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xtb_hab_force.F
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xtb_hab_force.F
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!--------------------------------------------------------------------------------------------------!
! CP2K: A general program to perform molecular dynamics simulations !
! Copyright 2000-2024 CP2K developers group <https://cp2k.org> !
! !
! SPDX-License-Identifier: GPL-2.0-or-later !
!--------------------------------------------------------------------------------------------------!
! **************************************************************************************************
!> \brief Calculation of xTB Hamiltonian derivative
!> Reference: Stefan Grimme, Christoph Bannwarth, Philip Shushkov
!> JCTC 13, 1989-2009, (2017)
!> DOI: 10.1021/acs.jctc.7b00118
!> \author JGH
! **************************************************************************************************
MODULE xtb_hab_force
USE ai_contraction, ONLY: block_add,&
contraction
USE ai_overlap, ONLY: overlap_ab
USE atomic_kind_types, ONLY: atomic_kind_type,&
get_atomic_kind_set
USE basis_set_types, ONLY: gto_basis_set_p_type,&
gto_basis_set_type
USE block_p_types, ONLY: block_p_type
USE cp_control_types, ONLY: dft_control_type,&
xtb_control_type
USE cp_dbcsr_api, ONLY: dbcsr_create,&
dbcsr_finalize,&
dbcsr_get_block_p,&
dbcsr_p_type,&
dbcsr_type
USE cp_dbcsr_cp2k_link, ONLY: cp_dbcsr_alloc_block_from_nbl
USE cp_dbcsr_operations, ONLY: dbcsr_allocate_matrix_set,&
dbcsr_deallocate_matrix_set
USE cp_log_handling, ONLY: cp_get_default_logger,&
cp_logger_type
USE kinds, ONLY: dp
USE message_passing, ONLY: mp_para_env_type
USE orbital_pointers, ONLY: ncoset
USE particle_types, ONLY: particle_type
USE qs_dispersion_cnum, ONLY: cnumber_init,&
cnumber_release,&
dcnum_type
USE qs_environment_types, ONLY: get_qs_env,&
qs_environment_type
USE qs_force_types, ONLY: qs_force_type
USE qs_integral_utils, ONLY: basis_set_list_setup,&
get_memory_usage
USE qs_kind_types, ONLY: get_qs_kind,&
qs_kind_type
USE qs_ks_types, ONLY: qs_ks_env_type
USE qs_neighbor_list_types, ONLY: get_iterator_info,&
neighbor_list_iterate,&
neighbor_list_iterator_create,&
neighbor_list_iterator_p_type,&
neighbor_list_iterator_release,&
neighbor_list_set_p_type
USE qs_overlap, ONLY: create_sab_matrix
USE xtb_hcore, ONLY: gfn1_huckel,&
gfn1_kpair
USE xtb_types, ONLY: get_xtb_atom_param,&
xtb_atom_type
#include "./base/base_uses.f90"
IMPLICIT NONE
PRIVATE
CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'xtb_hab_force'
PUBLIC :: build_xtb_hab_force
CONTAINS
! **************************************************************************************************
!> \brief ...
!> \param qs_env ...
!> \param p_matrix ...
! **************************************************************************************************
SUBROUTINE build_xtb_hab_force(qs_env, p_matrix)
TYPE(qs_environment_type), POINTER :: qs_env
TYPE(dbcsr_type), POINTER :: p_matrix
CHARACTER(LEN=*), PARAMETER :: routineN = 'build_xtb_hab_force'
INTEGER :: atom_a, atom_b, atom_c, handle, i, iatom, ic, icol, ikind, img, ir, irow, iset, &
j, jatom, jkind, jset, katom, kkind, la, lb, ldsab, maxder, n1, n2, na, natom, natorb_a, &
natorb_b, nb, ncoa, ncob, nderivatives, nimg, nkind, nsa, nsb, nseta, nsetb, sgfa, sgfb, &
za, zb
INTEGER, ALLOCATABLE, DIMENSION(:) :: atom_of_kind, kind_of
INTEGER, DIMENSION(25) :: laoa, laob, naoa, naob
INTEGER, DIMENSION(3) :: cell
INTEGER, DIMENSION(:), POINTER :: la_max, la_min, lb_max, lb_min, npgfa, &
