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atom_set_basis.F
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atom_set_basis.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 !
!--------------------------------------------------------------------------------------------------!
! **************************************************************************************************
MODULE atom_set_basis
USE ai_onecenter, ONLY: sg_overlap
USE atom_types, ONLY: CGTO_BASIS,&
GTO_BASIS,&
atom_basis_type,&
lmat
USE basis_set_types, ONLY: get_gto_basis_set,&
gto_basis_set_type
USE input_constants, ONLY: do_gapw_log
USE kinds, ONLY: dp
USE mathconstants, ONLY: dfac,&
twopi
USE qs_grid_atom, ONLY: allocate_grid_atom,&
create_grid_atom,&
grid_atom_type
#include "./base/base_uses.f90"
IMPLICIT NONE
PRIVATE
CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'atom_set_basis'
INTEGER, PARAMETER :: nua = 40, nup = 20
REAL(KIND=dp), DIMENSION(nua), PARAMETER :: ugbs = (/0.007299_dp, 0.013705_dp, 0.025733_dp, &
0.048316_dp, 0.090718_dp, 0.170333_dp, 0.319819_dp, 0.600496_dp, 1.127497_dp, 2.117000_dp, &
3.974902_dp, 7.463317_dp, 14.013204_dp, 26.311339_dp, 49.402449_dp, 92.758561_dp, &
174.164456_dp, 327.013024_dp, 614.003114_dp, 1152.858743_dp, 2164.619772_dp, &
4064.312984_dp, 7631.197056_dp, 14328.416324_dp, 26903.186074_dp, 50513.706789_dp, &
94845.070265_dp, 178082.107320_dp, 334368.848683_dp, 627814.487663_dp, 1178791.123851_dp, &
2213310.684886_dp, 4155735.557141_dp, 7802853.046713_dp, 14650719.428954_dp, &
27508345.793637_dp, 51649961.080194_dp, 96978513.342764_dp, 182087882.613702_dp, &
341890134.751331_dp/)
PUBLIC :: set_kind_basis_atomic
! **************************************************************************************************
CONTAINS
! **************************************************************************************************
!> \brief ...
!> \param basis ...
!> \param orb_basis_set ...
!> \param has_pp ...
!> \param agrid ...
!> \param cp2k_norm ...
! **************************************************************************************************
SUBROUTINE set_kind_basis_atomic(basis, orb_basis_set, has_pp, agrid, cp2k_norm)
TYPE(atom_basis_type), INTENT(INOUT) :: basis
TYPE(gto_basis_set_type), POINTER :: orb_basis_set
LOGICAL, INTENT(IN) :: has_pp
TYPE(grid_atom_type), OPTIONAL :: agrid
LOGICAL, INTENT(IN), OPTIONAL :: cp2k_norm
INTEGER :: i, ii, ipgf, j, k, l, m, ngp, nj, nr, &
ns, nset, nsgf, nu, quadtype
INTEGER, DIMENSION(:), POINTER :: lmax, lmin, npgf, nshell
INTEGER, DIMENSION(:, :), POINTER :: first_sgf, last_sgf, ls
LOGICAL :: has_basis, set_norm
REAL(KIND=dp) :: al, an, cn, ear, en, rk
REAL(KIND=dp), DIMENSION(:, :), POINTER :: zet
REAL(KIND=dp), DIMENSION(:, :, :), POINTER :: gcc
TYPE(grid_atom_type), POINTER :: grid
IF (ASSOCIATED(orb_basis_set)) THEN
has_basis = .TRUE.
ELSE
has_basis = .FALSE.
END IF
IF (PRESENT(cp2k_norm)) THEN
set_norm = cp2k_norm
ELSE
set_norm = .FALSE.
