subroutine unrestricted_individual_energy(x_rung,x_DFA,c_rung,c_DFA,LDA_centered,nEns,wEns,aCC_w1,aCC_w2,nGrid,weight,nBas,AO,dAO, & T,V,ERI,ENuc,eps,Pw,rhow,drhow,J,Fx,FxHF,Fc,P,rho,drho,Ew,E,Om,occnum,& Cx_choice,doNcentered) ! Compute unrestricted individual energies as well as excitation energies implicit none include 'parameters.h' ! Input variables integer,intent(in) :: x_rung,c_rung character(len=12),intent(in) :: x_DFA,c_DFA logical,intent(in) :: LDA_centered integer,intent(in) :: nEns double precision,intent(in) :: wEns(nEns) double precision,intent(in) :: aCC_w1(3) double precision,intent(in) :: aCC_w2(3) integer,intent(in) :: nGrid double precision,intent(in) :: weight(nGrid) integer,intent(in) :: nBas double precision,intent(in) :: AO(nBas,nGrid) double precision,intent(in) :: dAO(ncart,nBas,nGrid) double precision,intent(in) :: T(nBas,nBas) double precision,intent(in) :: V(nBas,nBas) double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas) double precision,intent(in) :: ENuc double precision,intent(in) :: eps(nBas,nspin) double precision,intent(in) :: Pw(nBas,nBas,nspin) double precision,intent(in) :: rhow(nGrid,nspin) double precision,intent(in) :: drhow(ncart,nGrid,nspin) double precision,intent(in) :: P(nBas,nBas,nspin,nEns) double precision,intent(in) :: rho(nGrid,nspin,nEns) double precision,intent(in) :: drho(ncart,nGrid,nspin,nEns) double precision,intent(in) :: J(nBas,nBas,nspin) double precision,intent(in) :: Fx(nBas,nBas,nspin) double precision,intent(in) :: FxHF(nBas,nBas,nspin) double precision,intent(in) :: Fc(nBas,nBas,nspin) double precision :: Ew double precision,intent(in) :: occnum(nBas,nspin,nEns) integer,intent(in) :: Cx_choice logical,intent(in) :: doNcentered ! Local variables double precision :: ET(nspin,nEns) double precision :: EV(nspin,nEns) double precision :: EJ(nsp,nEns) double precision :: Ex(nspin,nEns) double precision :: Ec(nsp,nEns) double precision :: Exc(nEns) double precision :: Eaux(nspin,nEns) double precision :: ExDD(nspin,nEns) double precision :: EcDD(nsp,nEns) double precision :: ExcDD(nsp,nEns) double precision :: Omx(nEns),Omc(nEns),Omxc(nEns) double precision :: Omaux(nEns) double precision :: OmxDD(nEns),OmcDD(nEns),OmxcDD(nEns) double precision,external :: trace_matrix integer :: ispin,iEns,iBas double precision,allocatable :: nEl(:) double precision,allocatable :: kappa(:) double precision,external :: electron_number ! Output variables double precision,intent(out) :: E(nEns) double precision,intent(out) :: Om(nEns) allocate(nEl(nEns),kappa(nEns)) nEl(:) = 0d0 do iEns=1,nEns do iBas=1,nBas do ispin=1,nspin nEl(iEns) = nEl(iEns) + occnum(iBas,ispin,iEns) end do end do kappa(iEns) = nEl(iEns)/nEl(1) end do !------------------------------------------------------------------------ ! Kinetic energy !------------------------------------------------------------------------ do ispin=1,nspin do iEns=1,nEns if (doNcentered) then ET(ispin,iEns) = kappa(iEns)*trace_matrix(nBas,matmul(P(:,:,ispin,iEns),T(:,:))) else ET(ispin,iEns) = trace_matrix(nBas,matmul(P(:,:,ispin,iEns),T(:,:))) end if end do end do !------------------------------------------------------------------------ ! Potential energy !------------------------------------------------------------------------ do iEns=1,nEns do ispin=1,nspin if (doNcentered) then EV(ispin,iEns) = kappa(iEns)*trace_matrix(nBas,matmul(P(:,:,ispin,iEns),V(:,:))) else EV(ispin,iEns) = trace_matrix(nBas,matmul(P(:,:,ispin,iEns),V(:,:))) end if end do end do !------------------------------------------------------------------------ ! Individual Hartree energy !------------------------------------------------------------------------ do iEns=1,nEns do ispin=1,nspin call hartree_coulomb(nBas,Pw(:,:,ispin),ERI,J(:,:,ispin)) end do EJ(1,iEns) = trace_matrix(nBas,matmul(P(:,:,1,iEns),J(:,:,1))) & - 0.5d0*trace_matrix(nBas,matmul(Pw(:,:,1),J(:,:,1))) EJ(2,iEns) = trace_matrix(nBas,matmul(P(:,:,1,iEns),J(:,:,2))) & + trace_matrix(nBas,matmul(P(:,:,2,iEns),J(:,:,1))) & - 0.5d0*trace_matrix(nBas,matmul(Pw(:,:,1),J(:,:,2))) & - 0.5d0*trace_matrix(nBas,matmul(Pw(:,:,2),J(:,:,1))) EJ(3,iEns) = trace_matrix(nBas,matmul(P(:,:,2,iEns),J(:,:,2))) & - 0.5d0*trace_matrix(nBas,matmul(Pw(:,:,2),J(:,:,2))) if(doNcentered) EJ(:,iEns) = kappa(iEns)*EJ(:,iEns) end do !------------------------------------------------------------------------ ! Checking Hartree contributions for each individual states !