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quack/src/eDFT/UCC_lda_exchange_individual_energy.f90
2021-02-15 17:27:06 +01:00

101 lines
2.1 KiB
Fortran

subroutine UCC_lda_exchange_individual_energy(nEns,wEns,aCC_w1,aCC_w2,nGrid,weight,rhow,rho,Cx_choice,doNcentered,kappa,Ex)
! Compute the unrestricted version of the curvature-corrected exchange functional
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nEns
double precision,intent(in) :: wEns(nEns)
double precision,intent(in) :: aCC_w1(3)
double precision,intent(in) :: aCC_w2(3)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rhow(nGrid)
double precision,intent(in) :: rho(nGrid)
integer,intent(in) :: Cx_choice
logical,intent(in) :: doNcentered
double precision,intent(in) :: kappa(nEns)
! 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
! External variable
double precision,external :: electron_number
! Parameters for N -> N-1
a1 = aCC_w1(1)
b1 = aCC_w1(2)
c1 = aCC_w1(3)
! Parameters for N -> N+1
a2 = aCC_w2(1)
b2 = aCC_w2(2)
c2 = aCC_w2(3)
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)
select case (Cx_choice)
case(1)
Cx = CxLSDA*Fx1
case(2)
Cx = CxLSDA*Fx2
case(3)
Cx = CxLSDA*Fx2*Fx1
case default
Cx = CxLSDA
end select
! 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) then
e_p = Cx*r**(1d0/3d0)
dedr = 1d0/3d0*Cx*r**(-2d0/3d0)
Ex = Ex - weight(iG)*dedr*r*r
if(rI > threshold) then
Ex = Ex + weight(iG)*(e_p*rI + dedr*r*rI)
endif
endif
enddo
end subroutine UCC_lda_exchange_individual_energy