npgfb, nsgfa, nsgfb
INTEGER, DIMENSION(:, :), POINTER :: first_sgfa, first_sgfb
LOGICAL :: defined, diagblock, found, use_virial
REAL(KIND=dp) :: dfp, dhij, dr, drk, drx, f0, fhua, fhub, &
fhud, foab, hij, rcova, rcovab, rcovb, &
rrab
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:) :: cnumbers
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :) :: dfblock, dhuckel, huckel, owork
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :) :: oint, sint
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :, :, :) :: kijab
REAL(KIND=dp), DIMENSION(3) :: fdik, fdika, fdikb, force_ab, rij, rik
REAL(KIND=dp), DIMENSION(5) :: dpia, dpib, kpolya, kpolyb, pia, pib
REAL(KIND=dp), DIMENSION(:), POINTER :: set_radius_a, set_radius_b
REAL(KIND=dp), DIMENSION(:, :), POINTER :: fblock, pblock, rpgfa, rpgfb, sblock, &
scon_a, scon_b, zeta, zetb
TYPE(atomic_kind_type), DIMENSION(:), POINTER :: atomic_kind_set
TYPE(block_p_type), DIMENSION(2:4) :: dsblocks
TYPE(cp_logger_type), POINTER :: logger
TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER :: matrix_h, matrix_s
TYPE(dcnum_type), ALLOCATABLE, DIMENSION(:) :: dcnum
TYPE(dft_control_type), POINTER :: dft_control
TYPE(gto_basis_set_p_type), DIMENSION(:), POINTER :: basis_set_list
TYPE(gto_basis_set_type), POINTER :: basis_set_a, basis_set_b
TYPE(mp_para_env_type), POINTER :: para_env
TYPE(neighbor_list_iterator_p_type), &
DIMENSION(:), POINTER :: nl_iterator
TYPE(neighbor_list_set_p_type), DIMENSION(:), &
POINTER :: sab_orb
TYPE(particle_type), DIMENSION(:), POINTER :: particle_set
TYPE(qs_force_type), DIMENSION(:), POINTER :: force
TYPE(qs_kind_type), DIMENSION(:), POINTER :: qs_kind_set
TYPE(qs_ks_env_type), POINTER :: ks_env
TYPE(xtb_atom_type), POINTER :: xtb_atom_a, xtb_atom_b
TYPE(xtb_control_type), POINTER :: xtb_control
CALL timeset(routineN, handle)
NULLIFY (logger)
logger => cp_get_default_logger()
NULLIFY (matrix_h, matrix_s, atomic_kind_set, qs_kind_set, sab_orb)
CALL get_qs_env(qs_env=qs_env, &
atomic_kind_set=atomic_kind_set, &
qs_kind_set=qs_kind_set, &
dft_control=dft_control, &
para_env=para_env, &
sab_orb=sab_orb)
CPASSERT(dft_control%qs_control%xtb_control%gfn_type == 1)
nkind = SIZE(atomic_kind_set)
xtb_control => dft_control%qs_control%xtb_control
nimg = dft_control%nimages
nderivatives = 1
maxder = ncoset(nderivatives)
NULLIFY (particle_set)
CALL get_qs_env(qs_env=qs_env, particle_set=particle_set)
natom = SIZE(particle_set)
CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, &
atom_of_kind=atom_of_kind, kind_of=kind_of)
NULLIFY (force)
CALL get_qs_env(qs_env=qs_env, force=force)
use_virial = .FALSE.
CPASSERT(nimg == 1)
! set up basis set lists
ALLOCATE (basis_set_list(nkind))
CALL basis_set_list_setup(basis_set_list, "ORB", qs_kind_set)
! allocate overlap matrix
CALL get_qs_env(qs_env=qs_env, ks_env=ks_env)
CALL dbcsr_allocate_matrix_set(matrix_s, maxder, nimg)
CALL create_sab_matrix(ks_env, matrix_s, "xTB OVERLAP MATRIX", basis_set_list, basis_set_list, &
sab_orb, .TRUE.)
! initialize H matrix
CALL dbcsr_allocate_matrix_set(matrix_h, 1, nimg)
DO img = 1, nimg
ALLOCATE (matrix_h(1, img)%matrix)
CALL dbcsr_create(matrix_h(1, img)%matrix, template=matrix_s(1, 1)%matrix, &
name="HAMILTONIAN MATRIX")
CALL cp_dbcsr_alloc_block_from_nbl(matrix_h(1, img)%matrix, sab_orb)
END DO
! Calculate coordination numbers
! needed for effective atomic energy levels (Eq. 12)
! code taken from D3 dispersion energy
CALL cnumber_init(qs_env, cnumbers, dcnum, 1, .TRUE.)
! Calculate Huckel parameters
CALL gfn1_huckel(qs_env, cnumbers, huckel, dhuckel, .TRUE.)
