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QuAcK/src/eDFT/restricted_individual_energy.f90

162 lines
5.9 KiB
Fortran

subroutine restricted_individual_energy(x_rung,x_DFA,c_rung,c_DFA,LDA_centered,nEns,wEns,aCC_w1,aCC_w2,nGrid,weight,nBas, &
nO,nV,T,V,ERI,ENuc,eps,Pw,rhow,drhow,J,P,rho,drho,Ew,E,Om)
! Compute 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
integer,intent(in) :: nO
integer,intent(in) :: nV
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)
double precision,intent(in) :: Pw(nBas,nBas)
double precision,intent(in) :: rhow(nGrid)
double precision,intent(in) :: drhow(ncart,nGrid)
double precision,intent(in) :: P(nBas,nBas,nEns)
double precision,intent(in) :: rho(nGrid,nEns)
double precision,intent(in) :: drho(ncart,nGrid,nEns)
double precision,intent(in) :: J(nBas,nBas)
double precision :: Ew
! Local variables
double precision :: ET(nEns)
double precision :: EV(nEns)
double precision :: EJ(nEns)
double precision :: Ex(nEns), Ec(nEns), Exc(nEns)
double precision :: Eaux(nEns)
double precision :: ExDD(nEns), EcDD(nEns), ExcDD(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 :: iEns
! Output variables
double precision,intent(out) :: E(nEns)
double precision,intent(out) :: Om(nEns)
!------------------------------------------------------------------------
! Kinetic energy
!------------------------------------------------------------------------
do iEns=1,nEns
ET(iEns) = trace_matrix(nBas,matmul(P(:,:,iEns),T(:,:)))
end do
!------------------------------------------------------------------------
! Potential energy
!------------------------------------------------------------------------
do iEns=1,nEns
EV(iEns) = trace_matrix(nBas,matmul(P(:,:,iEns),V(:,:)))
end do
!------------------------------------------------------------------------
! Individual Hartree energy
!------------------------------------------------------------------------
do iEns=1,nEns
call hartree_coulomb(nBas,Pw(:,:),ERI(:,:,:,:),J(:,:))
EJ(iEns) = trace_matrix(nBas,matmul(P(:,:,iEns),J(:,:))) &
- 0.5d0*trace_matrix(nBas,matmul(Pw(:,:),J(:,:)))
end do
!------------------------------------------------------------------------
! Individual exchange energy
!------------------------------------------------------------------------
do iEns=1,nEns
call exchange_individual_energy(x_rung,x_DFA,LDA_centered,nEns,wEns(:),aCC_w1,aCC_w2,nGrid,weight(:),nBas,ERI(:,:,:,:), &
Pw(:,:),P(:,:,iEns),rhow(:),drhow(:,:),rho(:,iEns),drho(:,:,iEns),Ex(iEns))
end do
!------------------------------------------------------------------------
! Indivudual correlation energy
!------------------------------------------------------------------------
do iEns=1,nEns
call restricted_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 restricted_auxiliary_energy(nBas,nEns,nO,eps(:),Eaux(:))
!------------------------------------------------------------------------
! Compute derivative discontinuities
!------------------------------------------------------------------------
call exchange_derivative_discontinuity(x_rung,x_DFA,nEns,wEns(:),aCC_w1,aCC_w2,nGrid,weight(:),rhow(:),drhow(:,:),ExDD(:))
call restricted_correlation_derivative_discontinuity(c_rung,c_DFA,nEns,wEns(:),nGrid,weight(:),rhow(:),drhow(:,:),EcDD(:))
ExcDD(:) = ExDD(:) + EcDD(:)
!------------------------------------------------------------------------
! Total energy
!------------------------------------------------------------------------
do iEns=1,nEns
Exc(iEns) = Ex(iEns) + Ec(iEns)
E(iEns) = ET(iEns) + EV(iEns) + EJ(iEns) &
+ Ex(iEns) + Ec(iEns) + ExcDD(iEns)
end do
!------------------------------------------------------------------------
! Excitation energies
!------------------------------------------------------------------------
do iEns=1,nEns
Om(iEns) = E(iEns) - E(1)
Omx(iEns) = Ex(iEns) - Ex(1)
Omc(iEns) = Ec(iEns) - Ec(1)
Omxc(iEns) = Exc(iEns) - Exc(1)
Omaux(iEns) = Eaux(iEns) - Eaux(1)
OmxDD(iEns) = ExDD(iEns) - ExDD(1)
OmcDD(iEns) = EcDD(iEns) - EcDD(1)
OmxcDD(iEns) = ExcDD(iEns) - ExcDD(1)
end do
!------------------------------------------------------------------------
! Dump results
!------------------------------------------------------------------------
call print_restricted_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 restricted_individual_energy