abinit/tests/tutomultibinit/Refs/tmulti_l_7_1_coeffs.xml

<?xml version="1.0" ?>
<Heff_definition>
  <coefficient number="1" value="  -0.4278388107E+00" text="(Hf_y-O1_y)^2(eta_2)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="2" value="  -0.3327646441E-02" text="(Hf_x-O1_x)^2(Hf_z-O1_z)^1(Hf_y-O3_y)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
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      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
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      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
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      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
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    </term>
    <term weight="-1.000000">
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      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
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      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
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    </term>
    <term weight=" 1.000000">
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
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    </term>
    <term weight=" 1.000000">
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
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      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
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      </displacement_diff>
    </term>
    <term weight="-1.000000">
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
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      </displacement_diff>
    </term>
    <term weight=" 1.000000">
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
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      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
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      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
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      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
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      </displacement_diff>
    </term>
    <term weight=" 1.000000">
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    </term>
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      </displacement_diff>
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    </term>
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      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
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      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
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        <cell_b>0 0 0</cell_b>
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      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
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        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
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      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
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      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
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        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="3" value="  -0.1187863788E+00" text="(Hf_y-O1_y)^2(Hf_y-O1_y[0 1 0])^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
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        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
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      </displacement_diff>
    </term>
    <term weight="-1.000000">
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      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
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        <cell_b>0 0 1</cell_b>
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    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="4" value="  -0.1803561080E-01" text="(Hf_x-O1_x)^1(Hf_y-O2_y)^1(eta_1)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight="-1.000000">
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      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
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      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
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    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
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    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
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      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="5" value="  -0.1601915587E-01" text="(Hf_x-O1_x)^2(eta_3)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
  </coefficient>
  <coefficient number="6" value="   0.1964781166E-02" text="(Hf_x-O1_x)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="7" value="  -0.1414534096E-01" text="(Hf_x-O1_x)^2(Hf_y-O1_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="8" value="   0.2587457595E-02" text="(Hf_x-O1_x)^2(Hf_z-O3_z)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="9" value="   0.5017929917E-02" text="(Hf_x-O1_x)^1(Hf_z-O2_z)^1(eta_4)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="10" value="   0.3534582000E-01" text="(Hf_y-O1_y)^3(Hf_y-O1_y[0 1 0])^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="3">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="11" value="  -0.8641828993E-01" text="(Hf_y-O1_y)^2(eta_1)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 1" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="12" value="  -0.3014720033E-02" text="(Hf_x-O1_x)^1(Hf_x-O2_x)^1(Hf_y-O2_y)^1">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight="-1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="1">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="13" value="   0.9821688410E-02" text="(Hf_y-O1_y)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="14" value="   0.1093932787E-01" text="(Hf_y-O1_y)^8">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="15" value="   0.1524807975E+02" text="(Hf_y-O1_y)^4(eta_2)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="16" value="   0.7140767276E+03" text="(Hf_y-O1_y)^2(eta_2)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="17" value="   0.7254184126E+02" text="(Hf_y-O1_y)^6(eta_2)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="18" value="   0.2014007071E+07" text="(Hf_y-O1_y)^2(eta_2)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="19" value="   0.3146268000E-04" text="(Hf_x-O1_x)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="20" value="   0.1685084000E-04" text="(Hf_x-O1_x)^8">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="8">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="21" value="   0.2311096900E-03" text="(Hf_x-O1_x)^2(Hf_z-O1_z)^2(Hf_y-O3_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="22" value="   0.1368411900E-03" text="(Hf_x-O1_x)^4(Hf_z-O1_z)^2(Hf_y-O3_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="23" value="   0.1178386500E-03" text="(Hf_x-O1_x)^2(Hf_z-O1_z)^4(Hf_y-O3_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
