LCOV - code coverage report
Current view: top level - src - atom_kind_orbitals.F (source / functions) Hit Total Coverage
Test: CP2K Regtests (git:2fce0f8) Lines: 614 666 92.2 %
Date: 2024-12-21 06:28:57 Functions: 6 6 100.0 %

          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 calculate the orbitals for a given atomic kind type
      10             : ! **************************************************************************************************
      11             : MODULE atom_kind_orbitals
      12             :    USE ai_onecenter,                    ONLY: sg_erfc
      13             :    USE atom_electronic_structure,       ONLY: calculate_atom
      14             :    USE atom_fit,                        ONLY: atom_fit_density
      15             :    USE atom_operators,                  ONLY: atom_int_release,&
      16             :                                               atom_int_setup,&
      17             :                                               atom_ppint_release,&
      18             :                                               atom_ppint_setup,&
      19             :                                               atom_relint_release,&
      20             :                                               atom_relint_setup
      21             :    USE atom_set_basis,                  ONLY: set_kind_basis_atomic
      22             :    USE atom_types,                      ONLY: &
      23             :         CGTO_BASIS, Clementi_geobas, GTO_BASIS, atom_basis_type, atom_ecppot_type, &
      24             :         atom_gthpot_type, atom_integrals, atom_orbitals, atom_potential_type, atom_sgppot_type, &
      25             :         atom_type, create_atom_orbs, create_atom_type, lmat, release_atom_basis, &
      26             :         release_atom_potential, release_atom_type, set_atom
      27             :    USE atom_utils,                      ONLY: atom_density,&
      28             :                                               get_maxl_occ,&
      29             :                                               get_maxn_occ
      30             :    USE atomic_kind_types,               ONLY: atomic_kind_type,&
      31             :                                               get_atomic_kind
      32             :    USE basis_set_types,                 ONLY: get_gto_basis_set,&
      33             :                                               gto_basis_set_type
      34             :    USE external_potential_types,        ONLY: all_potential_type,&
      35             :                                               get_potential,&
      36             :                                               gth_potential_type,&
      37             :                                               sgp_potential_type
      38             :    USE input_constants,                 ONLY: &
      39             :         barrier_conf, do_analytic, do_dkh0_atom, do_dkh1_atom, do_dkh2_atom, do_dkh3_atom, &
      40             :         do_gapw_log, do_nonrel_atom, do_numeric, do_rks_atom, do_sczoramp_atom, do_uks_atom, &
      41             :         do_zoramp_atom, ecp_pseudo, gth_pseudo, no_pseudo, poly_conf, rel_dkh, rel_none, &
      42             :         rel_sczora_mp, rel_zora, rel_zora_full, rel_zora_mp, sgp_pseudo
      43             :    USE input_section_types,             ONLY: section_vals_type
      44             :    USE kinds,                           ONLY: dp
      45             :    USE mathconstants,                   ONLY: dfac,&
      46             :                                               pi
      47             :    USE periodic_table,                  ONLY: ptable
      48             :    USE physcon,                         ONLY: bohr
      49             :    USE qs_grid_atom,                    ONLY: allocate_grid_atom,&
      50             :                                               create_grid_atom,&
      51             :                                               grid_atom_type
      52             :    USE qs_kind_types,                   ONLY: get_qs_kind,&
      53             :                                               init_atom_electronic_state,&
      54             :                                               qs_kind_type,&
      55             :                                               set_pseudo_state
      56             :    USE rel_control_types,               ONLY: rel_control_type
      57             : #include "./base/base_uses.f90"
      58             : 
      59             :    IMPLICIT NONE
      60             : 
      61             :    PRIVATE
      62             : 
      63             :    CHARACTER(len=*), PARAMETER, PRIVATE :: moduleN = 'atom_kind_orbitals'
      64             : 
      65             :    PUBLIC :: calculate_atomic_orbitals, calculate_atomic_density, &
      66             :              calculate_atomic_relkin, gth_potential_conversion
      67             : 
      68             : ! **************************************************************************************************
      69             : 
      70             : CONTAINS
      71             : 
      72             : ! **************************************************************************************************
      73             : !> \brief ...
      74             : !> \param atomic_kind ...
      75             : !> \param qs_kind ...
      76             : !> \param agrid ...
      77             : !> \param iunit ...
      78             : !> \param pmat ...
      79             : !> \param fmat ...
      80             : !> \param density ...
      81             : !> \param wavefunction ...
      82             : !> \param wfninfo ...
      83             : !> \param confine ...
      84             : !> \param xc_section ...
      85             : !> \param nocc ...
      86             : ! **************************************************************************************************
      87       25464 :    SUBROUTINE calculate_atomic_orbitals(atomic_kind, qs_kind, agrid, iunit, pmat, fmat, &
      88        8488 :                                         density, wavefunction, wfninfo, confine, xc_section, nocc)
      89             :       TYPE(atomic_kind_type), INTENT(IN)                 :: atomic_kind
      90             :       TYPE(qs_kind_type), INTENT(IN)                     :: qs_kind
      91             :       TYPE(grid_atom_type), OPTIONAL                     :: agrid
      92             :       INTEGER, INTENT(IN), OPTIONAL                      :: iunit
      93             :       REAL(KIND=dp), DIMENSION(:, :, :), OPTIONAL, &
      94             :          POINTER                                         :: pmat, fmat
      95             :       REAL(KIND=dp), DIMENSION(:), OPTIONAL, POINTER     :: density
      96             :       REAL(KIND=dp), DIMENSION(:, :), OPTIONAL, POINTER  :: wavefunction, wfninfo
      97             :       LOGICAL, INTENT(IN), OPTIONAL                      :: confine
      98             :       TYPE(section_vals_type), OPTIONAL, POINTER         :: xc_section
      99             :       INTEGER, DIMENSION(:), OPTIONAL                    :: nocc
     100             : 
     101             :       INTEGER                                            :: i, ii, j, k, k1, k2, l, ll, m, mb, mo, &
     102             :                                                             nr, nset, nsgf, z
     103             :       INTEGER, DIMENSION(0:lmat)                         :: nbb
     104             :       INTEGER, DIMENSION(0:lmat, 10)                     :: ncalc, ncore, nelem
     105             :       INTEGER, DIMENSION(0:lmat, 100)                    :: set_index, shell_index
     106        8488 :       INTEGER, DIMENSION(:), POINTER                     :: nshell
     107        8488 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgf, ls
     108             :       LOGICAL                                            :: ecp_semi_local, ghost, has_pp, uks
     109             :       REAL(KIND=dp)                                      :: ok, scal, zeff
     110             :       REAL(KIND=dp), DIMENSION(0:lmat, 10, 2)            :: edelta
     111             :       TYPE(all_potential_type), POINTER                  :: all_potential
     112             :       TYPE(atom_basis_type), POINTER                     :: basis
     113             :       TYPE(atom_integrals), POINTER                      :: integrals
     114             :       TYPE(atom_orbitals), POINTER                       :: orbitals
     115             :       TYPE(atom_potential_type), POINTER                 :: potential
     116             :       TYPE(atom_type), POINTER                           :: atom
     117             :       TYPE(gth_potential_type), POINTER                  :: gth_potential
     118             :       TYPE(gto_basis_set_type), POINTER                  :: orb_basis_set
     119             :       TYPE(sgp_potential_type), POINTER                  :: sgp_potential
     120             : 
     121        8488 :       NULLIFY (atom)
     122        8488 :       CALL create_atom_type(atom)
     123             : 
     124        8488 :       IF (PRESENT(xc_section)) THEN
     125           0 :          atom%xc_section => xc_section
     126             :       ELSE
     127        8488 :          NULLIFY (atom%xc_section)
     128             :       END IF
     129             : 
     130        8488 :       CALL get_atomic_kind(atomic_kind, z=z)
     131        8488 :       NULLIFY (all_potential, gth_potential, sgp_potential, orb_basis_set)
     132             :       CALL get_qs_kind(qs_kind, zeff=zeff, &
     133             :                        basis_set=orb_basis_set, &
     134             :                        ghost=ghost, &
     135             :                        all_potential=all_potential, &
     136             :                        gth_potential=gth_potential, &
     137        8488 :                        sgp_potential=sgp_potential)
     138             : 
     139        8488 :       has_pp = ASSOCIATED(gth_potential) .OR. ASSOCIATED(sgp_potential)
     140             : 
     141        8488 :       atom%z = z
     142             :       CALL set_atom(atom, &
     143             :                     pp_calc=has_pp, &
     144             :                     do_zmp=.FALSE., &
     145             :                     doread=.FALSE., &
     146             :                     read_vxc=.FALSE., &
     147             :                     relativistic=do_nonrel_atom, &
     148             :                     coulomb_integral_type=do_numeric, &
     149        8488 :                     exchange_integral_type=do_numeric)
     150             : 
     151    46386920 :       ALLOCATE (potential, integrals)
     152             : 
     153        8488 :       IF (PRESENT(confine)) THEN
     154           0 :          potential%confinement = confine
     155             :       ELSE
     156        8488 :          IF (ASSOCIATED(gth_potential) .OR. ASSOCIATED(sgp_potential)) THEN
     157        7398 :             potential%confinement = .TRUE.
