LCOV - code coverage report
Current view: top level - src - qs_dftb_coulomb.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:2fce0f8) Lines: 348 353 98.6 %
Date: 2024-12-21 06:28:57 Functions: 3 3 100.0 %

          Line data    Source code
       1             : !--------------------------------------------------------------------------------------------------!
       2             : !   CP2K: A general program to perform molecular dynamics simulations                              !
       3             : !   Copyright 2000-2024 CP2K developers group <https://cp2k.org>                                   !
       4             : !                                                                                                  !
       5             : !   SPDX-License-Identifier: GPL-2.0-or-later                                                      !
       6             : !--------------------------------------------------------------------------------------------------!
       7             : 
       8             : ! **************************************************************************************************
       9             : !> \brief Calculation of Coulomb contributions in DFTB
      10             : !> \author JGH
      11             : ! **************************************************************************************************
      12             : MODULE qs_dftb_coulomb
      13             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      14             :                                               get_atomic_kind_set,&
      15             :                                               is_hydrogen
      16             :    USE atprop_types,                    ONLY: atprop_array_init,&
      17             :                                               atprop_type
      18             :    USE cell_types,                      ONLY: cell_type,&
      19             :                                               get_cell,&
      20             :                                               pbc
      21             :    USE cp_control_types,                ONLY: dft_control_type,&
      22             :                                               dftb_control_type
      23             :    USE cp_dbcsr_api,                    ONLY: dbcsr_add,&
      24             :                                               dbcsr_get_block_p,&
      25             :                                               dbcsr_iterator_blocks_left,&
      26             :                                               dbcsr_iterator_next_block,&
      27             :                                               dbcsr_iterator_start,&
      28             :                                               dbcsr_iterator_stop,&
      29             :                                               dbcsr_iterator_type,&
      30             :                                               dbcsr_p_type
      31             :    USE distribution_1d_types,           ONLY: distribution_1d_type
      32             :    USE ewald_environment_types,         ONLY: ewald_env_get,&
      33             :                                               ewald_environment_type
      34             :    USE ewald_methods_tb,                ONLY: tb_ewald_overlap,&
      35             :                                               tb_spme_evaluate
      36             :    USE ewald_pw_types,                  ONLY: ewald_pw_type
      37             :    USE kinds,                           ONLY: dp
      38             :    USE kpoint_types,                    ONLY: get_kpoint_info,&
      39             :                                               kpoint_type
      40             :    USE mathconstants,                   ONLY: oorootpi,&
      41             :                                               pi
      42             :    USE message_passing,                 ONLY: mp_para_env_type
      43             :    USE particle_types,                  ONLY: particle_type
      44             :    USE pw_poisson_types,                ONLY: do_ewald_ewald,&
      45             :                                               do_ewald_none,&
      46             :                                               do_ewald_pme,&
      47             :                                               do_ewald_spme
      48             :    USE qmmm_tb_coulomb,                 ONLY: build_tb_coulomb_qmqm
      49             :    USE qs_dftb3_methods,                ONLY: build_dftb3_diagonal
      50             :    USE qs_dftb_types,                   ONLY: qs_dftb_atom_type,&
      51             :                                               qs_dftb_pairpot_type
      52             :    USE qs_dftb_utils,                   ONLY: compute_block_sk,&
      53             :                                               get_dftb_atom_param
      54             :    USE qs_energy_types,                 ONLY: qs_energy_type
      55             :    USE qs_environment_types,            ONLY: get_qs_env,&
      56             :                                               qs_environment_type
      57             :    USE qs_force_types,                  ONLY: qs_force_type
      58             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      59             :                                               qs_kind_type
      60             :    USE qs_neighbor_list_types,          ONLY: get_iterator_info,&
      61             :                                               neighbor_list_iterate,&
      62             :                                               neighbor_list_iterator_create,&
      63             :                                               neighbor_list_iterator_p_type,&
      64             :                                               neighbor_list_iterator_release,&
      65             :                                               neighbor_list_set_p_type
      66             :    USE qs_rho_types,                    ONLY: qs_rho_get,&
      67             :                                               qs_rho_type
      68             :    USE sap_kind_types,                  ONLY: clist_type,&
      69             :                                               release_sap_int,&
      70             :                                               sap_int_type
      71             :    USE virial_methods,                  ONLY: virial_pair_force
      72             :    USE virial_types,                    ONLY: virial_type
      73             : #include "./base/base_uses.f90"
      74             : 
      75             :    IMPLICIT NONE
      76             : 
      77             :    PRIVATE
      78             : 
      79             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'qs_dftb_coulomb'
      80             : 
      81             :    ! screening for gamma function
      82             :    REAL(dp), PARAMETER                    :: tol_gamma = 1.e-4_dp
      83             :    ! small real number
      84             :    REAL(dp), PARAMETER                    :: rtiny = 1.e-10_dp
      85             : 
      86             :    PUBLIC :: build_dftb_coulomb, gamma_rab_sr
      87             : 
      88             : CONTAINS
      89             : 
      90             : ! **************************************************************************************************
      91             : !> \brief ...
      92             : !> \param qs_env ...
      93             : !> \param ks_matrix ...
      94             : !> \param rho ...
      95             : !> \param mcharge ...
      96             : !> \param energy ...
      97             : !> \param calculate_forces ...
      98             : !> \param just_energy ...
