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mirror of https://github.com/pfloos/quack synced 2024-06-02 11:25:28 +02:00
quack/src/HF/GHF.f90
2023-10-26 09:35:48 +02:00

280 lines
8.3 KiB
Fortran

subroutine GHF(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nBas2,nO,S,T,V,Hc,ERI,dipole_int,X,EHF,e,c,P)
! Perform unrestricted Hartree-Fock calculation
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: maxSCF
integer,intent(in) :: max_diis
integer,intent(in) :: guess_type
double precision,intent(in) :: mix
double precision,intent(in) :: level_shift
double precision,intent(in) :: thresh
integer,intent(in) :: nBas
integer,intent(in) :: nBas2
integer,intent(in) :: nNuc
double precision,intent(in) :: ZNuc(nNuc)
double precision,intent(in) :: rNuc(nNuc,ncart)
double precision,intent(in) :: ENuc
integer,intent(in) :: nO(nspin)
double precision,intent(in) :: S(nBas,nBas)
double precision,intent(in) :: T(nBas,nBas)
double precision,intent(in) :: V(nBas,nBas)
double precision,intent(in) :: Hc(nBas,nBas)
double precision,intent(in) :: X(nBas,nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: dipole_int(nBas,nBas,ncart)
! Local variables
integer :: nSCF
integer :: nBasSq
integer :: nBas2Sq
integer :: nOa
integer :: nOb
integer :: n_diis
double precision :: Conv
double precision :: rcond
double precision :: ET(nspin)
double precision :: EV(nspin)
double precision :: EJ(nsp)
double precision :: Ex(nspin)
double precision :: dipole(ncart)
double precision,allocatable :: Caa(:,:),Cab(:,:),Cba(:,:),Cbb(:,:)
double precision,allocatable :: Jaa(:,:),Jab(:,:),Jba(:,:),Jbb(:,:)
double precision,allocatable :: Kaa(:,:),Kab(:,:),Kba(:,:),Kbb(:,:)
double precision,allocatable :: Faa(:,:),Fab(:,:),Fba(:,:),Fbb(:,:)
double precision,allocatable :: Paa(:,:),Pab(:,:),Pba(:,:),Pbb(:,:)
double precision,allocatable :: F(:,:)
double precision,allocatable :: Fp(:,:)
double precision,allocatable :: Cp(:,:)
double precision,allocatable :: err(:,:)
double precision,allocatable :: err_diis(:,:)
double precision,allocatable :: F_diis(:,:)
double precision,external :: trace_matrix
integer :: ispin
! Output variables
double precision,intent(out) :: EHF
double precision,intent(out) :: e(nBas2)
double precision,intent(out) :: C(nBas2,nBas2)
double precision,intent(out) :: P(nBas2,nBas2)
! Hello world
write(*,*)
write(*,*)'************************************************'
write(*,*)'* Unrestricted Hartree-Fock calculation *'
write(*,*)'************************************************'
write(*,*)
! Useful stuff
nBasSq = nBas*nBas
nBas2Sq = nBas2*nBas2
nOa = nO(1)
nOb = nO(2)
! Memory allocation
allocate(Caa(nBas,nBas),Cab(nBas,nBas),Cba(nBas,nBas),Cbb(nBas,nBas), &
Jaa(nBas,nBas),Jab(nBas,nBas),Jba(nBas,nBas),Jbb(nBas,nBas), &
Kaa(nBas,nBas),Kab(nBas,nBas),Kba(nBas,nBas),Kbb(nBas,nBas), &
Faa(nBas,nBas),Fab(nBas,nBas),Fba(nBas,nBas),Fbb(nBas,nBas), &
Paa(nBas,nBas),Pab(nBas,nBas),Pba(nBas,nBas),Pbb(nBas,nBas), &
F(nBas2,nBas2),Fp(nBas2,nBas2),Cp(nBas2,nBas2),err(nBas2,nBas2), &
err_diis(nBas2Sq,max_diis),F_diis(nBas2Sq,max_diis))
! Guess coefficients and demsity matrices
! do ispin=1,nspin
! call mo_guess(nBas,guess_type,S,Hc,X,c(:,:,ispin))
! P(:,:,ispin) = matmul(c(:,1:nO(ispin),ispin),transpose(c(:,1:nO(ispin),ispin)))
! end do
! Initialization
nSCF = 0
Conv = 1d0
n_diis = 0
F_diis(:,:) = 0d0
err_diis(:,:) = 0d0
! Construct super overlap matrix
! TO DO
! Construct super orthogonalization matrix
! TO DO
!------------------------------------------------------------------------
! Main SCF loop
!------------------------------------------------------------------------
write(*,*)
write(*,*)'----------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A16,1X,A1,1X,A16,1X,A1,1X,A10,1X,A1,1X)') &
'|','#','|','E(UHF)','|','Ex(UHF)','|','Conv','|'