     158             :          ELSE
     159        1090 :             potential%confinement = .FALSE.
     160             :          END IF
     161             :       END IF
     162        8488 :       potential%conf_type = poly_conf
     163        8488 :       potential%acon = 0.1_dp
     164        8488 :       potential%rcon = 2.0_dp*ptable(z)%vdw_radius*bohr
     165        8488 :       potential%scon = 2.0_dp
     166             : 
     167        8488 :       IF (ASSOCIATED(gth_potential)) THEN
     168        7370 :          potential%ppot_type = gth_pseudo
     169        7370 :          CALL get_potential(gth_potential, zeff=zeff)
     170        7370 :          CALL gth_potential_conversion(gth_potential, potential%gth_pot)
     171        7370 :          CALL set_atom(atom, zcore=NINT(zeff), potential=potential)
     172        1118 :       ELSE IF (ASSOCIATED(sgp_potential)) THEN
     173          28 :          CALL get_potential(sgp_potential, ecp_semi_local=ecp_semi_local)
     174          28 :          IF (ecp_semi_local) THEN
     175          16 :             potential%ppot_type = ecp_pseudo
     176          16 :             CALL ecp_potential_conversion(sgp_potential, potential%ecp_pot)
     177          16 :             potential%ecp_pot%symbol = ptable(z)%symbol
     178             :          ELSE
     179          12 :             potential%ppot_type = sgp_pseudo
     180          12 :             CALL sgp_potential_conversion(sgp_potential, potential%sgp_pot)
     181          12 :             potential%sgp_pot%symbol = ptable(z)%symbol
     182             :          END IF
     183          28 :          CALL get_potential(sgp_potential, zeff=zeff)
     184          28 :          CALL set_atom(atom, zcore=NINT(zeff), potential=potential)
     185             :       ELSE
     186        1090 :          potential%ppot_type = no_pseudo
     187        1090 :          CALL set_atom(atom, zcore=z, potential=potential)
     188             :       END IF
     189             : 
     190             :       NULLIFY (basis)
     191      161272 :       ALLOCATE (basis)
     192        8488 :       CALL set_kind_basis_atomic(basis, orb_basis_set, has_pp, agrid)
     193             : 
     194        8488 :       CALL set_atom(atom, basis=basis)
     195             : 
     196             :       ! optimization defaults
     197        8488 :       atom%optimization%damping = 0.2_dp
     198        8488 :       atom%optimization%eps_scf = 1.e-6_dp
     199        8488 :       atom%optimization%eps_diis = 100._dp
     200        8488 :       atom%optimization%max_iter = 50
     201        8488 :       atom%optimization%n_diis = 5
     202             : 
     203             :       ! set up the electronic state
     204             :       CALL init_atom_electronic_state(atomic_kind=atomic_kind, &
     205             :                                       qs_kind=qs_kind, &
     206             :                                       ncalc=ncalc, &
     207             :                                       ncore=ncore, &
     208             :                                       nelem=nelem, &
     209        8488 :                                       edelta=edelta)
     210             : 
     211             :       ! restricted or unrestricted?
     212     1213784 :       IF (SUM(ABS(edelta)) > 0.0_dp) THEN
     213          56 :          uks = .TRUE.
     214          56 :          CALL set_atom(atom, method_type=do_uks_atom)
     215             :       ELSE
     216        8432 :          uks = .FALSE.
     217        8432 :          CALL set_atom(atom, method_type=do_rks_atom)
     218             :       END IF
     219             : 
     220     3081144 :       ALLOCATE (atom%state)
     221             : 
     222      602648 :       atom%state%core = 0._dp
     223      424400 :       atom%state%core(0:lmat, 1:7) = REAL(ncore(0:lmat, 1:7), dp)
     224      602648 :       atom%state%occ = 0._dp
     225        8488 :       IF (uks) THEN
     226             :          atom%state%occ(0:lmat, 1:7) = REAL(ncalc(0:lmat, 1:7), dp) + &
     227        2800 :                                        edelta(0:lmat, 1:7, 1) + edelta(0:lmat, 1:7, 2)
     228             :       ELSE
     229      421600 :          atom%state%occ(0:lmat, 1:7) = REAL(ncalc(0:lmat, 1:7), dp)
     230             :       END IF
     231      602648 :       atom%state%occupation = 0._dp
     232       59416 :       DO l = 0, lmat
     233             :          k = 0
     234      407424 :          DO i = 1, 7
     235      407424 :             IF (ncalc(l, i) > 0) THEN
     236       13451 :                k = k + 1
     237       13451 :                IF (uks) THEN
     238             :                   atom%state%occupation(l, k) = REAL(ncalc(l, i), dp) + &
     239         104 :                                                 edelta(l, i, 1) + edelta(l, i, 2)
     240         104 :                   atom%state%occa(l, k) = 0.5_dp*REAL(ncalc(l, i), dp) + edelta(l, i, 1)
     241         104 :                   atom%state%occb(l, k) = 0.5_dp*REAL(ncalc(l, i), dp) + edelta(l, i, 2)
     242             :                ELSE
     243       13347 :                   atom%state%occupation(l, k) = REAL(ncalc(l, i), dp)
     244             :                END IF
     245             :             END IF
     246             :          END DO
     247       50928 :          ok = REAL(2*l + 1, KIND=dp)
     248       59416 :          IF (uks) THEN
     249        2688 :             DO i = 1, 7
     250        2352 :                atom%state%occ(l, i) = MIN(atom%state%occ(l, i), 2.0_dp*ok)
     251        2352 :                atom%state%occa(l, i) = MIN(atom%state%occa(l, i), ok)
     252        2352 :                atom%state%occb(l, i) = MIN(atom%state%occb(l, i), ok)
     253        2688 :                atom%state%occupation(l, i) = atom%state%occa(l, i) + atom%state%occb(l, i)
     254             :             END DO
     255             :          ELSE
     256      404736 :             DO i = 1, 7
     257      354144 :                atom%state%occ(l, i) = MIN(atom%state%occ(l, i), 2.0_dp*ok)
     258      404736 :                atom%state%occupation(l, i) = MIN(atom%state%occupation(l, i), 2.0_dp*ok)
     259             :             END DO
     260             :          END IF
     261             :       END DO
     262        8488 :       IF (uks) THEN
     263        3976 :          atom%state%multiplicity = NINT(ABS(SUM(atom%state%occa - atom%state%occb)) + 1)
     264             :       ELSE
     265        8432 :          atom%state%multiplicity = -1
     266             :       END IF
     267             : 
     268        8488 :       atom%state%maxl_occ = get_maxl_occ(atom%state%occupation)
     269       59416 :       atom%state%maxn_occ = get_maxn_occ(atom%state%occupation)
     270        8488 :       atom%state%maxl_calc = atom%state%maxl_occ
     271       59416 :       atom%state%maxn_calc = atom%state%maxn_occ
     272             : 
     273             :       ! total number of occupied orbitals
     274        8488 :       IF (PRESENT(nocc) .AND. ghost) THEN
     275         420 :          nocc = 0
     276             :       ELSEIF (PRESENT(nocc)) THEN
     277       24636 :          nocc = 0
     278       57484 :          DO l = 0, lmat
     279      402388 :             DO k = 1, 7
     280      394176 :                IF (uks) THEN
     281        2352 :                   IF (atom%state%occa(l, k) > 0.0_dp) THEN
     282          74 :                      nocc(1) = nocc(1) + 2*l + 1
     283             :                   END IF
     284        2352 :                   IF (atom%state%occb(l, k) > 0.0_dp) THEN
     285          74 :                      nocc(2) = nocc(2) + 2*l + 1
     286             :                   END IF
     287             :                ELSE
     288      342552 :                   IF (atom%state%occupation(l, k) > 0.0_dp) THEN
     289       13171 :                      nocc(1) = nocc(1) + 2*l + 1
     290       13171 :                      nocc(2) = nocc(2) + 2*l + 1
     291             :                   END IF
     292             :                END IF
     293             :             END DO
     294             :          END DO
     295             :       END IF
     296             : 
     297             :       ! calculate integrals
     298             :       ! general integrals
     299             :       CALL atom_int_setup(integrals, basis, potential=atom%potential, &
     300             :                           eri_coulomb=(atom%coulomb_integral_type == do_analytic), &
     301        8488 :                           eri_exchange=(atom%exchange_integral_type == do_analytic))
     302             :       ! potential
     303        8488 :       CALL atom_ppint_setup(integrals, basis, potential=atom%potential)
     304             :       ! relativistic correction terms
     305        8488 :       NULLIFY (integrals%tzora, integrals%hdkh)
     306        8488 :       CALL atom_relint_setup(integrals, basis, atom%relativistic, zcore=REAL(atom%zcore, dp))
     307        8488 :       CALL set_atom(atom, integrals=integrals)
     308             : 
     309        8488 :       NULLIFY (orbitals)
     310       59416 :       mo = MAXVAL(atom%state%maxn_calc)
     311       59416 :       mb = MAXVAL(atom%basis%nbas)
     312        8488 :       CALL create_atom_orbs(orbitals, mb, mo)
     313        8488 :       CALL set_atom(atom, orbitals=orbitals)
     314             : 