      99             : ! **************************************************************************************************
     100       11918 :    SUBROUTINE build_dftb_coulomb(qs_env, ks_matrix, rho, mcharge, energy, &
     101             :                                  calculate_forces, just_energy)
     102             : 
     103             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     104             :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: ks_matrix
     105             :       TYPE(qs_rho_type), POINTER                         :: rho
     106             :       REAL(dp), DIMENSION(:)                             :: mcharge
     107             :       TYPE(qs_energy_type), POINTER                      :: energy
     108             :       LOGICAL, INTENT(in)                                :: calculate_forces, just_energy
     109             : 
     110             :       CHARACTER(len=*), PARAMETER :: routineN = 'build_dftb_coulomb'
     111             : 
     112             :       INTEGER :: atom_i, atom_j, blk, ewald_type, handle, i, ia, iac, iatom, ic, icol, ikind, img, &
     113             :          irow, is, jatom, jkind, natom, natorb_a, natorb_b, nimg, nkind, nmat
     114       11918 :       INTEGER, ALLOCATABLE, DIMENSION(:)                 :: atom_of_kind, kind_of
     115             :       INTEGER, DIMENSION(3)                              :: cellind, periodic
     116       11918 :       INTEGER, DIMENSION(:, :, :), POINTER               :: cell_to_index
     117             :       LOGICAL                                            :: defined, do_ewald, do_gamma_stress, &
     118             :                                                             found, hb_sr_damp, use_virial
     119             :       REAL(KIND=dp)                                      :: alpha, ddr, deth, dgam, dr, drm, drp, &
     120             :                                                             fi, ga, gb, gmat, gmij, hb_para, zeff
     121       11918 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:)           :: xgamma, zeffk
     122             :       REAL(KIND=dp), DIMENSION(0:3)                      :: eta_a, eta_b
     123             :       REAL(KIND=dp), DIMENSION(3)                        :: fij, rij
     124       11918 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: dsblock, gmcharge, ksblock, pblock, &
     125       11918 :                                                             sblock
     126       11918 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: dsint
     127       11918 :       TYPE(atomic_kind_type), DIMENSION(:), POINTER      :: atomic_kind_set
     128             :       TYPE(atprop_type), POINTER                         :: atprop
     129             :       TYPE(cell_type), POINTER                           :: cell
     130             :       TYPE(dbcsr_iterator_type)                          :: iter
     131       11918 :       TYPE(dbcsr_p_type), DIMENSION(:, :), POINTER       :: matrix_p, matrix_s
     132             :       TYPE(dft_control_type), POINTER                    :: dft_control
     133             :       TYPE(distribution_1d_type), POINTER                :: local_particles
     134             :       TYPE(ewald_environment_type), POINTER              :: ewald_env
     135             :       TYPE(ewald_pw_type), POINTER                       :: ewald_pw
     136             :       TYPE(kpoint_type), POINTER                         :: kpoints
     137             :       TYPE(mp_para_env_type), POINTER                    :: para_env
     138             :       TYPE(neighbor_list_iterator_p_type), &
     139       11918 :          DIMENSION(:), POINTER                           :: nl_iterator
     140             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     141       11918 :          POINTER                                         :: n_list
     142       11918 :       TYPE(particle_type), DIMENSION(:), POINTER         :: particle_set
     143             :       TYPE(qs_dftb_atom_type), POINTER                   :: dftb_kind, dftb_kind_a, dftb_kind_b
     144             :       TYPE(qs_dftb_pairpot_type), DIMENSION(:, :), &
     145       11918 :          POINTER                                         :: dftb_potential
     146       11918 :       TYPE(qs_force_type), DIMENSION(:), POINTER         :: force
     147       11918 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     148       11918 :       TYPE(sap_int_type), DIMENSION(:), POINTER          :: sap_int
     149             :       TYPE(virial_type), POINTER                         :: virial
     150             : 
     151       11918 :       CALL timeset(routineN, handle)
     152             : 
     153       11918 :       NULLIFY (matrix_p, matrix_s, virial, atprop, dft_control)
     154             : 
     155       11918 :       use_virial = .FALSE.
     156             : 
     157       11918 :       IF (calculate_forces) THEN
     158             :          nmat = 4
     159             :       ELSE
     160       11302 :          nmat = 1
     161             :       END IF
     162             : 
     163       11918 :       CALL get_qs_env(qs_env, nkind=nkind, natom=natom)
     164       47672 :       ALLOCATE (gmcharge(natom, nmat))
     165      223608 :       gmcharge = 0._dp
     166             : 
     167             :       CALL get_qs_env(qs_env, &
     168             :                       particle_set=particle_set, &
     169             :                       cell=cell, &
     170             :                       virial=virial, &
     171             :                       atprop=atprop, &
     172             :                       dft_control=dft_control, &
     173             :                       atomic_kind_set=atomic_kind_set, &
     174             :                       qs_kind_set=qs_kind_set, &
     175       11918 :                       force=force, para_env=para_env)
     176             : 
     177       11918 :       IF (calculate_forces) THEN
     178        1126 :          use_virial = virial%pv_availability .AND. (.NOT. virial%pv_numer)
     179             :       END IF
     180             : 
     181       11918 :       NULLIFY (dftb_potential)
