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QuAcK/src/eDFT/US51_lda_exchange_individual_energy.f90

65 lines
1.4 KiB
Fortran

subroutine US51_lda_exchange_individual_energy(nGrid,weight,rhow,rho,doNcentered,kappa,Ex)
! Compute the restricted version of Slater's LDA exchange individual energy
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid)
double precision,intent(in) :: rho(nGrid)
logical,intent(in) :: doNcentered
double precision,intent(in) :: kappa
! Local variables
integer :: iG
double precision :: r,rI,alpha
double precision :: e,dedr
double precision :: Exrr,ExrI,ExrrI
! Output variables
double precision,intent(out) :: Ex
! Compute LDA exchange matrix in the AO basis
alpha = - (3d0/2d0)*(3d0/(4d0*pi))**(1d0/3d0)
Exrr = 0d0
ExrI = 0d0
ExrrI = 0d0
do iG=1,nGrid
r = max(0d0,rhow(iG))
rI = max(0d0,rho(iG))
if(r > threshold) then
e = alpha*r**(1d0/3d0)
dedr = 1d0/3d0*alpha*r**(-2d0/3d0)
Exrr = Exrr - weight(iG)*dedr*r*r
if(rI > threshold) then
ExrI = ExrI + weight(iG)*e*rI
ExrrI = ExrrI + weight(iG)*dedr*r*rI
endif
endif
enddo
Exrr = kappa*Exrr
ExrI = kappa*ExrI
Ex = Exrr + ExrI + ExrrI
end subroutine US51_lda_exchange_individual_energy