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QuAcK/src/eDFT/RMFL20_lda_exchange_energy.f90

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subroutine RMFL20_lda_exchange_energy(nEns,wEns,nGrid,weight,rho,Ex)
! Compute restricted version of Marut-Fromager-Loos weight-dependent LDA exchange energy
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) :: rho(nGrid)
! Local variables
integer :: iG
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double precision :: Cx0
double precision :: Cx1
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double precision :: CxLDA
double precision :: Cxw
double precision :: r
! Output variables
double precision :: Ex
! Cx coefficient for Slater LDA exchange
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Cx0 = -(4d0/3d0)*(1d0/pi)**(1d0/3d0)
Cx1 = -(176d0/105d0)*(1d0/pi)**(1d0/3d0)
CxLDA = -(3d0/4d0)*(3d0/pi)**(1d0/3d0)
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Cxw = CxLDA + wEns(1)*(Cx1 - Cx0)
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! Compute LDA exchange energy
Ex = 0d0
do iG=1,nGrid
r = max(0d0,rho(iG))
if(r > threshold) then
Ex = Ex + weight(iG)*Cxw*r**(4d0/3d0)
endif
enddo
end subroutine RMFL20_lda_exchange_energy