END IF
NULLIFY (grid)
IF (PRESENT(agrid)) THEN
ngp = agrid%nr
quadtype = agrid%quadrature
ELSE
ngp = 400
quadtype = do_gapw_log
END IF
CALL allocate_grid_atom(grid)
CALL create_grid_atom(grid, ngp, 1, 1, 0, quadtype)
grid%nr = ngp
basis%grid => grid
NULLIFY (basis%am, basis%cm, basis%as, basis%ns, basis%bf, basis%dbf, basis%ddbf)
IF (has_basis) THEN
! fill in the basis data structures
basis%basis_type = CGTO_BASIS
basis%eps_eig = 1.e-12_dp
CALL get_gto_basis_set(orb_basis_set, &
nset=nset, nshell=nshell, npgf=npgf, lmin=lmin, lmax=lmax, &
l=ls, nsgf=nsgf, zet=zet, gcc=gcc, &
first_sgf=first_sgf, last_sgf=last_sgf)
basis%nprim = 0
basis%nbas = 0
DO i = 1, nset
DO j = lmin(i), MIN(lmax(i), lmat)
basis%nprim(j) = basis%nprim(j) + npgf(i)
END DO
DO j = 1, nshell(i)
l = ls(j, i)
IF (l <= lmat) THEN
basis%nbas(l) = basis%nbas(l) + 1
k = basis%nbas(l)
END IF
END DO
END DO
nj = MAXVAL(basis%nprim)
ns = MAXVAL(basis%nbas)
ALLOCATE (basis%am(nj, 0:lmat))
basis%am = 0._dp
ALLOCATE (basis%cm(nj, ns, 0:lmat))
basis%cm = 0._dp
DO j = 0, lmat
nj = 0
ns = 0
cn = 2.0_dp**(j + 2)/SQRT(dfac(2*j + 1))/twopi**0.25_dp
en = (2*j + 3)*0.25_dp
DO i = 1, nset
IF (j >= lmin(i) .AND. j <= lmax(i)) THEN
DO ipgf = 1, npgf(i)
basis%am(nj + ipgf, j) = zet(ipgf, i)
END DO
DO ii = 1, nshell(i)
IF (ls(ii, i) == j) THEN
ns = ns + 1
IF (set_norm) THEN
DO ipgf = 1, npgf(i)
an = cn*zet(ipgf, i)**en
basis%cm(nj + ipgf, ns, j) = an*gcc(ipgf, ii, i)
END DO
ELSE
DO ipgf = 1, npgf(i)
basis%cm(nj + ipgf, ns, j) = gcc(ipgf, ii, i)
END DO
END IF
END IF
END DO
nj = nj + npgf(i)
END IF
END DO
END DO
! Normalization
IF (set_norm) THEN
CALL normalize_basis_cp2k(basis)
END IF
ELSE
! use default basis
IF (has_pp) THEN
nu = nup
ELSE
nu = nua
END IF
basis%geometrical = .FALSE.
basis%aval = 0._dp
basis%cval = 0._dp
basis%start = 0
basis%eps_eig = 1.e-12_dp
basis%basis_type = GTO_BASIS
basis%nbas = nu
basis%nprim = nu
ALLOCATE (basis%am(nu, 0:lmat))
DO i = 0, lmat
basis%am(1:nu, i) = ugbs(1:nu)
END DO
END IF
! initialize basis function on a radial grid
nr = basis%grid%nr
m = MAXVAL(basis%nbas)
ALLOCATE (basis%bf(nr, m, 0:lmat))
ALLOCATE (basis%dbf(nr, m, 0:lmat))
ALLOCATE (basis%ddbf(nr, m, 0:lmat))
basis%bf = 0._dp
basis%dbf = 0._dp
basis%ddbf = 0._dp
DO l = 0, lmat
DO i = 1, basis%nprim(l)
al = basis%am(i, l)
IF (basis%basis_type == GTO_BASIS) THEN
DO k = 1, nr
rk = basis%grid%rad(k)
ear = EXP(-al*basis%grid%rad(k)**2)
basis%bf(k, i, l) = rk**l*ear
basis%dbf(k, i, l) = (REAL(l, dp)*rk**(l - 1) - 2._dp*al*rk**(l + 1))*ear
basis%ddbf(k, i, l) = (REAL(l*(l - 1), dp)*rk**(l - 2) - &
2._dp*al*REAL(2*l + 1, dp)*rk**(l) + 4._dp*al*rk**(l + 2))*ear
END DO
ELSEIF (basis%basis_type == CGTO_BASIS) THEN
DO k = 1, nr
rk = basis%grid%rad(k)
ear = EXP(-al*basis%grid%rad(k)**2)
DO j = 1, basis%nbas(l)
basis%bf(k, j, l) = basis%bf(k, j, l) + rk**l*ear*basis%cm(i, j, l)
basis%dbf(k, j, l) = basis%dbf(k, j, l) &
+ (REAL(l, dp)*rk**(l - 1) - 2._dp*al*rk**(l + 1))*ear*basis%cm(i, j, l)
basis%ddbf(k, j, l) = basis%ddbf(k, j, l) + &
(REAL(l*(l - 1), dp)*rk**(l - 2) - 2._dp*al*REAL(2*l + 1, dp)*rk**(l) + &
4._dp*al*rk**(l + 2))*ear*basis%cm(i, j, l)
END DO
END DO
ELSE
CPABORT('Atom basis type?')
END IF
END DO
END DO
END SUBROUTINE set_kind_basis_atomic
! **************************************************************************************************
!> \brief ...
!> \param basis ...
! **************************************************************************************************
SUBROUTINE normalize_basis_cp2k(basis)
TYPE(atom_basis_type), INTENT(INOUT) :: basis
INTEGER :: ii, l, n, np
REAL(KIND=dp) :: fnorm
REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :) :: smat
DO l = 0, lmat
n = basis%nbas(l)
np = basis%nprim(l)
IF (n > 0) THEN
ALLOCATE (smat(np, np))
CALL sg_overlap(smat, l, basis%am(1:np, l), basis%am(1:np, l))
DO ii = 1, basis%nbas(l)
fnorm = DOT_PRODUCT(basis%cm(1:np, ii, l), MATMUL(smat, basis%cm(1:np, ii, l)))
fnorm = 1._dp/SQRT(fnorm)
basis%cm(1:np, ii, l) = fnorm*basis%cm(1:np, ii, l)
END DO
DEALLOCATE (smat)
END IF
END DO
END SUBROUTINE normalize_basis_cp2k
! **************************************************************************************************
END MODULE atom_set_basis