     315        8488 :       IF (.NOT. ghost) THEN
     316        8348 :          IF (PRESENT(iunit)) THEN
     317        8346 :             CALL calculate_atom(atom, iunit)
     318             :          ELSE
     319           2 :             CALL calculate_atom(atom, -1)
     320             :          END IF
     321             :       END IF
     322             : 
     323        8488 :       IF (PRESENT(pmat)) THEN
     324             :          ! recover density matrix in CP2K/GPW order and normalization
     325             :          CALL get_gto_basis_set(orb_basis_set, &
     326        8352 :                                 nset=nset, nshell=nshell, l=ls, nsgf=nsgf, first_sgf=first_sgf)
     327        8352 :          set_index = 0
     328        8352 :          shell_index = 0
     329        8352 :          nbb = 0
     330       25404 :          DO i = 1, nset
     331       58382 :             DO j = 1, nshell(i)
     332       32978 :                l = ls(j, i)
     333       50030 :                IF (l <= lmat) THEN
     334       32978 :                   nbb(l) = nbb(l) + 1
     335       32978 :                   k = nbb(l)
     336       32978 :                   CPASSERT(k <= 100)
     337       32978 :                   set_index(l, k) = i
     338       32978 :                   shell_index(l, k) = j
     339             :                END IF
     340             :             END DO
     341             :          END DO
     342             : 
     343        8352 :          IF (ASSOCIATED(pmat)) THEN
     344           0 :             DEALLOCATE (pmat)
     345             :          END IF
     346       41748 :          ALLOCATE (pmat(nsgf, nsgf, 2))
     347     2443544 :          pmat = 0._dp
     348       16704 :          IF (.NOT. ghost) THEN
     349       57484 :             DO l = 0, lmat
     350       49272 :                ll = 2*l
     351       89936 :                DO k1 = 1, atom%basis%nbas(l)
     352      150094 :                   DO k2 = 1, atom%basis%nbas(l)
     353       68370 :                      scal = SQRT(atom%integrals%ovlp(k1, k1, l)*atom%integrals%ovlp(k2, k2, l))/REAL(2*l + 1, KIND=dp)
     354       68370 :                      i = first_sgf(shell_index(l, k1), set_index(l, k1))
     355       68370 :                      j = first_sgf(shell_index(l, k2), set_index(l, k2))
     356      100822 :                      IF (uks) THEN
     357        1360 :                         DO m = 0, ll
     358         964 :                            pmat(i + m, j + m, 1) = atom%orbitals%pmata(k1, k2, l)*scal
     359        1360 :                            pmat(i + m, j + m, 2) = atom%orbitals%pmatb(k1, k2, l)*scal
     360             :                         END DO
     361             :                      ELSE
     362      207970 :                         DO m = 0, ll
     363      207970 :                            pmat(i + m, j + m, 1) = atom%orbitals%pmat(k1, k2, l)*scal
     364             :                         END DO
     365             :                      END IF
     366             :                   END DO
     367             :                END DO
     368             :             END DO
     369        8212 :             IF (uks) THEN
     370       10184 :                pmat(:, :, 1) = pmat(:, :, 1) + pmat(:, :, 2)
     371       10184 :                pmat(:, :, 2) = pmat(:, :, 1) - 2.0_dp*pmat(:, :, 2)
     372             :             END IF
     373             :          END IF
     374             :       END IF
     375             : 
     376        8488 :       IF (PRESENT(fmat)) THEN
     377             :          ! recover fock matrix in CP2K/GPW order.
     378             :          ! Caution: Normalization is not take care of, so it's probably weird.
     379             :          CALL get_gto_basis_set(orb_basis_set, &
     380         134 :                                 nset=nset, nshell=nshell, l=ls, nsgf=nsgf, first_sgf=first_sgf)
     381         134 :          set_index = 0
     382         134 :          shell_index = 0
     383         134 :          nbb = 0
     384         270 :          DO i = 1, nset
     385         740 :             DO j = 1, nshell(i)
     386         470 :                l = ls(j, i)
     387         606 :                IF (l <= lmat) THEN
     388         470 :                   nbb(l) = nbb(l) + 1
     389         470 :                   k = nbb(l)
     390         470 :                   CPASSERT(k <= 100)
     391         470 :                   set_index(l, k) = i
     392         470 :                   shell_index(l, k) = j
     393             :                END IF
     394             :             END DO
     395             :          END DO
     396         134 :          IF (uks) CPABORT("calculate_atomic_orbitals: only RKS is implemented")
     397         134 :          IF (ASSOCIATED(fmat)) CPABORT("fmat already associated")
     398         134 :          IF (.NOT. ASSOCIATED(atom%fmat)) CPABORT("atom%fmat not associated")
     399         536 :          ALLOCATE (fmat(nsgf, nsgf, 1))
     400        9708 :          fmat = 0.0_dp
     401         268 :          IF (.NOT. ghost) THEN
     402         938 :             DO l = 0, lmat
     403         804 :                ll = 2*l
     404        1408 :                DO k1 = 1, atom%basis%nbas(l)
     405        2084 :                DO k2 = 1, atom%basis%nbas(l)
     406         810 :                   scal = SQRT(atom%integrals%ovlp(k1, k1, l)*atom%integrals%ovlp(k2, k2, l))
     407         810 :                   i = first_sgf(shell_index(l, k1), set_index(l, k1))
     408         810 :                   j = first_sgf(shell_index(l, k2), set_index(l, k2))
     409        2714 :                   DO m = 0, ll
     410        2244 :                      fmat(i + m, j + m, 1) = atom%fmat%op(k1, k2, l)/scal
     411             :                   END DO
     412             :                END DO
     413             :                END DO
     414             :             END DO
     415             :          END IF
     416             :       END IF
     417             : 
     418        8488 :       nr = basis%grid%nr
     419             : 
     420        8488 :       IF (PRESENT(density)) THEN
     421           2 :          IF (ASSOCIATED(density)) DEALLOCATE (density)
     422           6 :          ALLOCATE (density(nr))
     423           2 :          IF (ghost) THEN
     424           0 :             density = 0.0_dp
     425             :          ELSE
     426           2 :             CALL atom_density(density, atom%orbitals%pmat, atom%basis, atom%state%maxl_occ)
     427             :          END IF
     428             :       END IF
     429             : 
     430        8488 :       IF (PRESENT(wavefunction)) THEN
     431           2 :          CPASSERT(PRESENT(wfninfo))
     432           2 :          IF (ASSOCIATED(wavefunction)) DEALLOCATE (wavefunction)
     433           2 :          IF (ASSOCIATED(wfninfo)) DEALLOCATE (wfninfo)
     434          14 :          mo = SUM(atom%state%maxn_occ)
     435          12 :          ALLOCATE (wavefunction(nr, mo), wfninfo(2, mo))
     436        3722 :          wavefunction = 0.0_dp
     437           2 :          IF (.NOT. ghost) THEN
     438             :             ii = 0
     439          14 :             DO l = 0, lmat
     440          18 :                DO i = 1, atom%state%maxn_occ(l)
     441          16 :                   IF (atom%state%occupation(l, i) > 0.0_dp) THEN
     442           4 :                      ii = ii + 1
     443           4 :                      wfninfo(1, ii) = atom%state%occupation(l, i)
     444           4 :                      wfninfo(2, ii) = REAL(l, dp)
     445          84 :                      DO j = 1, atom%basis%nbas(l)
     446             :                         wavefunction(:, ii) = wavefunction(:, ii) + &
     447      148724 :                                               atom%orbitals%wfn(j, i, l)*basis%bf(:, j, l)
     448             :                      END DO
     449             :                   END IF
     450             :                END DO
     451             :             END DO
     452           2 :             CPASSERT(mo == ii)
     453             :          END IF
     454             :       END IF
     455             : 
     456             :       ! clean up
     457        8488 :       CALL atom_int_release(integrals)
     458        8488 :       CALL atom_ppint_release(integrals)
     459        8488 :       CALL atom_relint_release(integrals)
     460        8488 :       CALL release_atom_basis(basis)
     461        8488 :       CALL release_atom_potential(potential)
     462        8488 :       CALL release_atom_type(atom)
     463             : 
     464        8488 :       DEALLOCATE (potential, basis, integrals)
     465             : 
     466        8488 :    END SUBROUTINE calculate_atomic_orbitals
     467             : 
     468             : ! **************************************************************************************************
     469             : !> \brief ...
     470             : !> \param density ...
     471             : !> \param atomic_kind ...
     472             : !> \param qs_kind ...
     473             : !> \param ngto ...
     474             : !> \param iunit ...
     475             : !> \param optbasis ... Default=T, if basis should be optimized, if not basis is given in input (density)
     476             : !> \param allelectron ...
     477             : !> \param confine ...