     182       11918 :       CALL get_qs_env(qs_env=qs_env, dftb_potential=dftb_potential)
     183       11918 :       NULLIFY (n_list)
     184       11918 :       CALL get_qs_env(qs_env=qs_env, sab_orb=n_list)
     185       11918 :       CALL neighbor_list_iterator_create(nl_iterator, n_list)
     186     2275516 :       DO WHILE (neighbor_list_iterate(nl_iterator) == 0)
     187             :          CALL get_iterator_info(nl_iterator, ikind=ikind, jkind=jkind, &
     188     2263598 :                                 iatom=iatom, jatom=jatom, r=rij, cell=cellind)
     189             : 
     190     2263598 :          CALL get_qs_kind(qs_kind_set(ikind), dftb_parameter=dftb_kind_a)
     191             :          CALL get_dftb_atom_param(dftb_kind_a, &
     192     2263598 :                                   defined=defined, eta=eta_a, natorb=natorb_a)
     193     2263598 :          IF (.NOT. defined .OR. natorb_a < 1) CYCLE
     194     2263598 :          CALL get_qs_kind(qs_kind_set(jkind), dftb_parameter=dftb_kind_b)
     195             :          CALL get_dftb_atom_param(dftb_kind_b, &
     196     2263598 :                                   defined=defined, eta=eta_b, natorb=natorb_b)
     197     2263598 :          IF (.NOT. defined .OR. natorb_b < 1) CYCLE
     198             : 
     199             :          ! gamma matrix
     200     2263598 :          hb_sr_damp = dft_control%qs_control%dftb_control%hb_sr_damp
     201     2263598 :          IF (hb_sr_damp) THEN
     202             :             ! short range correction enabled only when iatom XOR jatom are hydrogens
     203             :             hb_sr_damp = is_hydrogen(particle_set(iatom)%atomic_kind) .NEQV. &
     204      949716 :                          is_hydrogen(particle_set(jatom)%atomic_kind)
     205             :          END IF
     206      949716 :          IF (hb_sr_damp) THEN
     207      380582 :             hb_para = dft_control%qs_control%dftb_control%hb_sr_para
     208             :          ELSE
     209     1883016 :             hb_para = 0.0_dp
     210             :          END IF
     211     2263598 :          ga = eta_a(0)
     212     2263598 :          gb = eta_b(0)
     213     9054392 :          dr = SQRT(SUM(rij(:)**2))
     214     2263598 :          gmat = gamma_rab_sr(dr, ga, gb, hb_para)
     215     2263598 :          gmcharge(jatom, 1) = gmcharge(jatom, 1) + gmat*mcharge(iatom)
     216     2263598 :          IF (iatom /= jatom) THEN
     217     2123947 :             gmcharge(iatom, 1) = gmcharge(iatom, 1) + gmat*mcharge(jatom)
     218             :          END IF
     219     2275516 :          IF (calculate_forces .AND. (iatom /= jatom .OR. dr > 0.001_dp)) THEN
     220      253110 :             ddr = 0.1_dp*dftb_potential(ikind, jkind)%dgrd
     221      253110 :             drp = dr + ddr
     222      253110 :             drm = dr - ddr
     223      253110 :             dgam = 0.5_dp*(gamma_rab_sr(drp, ga, gb, hb_para) - gamma_rab_sr(drm, ga, gb, hb_para))/ddr
     224     1012440 :             DO i = 1, 3
     225      759330 :                gmcharge(jatom, i + 1) = gmcharge(jatom, i + 1) - dgam*mcharge(iatom)*rij(i)/dr
     226      759330 :                IF (dr > 0.001_dp) THEN
     227      759330 :                   gmcharge(iatom, i + 1) = gmcharge(iatom, i + 1) + dgam*mcharge(jatom)*rij(i)/dr
     228             :                END IF
     229     1012440 :                IF (use_virial) THEN
     230      507639 :                   fij(i) = -mcharge(iatom)*mcharge(jatom)*dgam*rij(i)/dr
     231             :                END IF
     232             :             END DO
     233      253110 :             IF (use_virial) THEN
     234      169213 :                fi = 1.0_dp
     235      169213 :                IF (iatom == jatom) fi = 0.5_dp
     236      169213 :                CALL virial_pair_force(virial%pv_virial, fi, fij, rij)
     237             :             END IF
     238             :          END IF
     239             :       END DO
     240       11918 :       CALL neighbor_list_iterator_release(nl_iterator)
     241             : 
     242       11918 :       IF (atprop%energy) THEN
     243         466 :          CALL get_qs_env(qs_env=qs_env, particle_set=particle_set)
     244         466 :          natom = SIZE(particle_set)
     245         466 :          CALL atprop_array_init(atprop%atecoul, natom)
     246             :       END IF
     247             : 
     248             :       ! 1/R contribution
     249       11918 :       do_ewald = dft_control%qs_control%dftb_control%do_ewald
     250       11918 :       IF (do_ewald) THEN
     251             :          ! Ewald sum
     252        6420 :          NULLIFY (ewald_env, ewald_pw)
     253             :          CALL get_qs_env(qs_env=qs_env, &
     254        6420 :                          ewald_env=ewald_env, ewald_pw=ewald_pw)
     255        6420 :          CALL get_cell(cell=cell, periodic=periodic, deth=deth)
     256        6420 :          CALL ewald_env_get(ewald_env, alpha=alpha, ewald_type=ewald_type)
     257        6420 :          CALL get_qs_env(qs_env=qs_env, sab_tbe=n_list)
     258        6420 :          CALL tb_ewald_overlap(gmcharge, mcharge, alpha, n_list, virial, use_virial)
     259           0 :          SELECT CASE (ewald_type)
     260             :          CASE DEFAULT
     261           0 :             CPABORT("Invalid Ewald type")
     262             :          CASE (do_ewald_none)
     263           0 :             CPABORT("Not allowed with DFTB")
     264             :          CASE (do_ewald_ewald)
     265           0 :             CPABORT("Standard Ewald not implemented in DFTB")
     266             :          CASE (do_ewald_pme)
     267           0 :             CPABORT("PME not implemented in DFTB")
     268             :          CASE (do_ewald_spme)
     269             :             CALL tb_spme_evaluate(ewald_env, ewald_pw, particle_set, cell, &
     270        6420 :                                   gmcharge, mcharge, calculate_forces, virial, use_virial)
     271             :          END SELECT
     272             :       ELSE
     273             :          ! direct sum
     274             :          CALL get_qs_env(qs_env=qs_env, &
     275        5498 :                          local_particles=local_particles)
