subroutine ROHF(maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, & nBas,nO,S,T,V,Hc,ERI,dipole_int,X,EHF,e,c,P) ! Perform restricted open-shell Hartree-Fock calculation implicit none include 'parameters.h' ! Input variables integer,intent(in) :: maxSCF integer,intent(in) :: max_diis integer,intent(in) :: guess_type logical,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 :: Ex(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 :: Ptot(:,:) 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) :: EHF double precision,intent(out) :: e(nBas) double precision,intent(out) :: c(nBas,nBas) double precision,intent(out) :: P(nBas,nBas,nspin) ! Hello world write(*,*) write(*,*)'************************************************' write(*,*)'* Restricted Open-Shell Hartree-Fock *' write(*,*)'************************************************' write(*,*) ! Useful stuff nBasSq = nBas*nBas ! Memory allocation allocate(J(nBas,nBas,nspin),F(nBas,nBas,nspin),Fp(nBas,nBas),Ftot(nBas,nBas), & Ptot(nBas,nBas),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 ! 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,A10,1X,A1,1X)') & '|','#','|','E(ROHF)','|','Ex(ROHF)','|','Conv','|' write(*,*)'----------------------------------------------------------' do while(conv > thresh .and. nSCF < maxSCF) ! Increment nSCF = nSCF + 1 ! Build Coulomb repulsion do ispin=1,nspin call Coulomb_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(:,:))) ! 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(:,1:n_diis),F_diis(:,1:n_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,e) ! 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) !------------------------------------------------------------------------ ! Compute ROHF 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 ! Coulomb 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,Ptot,nNuc,ZNuc,rNuc,dipole_int,dipole) call print_ROHF(nBas,nO,e,c,ENuc,ET,EV,EJ,Ex,EHF,dipole) end subroutine