write(*,*)'----------------------------------------------------------'
do while(Conv > thresh .and. nSCF < maxSCF)
! Increment
nSCF = nSCF + 1
! Build individual Hartree matrices
call Hartree_matrix_AO_basis(nBas,Paa,ERI,Jaa)
call Hartree_matrix_AO_basis(nBas,Pab,ERI,Jab)
call Hartree_matrix_AO_basis(nBas,Pba,ERI,Jba)
call Hartree_matrix_AO_basis(nBas,Pbb,ERI,Jbb)
! Compute individual exchange matrices
call exchange_matrix_AO_basis(nBas,Paa,ERI,Kaa)
call exchange_matrix_AO_basis(nBas,Pab,ERI,Kab)
call exchange_matrix_AO_basis(nBas,Pba,ERI,Kba)
call exchange_matrix_AO_basis(nBas,Pbb,ERI,Kbb)
! Build individual Fock matrices
Faa(:,:) = Hc(:,:) + Jaa(:,:) + Jab(:,:) + Kaa(:,:)
Fab(:,:) = Hc(:,:) + Jab(:,:) + Jba(:,:) + Kab(:,:)
Fba(:,:) = Hc(:,:) + Jba(:,:) + Jab(:,:) + Kba(:,:)
Fbb(:,:) = Hc(:,:) + Jbb(:,:) + Jba(:,:) + Kbb(:,:)
! Build super Fock matrix
F( 1:nBas , 1:nBas ) = Faa(1:nBas,1:nBas)
F(nBas+1:nBas2, 1:nBas ) = Fab(1:nBas,1:nBas)
F( 1:nBas ,nBas+1:nBas2) = Fba(1:nBas,1:nBas)
F(nBas+1:nBas2,nBas+1:nBas2) = Fbb(1:nBas,1:nBas)
! Check convergence
! err(:,:) = matmul(F(:,:),matmul(P(:,:),S(:,:))) - matmul(matmul(S(:,:),P(:,:)),F(:,:))
! if(nSCF > 1) conv = maxval(abs(err(:,:)))
! DIIS extrapolation
! if(max_diis > 1) then
n_diis = min(n_diis+1,max_diis)
call DIIS_extrapolation(rcond,nBas2Sq,nBas2Sq,n_diis,err_diis(:,1:n_diis),F_diis(:,1:n_diis),err,F)
! end if
! Level-shifting
if(level_shift > 0d0 .and. Conv > thresh) then
call level_shifting(level_shift,nBas,nOa+nOb,S,C,F)
end if
! Transform Fock matrix in orthogonal basis
Fp(:,:) = matmul(transpose(X),matmul(F,X))
! Diagonalize Fock matrix to get eigenvectors and eigenvalues
Cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas2,Cp,e)
! Back-transform eigenvectors in non-orthogonal basis
C(:,:) = matmul(X,Cp)
! Form individual coefficient matrices
! TO DO
! Mix guess for UHF solution in singlet states
! if(nSCF == 1) call mix_guess(nBas,nO,mix,c)
! Compute individual density matrices
Paa(:,:) = matmul(Caa(:,1:nOa),transpose(Caa(:,1:nOa)))
Pab(:,:) = matmul(Cab(:,1:nOb),transpose(Cab(:,1:nOb)))
Pba(:,:) = matmul(Cba(:,1:nOa),transpose(Cba(:,1:nOa)))
Pbb(:,:) = matmul(Cbb(:,1:nOb),transpose(Cbb(:,1:nOb)))
!------------------------------------------------------------------------
! Compute UHF energy
!------------------------------------------------------------------------
! Kinetic energy
! do ispin=1,nspin
! ET(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),T(:,:)))
! end do
! Potential energy
! do ispin=1,nspin
! EV(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),V(:,:)))
! end do
! Hartree energy
! EJ(1) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,1),J(:,:,1)))
! EJ(2) = trace_matrix(nBas,matmul(P(:,:,1),J(:,:,2)))
! EJ(3) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,2),J(:,:,2)))
! Exchange energy
! do ispin=1,nspin
! Ex(ispin) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,ispin),K(:,:,ispin)))
! end do
! Total energy
! EHF = sum(ET(:)) + sum(EV(:)) + sum(EJ(:)) + sum(Ex(:))
! Dump results
! write(*,'(1X,A1,1X,I3,1X,A1,1X,F16.10,1X,A1,1X,F16.10,1X,A1,1X,F10.6,1X,A1,1X)') &
! '|',nSCF,'|',EHF + ENuc,'|',sum(Ex(:)),'|',conv,'|'
end do
write(*,*)'----------------------------------------------------------'
!------------------------------------------------------------------------
! End of SCF loop
!------------------------------------------------------------------------
! Did it actually converge?
if(nSCF == maxSCF) then
write(*,*)
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)' Convergence failed '
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)
stop
end if
! Compute final UHF energy
! call dipole_moment(nBas,P(:,:,1)+P(:,:,2),nNuc,ZNuc,rNuc,dipole_int,dipole)
! call print_GHF(nBas,nO,S,e,c,ENuc,ET,EV,EJ,Ex,EHF,dipole)
end subroutine