! Calculate KAB parameters and electronegativity correction
CALL gfn1_kpair(qs_env, kijab)
! loop over all atom pairs with a non-zero overlap (sab_orb)
CALL neighbor_list_iterator_create(nl_iterator, sab_orb)
DO WHILE (neighbor_list_iterate(nl_iterator) == 0)
CALL get_iterator_info(nl_iterator, ikind=ikind, jkind=jkind, &
iatom=iatom, jatom=jatom, r=rij, cell=cell)
CALL get_qs_kind(qs_kind_set(ikind), xtb_parameter=xtb_atom_a)
CALL get_xtb_atom_param(xtb_atom_a, defined=defined, natorb=natorb_a)
IF (.NOT. defined .OR. natorb_a < 1) CYCLE
CALL get_qs_kind(qs_kind_set(jkind), xtb_parameter=xtb_atom_b)
CALL get_xtb_atom_param(xtb_atom_b, defined=defined, natorb=natorb_b)
IF (.NOT. defined .OR. natorb_b < 1) CYCLE
dr = SQRT(SUM(rij(:)**2))
! atomic parameters
CALL get_xtb_atom_param(xtb_atom_a, z=za, nao=naoa, lao=laoa, rcov=rcova, &
nshell=nsa, kpoly=kpolya)
CALL get_xtb_atom_param(xtb_atom_b, z=zb, nao=naob, lao=laob, rcov=rcovb, &
nshell=nsb, kpoly=kpolyb)
ic = 1
icol = MAX(iatom, jatom)
irow = MIN(iatom, jatom)
NULLIFY (sblock, fblock)
CALL dbcsr_get_block_p(matrix=matrix_s(1, ic)%matrix, &
row=irow, col=icol, BLOCK=sblock, found=found)
CPASSERT(found)
CALL dbcsr_get_block_p(matrix=matrix_h(1, ic)%matrix, &
row=irow, col=icol, BLOCK=fblock, found=found)
CPASSERT(found)
NULLIFY (pblock)
CALL dbcsr_get_block_p(matrix=p_matrix, &
row=irow, col=icol, block=pblock, found=found)
CPASSERT(ASSOCIATED(pblock))
DO i = 2, 4
NULLIFY (dsblocks(i)%block)
CALL dbcsr_get_block_p(matrix=matrix_s(i, ic)%matrix, &
row=irow, col=icol, BLOCK=dsblocks(i)%block, found=found)
CPASSERT(found)
END DO
! overlap
basis_set_a => basis_set_list(ikind)%gto_basis_set
IF (.NOT. ASSOCIATED(basis_set_a)) CYCLE
basis_set_b => basis_set_list(jkind)%gto_basis_set
IF (.NOT. ASSOCIATED(basis_set_b)) CYCLE
atom_a = atom_of_kind(iatom)
atom_b = atom_of_kind(jatom)
! basis ikind
first_sgfa => basis_set_a%first_sgf
la_max => basis_set_a%lmax
la_min => basis_set_a%lmin
npgfa => basis_set_a%npgf
nseta = basis_set_a%nset
nsgfa => basis_set_a%nsgf_set
rpgfa => basis_set_a%pgf_radius
set_radius_a => basis_set_a%set_radius
scon_a => basis_set_a%scon
zeta => basis_set_a%zet
! basis jkind
first_sgfb => basis_set_b%first_sgf
lb_max => basis_set_b%lmax
lb_min => basis_set_b%lmin
npgfb => basis_set_b%npgf
nsetb = basis_set_b%nset
nsgfb => basis_set_b%nsgf_set
rpgfb => basis_set_b%pgf_radius
set_radius_b => basis_set_b%set_radius
scon_b => basis_set_b%scon
zetb => basis_set_b%zet
ldsab = get_memory_usage(qs_kind_set, "ORB", "ORB")
ALLOCATE (oint(ldsab, ldsab, maxder), owork(ldsab, ldsab))
ALLOCATE (sint(natorb_a, natorb_b, maxder))
sint = 0.0_dp
DO iset = 1, nseta
ncoa = npgfa(iset)*ncoset(la_max(iset))
n1 = npgfa(iset)*(ncoset(la_max(iset)) - ncoset(la_min(iset) - 1))
sgfa = first_sgfa(1, iset)
DO jset = 1, nsetb
IF (set_radius_a(iset) + set_radius_b(jset) < dr) CYCLE
ncob = npgfb(jset)*ncoset(lb_max(jset))
n2 = npgfb(jset)*(ncoset(lb_max(jset)) - ncoset(lb_min(jset) - 1))
sgfb = first_sgfb(1, jset)
CALL overlap_ab(la_max(iset), la_min(iset), npgfa(iset), rpgfa(:, iset), zeta(:, iset), &
lb_max(jset), lb_min(jset), npgfb(jset), rpgfb(:, jset), zetb(:, jset), &
rij, sab=oint(:, :, 1), dab=oint(:, :, 2:4))
! Contraction
DO i = 1, 4
CALL contraction(oint(:, :, i), owork, ca=scon_a(:, sgfa:), na=n1, ma=nsgfa(iset), &
cb=scon_b(:, sgfb:), nb=n2, mb=nsgfb(jset), fscale=1.0_dp, trans=.FALSE.)
