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qp2/src/scf_utils/fock_matrix.irp.f
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Fortran

BEGIN_PROVIDER [ double precision, Fock_matrix_mo, (mo_num,mo_num) ]
&BEGIN_PROVIDER [ double precision, Fock_matrix_diag_mo, (mo_num)]
implicit none
BEGIN_DOC
! Fock matrix on the MO basis.
! For open shells, the ROHF Fock Matrix is ::
!
! | Rcc | F^b | Fcv |
! |-----------------------|
! | F^b | Roo | F^a |
! |-----------------------|
! | Fcv | F^a | Rvv |
!
! C: Core, O: Open, V: Virtual
!
! Rcc = Acc Fcc^a + Bcc Fcc^b
! Roo = Aoo Foo^a + Boo Foo^b
! Rvv = Avv Fvv^a + Bvv Fvv^b
! Fcv = (F^a + F^b)/2
!
! F^a: Fock matrix alpha (MO), F^b: Fock matrix beta (MO)
! A,B: Coupling parameters
!
! J. Chem. Phys. 133, 141102 (2010), https://doi.org/10.1063/1.3503173
! Coupling parameters from J. Chem. Phys. 125, 204110 (2006); https://doi.org/10.1063/1.2393223.
! cc oo vv
! A -0.5 0.5 1.5
! B 1.5 0.5 -0.5
!
END_DOC
integer :: i,j,n
if (all_shells_closed) then
Fock_matrix_mo = Fock_matrix_mo_alpha
else
! Core
do j = 1, elec_beta_num
! Core
do i = 1, elec_beta_num
fock_matrix_mo(i,j) = - 0.5d0 * fock_matrix_mo_alpha(i,j) &
+ 1.5d0 * fock_matrix_mo_beta(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
fock_matrix_mo(i,j) = fock_matrix_mo_beta(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
fock_matrix_mo(i,j) = 0.5d0 * fock_matrix_mo_alpha(i,j) &
+ 0.5d0 * fock_matrix_mo_beta(i,j)
enddo
enddo
! Open
do j = elec_beta_num+1, elec_alpha_num
! Core
do i = 1, elec_beta_num
fock_matrix_mo(i,j) = fock_matrix_mo_beta(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
fock_matrix_mo(i,j) = 0.5d0 * fock_matrix_mo_alpha(i,j) &
+ 0.5d0 * fock_matrix_mo_beta(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
fock_matrix_mo(i,j) = fock_matrix_mo_alpha(i,j)
enddo
enddo
! Virtual
do j = elec_alpha_num+1, mo_num
! Core
do i = 1, elec_beta_num
fock_matrix_mo(i,j) = 0.5d0 * fock_matrix_mo_alpha(i,j) &
+ 0.5d0 * fock_matrix_mo_beta(i,j)
enddo
! Open
do i = elec_beta_num+1, elec_alpha_num
fock_matrix_mo(i,j) = fock_matrix_mo_alpha(i,j)
enddo
! Virtual
do i = elec_alpha_num+1, mo_num
fock_matrix_mo(i,j) = 1.5d0 * fock_matrix_mo_alpha(i,j) &
- 0.5d0 * fock_matrix_mo_beta(i,j)
enddo
enddo
endif
! Old
! BEGIN_DOC
! Fock matrix on the MO basis.
! For open shells, the ROHF Fock Matrix is ::
!
! | F-K | F + K/2 | F |
! |---------------------------------|
! | F + K/2 | F | F - K/2 |
! |---------------------------------|
! | F | F - K/2 | F + K |
!
!
! F = 1/2 (Fa + Fb)
!
! K = Fb - Fa
!