     478             : ! **************************************************************************************************
     479          60 :    SUBROUTINE calculate_atomic_density(density, atomic_kind, qs_kind, ngto, iunit, &
     480             :                                        optbasis, allelectron, confine)
     481             :       REAL(KIND=dp), DIMENSION(:, :), INTENT(INOUT)      :: density
     482             :       TYPE(atomic_kind_type), POINTER                    :: atomic_kind
     483             :       TYPE(qs_kind_type), POINTER                        :: qs_kind
     484             :       INTEGER, INTENT(IN)                                :: ngto
     485             :       INTEGER, INTENT(IN), OPTIONAL                      :: iunit
     486             :       LOGICAL, INTENT(IN), OPTIONAL                      :: optbasis, allelectron, confine
     487             : 
     488             :       INTEGER, PARAMETER                                 :: num_gto = 40
     489             : 
     490             :       INTEGER                                            :: i, ii, iw, k, l, ll, m, mb, mo, ngp, nn, &
     491             :                                                             nr, quadtype, relativistic, z
     492             :       INTEGER, DIMENSION(0:lmat)                         :: starti
     493             :       INTEGER, DIMENSION(0:lmat, 10)                     :: ncalc, ncore, nelem
     494          60 :       INTEGER, DIMENSION(:), POINTER                     :: econf
     495             :       LOGICAL                                            :: do_basopt, ecp_semi_local
     496             :       REAL(KIND=dp)                                      :: al, aval, cc, cval, ear, rk, xx, zeff
     497             :       REAL(KIND=dp), DIMENSION(num_gto+2)                :: results
     498             :       TYPE(all_potential_type), POINTER                  :: all_potential
     499             :       TYPE(atom_basis_type), POINTER                     :: basis
     500             :       TYPE(atom_integrals), POINTER                      :: integrals
     501             :       TYPE(atom_orbitals), POINTER                       :: orbitals
     502             :       TYPE(atom_potential_type), POINTER                 :: potential
     503             :       TYPE(atom_type), POINTER                           :: atom
     504             :       TYPE(grid_atom_type), POINTER                      :: grid
     505             :       TYPE(gth_potential_type), POINTER                  :: gth_potential
     506             :       TYPE(sgp_potential_type), POINTER                  :: sgp_potential
     507             : 
     508          60 :       NULLIFY (atom)
     509          60 :       CALL create_atom_type(atom)
     510             : 
     511          60 :       CALL get_atomic_kind(atomic_kind, z=z)
     512          60 :       NULLIFY (all_potential, gth_potential)
     513             :       CALL get_qs_kind(qs_kind, zeff=zeff, &
     514             :                        all_potential=all_potential, &
     515             :                        gth_potential=gth_potential, &
     516          60 :                        sgp_potential=sgp_potential)
     517             : 
     518          60 :       IF (PRESENT(iunit)) THEN
     519           8 :          iw = iunit
     520             :       ELSE
     521          52 :          iw = -1
     522             :       END IF
     523             : 
     524          60 :       IF (PRESENT(allelectron)) THEN
     525           4 :          IF (allelectron) THEN
     526           4 :             NULLIFY (gth_potential)
     527           4 :             zeff = z
     528             :          END IF
     529             :       END IF
     530             : 
     531          60 :       do_basopt = .TRUE.
     532          60 :       IF (PRESENT(optbasis)) THEN
     533          16 :          do_basopt = optbasis
     534             :       END IF
     535             : 
     536          60 :       CPASSERT(ngto <= num_gto)
     537             : 
     538          60 :       IF (ASSOCIATED(gth_potential) .OR. ASSOCIATED(sgp_potential)) THEN
     539             :          ! PP calculation are non-relativistic
     540          54 :          relativistic = do_nonrel_atom
     541             :       ELSE
     542             :          ! AE calculations use DKH2
     543           6 :          relativistic = do_dkh2_atom
     544             :       END IF
     545             : 
     546          60 :       atom%z = z
     547             :       CALL set_atom(atom, &
     548             :                     pp_calc=(ASSOCIATED(gth_potential) .OR. ASSOCIATED(sgp_potential)), &
     549             :                     method_type=do_rks_atom, &
     550             :                     relativistic=relativistic, &
     551             :                     coulomb_integral_type=do_numeric, &
     552          66 :                     exchange_integral_type=do_numeric)
     553             : 
     554      328980 :       ALLOCATE (potential, basis, integrals)
     555             : 
     556          60 :       IF (PRESENT(confine)) THEN
     557          60 :          potential%confinement = confine
     558             :       ELSE
     559           0 :          IF (ASSOCIATED(gth_potential) .OR. ASSOCIATED(sgp_potential)) THEN
     560           0 :             potential%confinement = .TRUE.
     561             :          ELSE
     562           0 :             potential%confinement = .FALSE.
     563             :          END IF
     564             :       END IF
     565          60 :       potential%conf_type = barrier_conf
     566          60 :       potential%acon = 200._dp
     567          60 :       potential%rcon = 4.0_dp
     568          60 :       potential%scon = 8.0_dp
     569             : 
     570          60 :       IF (ASSOCIATED(gth_potential)) THEN
     571          54 :          potential%ppot_type = gth_pseudo
     572          54 :          CALL get_potential(gth_potential, zeff=zeff)
     573          54 :          CALL gth_potential_conversion(gth_potential, potential%gth_pot)
     574          54 :          CALL set_atom(atom, zcore=NINT(zeff), potential=potential)
     575           6 :       ELSE IF (ASSOCIATED(sgp_potential)) THEN
     576           0 :          CALL get_potential(sgp_potential, ecp_semi_local=ecp_semi_local)
     577           0 :          IF (ecp_semi_local) THEN
     578           0 :             potential%ppot_type = ecp_pseudo
     579           0 :             CALL ecp_potential_conversion(sgp_potential, potential%ecp_pot)
     580           0 :             potential%ecp_pot%symbol = ptable(z)%symbol
     581             :          ELSE
     582           0 :             potential%ppot_type = sgp_pseudo
     583           0 :             CALL sgp_potential_conversion(sgp_potential, potential%sgp_pot)
     584           0 :             potential%sgp_pot%symbol = ptable(z)%symbol
     585             :          END IF
     586           0 :          CALL get_potential(sgp_potential, zeff=zeff)
     587           0 :          CALL set_atom(atom, zcore=NINT(zeff), potential=potential)
     588             :       ELSE
     589           6 :          potential%ppot_type = no_pseudo
     590           6 :          CALL set_atom(atom, zcore=z, potential=potential)
     591             :       END IF
     592             : 
     593             :       ! atomic grid
     594          60 :       NULLIFY (grid)
     595          60 :       ngp = 400
     596          60 :       quadtype = do_gapw_log
     597          60 :       CALL allocate_grid_atom(grid)
     598          60 :       CALL create_grid_atom(grid, ngp, 1, 1, 0, quadtype)
     599          60 :       grid%nr = ngp
     600          60 :       basis%grid => grid
     601             : 
     602          60 :       NULLIFY (basis%am, basis%cm, basis%as, basis%ns, basis%bf, basis%dbf, basis%ddbf)
     603             : 
     604             :       ! fill in the basis data structures
     605          60 :       basis%eps_eig = 1.e-12_dp
     606          60 :       basis%basis_type = GTO_BASIS
     607          60 :       CALL Clementi_geobas(z, cval, aval, basis%nbas, starti)
     608         420 :       basis%nprim = basis%nbas
     609         420 :       m = MAXVAL(basis%nbas)
     610         180 :       ALLOCATE (basis%am(m, 0:lmat))
     611        8052 :       basis%am = 0._dp
     612         420 :       DO l = 0, lmat
     613        2076 :          DO i = 1, basis%nbas(l)
     614        1656 :             ll = i - 1 + starti(l)
     615        2016 :             basis%am(i, l) = aval*cval**(ll)
     616             :          END DO
     617             :       END DO
     618             : 
     619          60 :       basis%geometrical = .TRUE.