CALL block_add("IN", owork, nsgfa(iset), nsgfb(jset), sint(:, :, i), sgfa, sgfb, trans=.FALSE.)
END DO
END DO
END DO
! update S matrix
IF (iatom <= jatom) THEN
sblock(:, :) = sblock(:, :) + sint(:, :, 1)
ELSE
sblock(:, :) = sblock(:, :) + TRANSPOSE(sint(:, :, 1))
END IF
DO i = 2, 4
IF (iatom <= jatom) THEN
dsblocks(i)%block(:, :) = dsblocks(i)%block(:, :) + sint(:, :, i)
ELSE
dsblocks(i)%block(:, :) = dsblocks(i)%block(:, :) - TRANSPOSE(sint(:, :, i))
END IF
END DO
! Calculate Pi = Pia * Pib (Eq. 11)
rcovab = rcova + rcovb
rrab = SQRT(dr/rcovab)
pia(1:nsa) = 1._dp + kpolya(1:nsa)*rrab
pib(1:nsb) = 1._dp + kpolyb(1:nsb)*rrab
IF (dr > 1.e-6_dp) THEN
drx = 0.5_dp/rrab/rcovab
ELSE
drx = 0.0_dp
END IF
dpia(1:nsa) = drx*kpolya(1:nsa)
dpib(1:nsb) = drx*kpolyb(1:nsb)
! diagonal block
diagblock = .FALSE.
IF (iatom == jatom .AND. dr < 0.001_dp) diagblock = .TRUE.
!
! Eq. 10
!
IF (diagblock) THEN
DO i = 1, natorb_a
na = naoa(i)
fblock(i, i) = fblock(i, i) + huckel(na, iatom)
END DO
ELSE
DO j = 1, natorb_b
nb = naob(j)
DO i = 1, natorb_a
na = naoa(i)
hij = 0.5_dp*(huckel(na, iatom) + huckel(nb, jatom))*pia(na)*pib(nb)
IF (iatom <= jatom) THEN
fblock(i, j) = fblock(i, j) + hij*sint(i, j, 1)*kijab(i, j, ikind, jkind)
ELSE
fblock(j, i) = fblock(j, i) + hij*sint(i, j, 1)*kijab(i, j, ikind, jkind)
END IF
END DO
END DO
END IF
f0 = 1.0_dp
IF (irow == iatom) f0 = -1.0_dp
! Derivative wrt coordination number
fhua = 0.0_dp
fhub = 0.0_dp
fhud = 0.0_dp
IF (diagblock) THEN
DO i = 1, natorb_a
la = laoa(i)
na = naoa(i)
fhud = fhud + pblock(i, i)*dhuckel(na, iatom)
END DO
ELSE
DO j = 1, natorb_b
lb = laob(j)
nb = naob(j)
DO i = 1, natorb_a
la = laoa(i)
na = naoa(i)
hij = 0.5_dp*pia(na)*pib(nb)
IF (iatom <= jatom) THEN
fhua = fhua + hij*kijab(i, j, ikind, jkind)*sint(i, j, 1)*pblock(i, j)*dhuckel(na, iatom)
fhub = fhub + hij*kijab(i, j, ikind, jkind)*sint(i, j, 1)*pblock(i, j)*dhuckel(nb, jatom)
ELSE
fhua = fhua + hij*kijab(i, j, ikind, jkind)*sint(i, j, 1)*pblock(j, i)*dhuckel(na, iatom)
fhub = fhub + hij*kijab(i, j, ikind, jkind)*sint(i, j, 1)*pblock(j, i)*dhuckel(nb, jatom)
END IF
END DO
END DO
IF (iatom /= jatom) THEN
fhua = 2.0_dp*fhua
fhub = 2.0_dp*fhub
END IF
END IF
! iatom
atom_a = atom_of_kind(iatom)
DO i = 1, dcnum(iatom)%neighbors
katom = dcnum(iatom)%nlist(i)
kkind = kind_of(katom)
atom_c = atom_of_kind(katom)
rik = dcnum(iatom)%rik(:, i)
drk = SQRT(SUM(rik(:)**2))
IF (drk > 1.e-3_dp) THEN
fdika(:) = fhua*dcnum(iatom)%dvals(i)*rik(:)/drk
force(ikind)%all_potential(:, atom_a) = force(ikind)%all_potential(:, atom_a) - fdika(:)
force(kkind)%all_potential(:, atom_c) = force(kkind)%all_potential(:, atom_c) + fdika(:)
fdikb(:) = fhud*dcnum(iatom)%dvals(i)*rik(:)/drk
