subroutine GHF(dotest,maxSCF,thresh,max_diis,guess_type,mix,level_shift,nNuc,ZNuc,rNuc,ENuc, & nBas,nBas2,nO,Ov,T,V,Hc,ERI,dipole_int,Or,EGHF,eHF,c,P) ! Perform unrestricted 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) :: 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 double precision,intent(in) :: Ov(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) :: Or(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 :: n_diis double precision :: Conv double precision :: rcond double precision :: ET,ETaa,ETbb double precision :: EV,EVaa,EVbb double precision :: EJ,EJaaaa,EJaabb,EJbbaa,EJbbbb double precision :: EK,EKaaaa,EKabba,EKbaab,EKbbbb double precision :: dipole(ncart) double precision,allocatable :: Jaa(:,:),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 :: H(:,:) double precision,allocatable :: S(:,:) double precision,allocatable :: X(:,:) 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) :: EGHF double precision,intent(out) :: eHF(nBas2) double precision,intent(inout):: C(nBas2,nBas2) double precision,intent(out) :: P(nBas2,nBas2) ! Hello world write(*,*) write(*,*)'****************************************' write(*,*)'* Generalized Hartree-Fock Calculation *' write(*,*)'****************************************' write(*,*) ! Useful stuff nBasSq = nBas *nBas nBas2Sq = nBas2*nBas2 ! Memory allocation allocate(Jaa(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),H(nBas2,nBas2), & S(nBas2,nBas2),X(nBas2,nBas2),err(nBas2,nBas2), & err_diis(nBas2Sq,max_diis),F_diis(nBas2Sq,max_diis)) ! Initialization nSCF = 0 Conv = 1d0 n_diis = 0 F_diis(:,:) = 0d0 err_diis(:,:) = 0d0 ! Construct super overlap matrix S( : , : ) = 0d0 S( 1:nBas , 1:nBas ) = Ov(1:nBas,1:nBas) S(nBas+1:nBas2,nBas+1:nBas2) = Ov(1:nBas,1:nBas) ! Construct super orthogonalization matrix X( : , : ) = 0d0 X( 1:nBas , 1:nBas ) = Or(1:nBas,1:nBas) X(nBas+1:nBas2,nBas+1:nBas2) = Or(1:nBas,1:nBas) ! Construct super orthogonalization matrix H( : , : ) = 0d0 H( 1:nBas , 1:nBas ) = Hc(1:nBas,1:nBas) H(nBas+1:nBas2,nBas+1:nBas2) = Hc(1:nBas,1:nBas) ! Guess coefficients and density matrices call mo_guess(nBas2,guess_type,S,H,X,C) ! Construct super density matrix P(:,:) = matmul(C(:,1:nO),transpose(C(:,1:nO))) Paa(:,:) = P( 1:nBas , 1:nBas ) Pab(:,:) = P( 1:nBas ,nBas+1:nBas2) Pba(:,:) = P(nBas+1:nBas2, 1:nBas ) Pbb(:,:) = P(nBas+1:nBas2,nBas+1:nBas2) !------------------------------------------------------------------------ ! 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(GHF)','|','EJ(GHF)','|','EK(GHF)','|','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,Pbb,ERI,Jbb) ! Compute individual exchange matrices call exchange_matrix_AO_basis(nBas,Paa,ERI,Kaa) call exchange_matrix_AO_basis(nBas,Pba,ERI,Kab) call exchange_matrix_AO_basis(nBas,Pab,ERI,Kba) call exchange_matrix_AO_basis(nBas,Pbb,ERI,Kbb) ! Build individual Fock matrices Faa(:,:) = Hc(:,:) + Jaa(:,:) + Jbb(:,:) + Kaa(:,:) Fab(:,:) = + Kab(:,:) Fba(:,:) = + Kba(:,:) Fbb(:,:) = Hc(:,:) + Jbb(:,:) + Jaa(:,:) + Kbb(:,:) ! Build super Fock matrix F( 1:nBas , 1:nBas ) = Faa(1:nBas,1:nBas) F( 1:nBas ,nBas+1:nBas2) = Fab(1:nBas,1:nBas) F(nBas+1:nBas2, 1:nBas ) = 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,nO,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,eHF) ! Back-transform eigenvectors in non-orthogonal basis C(:,:) = matmul(X,Cp) ! Mix guess for UHF solution in singlet states ! if(nSCF == 1) call mix_guess(nBas,nO,mix,c) ! Form super density matrix P(:,:) = matmul(C(:,1:nO),transpose(C(:,1:nO))) ! Compute individual density matrices Paa(:,:) = P( 1:nBas , 1:nBas ) Pab(:,:) = P( 1:nBas ,nBas+1:nBas2) Pba(:,:) = P(nBas+1:nBas2, 1:nBas ) Pbb(:,:) = P(nBas+1:nBas2,nBas+1:nBas2) !------------------------------------------------------------------------ ! Compute UHF energy !------------------------------------------------------------------------ ! Kinetic energy ETaa = trace_matrix(nBas,matmul(Paa,T)) ETbb = trace_matrix(nBas,matmul(Pbb,T)) ET = ETaa + ETbb ! Potential energy EVaa = trace_matrix(nBas,matmul(Paa,V)) EVbb = trace_matrix(nBas,matmul(Pbb,V)) EV = EVaa + EVbb ! Hartree energy EJaaaa = 0.5d0*trace_matrix(nBas,matmul(Paa,Jaa)) EJaabb = 0.5d0*trace_matrix(nBas,matmul(Paa,Jbb)) EJbbaa = 0.5d0*trace_matrix(nBas,matmul(Pbb,Jaa)) EJbbbb = 0.5d0*trace_matrix(nBas,matmul(Pbb,Jbb)) EJ = EJaaaa + EJaabb + EJbbaa + EJbbbb ! Exchange energy EKaaaa = 0.5d0*trace_matrix(nBas,matmul(Paa,Kaa)) EKabba = 0.5d0*trace_matrix(nBas,matmul(Pab,Kba)) EKbaab = 0.5d0*trace_matrix(nBas,matmul(Pba,Kab)) EKbbbb = 0.5d0*trace_matrix(nBas,matmul(Pbb,Kbb)) EK = EKaaaa + EKabba + EKbaab + EKbbbb ! Total energy EGHF = ET + EV + EJ + EK ! 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,F10.6,1X,A1,1X)') & '|',nSCF,'|',EGHF + ENuc,'|',EJ,'|',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 dipole moments call dipole_moment(nBas,P,nNuc,ZNuc,rNuc,dipole_int,dipole) ! Compute final GHF energy call print_GHF(nBas,nBas2,nO,eHF,C,P,ENuc,ET,EV,EJ,EK,EGHF,dipole) ! Print test values if(dotest) then call dump_test_value('G','GHF energy',EGHF) call dump_test_value('G','GHF HOMO energy',eHF(nO)) call dump_test_value('G','GHF LUMO energy',eHF(nO+1)) call dump_test_value('G','GHF dipole moment',norm2(dipole)) end if end subroutine