------------------------------------------------------------------------ ! print*,'Hartree contributions for each individual states' ! print*,'' ! print*,'' ! print*,'EJ(aa,1)=',EJ(1,1),'EJ(ab,1)=',EJ(2,1),'EJ(bb,1)=',EJ(3,1) ! print*,'' ! print*,'EJ(aa,2)=',EJ(1,2),'EJ(ab,2)=',EJ(2,2),'EJ(bb,2)=',EJ(3,2) ! print*,'' ! print*,'EJ(aa,3)=',EJ(1,3),'EJ(ab,3)=',EJ(2,3),'EJ(bb,3)=',EJ(3,3) ! print*,'' !------------------------------------------------------------------------ ! Individual exchange energy !------------------------------------------------------------------------ do iEns=1,nEns do ispin=1,nspin call unrestricted_exchange_individual_energy(x_rung,x_DFA,LDA_centered,nEns,wEns,aCC_w1,aCC_w2,nGrid,weight,nBas,ERI, & Pw(:,:,ispin),P(:,:,ispin,iEns),rhow(:,ispin),drhow(:,:,ispin), & rho(:,ispin,iEns),drho(:,:,ispin,iEns),Cx_choice,doNcentered,kappa(iEns), & Ex(ispin,iEns)) end do end do !------------------------------------------------------------------------ ! Checking exchange contributions for each individual states !------------------------------------------------------------------------ ! print*,'' ! print*,'' ! print*,'Exchange contributions for each individual states' ! print*,'' ! print*,'' ! print*,'Ex(aa,1) =' ,Ex(1,1),'Ex(bb,1) =' ,Ex(2,1) ! print*,'' ! print*,'Ex(aa,2) =' ,Ex(1,2),'Ex(bb,2) =' ,Ex(2,2) ! print*,'' ! print*,'Ex(aa,3) =' ,Ex(1,3),'Ex(bb,3) =' ,Ex(2,3) !------------------------------------------------------------------------ ! Checking number of alpha and beta electrons for each individual states !------------------------------------------------------------------------ ! print*,'' ! print*,'' ! print*,'Checking number of alpha and beta electrons for each individual states' ! print*,'' ! print*,'' ! print*,'nEl(a,1) = ',electron_number(nGrid,weight,rho(:,1,1)),'nEl(b,1) = ',electron_number(nGrid,weight,rho(:,2,1)) ! print*,'' ! print*,'nEl(a,2) = ',electron_number(nGrid,weight,rho(:,1,2)),'nEl(b,2) = ',electron_number(nGrid,weight,rho(:,2,2)) ! print*,'' ! print*,'nEl(a,3) = ',electron_number(nGrid,weight,rho(:,1,3)),'nEl(b,3) = ',electron_number(nGrid,weight,rho(:,2,3)) !------------------------------------------------------------------------ ! Individual correlation energy !------------------------------------------------------------------------ do iEns=1,nEns call unrestricted_correlation_individual_energy(c_rung,c_DFA,LDA_centered,nEns,wEns,nGrid,weight, & rhow,drhow,rho(:,:,iEns),drho(:,:,:,iEns),Ec(:,iEns)) end do !------------------------------------------------------------------------ ! Compute auxiliary energies !------------------------------------------------------------------------ call unrestricted_auxiliary_energy(nBas,nEns,eps,occnum,doNcentered,Eaux) !------------------------------------------------------------------------ ! Compute derivative discontinuities !------------------------------------------------------------------------ do ispin=1,nspin call unrestricted_exchange_derivative_discontinuity(x_rung,x_DFA,nEns,wEns,aCC_w1,aCC_w2,nGrid,weight, & rhow(:,ispin),drhow(:,:,ispin),Cx_choice,doNcentered,kappa,ExDD(ispin,:)) end do call unrestricted_correlation_derivative_discontinuity(c_rung,c_DFA,nEns,wEns,nGrid,weight,rhow,drhow,EcDD) ExcDD(1,:) = ExDD(1,:) + EcDD(1,:) ExcDD(2,:) = EcDD(2,:) ExcDD(3,:) = ExDD(2,:) + EcDD(3,:) !------------------------------------------------------------------------ ! Total energy !------------------------------------------------------------------------ do iEns=1,nEns Exc(iEns) = sum(Ex(:,iEns)) + sum(Ec(:,iEns)) E(iEns) = sum(ET(:,iEns)) + sum(EV(:,iEns)) + sum(EJ(:,iEns)) & + sum(Ex(:,iEns)) + sum(Ec(:,iEns)) + sum(ExcDD(:,iEns)) end do !------------------------------------------------------------------------ ! Excitation energies !------------------------------------------------------------------------ do iEns=1,nEns Om(iEns) = E(iEns) - E(1) Omx(iEns) = sum(Ex(:,iEns)) - sum(Ex(:,1)) Omc(iEns) = sum(Ec(:,iEns)) - sum(Ec(:,1)) Omxc(iEns) = Exc(iEns) - Exc(1) Omaux(iEns) = sum(Eaux(:,iEns)) - sum(Eaux(:,1)) OmxDD(iEns) = sum(ExDD(:,iEns)) - sum(ExDD(:,1)) OmcDD(iEns) = sum(EcDD(:,iEns)) - sum(EcDD(:,1)) OmxcDD(iEns) = sum(ExcDD(:,iEns)) - sum(ExcDD(:,1)) end do !------------------------------------------------------------------------ ! Dump results !------------------------------------------------------------------------ call print_unrestricted_individual_energy(nEns,ENuc,Ew,ET,EV,EJ,Ex,Ec,Exc,Eaux,ExDD,EcDD,ExcDD,E, & Om,Omx,Omc,Omxc,Omaux,OmxDD,OmcDD,OmxcDD) end subroutine unrestricted_individual_energy