     276       17846 :          DO ikind = 1, SIZE(local_particles%n_el)
     277       26764 :             DO ia = 1, local_particles%n_el(ikind)
     278        8918 :                iatom = local_particles%list(ikind)%array(ia)
     279       31531 :                DO jatom = 1, iatom - 1
     280       41060 :                   rij = particle_set(iatom)%r - particle_set(jatom)%r
     281       41060 :                   rij = pbc(rij, cell)
     282       41060 :                   dr = SQRT(SUM(rij(:)**2))
     283       10265 :                   gmcharge(iatom, 1) = gmcharge(iatom, 1) + mcharge(jatom)/dr
     284       10265 :                   gmcharge(jatom, 1) = gmcharge(jatom, 1) + mcharge(iatom)/dr
     285       20077 :                   DO i = 2, nmat
     286         894 :                      gmcharge(iatom, i) = gmcharge(iatom, i) + rij(i - 1)*mcharge(jatom)/dr**3
     287       11159 :                      gmcharge(jatom, i) = gmcharge(jatom, i) - rij(i - 1)*mcharge(iatom)/dr**3
     288             :                   END DO
     289             :                END DO
     290             :             END DO
     291             :          END DO
     292        5498 :          CPASSERT(.NOT. use_virial)
     293             :       END IF
     294             : 
     295      322482 :       CALL para_env%sum(gmcharge(:, 1))
     296             : 
     297       11918 :       IF (do_ewald) THEN
     298             :          ! add self charge interaction and background charge contribution
     299      143866 :          gmcharge(:, 1) = gmcharge(:, 1) - 2._dp*alpha*oorootpi*mcharge(:)
     300        7242 :          IF (ANY(periodic(:) == 1)) THEN
     301      142502 :             gmcharge(:, 1) = gmcharge(:, 1) - pi/alpha**2/deth
     302             :          END IF
     303             :       END IF
     304             : 
     305      167200 :       energy%hartree = energy%hartree + 0.5_dp*SUM(mcharge(:)*gmcharge(:, 1))
     306       11918 :       IF (atprop%energy) THEN
     307             :          CALL get_qs_env(qs_env=qs_env, &
     308         466 :                          local_particles=local_particles)
     309        1526 :          DO ikind = 1, SIZE(local_particles%n_el)
     310        1060 :             CALL get_qs_kind(qs_kind_set(ikind), dftb_parameter=dftb_kind)
     311        1060 :             CALL get_dftb_atom_param(dftb_kind, zeff=zeff)
     312       18006 :             DO ia = 1, local_particles%n_el(ikind)
     313       16480 :                iatom = local_particles%list(ikind)%array(ia)
     314             :                atprop%atecoul(iatom) = atprop%atecoul(iatom) + &
     315       17540 :                                        0.5_dp*zeff*gmcharge(iatom, 1)
     316             :             END DO
     317             :          END DO
     318             :       END IF
     319             : 
     320       11918 :       IF (calculate_forces) THEN
     321             :          CALL get_atomic_kind_set(atomic_kind_set=atomic_kind_set, &
     322             :                                   kind_of=kind_of, &
     323         616 :                                   atom_of_kind=atom_of_kind)
     324             : 
     325       14830 :          gmcharge(:, 2) = gmcharge(:, 2)*mcharge(:)
     326       14830 :          gmcharge(:, 3) = gmcharge(:, 3)*mcharge(:)
     327       14830 :          gmcharge(:, 4) = gmcharge(:, 4)*mcharge(:)
     328       14830 :          DO iatom = 1, natom
     329       14214 :             ikind = kind_of(iatom)
     330       14214 :             atom_i = atom_of_kind(iatom)
     331       14214 :             force(ikind)%rho_elec(1, atom_i) = force(ikind)%rho_elec(1, atom_i) - gmcharge(iatom, 2)
     332       14214 :             force(ikind)%rho_elec(2, atom_i) = force(ikind)%rho_elec(2, atom_i) - gmcharge(iatom, 3)
     333       14830 :             force(ikind)%rho_elec(3, atom_i) = force(ikind)%rho_elec(3, atom_i) - gmcharge(iatom, 4)
     334             :          END DO
     335             :       END IF
     336             : 
     337       11918 :       do_gamma_stress = .FALSE.
     338       11918 :       IF (.NOT. just_energy .AND. use_virial) THEN
     339         106 :          IF (dft_control%nimages == 1) do_gamma_stress = .TRUE.
     340             :       END IF
     341             : 
     342       11918 :       IF (.NOT. just_energy) THEN
     343       11714 :          CALL get_qs_env(qs_env=qs_env, matrix_s_kp=matrix_s)
     344       11714 :          CALL qs_rho_get(rho, rho_ao_kp=matrix_p)
     345             : 
     346       11714 :          nimg = dft_control%nimages
     347       11714 :          NULLIFY (cell_to_index)
     348       11714 :          IF (nimg > 1) THEN
     349        1988 :             NULLIFY (kpoints)
     350        1988 :             CALL get_qs_env(qs_env=qs_env, kpoints=kpoints)
     351        1988 :             CALL get_kpoint_info(kpoint=kpoints, cell_to_index=cell_to_index)
     352             :          END IF
     353             : 
     354       11714 :          IF (calculate_forces .AND. SIZE(matrix_p, 1) == 2) THEN
     355         328 :             DO img = 1, nimg
     356             :                CALL dbcsr_add(matrix_p(1, img)%matrix, matrix_p(2, img)%matrix, &
     357         328 :                               alpha_scalar=1.0_dp, beta_scalar=1.0_dp)
     358             :             END DO
     359             :          END IF
     360             : 
     361       11714 :          NULLIFY (sap_int)
     362       11714 :          IF (do_gamma_stress) THEN
     363             :             ! derivative overlap integral (non collapsed)
     364          88 :             CALL dftb_dsint_list(qs_env, sap_int)
     365             :          END IF
     366             : 
     367       11714 :          IF (nimg == 1) THEN
     368             :             ! no k-points; all matrices have been transformed to periodic bsf
     369        9726 :             CALL dbcsr_iterator_start(iter, matrix_s(1, 1)%matrix)
     370     1674188 :             DO WHILE (dbcsr_iterator_blocks_left(iter))
     371     1664462 :                CALL dbcsr_iterator_next_block(iter, irow, icol, sblock, blk)
     372     1664462 :                gmij = 0.5_dp*(gmcharge(irow, 1) + gmcharge(icol, 1))