force(ikind)%all_potential(:, atom_a) = force(ikind)%all_potential(:, atom_a) - fdikb(:)
force(kkind)%all_potential(:, atom_c) = force(kkind)%all_potential(:, atom_c) + fdikb(:)
END IF
END DO
! jatom
atom_b = atom_of_kind(jatom)
DO i = 1, dcnum(jatom)%neighbors
katom = dcnum(jatom)%nlist(i)
kkind = kind_of(katom)
atom_c = atom_of_kind(katom)
rik = dcnum(jatom)%rik(:, i)
drk = SQRT(SUM(rik(:)**2))
IF (drk > 1.e-3_dp) THEN
fdik(:) = fhub*dcnum(jatom)%dvals(i)*rik(:)/drk
force(jkind)%all_potential(:, atom_b) = force(jkind)%all_potential(:, atom_b) - fdik(:)
force(kkind)%all_potential(:, atom_c) = force(kkind)%all_potential(:, atom_c) + fdik(:)
END IF
END DO
IF (diagblock) THEN
force_ab = 0._dp
ELSE
! force from R dendent Huckel element
n1 = SIZE(fblock, 1)
n2 = SIZE(fblock, 2)
ALLOCATE (dfblock(n1, n2))
dfblock = 0.0_dp
DO j = 1, natorb_b
lb = laob(j)
nb = naob(j)
DO i = 1, natorb_a
la = laoa(i)
na = naoa(i)
dhij = 0.5_dp*(huckel(na, iatom) + huckel(nb, jatom))*(dpia(na)*pib(nb) + pia(na)*dpib(nb))
IF (iatom <= jatom) THEN
dfblock(i, j) = dfblock(i, j) + dhij*sint(i, j, 1)*kijab(i, j, ikind, jkind)
ELSE
dfblock(j, i) = dfblock(j, i) + dhij*sint(i, j, 1)*kijab(i, j, ikind, jkind)
END IF
END DO
END DO
dfp = f0*SUM(dfblock(:, :)*pblock(:, :))
DO ir = 1, 3
foab = 2.0_dp*dfp*rij(ir)/dr
! force from overlap matrix contribution to H
DO j = 1, natorb_b
lb = laob(j)
nb = naob(j)
DO i = 1, natorb_a
la = laoa(i)
na = naoa(i)
hij = 0.5_dp*(huckel(na, iatom) + huckel(nb, jatom))*pia(na)*pib(nb)
IF (iatom <= jatom) THEN
foab = foab + 2.0_dp*hij*sint(i, j, ir + 1)*pblock(i, j)*kijab(i, j, ikind, jkind)
ELSE
foab = foab - 2.0_dp*hij*sint(i, j, ir + 1)*pblock(j, i)*kijab(i, j, ikind, jkind)
END IF
END DO
END DO
force_ab(ir) = foab
END DO
DEALLOCATE (dfblock)
END IF
atom_a = atom_of_kind(iatom)
atom_b = atom_of_kind(jatom)
IF (irow == iatom) force_ab = -force_ab
force(ikind)%all_potential(:, atom_a) = force(ikind)%all_potential(:, atom_a) - force_ab(:)
force(jkind)%all_potential(:, atom_b) = force(jkind)%all_potential(:, atom_b) + force_ab(:)
DEALLOCATE (oint, owork, sint)
END DO
CALL neighbor_list_iterator_release(nl_iterator)
DO i = 1, SIZE(matrix_h, 1)
DO img = 1, nimg
CALL dbcsr_finalize(matrix_h(i, img)%matrix)
CALL dbcsr_finalize(matrix_s(i, img)%matrix)
END DO
END DO
CALL dbcsr_deallocate_matrix_set(matrix_s)
CALL dbcsr_deallocate_matrix_set(matrix_h)
! deallocate coordination numbers
CALL cnumber_release(cnumbers, dcnum, .TRUE.)
! deallocate Huckel parameters
DEALLOCATE (huckel, dhuckel)
! deallocate KAB parameters
DEALLOCATE (kijab)
DEALLOCATE (basis_set_list)
CALL timestop(handle)
END SUBROUTINE build_xtb_hab_force
END MODULE xtb_hab_force