! END_DOC
!integer :: i,j,n
!if (all_shells_closed) then
! Fock_matrix_mo = Fock_matrix_mo_alpha
!else
! do j=1,elec_beta_num
! ! F-K
! do i=1,elec_beta_num !CC
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))&
! - (Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! ! F+K/2
! do i=elec_beta_num+1,elec_alpha_num !CA
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))&
! + 0.5d0*(Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! ! F
! do i=elec_alpha_num+1, mo_num !CV
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))
! enddo
! enddo
! do j=elec_beta_num+1,elec_alpha_num
! ! F+K/2
! do i=1,elec_beta_num !AC
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))&
! + 0.5d0*(Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! ! F
! do i=elec_beta_num+1,elec_alpha_num !AA
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))
! enddo
! ! F-K/2
! do i=elec_alpha_num+1, mo_num !AV
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))&
! - 0.5d0*(Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! enddo
! do j=elec_alpha_num+1, mo_num
! ! F
! do i=1,elec_beta_num !VC
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))
! enddo
! ! F-K/2
! do i=elec_beta_num+1,elec_alpha_num !VA
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j))&
! - 0.5d0*(Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! ! F+K
! do i=elec_alpha_num+1,mo_num !VV
! Fock_matrix_mo(i,j) = 0.5d0*(Fock_matrix_mo_alpha(i,j)+Fock_matrix_mo_beta(i,j)) &
! + (Fock_matrix_mo_beta(i,j) - Fock_matrix_mo_alpha(i,j))
! enddo
! enddo
!endif
do i = 1, mo_num
Fock_matrix_diag_mo(i) = Fock_matrix_mo(i,i)
enddo
if(frozen_orb_scf)then
integer :: iorb,jorb
! active|core|active
!active | | 0 |
!core | 0 | | 0
!active | | 0 |
do i = 1, n_core_orb
iorb = list_core(i)
do j = 1, n_act_orb
jorb = list_act(j)
Fock_matrix_mo(iorb,jorb) = 0.d0
Fock_matrix_mo(jorb,iorb) = 0.d0
enddo
enddo
endif
if(no_oa_or_av_opt)then
do i = 1, n_act_orb
iorb = list_act(i)
do j = 1, n_inact_orb
jorb = list_inact(j)
Fock_matrix_mo(iorb,jorb) = 0.d0
Fock_matrix_mo(jorb,iorb) = 0.d0
enddo
do j = 1, n_virt_orb
jorb = list_virt(j)
Fock_matrix_mo(iorb,jorb) = 0.d0
Fock_matrix_mo(jorb,iorb) = 0.d0
enddo
do j = 1, n_core_orb
jorb = list_core(j)
Fock_matrix_mo(iorb,jorb) = 0.d0
Fock_matrix_mo(jorb,iorb) = 0.d0
enddo
enddo
endif
END_PROVIDER
BEGIN_PROVIDER [ double precision, Fock_matrix_mo_alpha, (mo_num,mo_num) ]
implicit none
BEGIN_DOC
! Fock matrix on the MO basis
END_DOC
call ao_to_mo(Fock_matrix_ao_alpha,size(Fock_matrix_ao_alpha,1), &
Fock_matrix_mo_alpha,size(Fock_matrix_mo_alpha,1))
END_PROVIDER
BEGIN_PROVIDER [ double precision, Fock_matrix_mo_beta, (mo_num,mo_num) ]
implicit none
BEGIN_DOC
! Fock matrix on the MO basis
END_DOC
call ao_to_mo(Fock_matrix_ao_beta,size(Fock_matrix_ao_beta,1), &
Fock_matrix_mo_beta,size(Fock_matrix_mo_beta,1))
END_PROVIDER
BEGIN_PROVIDER [ double precision, Fock_matrix_ao, (ao_num, ao_num) ]
implicit none
BEGIN_DOC
! Fock matrix in AO basis set
END_DOC
if(frozen_orb_scf)then
call mo_to_ao(Fock_matrix_mo,size(Fock_matrix_mo,1), &
Fock_matrix_ao,size(Fock_matrix_ao,1))
else
if (all_shells_closed.and. (level_shift == 0.)) then
integer :: i,j
do j=1,ao_num
do i=1,ao_num
Fock_matrix_ao(i,j) = Fock_matrix_ao_alpha(i,j)
enddo
enddo
else
call mo_to_ao(Fock_matrix_mo,size(Fock_matrix_mo,1), &
Fock_matrix_ao,size(Fock_matrix_ao,1))
endif
endif
END_PROVIDER
BEGIN_PROVIDER [ double precision, SCF_energy ]
implicit none
BEGIN_DOC
! Hartree-Fock energy
END_DOC
SCF_energy = nuclear_repulsion
integer :: i,j
do j=1,ao_num
do i=1,ao_num
SCF_energy += 0.5d0 * ( &
(ao_one_e_integrals(i,j) + Fock_matrix_ao_alpha(i,j) ) * SCF_density_matrix_ao_alpha(i,j) +&
(ao_one_e_integrals(i,j) + Fock_matrix_ao_beta (i,j) ) * SCF_density_matrix_ao_beta (i,j) )
enddo
enddo
SCF_energy += extra_e_contrib_density
END_PROVIDER