     373     3330194 :                DO is = 1, SIZE(ks_matrix, 1)
     374     1665732 :                   NULLIFY (ksblock)
     375             :                   CALL dbcsr_get_block_p(matrix=ks_matrix(is, 1)%matrix, &
     376     1665732 :                                          row=irow, col=icol, block=ksblock, found=found)
     377     1665732 :                   CPASSERT(found)
     378    25083404 :                   ksblock = ksblock - gmij*sblock
     379             :                END DO
     380     1674188 :                IF (calculate_forces) THEN
     381      230484 :                   ikind = kind_of(irow)
     382      230484 :                   atom_i = atom_of_kind(irow)
     383      230484 :                   jkind = kind_of(icol)
     384      230484 :                   atom_j = atom_of_kind(icol)
     385      230484 :                   NULLIFY (pblock)
     386             :                   CALL dbcsr_get_block_p(matrix=matrix_p(1, 1)%matrix, &
     387      230484 :                                          row=irow, col=icol, block=pblock, found=found)
     388      230484 :                   CPASSERT(found)
     389      921936 :                   DO i = 1, 3
     390      691452 :                      NULLIFY (dsblock)
     391             :                      CALL dbcsr_get_block_p(matrix=matrix_s(1 + i, 1)%matrix, &
     392      691452 :                                             row=irow, col=icol, block=dsblock, found=found)
     393      691452 :                      CPASSERT(found)
     394     4854195 :                      fi = -2.0_dp*gmij*SUM(pblock*dsblock)
     395      691452 :                      force(ikind)%rho_elec(i, atom_i) = force(ikind)%rho_elec(i, atom_i) + fi
     396      691452 :                      force(jkind)%rho_elec(i, atom_j) = force(jkind)%rho_elec(i, atom_j) - fi
     397     1613388 :                      fij(i) = fi
     398             :                   END DO
     399             :                END IF
     400             :             END DO
     401        9726 :             CALL dbcsr_iterator_stop(iter)
     402             :             !
     403        9726 :             IF (do_gamma_stress) THEN
     404         264 :                DO ikind = 1, nkind
     405         616 :                   DO jkind = 1, nkind
     406         352 :                      iac = ikind + nkind*(jkind - 1)
     407         352 :                      IF (.NOT. ASSOCIATED(sap_int(iac)%alist)) CYCLE
     408        8596 :                      DO ia = 1, sap_int(iac)%nalist
     409        8076 :                         IF (.NOT. ASSOCIATED(sap_int(iac)%alist(ia)%clist)) CYCLE
     410        8074 :                         iatom = sap_int(iac)%alist(ia)%aatom
     411      177568 :                         DO ic = 1, sap_int(iac)%alist(ia)%nclist
     412      169142 :                            jatom = sap_int(iac)%alist(ia)%clist(ic)%catom
     413      676568 :                            rij = sap_int(iac)%alist(ia)%clist(ic)%rac
     414      676568 :                            dr = SQRT(SUM(rij(:)**2))
     415      177218 :                            IF (dr > 1.e-6_dp) THEN
     416      165104 :                               dsint => sap_int(iac)%alist(ia)%clist(ic)%acint
     417      165104 :                               gmij = 0.5_dp*(gmcharge(iatom, 1) + gmcharge(jatom, 1))
     418      165104 :                               icol = MAX(iatom, jatom)
     419      165104 :                               irow = MIN(iatom, jatom)
     420      165104 :                               NULLIFY (pblock)
     421             :                               CALL dbcsr_get_block_p(matrix=matrix_p(1, 1)%matrix, &
     422      165104 :                                                      row=irow, col=icol, block=pblock, found=found)
     423      165104 :                               CPASSERT(found)
     424      660416 :                               DO i = 1, 3
     425      660416 :                                  IF (irow == iatom) THEN
     426     1721034 :                                     fij(i) = -2.0_dp*gmij*SUM(pblock*dsint(:, :, i))
     427             :                                  ELSE
     428     1730961 :                                     fij(i) = -2.0_dp*gmij*SUM(TRANSPOSE(pblock)*dsint(:, :, i))
     429             :                                  END IF
     430             :                               END DO
     431      165104 :                               fi = 1.0_dp
     432      165104 :                               IF (iatom == jatom) fi = 0.5_dp
     433      165104 :                               CALL virial_pair_force(virial%pv_virial, fi, fij, rij)
     434             :                            END IF
     435             :                         END DO
     436             :                      END DO
     437             :                   END DO
     438             :                END DO
     439             :             END IF
     440             :          ELSE
     441        1988 :             NULLIFY (n_list)
     442        1988 :             CALL get_qs_env(qs_env=qs_env, sab_orb=n_list)
     443        1988 :             CALL neighbor_list_iterator_create(nl_iterator, n_list)
     444      245594 :             DO WHILE (neighbor_list_iterate(nl_iterator) == 0)
     445             :                CALL get_iterator_info(nl_iterator, ikind=ikind, jkind=jkind, &
     446      243606 :                                       iatom=iatom, jatom=jatom, r=rij, cell=cellind)
     447             : 
     448      243606 :                icol = MAX(iatom, jatom)
     449      243606 :                irow = MIN(iatom, jatom)
     450      243606 :                ic = cell_to_index(cellind(1), cellind(2), cellind(3))
     451      243606 :                CPASSERT(ic > 0)
     452             : 
     453      243606 :                gmij = 0.5_dp*(gmcharge(iatom, 1) + gmcharge(jatom, 1))
     454             : 
     455      243606 :                NULLIFY (sblock)
     456             :                CALL dbcsr_get_block_p(matrix=matrix_s(1, ic)%matrix, &
     457      243606 :                                       row=irow, col=icol, block=sblock, found=found)
     458      243606 :                CPASSERT(found)
