quack/src/HF/ROHF.f90

252 lines
6.9 KiB
Fortran

subroutine ROHF(dotest,maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, &
nBas,nO,S,T,V,Hc,ERI,dipole_int,X,EROHF,eHF,c,Ptot)
! Perform restricted open-shell Hartree-Fock calculation
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: dotest
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) :: 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 :: n_diis
double precision :: Conv
double precision :: rcond
double precision :: ET(nspin)
double precision :: EV(nspin)
double precision :: EJ(nsp)
double precision :: EK(nspin)
double precision :: dipole(ncart)
double precision,allocatable :: cp(:,:)
double precision,allocatable :: J(:,:,:)
double precision,allocatable :: F(:,:,:)
double precision,allocatable :: Fp(:,:)
double precision,allocatable :: Ftot(:,:)
double precision,allocatable :: P(:,:,:)
double precision,allocatable :: K(:,:,:)
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) :: EROHF
double precision,intent(out) :: eHF(nBas)
double precision,intent(inout):: c(nBas,nBas)
double precision,intent(out) :: Ptot(nBas,nBas)
! Hello world
write(*,*)
write(*,*)'****************************************'
write(*,*)'* Restricted Open-Shell HF Calculation *'
write(*,*)'****************************************'
write(*,*)
! Useful stuff
nBasSq = nBas*nBas
! Memory allocation
allocate(J(nBas,nBas,nspin),F(nBas,nBas,nspin),Fp(nBas,nBas),Ftot(nBas,nBas), &
P(nBas,nBas,nspin),K(nBas,nBas,nspin),err(nBas,nBas),cp(nBas,nBas), &
err_diis(nBasSq,max_diis),F_diis(nBasSq,max_diis))
! Guess coefficients and demsity matrices
call mo_guess(nBas,guess_type,S,Hc,X,c)
do ispin=1,nspin
P(:,:,ispin) = matmul(c(:,1:nO(ispin)),transpose(c(:,1:nO(ispin))))
end do
Ptot(:,:) = P(:,:,1) + P(:,:,2)
! Initialization
n_diis = 0
F_diis(:,:) = 0d0
err_diis(:,:) = 0d0
rcond = 0d0
nSCF = 0
Conv = 1d0
!------------------------------------------------------------------------
! Main SCF loop
!------------------------------------------------------------------------
write(*,*)
write(*,*)'-----------------------------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A16,1X,A1,1X,A16,1X,A1,1X,A16,1X,A1,1X,A10,1X,A1,1X)') &
'|','#','|','E(ROHF)','|','EJ(ROHF)','|','EK(ROHF)','|','Conv','|'
write(*,*)'-----------------------------------------------------------------------------'
do while(Conv > thresh .and. nSCF < maxSCF)
! Increment
nSCF = nSCF + 1
! Build Hartree repulsion
do ispin=1,nspin
call Hartree_matrix_AO_basis(nBas,P(:,:,ispin),ERI(:,:,:,:),J(:,:,ispin))
end do
! Compute exchange potential
do ispin=1,nspin
call exchange_matrix_AO_basis(nBas,P(:,:,ispin),ERI(:,:,:,:),K(:,:,ispin))
end do
! Build Fock operator
do ispin=1,nspin
F(:,:,ispin) = Hc(:,:) + J(:,:,ispin) + J(:,:,mod(ispin,2)+1) + K(:,:,ispin)
end do
call ROHF_fock_matrix(nBas,nO(1),nO(2),S,c,F(:,:,1),F(:,:,2),Ftot)
! Check convergence
err(:,:) = matmul(Ftot,matmul(Ptot,S)) - matmul(matmul(S,Ptot),Ftot)
if(nSCF > 1) Conv = maxval(abs(err(:,:)))
! 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
EK(ispin) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,ispin),K(:,:,ispin)))
end do
! Total energy
EROHF = sum(ET) + sum(EV) + sum(EJ) + sum(EK)
! DIIS extrapolation
if(max_diis > 1) then
n_diis = min(n_diis+1,max_diis)
call DIIS_extrapolation(rcond,nBasSq,nBasSq,n_diis,err_diis,F_diis,err,Ftot)
end if
! Level-shifting
if(level_shift > 0d0 .and. Conv > thresh) then
do ispin=1,nspin
call level_shifting(level_shift,nBas,maxval(nO),S,c,Ftot)
end do
end if
! Transform Fock matrix in orthogonal basis
Fp(:,:) = matmul(transpose(X(:,:)),matmul(Ftot(:,:),X(:,:)))
! Diagonalize Fock matrix to get eigenvectors and eigenvalues
cp(:,:) = Fp(:,:)
call diagonalize_matrix(nBas,cp,eHF)
! Back-transform eigenvectors in non-orthogonal basis
c(:,:) = matmul(X(:,:),cp(:,:))
! Compute density matrix
do ispin=1,nspin
P(:,:,ispin) = matmul(c(:,1:nO(ispin)),transpose(c(:,1:nO(ispin))))
end do
Ptot(:,:) = P(:,:,1) + P(:,:,2)
! Dump results
write(*,'(1X,A1,1X,I3,1X,A1,1X,F16.10,1X,A1,1X,F16.10,1X,A1,1X,F16.10,1X,A1,1X,E10.2,1X,A1,1X)') &
'|',nSCF,'|',EROHF + ENuc,'|',sum(EJ),'|',sum(EK),'|',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,Ptot,nNuc,ZNuc,rNuc,dipole_int,dipole)
call print_ROHF(nBas,nO,eHF,c,ENuc,ET,EV,EJ,EK,EROHF,dipole)
! Print test values
if(dotest) then
call dump_test_value('R','ROHF energy',EROHF)
end if
end subroutine