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quack/src/eDFT/RCC_lda_exchange_individual_energy.f90

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2020-06-04 22:41:38 +02:00
subroutine RCC_lda_exchange_individual_energy(nEns,wEns,nGrid,weight,rhow,rho,Ex)
! Compute the restricted version of the curvature-corrected 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 :: r,rI
double precision :: e_p,dedr
double precision :: a1,b1,c1,w1
double precision :: a2,b2,c2,w2
double precision :: Fx1,Fx2,Cx
! Output variables
double precision,intent(out) :: Ex
! Single excitation parameter
a1 = 0.0d0
b1 = 0.0d0
c1 = 0.0d0
! Parameters for H2 at equilibrium
! a2 = +0.5751782560799208d0
! b2 = -0.021108186591137282d0
! c2 = -0.36718902716347124d0
! Parameters for stretch H2
a2 = + 0.01922622507087411d0
b2 = - 0.01799647558018601d0
c2 = - 0.022945430666782573d0
! Parameters for He
! a2 = 1.9125735895875828d0
! b2 = 2.715266992840757d0
! c2 = 2.1634223380633086d0
w1 = wEns(2)
Fx1 = 1d0 - w1*(1d0 - w1)*(a1 + b1*(w1 - 0.5d0) + c1*(w1 - 0.5d0)**2)
w2 = wEns(3)
Fx2 = 1d0 - w2*(1d0 - w2)*(a2 + b2*(w2 - 0.5d0) + c2*(w2 - 0.5d0)**2)
Cx = CxLDA*Fx1*Fx2
! 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 = Cx*r**(1d0/3d0)
dedr = 1d0/3d0*Cx*r**(-2d0/3d0)
Ex = Ex + weight(iG)*(e_p*rI + dedr*r*rI - dedr*r*r)
endif
enddo
end subroutine RCC_lda_exchange_individual_energy