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mirror of https://github.com/pfloos/quack synced 2024-06-28 08:02:24 +02:00
quack/src/eDFT/RGIC_lda_exchange_individual_energy.f90

81 lines
1.8 KiB
Fortran

subroutine RGIC_lda_exchange_individual_energy(nEns,wEns,nGrid,weight,rhow,rho,Ex)
! Compute the restricted version of the GIC 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 :: CxGIC
double precision :: r,rI
double precision :: e_p,dedr
double precision :: a,b,c,w
! Output variables
double precision,intent(out) :: Ex
! Weight-dependent Cx coefficient for RMFL20 exchange functional
! Parameters for H2 at equilibrium
! a = + 0.5751782560799208d0
! b = - 0.021108186591137282d0
! c = - 0.36718902716347124d0
! Parameters for stretch H2
! a = + 0.01922622507087411d0
! b = - 0.01799647558018601d0
! c = - 0.022945430666782573d0
! Parameters for He
! a = 1.9125735895875828d0
! b = 2.715266992840757d0
! c = 2.1634223380633086d0
! Parameters for HNO
a = 0.0061158387543040335d0
b = -0.00005968703047293955d0
c = -0.00001692245714408755d0
w = wEns(2)
CxGIC = 1d0 - w*(1d0 - w)*(a + b*(w - 0.5d0) + c*(w - 0.5d0)**2)
CxGIC = CxLDA*CxGIC
! 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_p = CxGIC*r**(1d0/3d0)
dedr = 1d0/3d0*CxGIC*r**(-2d0/3d0)
Ex = Ex + weight(iG)*(e_p*rI + dedr*r*rI - dedr*r*r)
endif
enddo
end subroutine RGIC_lda_exchange_individual_energy