     620          60 :       basis%aval = aval
     621          60 :       basis%cval = cval
     622         420 :       basis%start = starti
     623             : 
     624             :       ! initialize basis function on a radial grid
     625          60 :       nr = basis%grid%nr
     626         420 :       m = MAXVAL(basis%nbas)
     627         300 :       ALLOCATE (basis%bf(nr, m, 0:lmat))
     628         180 :       ALLOCATE (basis%dbf(nr, m, 0:lmat))
     629         180 :       ALLOCATE (basis%ddbf(nr, m, 0:lmat))
     630     3060852 :       basis%bf = 0._dp
     631     3060852 :       basis%dbf = 0._dp
     632     3060852 :       basis%ddbf = 0._dp
     633         420 :       DO l = 0, lmat
     634        2076 :          DO i = 1, basis%nbas(l)
     635        1656 :             al = basis%am(i, l)
     636      664416 :             DO k = 1, nr
     637      662400 :                rk = basis%grid%rad(k)
     638      662400 :                ear = EXP(-al*basis%grid%rad(k)**2)
     639      662400 :                basis%bf(k, i, l) = rk**l*ear
     640      662400 :                basis%dbf(k, i, l) = (REAL(l, dp)*rk**(l - 1) - 2._dp*al*rk**(l + 1))*ear
     641             :                basis%ddbf(k, i, l) = (REAL(l*(l - 1), dp)*rk**(l - 2) - &
     642      664056 :                                       2._dp*al*REAL(2*l + 1, dp)*rk**(l) + 4._dp*al*rk**(l + 2))*ear
     643             :             END DO
     644             :          END DO
     645             :       END DO
     646             : 
     647          60 :       CALL set_atom(atom, basis=basis)
     648             : 
     649             :       ! optimization defaults
     650          60 :       atom%optimization%damping = 0.2_dp
     651          60 :       atom%optimization%eps_scf = 1.e-6_dp
     652          60 :       atom%optimization%eps_diis = 100._dp
     653          60 :       atom%optimization%max_iter = 50
     654          60 :       atom%optimization%n_diis = 5
     655             : 
     656          60 :       nelem = 0
     657          60 :       ncore = 0
     658          60 :       ncalc = 0
     659          60 :       IF (ASSOCIATED(gth_potential)) THEN
     660          54 :          CALL get_potential(gth_potential, elec_conf=econf)
     661          54 :          CALL set_pseudo_state(econf, z, ncalc, ncore, nelem)
     662           6 :       ELSE IF (ASSOCIATED(sgp_potential)) THEN
     663           0 :          CALL get_potential(sgp_potential, elec_conf=econf)
     664           0 :          CALL set_pseudo_state(econf, z, ncalc, ncore, nelem)
     665             :       ELSE
     666          30 :          DO l = 0, MIN(lmat, UBOUND(ptable(z)%e_conv, 1))
     667          24 :             ll = 2*(2*l + 1)
     668          24 :             nn = ptable(z)%e_conv(l)
     669          24 :             ii = 0
     670           6 :             DO
     671          24 :                ii = ii + 1
     672          24 :                IF (nn <= ll) THEN
     673          24 :                   nelem(l, ii) = nn
     674             :                   EXIT
     675             :                ELSE
     676           0 :                   nelem(l, ii) = ll
     677           0 :                   nn = nn - ll
     678             :                END IF
     679             :             END DO
     680             :          END DO
     681         426 :          ncalc = nelem - ncore
     682             :       END IF
     683             : 
     684          60 :       IF (qs_kind%ghost .OR. qs_kind%floating) THEN
     685           0 :          nelem = 0
     686           0 :          ncore = 0
     687           0 :          ncalc = 0
     688             :       END IF
     689             : 
     690       21780 :       ALLOCATE (atom%state)
     691             : 
     692        4260 :       atom%state%core = 0._dp
     693        3000 :       atom%state%core(0:lmat, 1:7) = REAL(ncore(0:lmat, 1:7), dp)
     694        4260 :       atom%state%occ = 0._dp
     695        3000 :       atom%state%occ(0:lmat, 1:7) = REAL(ncalc(0:lmat, 1:7), dp)
     696        4260 :       atom%state%occupation = 0._dp
     697          60 :       atom%state%multiplicity = -1
     698         420 :       DO l = 0, lmat
     699             :          k = 0
     700        2940 :          DO i = 1, 7
     701        2880 :             IF (ncalc(l, i) > 0) THEN
     702          84 :                k = k + 1
     703          84 :                atom%state%occupation(l, k) = REAL(ncalc(l, i), dp)
     704             :             END IF
     705             :          END DO
     706             :       END DO
     707             : 
     708          60 :       atom%state%maxl_occ = get_maxl_occ(atom%state%occupation)
     709         420 :       atom%state%maxn_occ = get_maxn_occ(atom%state%occupation)
     710          60 :       atom%state%maxl_calc = atom%state%maxl_occ
     711         420 :       atom%state%maxn_calc = atom%state%maxn_occ
     712             : 
     713             :       ! calculate integrals
     714             :       ! general integrals
     715             :       CALL atom_int_setup(integrals, basis, potential=atom%potential, &
     716             :                           eri_coulomb=(atom%coulomb_integral_type == do_analytic), &
     717          60 :                           eri_exchange=(atom%exchange_integral_type == do_analytic))
     718             :       ! potential
     719          60 :       CALL atom_ppint_setup(integrals, basis, potential=atom%potential)
     720             :       ! relativistic correction terms
     721          60 :       NULLIFY (integrals%tzora, integrals%hdkh)
     722          60 :       CALL atom_relint_setup(integrals, basis, atom%relativistic, zcore=REAL(atom%zcore, dp))
     723          60 :       CALL set_atom(atom, integrals=integrals)
     724             : 
     725          60 :       NULLIFY (orbitals)
     726         420 :       mo = MAXVAL(atom%state%maxn_calc)
     727         420 :       mb = MAXVAL(atom%basis%nbas)
     728          60 :       CALL create_atom_orbs(orbitals, mb, mo)
     729          60 :       CALL set_atom(atom, orbitals=orbitals)
     730             : 
     731          60 :       CALL calculate_atom(atom, iw)
     732             : 
     733          60 :       IF (do_basopt) THEN
     734          44 :          CALL atom_fit_density(atom, ngto, 0, iw, results=results)
     735          44 :          xx = results(1)
     736          44 :          cc = results(2)
     737         428 :          DO i = 1, ngto
     738         384 :             density(i, 1) = xx*cc**i
     739         428 :             density(i, 2) = results(2 + i)
     740             :          END DO
     741             :       ELSE
     742          16 :          CALL atom_fit_density(atom, ngto, 0, iw, agto=density(:, 1), results=results)
     743         122 :          density(1:ngto, 2) = results(1:ngto)
     744             :       END IF
     745             : 
     746             :       ! clean up
     747          60 :       CALL atom_int_release(integrals)
     748          60 :       CALL atom_ppint_release(integrals)
     749          60 :       CALL atom_relint_release(integrals)
     750          60 :       CALL release_atom_basis(basis)
     751          60 :       CALL release_atom_potential(potential)
     752          60 :       CALL release_atom_type(atom)
     753             : 
     754          60 :       DEALLOCATE (potential, basis, integrals)
     755             : 
     756          60 :    END SUBROUTINE calculate_atomic_density
     757             : 
     758             : ! **************************************************************************************************
     759             : !> \brief ...
     760             : !> \param atomic_kind ...
     761             : !> \param qs_kind ...
     762             : !> \param rel_control ...
     763             : !> \param rtmat ...
     764             : ! **************************************************************************************************
     765          26 :    SUBROUTINE calculate_atomic_relkin(atomic_kind, qs_kind, rel_control, rtmat)
     766             :       TYPE(atomic_kind_type), INTENT(IN)                 :: atomic_kind
     767             :       TYPE(qs_kind_type), INTENT(IN)                     :: qs_kind
     768             :       TYPE(rel_control_type), POINTER                    :: rel_control
     769             :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: rtmat
     770             : 
     771             :       INTEGER                                            :: i, ii, ipgf, j, k, k1, k2, l, ll, m, n, &
     772             :                                                             ngp, nj, nn, nr, ns, nset, nsgf, &
     773             :                                                             quadtype, relativistic, z
     774             :       INTEGER, DIMENSION(0:lmat, 10)                     :: ncalc, ncore, nelem
     775             :       INTEGER, DIMENSION(0:lmat, 100)                    :: set_index, shell_index
     776          26 :       INTEGER, DIMENSION(:), POINTER                     :: lmax, lmin, npgf, nshell
     777          26 :       INTEGER, DIMENSION(:, :), POINTER                  :: first_sgf, last_sgf, ls
     778             :       REAL(KIND=dp)                                      :: al, alpha, ear, prefac, rk, zeff
     779          26 :       REAL(KIND=dp), ALLOCATABLE, DIMENSION(:, :)        :: omat
     780          26 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: zet
     781          26 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: gcc
     782             :       TYPE(all_potential_type), POINTER                  :: all_potential
     783             :       TYPE(atom_basis_type), POINTER                     :: basis
     784             :       TYPE(atom_integrals), POINTER                      :: integrals
     785             :       TYPE(atom_potential_type), POINTER                 :: potential
     786             :       TYPE(atom_type), POINTER                           :: atom
     787             :       TYPE(grid_atom_type), POINTER                      :: grid
     788             :       TYPE(gto_basis_set_type), POINTER                  :: orb_basis_set
     789             : 
     790          26 :       IF (rel_control%rel_method == rel_none) RETURN
     791             : 
     792          26 :       NULLIFY (all_potential, orb_basis_set)
     793          26 :       CALL get_qs_kind(qs_kind, basis_set=orb_basis_set, all_potential=all_potential)
     794             : 
     795          26 :       CPASSERT(ASSOCIATED(orb_basis_set))
     796             : 
     797          26 :       IF (ASSOCIATED(all_potential)) THEN
     798             :          ! only all electron atoms will get the relativistic correction