     459      487212 :                DO is = 1, SIZE(ks_matrix, 1)
     460      243606 :                   NULLIFY (ksblock)
     461             :                   CALL dbcsr_get_block_p(matrix=ks_matrix(is, ic)%matrix, &
     462      243606 :                                          row=irow, col=icol, block=ksblock, found=found)
     463      243606 :                   CPASSERT(found)
     464     4849788 :                   ksblock = ksblock - gmij*sblock
     465             :                END DO
     466             : 
     467      245594 :                IF (calculate_forces) THEN
     468        4182 :                   ikind = kind_of(iatom)
     469        4182 :                   atom_i = atom_of_kind(iatom)
     470        4182 :                   jkind = kind_of(jatom)
     471        4182 :                   atom_j = atom_of_kind(jatom)
     472        4182 :                   IF (irow == jatom) gmij = -gmij
     473        4182 :                   NULLIFY (pblock)
     474             :                   CALL dbcsr_get_block_p(matrix=matrix_p(1, ic)%matrix, &
     475        4182 :                                          row=irow, col=icol, block=pblock, found=found)
     476        4182 :                   CPASSERT(found)
     477       16728 :                   DO i = 1, 3
     478       12546 :                      NULLIFY (dsblock)
     479             :                      CALL dbcsr_get_block_p(matrix=matrix_s(1 + i, ic)%matrix, &
     480       12546 :                                             row=irow, col=icol, block=dsblock, found=found)
     481       12546 :                      CPASSERT(found)
     482      227889 :                      fi = -2.0_dp*gmij*SUM(pblock*dsblock)
     483       12546 :                      force(ikind)%rho_elec(i, atom_i) = force(ikind)%rho_elec(i, atom_i) + fi
     484       12546 :                      force(jkind)%rho_elec(i, atom_j) = force(jkind)%rho_elec(i, atom_j) - fi
     485       29274 :                      fij(i) = fi
     486             :                   END DO
     487        4182 :                   IF (use_virial) THEN
     488        4182 :                      fi = 1.0_dp
     489        4182 :                      IF (iatom == jatom) fi = 0.5_dp
     490        4182 :                      CALL virial_pair_force(virial%pv_virial, fi, fij, rij)
     491             :                   END IF
     492             :                END IF
     493             :             END DO
     494        1988 :             CALL neighbor_list_iterator_release(nl_iterator)
     495             :          END IF
     496             : 
     497       11714 :          IF (calculate_forces .AND. SIZE(matrix_p, 1) == 2) THEN
     498         328 :             DO img = 1, nimg
     499             :                CALL dbcsr_add(matrix_p(1, img)%matrix, matrix_p(2, img)%matrix, &
     500         328 :                               alpha_scalar=1.0_dp, beta_scalar=-1.0_dp)
     501             :             END DO
     502             :          END IF
     503             :       END IF
     504             : 
     505       11918 :       IF (dft_control%qs_control%dftb_control%dftb3_diagonal) THEN
     506        2818 :          CALL get_qs_env(qs_env, nkind=nkind)
     507       11272 :          ALLOCATE (zeffk(nkind), xgamma(nkind))
     508        8354 :          DO ikind = 1, nkind
     509        5536 :             CALL get_qs_kind(qs_kind_set(ikind), dftb_parameter=dftb_kind)
     510        8354 :             CALL get_dftb_atom_param(dftb_kind, dudq=xgamma(ikind), zeff=zeffk(ikind))
     511             :          END DO
     512             :          ! Diagonal 3rd order correction (DFTB3)
     513             :          CALL build_dftb3_diagonal(qs_env, ks_matrix, rho, mcharge, energy, xgamma, zeffk, &
     514        2818 :                                    sap_int, calculate_forces, just_energy)
     515        2818 :          DEALLOCATE (zeffk, xgamma)
     516             :       END IF
     517             : 
     518             :       ! QMMM
     519       11918 :       IF (qs_env%qmmm .AND. qs_env%qmmm_periodic) THEN
     520             :          CALL build_tb_coulomb_qmqm(qs_env, ks_matrix, rho, mcharge, energy, &
     521        1626 :                                     calculate_forces, just_energy)
     522             :       END IF
     523             : 
     524       11918 :       IF (do_gamma_stress) THEN
     525          88 :          CALL release_sap_int(sap_int)
     526             :       END IF
     527             : 
     528       11918 :       DEALLOCATE (gmcharge)
     529             : 
     530       11918 :       CALL timestop(handle)
     531             : 
     532       23836 :    END SUBROUTINE build_dftb_coulomb
     533             : 
     534             : ! **************************************************************************************************
     535             : !> \brief  Computes the short-range gamma parameter from exact Coulomb
     536             : !>         interaction of normalized exp(-a*r) charge distribution - 1/r
     537             : !> \param r ...
     538             : !> \param ga ...
     539             : !> \param gb ...
     540             : !> \param hb_para ...
     541             : !> \return ...
     542             : !> \par Literature
     543             : !>         Elstner et al, PRB 58 (1998) 7260
     544             : !> \par History
     545             : !>      10.2008 Axel Kohlmeyer - adding sr_damp
     546             : !>      08.2014 JGH - adding flexible exponent for damping
     547             : !> \version 1.1
     548             : ! **************************************************************************************************
     549     2799914 :    FUNCTION gamma_rab_sr(r, ga, gb, hb_para) RESULT(gamma)
     550             :       REAL(dp), INTENT(in)                               :: r, ga, gb, hb_para
     551             :       REAL(dp)                                           :: gamma
     552             : 
     553             :       REAL(dp)                                           :: a, b, fac, g_sum
     554             : 
     555     2799914 :       gamma = 0.0_dp
     556     2799914 :       a = 3.2_dp*ga ! 3.2 = 16/5 in Eq. 18 and ff.