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      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="24" value="   0.1201890200E-03" text="(Hf_x-O1_x)^2(Hf_z-O1_z)^2(Hf_y-O3_y)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
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      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
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      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="25" value="   0.1096114780E-01" text="(Hf_y-O1_y)^4(Hf_y-O1_y[0 1 0])^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="26" value="   0.7182542560E-01" text="(Hf_y-O1_y)^6(Hf_y-O1_y[0 1 0])^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="27" value="   0.1573446533E+00" text="(Hf_y-O1_y)^4(Hf_y-O1_y[0 1 0])^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="28" value="   0.5416134000E-04" text="(Hf_x-O1_x)^4(Hf_y-O2_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="29" value="   0.2347089000E-04" text="(Hf_x-O1_x)^6(Hf_y-O2_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="30" value="   0.7771326000E-04" text="(Hf_x-O1_x)^4(Hf_y-O2_y)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="31" value="   0.4078296553E-01" text="(Hf_x-O1_x)^2(Hf_y-O2_y)^2(eta_1)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="32" value="   0.9166350720E-02" text="(Hf_x-O1_x)^4(Hf_y-O2_y)^2(eta_1)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="33" value="   0.3668492376E-01" text="(Hf_x-O1_x)^2(Hf_y-O2_y)^4(eta_1)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="34" value="   0.2035929669E+03" text="(Hf_x-O1_x)^2(Hf_y-O2_y)^2(eta_1)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="35" value="   0.3141414157E-01" text="(Hf_x-O1_x)^4(eta_3)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
  </coefficient>
  <coefficient number="36" value="   0.2391792515E+02" text="(Hf_x-O1_x)^2(eta_3)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
  </coefficient>
  <coefficient number="37" value="   0.2971173525E-01" text="(Hf_x-O1_x)^6(eta_3)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
  </coefficient>
  <coefficient number="38" value="   0.8628644525E+05" text="(Hf_x-O1_x)^2(eta_3)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
  </coefficient>
  <coefficient number="39" value="   0.5392542800E-03" text="(Hf_x-O1_x)^4(Hf_y-O1_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="40" value="   0.2392305840E-02" text="(Hf_x-O1_x)^2(Hf_y-O1_y)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="41" value="   0.5131364100E-03" text="(Hf_x-O1_x)^6(Hf_y-O1_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="42" value="   0.1370027125E-01" text="(Hf_x-O1_x)^2(Hf_y-O1_y)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="43" value="   0.3597088990E-02" text="(Hf_x-O1_x)^4(Hf_y-O1_y)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="44" value="   0.1690377000E-03" text="(Hf_x-O1_x)^4(Hf_z-O3_z)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="45" value="   0.1051918500E-02" text="(Hf_x-O1_x)^2(Hf_z-O3_z)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="46" value="   0.1592437400E-03" text="(Hf_x-O1_x)^6(Hf_z-O3_z)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="47" value="   0.7963271460E-02" text="(Hf_x-O1_x)^2(Hf_z-O3_z)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="48" value="   0.1587137410E-02" text="(Hf_x-O1_x)^4(Hf_z-O3_z)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="49" value="   0.6268493000E-04" text="(Hf_x-O1_x)^4(Hf_z-O2_z)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="50" value="   0.5261064000E-04" text="(Hf_x-O1_x)^2(Hf_z-O2_z)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="51" value="   0.4109395000E-04" text="(Hf_x-O1_x)^6(Hf_z-O2_z)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="52" value="   0.3449824000E-04" text="(Hf_x-O1_x)^2(Hf_z-O2_z)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="53" value="   0.5858684000E-04" text="(Hf_x-O1_x)^4(Hf_z-O2_z)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="54" value="   0.0000000000E+00" text="(Hf_x-O1_x)^2(Hf_z-O2_z)^2(eta_4)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="55" value="   0.0000000000E+00" text="(Hf_x-O1_x)^4(Hf_z-O2_z)^2(eta_4)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="56" value="   0.0000000000E+00" text="(Hf_x-O1_x)^2(Hf_z-O2_z)^4(eta_4)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="57" value="   0.0000000000E+00" text="(Hf_x-O1_x)^2(Hf_z-O2_z)^2(eta_4)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="58" value="   0.1635402840E+01" text="(Hf_y-O1_y)^4(eta_1)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="59" value="   0.1728255540E+03" text="(Hf_y-O1_y)^2(eta_1)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 4" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="60" value="   0.1290962721E+02" text="(Hf_y-O1_y)^6(eta_1)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="6">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="61" value="   0.6770333793E+06" text="(Hf_y-O1_y)^2(eta_1)^6">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <strain power=" 6" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="62" value="   0.2520316300E-03" text="(Hf_x-O1_x)^2(Hf_x-O2_x)^2(Hf_y-O2_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="63" value="   0.3287829600E-03" text="(Hf_x-O1_x)^4(Hf_x-O2_x)^2(Hf_y-O2_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="64" value="   0.1891722410E-02" text="(Hf_x-O1_x)^2(Hf_x-O2_x)^4(Hf_y-O2_y)^2">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="65" value="   0.3549288900E-03" text="(Hf_x-O1_x)^2(Hf_x-O2_x)^2(Hf_y-O2_y)^4">
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="y" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="x" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>1 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="3" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="x" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 1</cell_b>
      </displacement_diff>
    </term>
    <term weight=" 1.000000">
      <displacement_diff atom_a="1" atom_b="2" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 1 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="z" power="2">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