     799             : 
     800          26 :          CALL get_atomic_kind(atomic_kind, z=z)
     801          26 :          CALL get_qs_kind(qs_kind, zeff=zeff)
     802          26 :          NULLIFY (atom)
     803          26 :          CALL create_atom_type(atom)
     804          26 :          NULLIFY (atom%xc_section)
     805          26 :          NULLIFY (atom%orbitals)
     806          26 :          atom%z = z
     807          26 :          alpha = SQRT(all_potential%alpha_core_charge)
     808             : 
     809             :          ! set the method flag
     810          26 :          SELECT CASE (rel_control%rel_method)
     811             :          CASE DEFAULT
     812           0 :             CPABORT("")
     813             :          CASE (rel_dkh)
     814          26 :             SELECT CASE (rel_control%rel_DKH_order)
     815             :             CASE DEFAULT
     816           0 :                CPABORT("")
     817             :             CASE (0)
     818           0 :                relativistic = do_dkh0_atom
     819             :             CASE (1)
     820           0 :                relativistic = do_dkh1_atom
     821             :             CASE (2)
     822           8 :                relativistic = do_dkh2_atom
     823             :             CASE (3)
     824          14 :                relativistic = do_dkh3_atom
     825             :             END SELECT
     826             :          CASE (rel_zora)
     827          26 :             SELECT CASE (rel_control%rel_zora_type)
     828             :             CASE DEFAULT
     829           0 :                CPABORT("")
     830             :             CASE (rel_zora_full)
     831           0 :                CPABORT("")
     832             :             CASE (rel_zora_mp)
     833           0 :                relativistic = do_zoramp_atom
     834             :             CASE (rel_sczora_mp)
     835          12 :                relativistic = do_sczoramp_atom
     836             :             END SELECT
     837             :          END SELECT
     838             : 
     839             :          CALL set_atom(atom, &
     840             :                        pp_calc=.FALSE., &
     841             :                        method_type=do_rks_atom, &
     842             :                        relativistic=relativistic, &
     843             :                        coulomb_integral_type=do_numeric, &
     844          26 :                        exchange_integral_type=do_numeric)
     845             : 
     846      142558 :          ALLOCATE (potential, basis, integrals)
     847             : 
     848          26 :          potential%ppot_type = no_pseudo
     849          26 :          CALL set_atom(atom, zcore=z, potential=potential)
     850             : 
     851             :          CALL get_gto_basis_set(orb_basis_set, &
     852             :                                 nset=nset, nshell=nshell, npgf=npgf, lmin=lmin, lmax=lmax, l=ls, nsgf=nsgf, zet=zet, gcc=gcc, &
     853          26 :                                 first_sgf=first_sgf, last_sgf=last_sgf)
     854             : 
     855          26 :          NULLIFY (grid)
     856          26 :          ngp = 400
     857          26 :          quadtype = do_gapw_log
     858          26 :          CALL allocate_grid_atom(grid)
     859          26 :          CALL create_grid_atom(grid, ngp, 1, 1, 0, quadtype)
     860          26 :          grid%nr = ngp
     861          26 :          basis%grid => grid
     862             : 
     863          26 :          NULLIFY (basis%am, basis%cm, basis%as, basis%ns, basis%bf, basis%dbf, basis%ddbf)
     864          26 :          basis%basis_type = CGTO_BASIS
     865          26 :          basis%eps_eig = 1.e-12_dp
     866             : 
     867             :          ! fill in the basis data structures
     868          26 :          set_index = 0
     869          26 :          shell_index = 0
     870         182 :          basis%nprim = 0
     871         182 :          basis%nbas = 0
     872         120 :          DO i = 1, nset
     873         188 :             DO j = lmin(i), MIN(lmax(i), lmat)
     874         188 :                basis%nprim(j) = basis%nprim(j) + npgf(i)
     875             :             END DO
     876         458 :             DO j = 1, nshell(i)
     877         338 :                l = ls(j, i)
     878         432 :                IF (l <= lmat) THEN
     879         338 :                   basis%nbas(l) = basis%nbas(l) + 1
     880         338 :                   k = basis%nbas(l)
     881         338 :                   CPASSERT(k <= 100)
     882         338 :                   set_index(l, k) = i
     883         338 :                   shell_index(l, k) = j
     884             :                END IF
     885             :             END DO
     886             :          END DO
     887             : 
     888         182 :          nj = MAXVAL(basis%nprim)
     889         182 :          ns = MAXVAL(basis%nbas)
     890          78 :          ALLOCATE (basis%am(nj, 0:lmat))
     891        2150 :          basis%am = 0._dp
     892         130 :          ALLOCATE (basis%cm(nj, ns, 0:lmat))
     893       17810 :          basis%cm = 0._dp
     894         182 :          DO j = 0, lmat
     895             :             nj = 0
     896             :             ns = 0
     897         746 :             DO i = 1, nset
     898         720 :                IF (j >= lmin(i) .AND. j <= lmax(i)) THEN
     899         734 :                   DO ipgf = 1, npgf(i)
     900         734 :                      basis%am(nj + ipgf, j) = zet(ipgf, i)
     901             :                   END DO
     902         432 :                   DO ii = 1, nshell(i)
     903         432 :                      IF (ls(ii, i) == j) THEN
     904         338 :                         ns = ns + 1
     905        4146 :                         DO ipgf = 1, npgf(i)
     906        4146 :                            basis%cm(nj + ipgf, ns, j) = gcc(ipgf, ii, i)
     907             :                         END DO
     908             :                      END IF
     909             :                   END DO
     910          94 :                   nj = nj + npgf(i)
     911             :                END IF
     912             :             END DO
     913             :          END DO
     914             : 
     915             :          ! Normalization as used in the atomic code
     916             :          ! We have to undo the Quickstep normalization
     917         182 :          DO j = 0, lmat
     918         156 :             prefac = 2.0_dp*SQRT(pi/dfac(2*j + 1))
     919         822 :             DO ipgf = 1, basis%nprim(j)
     920        6092 :                DO ii = 1, basis%nbas(j)
     921        5936 :                   basis%cm(ipgf, ii, j) = prefac*basis%cm(ipgf, ii, j)
     922             :                END DO
     923             :             END DO
     924             :          END DO
     925             : 
     926             :          ! initialize basis function on a radial grid
     927          26 :          nr = basis%grid%nr
     928         182 :          m = MAXVAL(basis%nbas)
     929         130 :          ALLOCATE (basis%bf(nr, m, 0:lmat))
     930          78 :          ALLOCATE (basis%dbf(nr, m, 0:lmat))
     931          78 :          ALLOCATE (basis%ddbf(nr, m, 0:lmat))
     932             : 
     933      351458 :          basis%bf = 0._dp
     934      351458 :          basis%dbf = 0._dp
     935      351458 :          basis%ddbf = 0._dp
     936         182 :          DO l = 0, lmat
     937         822 :             DO i = 1, basis%nprim(l)
     938         640 :                al = basis%am(i, l)
     939      256796 :                DO k = 1, nr
     940      256000 :                   rk = basis%grid%rad(k)
     941      256000 :                   ear = EXP(-al*basis%grid%rad(k)**2)
     942     2375040 :                   DO j = 1, basis%nbas(l)
     943     2118400 :                      basis%bf(k, j, l) = basis%bf(k, j, l) + rk**l*ear*basis%cm(i, j, l)
     944             :                      basis%dbf(k, j, l) = basis%dbf(k, j, l) &
     945     2118400 :                                           + (REAL(l, dp)*rk**(l - 1) - 2._dp*al*rk**(l + 1))*ear*basis%cm(i, j, l)
     946             :                      basis%ddbf(k, j, l) = basis%ddbf(k, j, l) + &
     947             :                                            (REAL(l*(l - 1), dp)*rk**(l - 2) - 2._dp*al*REAL(2*l + 1, dp)* &
     948     2374400 :                                             rk**(l) + 4._dp*al*rk**(l + 2))*ear*basis%cm(i, j, l)
     949             :                   END DO
     950             :                END DO
     951             :             END DO
     952             :          END DO
     953             : 
     954          26 :          CALL set_atom(atom, basis=basis)
     955             : 
     956             :          ! optimization defaults
     957          26 :          atom%optimization%damping = 0.2_dp
     958          26 :          atom%optimization%eps_scf = 1.e-6_dp
     959          26 :          atom%optimization%eps_diis = 100._dp
     960          26 :          atom%optimization%max_iter = 50
     961          26 :          atom%optimization%n_diis = 5
     962             : 
     963             :          ! electronic state
     964          26 :          nelem = 0
     965          26 :          ncore = 0
     966          26 :          ncalc = 0
     967         130 :          DO l = 0, MIN(lmat, UBOUND(ptable(z)%e_conv, 1))
     968         104 :             ll = 2*(2*l + 1)
     969         104 :             nn = ptable(z)%e_conv(l)
     970         104 :             ii = 0
     971          26 :             DO
     972         146 :                ii = ii + 1
     973         146 :                IF (nn <= ll) THEN
     974         104 :                   nelem(l, ii) = nn
     975             :                   EXIT
     976             :                ELSE
     977          42 :                   nelem(l, ii) = ll
     978          42 :                   nn = nn - ll
     979             :                END IF
     980             :             END DO
     981             :          END DO
     982        1846 :          ncalc = nelem - ncore
     983             : 
     984          26 :          IF (qs_kind%ghost .OR. qs_kind%floating) THEN
     985             :             nelem = 0
     986           0 :             ncore = 0
     987           0 :             ncalc = 0
     988             :          END IF
     989             : 
     990        9438 :          ALLOCATE (atom%state)
     991             : 
     992        1846 :          atom%state%core = 0._dp
     993        1300 :          atom%state%core(0:lmat, 1:7) = REAL(ncore(0:lmat, 1:7), dp)