     557     2799914 :       b = 3.2_dp*gb
     558     2799914 :       g_sum = a + b
     559     2799914 :       IF (g_sum < tol_gamma) RETURN ! hardness screening
     560     2799914 :       IF (r < rtiny) THEN ! This is for short distances but non-onsite terms
     561             :          ! This gives also correct diagonal elements (a=b, r=0)
     562       77641 :          gamma = 0.5_dp*(a*b/g_sum + (a*b)**2/g_sum**3)
     563       77641 :          RETURN
     564             :       END IF
     565             :       !
     566             :       ! distinguish two cases: Gamma's are very close, e.g. for the same atom type,
     567             :       !                        and Gamma's are different
     568             :       !
     569     2722273 :       IF (ABS(a - b) < rtiny) THEN
     570     1536622 :          fac = 1.6_dp*r*a*b/g_sum*(1.0_dp + a*b/g_sum**2)
     571     1536622 :          gamma = -(48.0_dp + 33._dp*fac + (9.0_dp + fac)*fac**2)*EXP(-fac)/(48._dp*r)
     572             :       ELSE
     573             :          gamma = -EXP(-a*r)*(0.5_dp*a*b**4/(a**2 - b**2)**2 - &
     574             :                              (b**6 - 3._dp*a**2*b**4)/(r*(a**2 - b**2)**3)) - & ! a-> b
     575             :                  EXP(-b*r)*(0.5_dp*b*a**4/(b**2 - a**2)**2 - &
     576     1185651 :                             (a**6 - 3._dp*b**2*a**4)/(r*(b**2 - a**2)**3)) ! b-> a
     577             :       END IF
     578             :       !
     579             :       ! damping function for better short range hydrogen bonds.
     580             :       ! functional form from Hu H. et al., J. Phys. Chem. A 2007, 111, 5685-5691
     581             :       ! according to Elstner M, Theor. Chem. Acc. 2006, 116, 316-325,
     582             :       ! this should only be applied to a-b pairs involving hydrogen.
     583     2722273 :       IF (hb_para > 0.0_dp) THEN
     584      438246 :          gamma = gamma*EXP(-(0.5_dp*(ga + gb))**hb_para*r*r)
     585             :       END IF
     586             :    END FUNCTION gamma_rab_sr
     587             : 
     588             : ! **************************************************************************************************
     589             : !> \brief ...
     590             : !> \param qs_env ...
     591             : !> \param sap_int ...
     592             : ! **************************************************************************************************
     593          88 :    SUBROUTINE dftb_dsint_list(qs_env, sap_int)
     594             : 
     595             :       TYPE(qs_environment_type), POINTER                 :: qs_env
     596             :       TYPE(sap_int_type), DIMENSION(:), POINTER          :: sap_int
     597             : 
     598             :       CHARACTER(LEN=*), PARAMETER                        :: routineN = 'dftb_dsint_list'
     599             : 
     600             :       INTEGER :: handle, i, iac, iatom, ikind, ilist, jatom, jkind, jneighbor, llm, lmaxi, lmaxj, &
     601             :          n1, n2, natorb_a, natorb_b, ngrd, ngrdcut, nkind, nlist, nneighbor
     602             :       INTEGER, DIMENSION(3)                              :: cell
     603             :       LOGICAL                                            :: defined
     604             :       REAL(KIND=dp)                                      :: ddr, dgrd, dr
     605             :       REAL(KIND=dp), DIMENSION(3)                        :: drij, rij
     606          88 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: dsblock, dsblockm, smatij, smatji
     607             :       TYPE(clist_type), POINTER                          :: clist
     608             :       TYPE(dft_control_type), POINTER                    :: dft_control
     609             :       TYPE(dftb_control_type), POINTER                   :: dftb_control
     610             :       TYPE(neighbor_list_iterator_p_type), &
     611          88 :          DIMENSION(:), POINTER                           :: nl_iterator
     612             :       TYPE(neighbor_list_set_p_type), DIMENSION(:), &
     613          88 :          POINTER                                         :: sab_orb
     614             :       TYPE(qs_dftb_atom_type), POINTER                   :: dftb_kind_a, dftb_kind_b
     615             :       TYPE(qs_dftb_pairpot_type), DIMENSION(:, :), &
     616          88 :          POINTER                                         :: dftb_potential
     617             :       TYPE(qs_dftb_pairpot_type), POINTER                :: dftb_param_ij, dftb_param_ji
     618          88 :       TYPE(qs_kind_type), DIMENSION(:), POINTER          :: qs_kind_set
     619             : 
     620          88 :       CALL timeset(routineN, handle)
     621             : 
     622          88 :       CALL get_qs_env(qs_env=qs_env, nkind=nkind)
     623          88 :       CPASSERT(.NOT. ASSOCIATED(sap_int))
     624         616 :       ALLOCATE (sap_int(nkind*nkind))
     625         440 :       DO i = 1, nkind*nkind
     626         352 :          NULLIFY (sap_int(i)%alist, sap_int(i)%asort, sap_int(i)%aindex)
     627         440 :          sap_int(i)%nalist = 0
     628             :       END DO
     629             : 
     630             :       CALL get_qs_env(qs_env=qs_env, &
     631             :                       qs_kind_set=qs_kind_set, &
     632             :                       dft_control=dft_control, &
     633          88 :                       sab_orb=sab_orb)
     634             : 
     635          88 :       dftb_control => dft_control%qs_control%dftb_control
     636             : 
     637          88 :       NULLIFY (dftb_potential)
     638             :       CALL get_qs_env(qs_env=qs_env, &
     639          88 :                       dftb_potential=dftb_potential)
     640             : 
     641             :       ! loop over all atom pairs with a non-zero overlap (sab_orb)
     642          88 :       CALL neighbor_list_iterator_create(nl_iterator, sab_orb)
     643      169230 :       DO WHILE (neighbor_list_iterate(nl_iterator) == 0)
     644             :          CALL get_iterator_info(nl_iterator, ikind=ikind, jkind=jkind, iatom=iatom, &
     645             :                                 jatom=jatom, nlist=nlist, ilist=ilist, nnode=nneighbor, &
     646      169142 :                                 inode=jneighbor, cell=cell, r=rij)
     647      169142 :          iac = ikind + nkind*(jkind - 1)
     648             :          !
