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quack/src/eDFT/RMFL20_lda_exchange_individual_energy.f90

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subroutine RMFL20_lda_exchange_individual_energy(nEns,wEns,nGrid,weight,rhow,rho,Ex)
! Compute the restricted version of the Marut-Fromager-Loos 2020 weight-dependent exchange functional
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nEns
double precision,intent(in) :: wEns(nEns)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid)
double precision,intent(in) :: rho(nGrid)
! Local variables
integer :: iG
double precision :: Cxw
double precision :: r,rI
double precision :: e,dedr
! Output variables
double precision,intent(out) :: Ex
! Weight-dependent Cx coefficient for RMFL20 exchange functional
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Cxw = CxLDA + wEns(2)*(Cx1 - Cx0)
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! Compute LDA exchange matrix in the AO basis
Ex = 0d0
do iG=1,nGrid
r = max(0d0,rhow(iG))
rI = max(0d0,rho(iG))
if(r > threshold .and. rI > threshold) then
e = Cxw*r**(1d0/3d0)
dedr = 1d0/3d0*Cxw*r**(-2d0/3d0)
Ex = Ex + weight(iG)*(e*rI + dedr*r*rI - dedr*r*r)
endif
enddo
end subroutine RMFL20_lda_exchange_individual_energy