     994        1846 :          atom%state%occ = 0._dp
     995        1300 :          atom%state%occ(0:lmat, 1:7) = REAL(ncalc(0:lmat, 1:7), dp)
     996        1846 :          atom%state%occupation = 0._dp
     997          26 :          atom%state%multiplicity = -1
     998         182 :          DO l = 0, lmat
     999             :             k = 0
    1000        1274 :             DO i = 1, 7
    1001        1248 :                IF (ncalc(l, i) > 0) THEN
    1002          88 :                   k = k + 1
    1003          88 :                   atom%state%occupation(l, k) = REAL(ncalc(l, i), dp)
    1004             :                END IF
    1005             :             END DO
    1006             :          END DO
    1007             : 
    1008          26 :          atom%state%maxl_occ = get_maxl_occ(atom%state%occupation)
    1009         182 :          atom%state%maxn_occ = get_maxn_occ(atom%state%occupation)
    1010          26 :          atom%state%maxl_calc = atom%state%maxl_occ
    1011         182 :          atom%state%maxn_calc = atom%state%maxn_occ
    1012             : 
    1013             :          ! calculate integrals
    1014             :          ! general integrals
    1015          26 :          CALL atom_int_setup(integrals, basis)
    1016             :          ! potential
    1017          26 :          CALL atom_ppint_setup(integrals, basis, potential=atom%potential)
    1018             :          ! relativistic correction terms
    1019          26 :          NULLIFY (integrals%tzora, integrals%hdkh)
    1020             :          CALL atom_relint_setup(integrals, basis, atom%relativistic, zcore=REAL(atom%zcore, dp), &
    1021          26 :                                 alpha=alpha)
    1022          26 :          CALL set_atom(atom, integrals=integrals)
    1023             : 
    1024             :          ! for DKH we need erfc integrals to correct non-relativistic
    1025       13742 :          integrals%core = 0.0_dp
    1026         182 :          DO l = 0, lmat
    1027         156 :             n = integrals%n(l)
    1028         156 :             m = basis%nprim(l)
    1029         452 :             ALLOCATE (omat(m, m))
    1030             : 
    1031         156 :             CALL sg_erfc(omat(1:m, 1:m), l, alpha, basis%am(1:m, l), basis%am(1:m, l))
    1032         156 :             integrals%core(1:n, 1:n, l) = MATMUL(TRANSPOSE(basis%cm(1:m, 1:n, l)), &
    1033      635662 :                                                  MATMUL(omat(1:m, 1:m), basis%cm(1:m, 1:n, l)))
    1034             : 
    1035         182 :             DEALLOCATE (omat)
    1036             :          END DO
    1037             : 
    1038             :          ! recover relativistic kinetic matrix in CP2K/GPW order and normalization
    1039          26 :          IF (ASSOCIATED(rtmat)) THEN
    1040           0 :             DEALLOCATE (rtmat)
    1041             :          END IF
    1042         104 :          ALLOCATE (rtmat(nsgf, nsgf))
    1043      159614 :          rtmat = 0._dp
    1044         182 :          DO l = 0, lmat
    1045         156 :             ll = 2*l
    1046         520 :             DO k1 = 1, basis%nbas(l)
    1047        4792 :                DO k2 = 1, basis%nbas(l)
    1048        4298 :                   i = first_sgf(shell_index(l, k1), set_index(l, k1))
    1049        4298 :                   j = first_sgf(shell_index(l, k2), set_index(l, k2))
    1050         338 :                   SELECT CASE (atom%relativistic)
    1051             :                   CASE DEFAULT
    1052           0 :                      CPABORT("")
    1053             :                   CASE (do_zoramp_atom, do_sczoramp_atom)
    1054       14656 :                      DO m = 0, ll
    1055       14656 :                         rtmat(i + m, j + m) = integrals%tzora(k1, k2, l)
    1056             :                      END DO
    1057             :                   CASE (do_dkh0_atom, do_dkh1_atom, do_dkh2_atom, do_dkh3_atom)
    1058        4898 :                      DO m = 0, ll
    1059             :                         rtmat(i + m, j + m) = integrals%hdkh(k1, k2, l) - integrals%kin(k1, k2, l) + &
    1060         904 :                                               atom%zcore*integrals%core(k1, k2, l)
    1061             :                      END DO
    1062             :                   END SELECT
    1063             :                END DO
    1064             :             END DO
    1065             :          END DO
    1066         968 :          DO k1 = 1, nsgf
    1067       80762 :             DO k2 = k1, nsgf
    1068       79794 :                rtmat(k1, k2) = 0.5_dp*(rtmat(k1, k2) + rtmat(k2, k1))
    1069       80736 :                rtmat(k2, k1) = rtmat(k1, k2)
    1070             :             END DO
    1071             :          END DO
    1072             : 
    1073             :          ! clean up
    1074          26 :          CALL atom_int_release(integrals)
    1075          26 :          CALL atom_ppint_release(integrals)
    1076          26 :          CALL atom_relint_release(integrals)
    1077          26 :          CALL release_atom_basis(basis)
    1078          26 :          CALL release_atom_potential(potential)
    1079          26 :          CALL release_atom_type(atom)
    1080             : 
    1081          78 :          DEALLOCATE (potential, basis, integrals)
    1082             : 
    1083             :       ELSE
    1084             : 
    1085           0 :          IF (ASSOCIATED(rtmat)) THEN
    1086           0 :             DEALLOCATE (rtmat)
    1087             :          END IF
    1088           0 :          NULLIFY (rtmat)
    1089             : 
    1090             :       END IF
    1091             : 
    1092          52 :    END SUBROUTINE calculate_atomic_relkin
    1093             : 
    1094             : ! **************************************************************************************************
    1095             : !> \brief ...
    1096             : !> \param gth_potential ...
    1097             : !> \param gth_atompot ...
    1098             : ! **************************************************************************************************
    1099       14852 :    SUBROUTINE gth_potential_conversion(gth_potential, gth_atompot)
    1100             :       TYPE(gth_potential_type), POINTER                  :: gth_potential
    1101             :       TYPE(atom_gthpot_type)                             :: gth_atompot
    1102             : 
    1103             :       INTEGER                                            :: i, j, l, lm, n, ne, nexp_lpot, nexp_lsd, &
    1104             :                                                             nexp_nlcc
    1105        7426 :       INTEGER, DIMENSION(:), POINTER                     :: nct_lpot, nct_lsd, nct_nlcc, nppnl, &
    1106        7426 :                                                             ppeconf
    1107             :       LOGICAL                                            :: lpot_present, lsd_present, nlcc_present
    1108             :       REAL(KIND=dp)                                      :: ac, zeff
    1109        7426 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: alpha_lpot, alpha_lsd, alpha_nlcc, ap, ce
    1110        7426 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: cval_lpot, cval_lsd, cval_nlcc
    1111        7426 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: hp
    1112             : 
    1113             :       CALL get_potential(gth_potential, &
    1114             :                          zeff=zeff, &
    1115             :                          elec_conf=ppeconf, &
    1116             :                          alpha_core_charge=ac, &
    1117             :                          nexp_ppl=ne, &
    1118             :                          cexp_ppl=ce, &
    1119             :                          lppnl=lm, &
    1120             :                          nprj_ppnl=nppnl, &
    1121             :                          alpha_ppnl=ap, &
    1122        7426 :                          hprj_ppnl=hp)
    1123             : 
    1124        7426 :       gth_atompot%zion = zeff
    1125        7426 :       gth_atompot%rc = SQRT(0.5_dp/ac)
    1126        7426 :       gth_atompot%ncl = ne
    1127       44556 :       gth_atompot%cl(:) = 0._dp
    1128        7426 :       IF (ac > 0._dp) THEN
    1129       21888 :          DO i = 1, ne
    1130       21888 :             gth_atompot%cl(i) = ce(i)/(2._dp*ac)**(i - 1)
    1131             :          END DO
    1132             :       END IF
    1133             :       !extended type
    1134        7426 :       gth_atompot%lpotextended = .FALSE.
    1135        7426 :       gth_atompot%lsdpot = .FALSE.
    1136        7426 :       gth_atompot%nlcc = .FALSE.
    1137        7426 :       gth_atompot%nexp_lpot = 0
    1138        7426 :       gth_atompot%nexp_lsd = 0
    1139        7426 :       gth_atompot%nexp_nlcc = 0
    1140             :       CALL get_potential(gth_potential, &
    1141             :                          lpot_present=lpot_present, &
    1142             :                          lsd_present=lsd_present, &
    1143        7426 :                          nlcc_present=nlcc_present)
    1144        7426 :       IF (lpot_present) THEN
    1145             :          CALL get_potential(gth_potential, &
    1146             :                             nexp_lpot=nexp_lpot, &
    1147             :                             alpha_lpot=alpha_lpot, &
    1148             :                             nct_lpot=nct_lpot, &
    1149           8 :                             cval_lpot=cval_lpot)
    1150           8 :          gth_atompot%lpotextended = .TRUE.
    1151           8 :          gth_atompot%nexp_lpot = nexp_lpot
    1152          20 :          gth_atompot%alpha_lpot(1:nexp_lpot) = SQRT(0.5_dp/alpha_lpot(1:nexp_lpot))
    1153          20 :          gth_atompot%nct_lpot(1:nexp_lpot) = nct_lpot(1:nexp_lpot)
    1154          20 :          DO j = 1, nexp_lpot
    1155          12 :             ac = alpha_lpot(j)
    1156          68 :             DO i = 1, 4
    1157          60 :                gth_atompot%cval_lpot(i, j) = cval_lpot(i, j)/(2._dp*ac)**(i - 1)
    1158             :             END DO
    1159             :          END DO
    1160             :       END IF
    1161        7426 :       IF (lsd_present) THEN
    1162             :          CALL get_potential(gth_potential, &
    1163             :                             nexp_lsd=nexp_lsd, &
    1164             :                             alpha_lsd=alpha_lsd, &
    1165             :                             nct_lsd=nct_lsd, &
    1166           0 :                             cval_lsd=cval_lsd)
    1167           0 :          gth_atompot%lsdpot = .TRUE.
