mirror of https://gitlab.com/QEF/q-e.git
169 lines
5.0 KiB
Fortran
169 lines
5.0 KiB
Fortran
!
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! Copyright (C) 2001-2009 Quantum ESPRESSO group
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! This file is distributed under the terms of the
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! GNU General Public License. See the file `License'
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! in the root directory of the present distribution,
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! or http://www.gnu.org/copyleft/gpl.txt .
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!
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!
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!-----------------------------------------------------------------------
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subroutine force_ew (alat, nat, ntyp, ityp, zv, at, bg, tau, &
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omega, g, gg, ngm, gstart, gamma_only, gcutm, strf, forceion)
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!-----------------------------------------------------------------------
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!
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! This routine computes the Ewald contribution to the forces,
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! both the real- and reciprocal-space terms are present
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!
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USE kinds
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USE constants, ONLY : tpi, e2
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USE mp_global, ONLY : intra_pool_comm
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USE mp, ONLY : mp_sum
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implicit none
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!
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! First the dummy variables
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!
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integer :: nat, ntyp, ngm, ityp (nat), gstart
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! input: the number of atoms
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! input: the number of types of atom
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! input: the number of G vectors
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! input: the type of each atom
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! input: first non-zero G vector
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logical :: gamma_only
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real(DP) :: factor, tau (3, nat), g (3, ngm), gg (ngm), zv (ntyp), &
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at (3, 3), bg (3, 3), omega, gcutm, alat
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! input: the coordinates of the atoms
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! input: the G vectors
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! input: the moduli of G vectors
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! input: the charge of the atoms
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! input: the direct lattice vectors
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! input: the reciprocal lattice vectors
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! input: the volume of the unit cell
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! input: cut-off of g vectors
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! input: the edge of the cell
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!
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complex(DP) :: strf (ngm, ntyp)
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! input: the structure factor on the potential
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!
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real(DP) :: forceion (3, nat)
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! output: the ewald part of the forces
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!
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integer, parameter :: mxr=50
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! the maximum number of R vectors
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integer :: ig, n, na, nb, nt, nrm, ipol
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! counter on G vectos
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! counter on r vectors
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! counter on atoms
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! counter on atoms
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! counter on atomic types
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! the number of R vectors for real space su
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! counter on polarization
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real(DP) :: sumnb, arg, tpiba2, alpha, dtau (3), r (3, mxr), &
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r2 (mxr), rmax, rr, charge, upperbound, fact
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! auxiliary variable for speed
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! the argument of the exponential
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! 2 pi /alat
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! the alpha parameter
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! the difference of two tau
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! the position of the atoms in the shell
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! the square of r
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! the maximum r
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! the modulus of the r vectors
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! the total charge
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! used to determine alpha
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complex(DP), allocatable :: aux (:)
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! auxiliary space
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real(DP), external :: qe_erfc
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!
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forceion(:,:) = 0.d0
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tpiba2 = (tpi / alat) **2
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charge = 0.d0
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do na = 1, nat
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charge = charge+zv (ityp (na) )
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enddo
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!
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! choose alpha in order to have convergence in the sum over G
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! upperbound is a safe upper bound for the error ON THE ENERGY
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!
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alpha = 1.1d0
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10 alpha = alpha - 0.1d0
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if (alpha.eq.0.d0) call errore ('force_ew', 'optimal alpha not found', 1)
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upperbound = e2 * charge**2 * sqrt (2.d0 * alpha / tpi) * &
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qe_erfc ( sqrt (tpiba2 * gcutm / 4.d0 / alpha) )
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if (upperbound > 1.0d-6) goto 10
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!
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! G-space sum here
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!
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allocate(aux(ngm))
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aux(:) = (0.d0, 0.d0)
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do nt = 1, ntyp
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do ig = gstart, ngm
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aux (ig) = aux (ig) + zv (nt) * CONJG(strf (ig, nt) )
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enddo
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enddo
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do ig = gstart, ngm
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aux (ig) = aux (ig) * exp ( - gg (ig) * tpiba2 / alpha / 4.d0) &
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/ (gg (ig) * tpiba2)
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enddo
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if (gamma_only) then
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fact = 4.d0
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else
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fact = 2.d0
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end if
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do na = 1, nat
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do ig = gstart, ngm
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arg = tpi * (g (1, ig) * tau (1, na) + g (2, ig) * tau (2, na) &
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+ g (3, ig) * tau (3, na) )
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sumnb = cos (arg) * AIMAG (aux(ig)) - sin (arg) * DBLE (aux(ig) )
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forceion (1, na) = forceion (1, na) + g (1, ig) * sumnb
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forceion (2, na) = forceion (2, na) + g (2, ig) * sumnb
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forceion (3, na) = forceion (3, na) + g (3, ig) * sumnb
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enddo
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do ipol = 1, 3
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forceion (ipol, na) = - zv (ityp (na) ) * fact * e2 * tpi**2 / &
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omega / alat * forceion (ipol, na)
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enddo
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enddo
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deallocate (aux)
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if (gstart == 1) goto 100
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!
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! R-space sum here (only for the processor that contains G=0)
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!
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rmax = 5.d0 / (sqrt (alpha) * alat)
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!
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! with this choice terms up to ZiZj*erfc(5) are counted (erfc(5)=2x10^-1
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!
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do na = 1, nat
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do nb = 1, nat
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if (nb.eq.na) goto 50
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dtau (:) = tau (:, na) - tau (:, nb)
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!
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! generates nearest-neighbors shells r(i)=R(i)-dtau(i)
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!
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call rgen (dtau, rmax, mxr, at, bg, r, r2, nrm)
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do n = 1, nrm
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rr = sqrt (r2 (n) ) * alat
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factor = zv (ityp (na) ) * zv (ityp (nb) ) * e2 / rr**2 * &
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(qe_erfc (sqrt (alpha) * rr) / rr + &
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sqrt (8.0d0 * alpha / tpi) * exp ( - alpha * rr**2) ) * alat
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do ipol = 1, 3
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forceion (ipol, na) = forceion (ipol, na) - factor * r (ipol, n)
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enddo
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enddo
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50 continue
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enddo
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enddo
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100 continue
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#ifdef __PARA
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call mp_sum( forceion, intra_pool_comm )
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#endif
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return
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end subroutine force_ew
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