     649      169142 :          CALL get_qs_kind(qs_kind_set(ikind), dftb_parameter=dftb_kind_a)
     650             :          CALL get_dftb_atom_param(dftb_kind_a, &
     651      169142 :                                   defined=defined, lmax=lmaxi, natorb=natorb_a)
     652      169142 :          IF (.NOT. defined .OR. natorb_a < 1) CYCLE
     653      169142 :          CALL get_qs_kind(qs_kind_set(jkind), dftb_parameter=dftb_kind_b)
     654             :          CALL get_dftb_atom_param(dftb_kind_b, &
     655      169142 :                                   defined=defined, lmax=lmaxj, natorb=natorb_b)
     656      169142 :          IF (.NOT. defined .OR. natorb_b < 1) CYCLE
     657             : 
     658      676568 :          dr = SQRT(SUM(rij(:)**2))
     659             : 
     660             :          ! integral list
     661      169142 :          IF (.NOT. ASSOCIATED(sap_int(iac)%alist)) THEN
     662         344 :             sap_int(iac)%a_kind = ikind
     663         344 :             sap_int(iac)%p_kind = jkind
     664         344 :             sap_int(iac)%nalist = nlist
     665        9108 :             ALLOCATE (sap_int(iac)%alist(nlist))
     666        8420 :             DO i = 1, nlist
     667        8076 :                NULLIFY (sap_int(iac)%alist(i)%clist)
     668        8076 :                sap_int(iac)%alist(i)%aatom = 0
     669        8420 :                sap_int(iac)%alist(i)%nclist = 0
     670             :             END DO
     671             :          END IF
     672      169142 :          IF (.NOT. ASSOCIATED(sap_int(iac)%alist(ilist)%clist)) THEN
     673        8074 :             sap_int(iac)%alist(ilist)%aatom = iatom
     674        8074 :             sap_int(iac)%alist(ilist)%nclist = nneighbor
     675      241808 :             ALLOCATE (sap_int(iac)%alist(ilist)%clist(nneighbor))
     676      177216 :             DO i = 1, nneighbor
     677      177216 :                sap_int(iac)%alist(ilist)%clist(i)%catom = 0
     678             :             END DO
     679             :          END IF
     680      169142 :          clist => sap_int(iac)%alist(ilist)%clist(jneighbor)
     681      169142 :          clist%catom = jatom
     682      676568 :          clist%cell = cell
     683      676568 :          clist%rac = rij
     684      845710 :          ALLOCATE (clist%acint(natorb_a, natorb_b, 3))
     685      169142 :          NULLIFY (clist%achint)
     686     3730163 :          clist%acint = 0._dp
     687      169142 :          clist%nsgf_cnt = 0
     688      169142 :          NULLIFY (clist%sgf_list)
     689             : 
     690             :          ! retrieve information on S matrix
     691      169142 :          dftb_param_ij => dftb_potential(ikind, jkind)
     692      169142 :          dftb_param_ji => dftb_potential(jkind, ikind)
     693             :          ! assume table size and type is symmetric
     694      169142 :          ngrd = dftb_param_ij%ngrd
     695      169142 :          ngrdcut = dftb_param_ij%ngrdcut
     696      169142 :          dgrd = dftb_param_ij%dgrd
     697      169142 :          ddr = dgrd*0.1_dp
     698      169142 :          CPASSERT(dftb_param_ij%llm == dftb_param_ji%llm)
     699      169142 :          llm = dftb_param_ij%llm
     700      169142 :          smatij => dftb_param_ij%smat
     701      169142 :          smatji => dftb_param_ji%smat
     702             : 
     703      507514 :          IF (NINT(dr/dgrd) <= ngrdcut) THEN
     704      168768 :             IF (iatom == jatom .AND. dr < 0.001_dp) THEN
     705             :                ! diagonal block
     706             :             ELSE
     707             :                ! off-diagonal block
     708      164730 :                n1 = natorb_a
     709      164730 :                n2 = natorb_b
     710      988380 :                ALLOCATE (dsblock(n1, n2), dsblockm(n1, n2))
     711      658920 :                DO i = 1, 3
     712     3443355 :                   dsblock = 0._dp
     713     3443355 :                   dsblockm = 0.0_dp
     714      494190 :                   drij = rij
     715             : 
     716      494190 :                   drij(i) = rij(i) - ddr
     717             :                   CALL compute_block_sk(dsblockm, smatij, smatji, drij, ngrd, ngrdcut, dgrd, &
     718      494190 :                                         llm, lmaxi, lmaxj, iatom, iatom)
     719             : 
     720      494190 :                   drij(i) = rij(i) + ddr
     721             :                   CALL compute_block_sk(dsblock, smatij, smatji, drij, ngrd, ngrdcut, dgrd, &
     722      494190 :                                         llm, lmaxi, lmaxj, iatom, iatom)
     723             : 
     724     6392520 :                   dsblock = dsblock - dsblockm
     725     3443355 :                   dsblock = dsblock/(2.0_dp*ddr)
     726             : 
     727     6557250 :                   clist%acint(1:n1, 1:n2, i) = -dsblock(1:n1, 1:n2)
     728             :                END DO
     729      164730 :                DEALLOCATE (dsblock, dsblockm)
     730             :             END IF
     731             :          END IF
     732             : 
     733             :       END DO
     734          88 :       CALL neighbor_list_iterator_release(nl_iterator)
     735             : 
     736          88 :       CALL timestop(handle)
     737             : 
     738          88 :    END SUBROUTINE dftb_dsint_list
     739             : 
     740             : END MODULE qs_dftb_coulomb
     741             : 

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