    1168           0 :          gth_atompot%nexp_lsd = nexp_lsd
    1169           0 :          gth_atompot%alpha_lsd(1:nexp_lsd) = SQRT(0.5_dp/alpha_lsd(1:nexp_lsd))
    1170           0 :          gth_atompot%nct_lsd(1:nexp_lsd) = nct_lsd(1:nexp_lsd)
    1171           0 :          DO j = 1, nexp_lpot
    1172           0 :             ac = alpha_lsd(j)
    1173           0 :             DO i = 1, 4
    1174           0 :                gth_atompot%cval_lsd(i, j) = cval_lsd(i, j)/(2._dp*ac)**(i - 1)
    1175             :             END DO
    1176             :          END DO
    1177             :       END IF
    1178             : 
    1179             :       ! nonlocal part
    1180       51982 :       gth_atompot%nl(:) = 0
    1181       51982 :       gth_atompot%rcnl(:) = 0._dp
    1182      943102 :       gth_atompot%hnl(:, :, :) = 0._dp
    1183       15086 :       DO l = 0, lm
    1184        7660 :          n = nppnl(l)
    1185        7660 :          gth_atompot%nl(l) = n
    1186        7660 :          gth_atompot%rcnl(l) = SQRT(0.5_dp/ap(l))
    1187       27336 :          gth_atompot%hnl(1:n, 1:n, l) = hp(1:n, 1:n, l)
    1188             :       END DO
    1189             : 
    1190        7426 :       IF (nlcc_present) THEN
    1191             :          CALL get_potential(gth_potential, &
    1192             :                             nexp_nlcc=nexp_nlcc, &
    1193             :                             alpha_nlcc=alpha_nlcc, &
    1194             :                             nct_nlcc=nct_nlcc, &
    1195          18 :                             cval_nlcc=cval_nlcc)
    1196          18 :          gth_atompot%nlcc = .TRUE.
    1197          18 :          gth_atompot%nexp_nlcc = nexp_nlcc
    1198          36 :          gth_atompot%alpha_nlcc(1:nexp_nlcc) = alpha_nlcc(1:nexp_nlcc)
    1199          36 :          gth_atompot%nct_nlcc(1:nexp_nlcc) = nct_nlcc(1:nexp_nlcc)
    1200         108 :          gth_atompot%cval_nlcc(1:4, 1:nexp_nlcc) = cval_nlcc(1:4, 1:nexp_nlcc)
    1201             :       END IF
    1202             : 
    1203        7426 :    END SUBROUTINE gth_potential_conversion
    1204             : 
    1205             : ! **************************************************************************************************
    1206             : !> \brief ...
    1207             : !> \param sgp_potential ...
    1208             : !> \param sgp_atompot ...
    1209             : ! **************************************************************************************************
    1210          36 :    SUBROUTINE sgp_potential_conversion(sgp_potential, sgp_atompot)
    1211             :       TYPE(sgp_potential_type), POINTER                  :: sgp_potential
    1212             :       TYPE(atom_sgppot_type)                             :: sgp_atompot
    1213             : 
    1214             :       INTEGER                                            :: lm, n
    1215          12 :       INTEGER, DIMENSION(:), POINTER                     :: ppeconf
    1216             :       LOGICAL                                            :: nlcc_present
    1217             :       REAL(KIND=dp)                                      :: ac, zeff
    1218          12 :       REAL(KIND=dp), DIMENSION(:), POINTER               :: ap, ce
    1219          12 :       REAL(KIND=dp), DIMENSION(:, :), POINTER            :: hhp
    1220          12 :       REAL(KIND=dp), DIMENSION(:, :, :), POINTER         :: ccp
    1221             : 
    1222             :       CALL get_potential(sgp_potential, &
    1223             :                          name=sgp_atompot%pname, &
    1224             :                          zeff=zeff, &
    1225             :                          elec_conf=ppeconf, &
    1226          12 :                          alpha_core_charge=ac)
    1227          12 :       sgp_atompot%zion = zeff
    1228          12 :       sgp_atompot%ac_local = ac
    1229          60 :       sgp_atompot%econf(0:3) = ppeconf(0:3)
    1230             :       CALL get_potential(sgp_potential, lmax=lm, &
    1231             :                          is_nonlocal=sgp_atompot%is_nonlocal, &
    1232          12 :                          n_nonlocal=n, a_nonlocal=ap, h_nonlocal=hhp, c_nonlocal=ccp)
    1233             :       ! nonlocal
    1234          48 :       sgp_atompot%has_nonlocal = ANY(sgp_atompot%is_nonlocal)
    1235          12 :       sgp_atompot%lmax = lm
    1236          12 :       IF (sgp_atompot%has_nonlocal) THEN
    1237           6 :          CPASSERT(n <= SIZE(sgp_atompot%a_nonlocal))
    1238           6 :          sgp_atompot%n_nonlocal = n
    1239          54 :          sgp_atompot%a_nonlocal(1:n) = ap(1:n)
    1240          60 :          sgp_atompot%h_nonlocal(1:n, 0:lm) = hhp(1:n, 0:lm)
    1241         444 :          sgp_atompot%c_nonlocal(1:n, 1:n, 0:lm) = ccp(1:n, 1:n, 0:lm)
    1242             :       END IF
    1243             :       ! local
    1244          12 :       CALL get_potential(sgp_potential, n_local=n, a_local=ap, c_local=ce)
    1245          12 :       CPASSERT(n <= SIZE(sgp_atompot%a_local))
    1246          12 :       sgp_atompot%n_local = n
    1247         156 :       sgp_atompot%a_local(1:n) = ap(1:n)
    1248         156 :       sgp_atompot%c_local(1:n) = ce(1:n)
    1249             :       ! NLCC
    1250             :       CALL get_potential(sgp_potential, has_nlcc=nlcc_present, &
    1251          12 :                          n_nlcc=n, a_nlcc=ap, c_nlcc=ce)
    1252          12 :       IF (nlcc_present) THEN
    1253           0 :          sgp_atompot%has_nlcc = .TRUE.
    1254           0 :          CPASSERT(n <= SIZE(sgp_atompot%a_nlcc))
    1255           0 :          sgp_atompot%n_nlcc = n
    1256           0 :          sgp_atompot%a_nlcc(1:n) = ap(1:n)
    1257           0 :          sgp_atompot%c_nlcc(1:n) = ce(1:n)
    1258             :       ELSE
    1259          12 :          sgp_atompot%has_nlcc = .FALSE.
    1260             :       END IF
    1261             : 
    1262          12 :    END SUBROUTINE sgp_potential_conversion
    1263             : 
    1264             : ! **************************************************************************************************
    1265             : !> \brief ...
    1266             : !> \param sgp_potential ...
    1267             : !> \param ecp_atompot ...
    1268             : ! **************************************************************************************************
    1269          32 :    SUBROUTINE ecp_potential_conversion(sgp_potential, ecp_atompot)
    1270             :       TYPE(sgp_potential_type), POINTER                  :: sgp_potential
    1271             :       TYPE(atom_ecppot_type)                             :: ecp_atompot
    1272             : 
    1273          16 :       INTEGER, DIMENSION(:), POINTER                     :: ppeconf
    1274             :       LOGICAL                                            :: ecp_local, ecp_semi_local
    1275             :       REAL(KIND=dp)                                      :: zeff
    1276             : 
    1277          16 :       CALL get_potential(sgp_potential, ecp_local=ecp_local, ecp_semi_local=ecp_semi_local)
    1278          16 :       CPASSERT(ecp_semi_local .AND. ecp_local)
    1279             :       CALL get_potential(sgp_potential, &
    1280             :                          name=ecp_atompot%pname, &
    1281             :                          zeff=zeff, &
    1282          16 :                          elec_conf=ppeconf)
    1283          16 :       ecp_atompot%zion = zeff
    1284          80 :       ecp_atompot%econf(0:3) = ppeconf(0:3)
    1285          16 :       CALL get_potential(sgp_potential, lmax=ecp_atompot%lmax)
    1286             :       ! local
    1287             :       CALL get_potential(sgp_potential, nloc=ecp_atompot%nloc, nrloc=ecp_atompot%nrloc, &
    1288          16 :                          aloc=ecp_atompot%aloc, bloc=ecp_atompot%bloc)
    1289             :       ! nonlocal
    1290             :       CALL get_potential(sgp_potential, npot=ecp_atompot%npot, nrpot=ecp_atompot%nrpot, &
    1291          16 :                          apot=ecp_atompot%apot, bpot=ecp_atompot%bpot)
    1292             : 
    1293          16 :    END SUBROUTINE ecp_potential_conversion
    1294             : ! **************************************************************************************************
    1295             : 
    1296         156 : END MODULE atom_kind_orbitals

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