      <displacement_diff atom_a="1" atom_b="4" direction="y" power="4">
        <cell_a>0 0 0</cell_a>
        <cell_b>0 0 0</cell_b>
      </displacement_diff>
    </term>
  </coefficient>
  <coefficient number="66" value="   0.1000000000E+01" text="(eta_1)^6">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="67" value="   0.1000000000E+01" text="(eta_1)^8">
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="68" value="   0.1000000000E+01" text="(eta_1)^6(eta_2)^2">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
    </term>
  </coefficient>
  <coefficient number="69" value="   0.1000000000E+01" text="(eta_1)^6(eta_4)^2">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="70" value="   0.1000000000E+01" text="(eta_1)^6(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="71" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
    </term>
  </coefficient>
  <coefficient number="72" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^4">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 4" voigt=" 2"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 4" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 4" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="73" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^2(eta_3)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
    </term>
  </coefficient>
  <coefficient number="74" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^2(eta_4)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="75" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^2(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="76" value="   0.1000000000E+01" text="(eta_1)^4(eta_2)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
  </coefficient>
  <coefficient number="77" value="   0.1000000000E+01" text="(eta_1)^4(eta_4)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="78" value="   0.1000000000E+01" text="(eta_1)^4(eta_4)^4">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="79" value="   0.1000000000E+01" text="(eta_1)^4(eta_4)^2(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="80" value="   0.1000000000E+01" text="(eta_1)^4(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="81" value="   0.1000000000E+01" text="(eta_1)^4(eta_5)^4">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="82" value="   0.1000000000E+01" text="(eta_1)^4(eta_5)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="83" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_3)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
    </term>
  </coefficient>
  <coefficient number="84" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_3)^2(eta_4)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="85" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_4)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="86" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_4)^4">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="87" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_4)^2(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="88" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_4)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
  </coefficient>
  <coefficient number="89" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="90" value="   0.1000000000E+01" text="(eta_1)^2(eta_2)^2(eta_6)^4">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="91" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^4">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="92" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^6">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 6" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 6" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 6" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="93" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^4(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="94" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^2(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="95" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^2(eta_5)^4">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="96" value="   0.1000000000E+01" text="(eta_1)^2(eta_4)^2(eta_5)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="97" value="   0.1000000000E+01" text="(eta_1)^2(eta_5)^4">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="98" value="   0.1000000000E+01" text="(eta_1)^2(eta_5)^6">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 6" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 6" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 6" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 6" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 6" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 6" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="99" value="   0.1000000000E+01" text="(eta_1)^2(eta_5)^4(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
  </coefficient>
  <coefficient number="100" value="   0.1000000000E+01" text="(eta_1)^2(eta_5)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 1"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 2"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 3"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="101" value="   0.1000000000E+01" text="(eta_4)^6">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="102" value="   0.1000000000E+01" text="(eta_4)^8">
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 8" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="103" value="   0.1000000000E+01" text="(eta_4)^6(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 6" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="104" value="   0.1000000000E+01" text="(eta_4)^4(eta_5)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="105" value="   0.1000000000E+01" text="(eta_4)^4(eta_5)^4">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 4" voigt=" 5"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 4" voigt=" 6"/>
    </term>
  </coefficient>
  <coefficient number="106" value="   0.1000000000E+01" text="(eta_4)^4(eta_5)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 5"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
    <term weight=" 1.000000">
      <strain power=" 4" voigt=" 6"/>
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
    </term>
  </coefficient>
  <coefficient number="107" value="   0.1000000000E+01" text="(eta_4)^2(eta_5)^2(eta_6)^2">
    <term weight=" 1.000000">
      <strain power=" 2" voigt=" 4"/>
      <strain power=" 2" voigt=" 5"/>
      <strain power=" 2" voigt=" 6"/>
    </term>
  </coefficient>
</Heff_definition>