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quack/src/eDFT/CC_B88_gga_exchange_energy.f90
Clotilde Marut 8c7b8213fc add CC-B88
2022-02-07 10:47:15 +01:00

101 lines
2.0 KiB
Fortran

subroutine CC_B88_gga_exchange_energy(nEns,wEns,nCC,aCC,nGrid,weight,&
rho,drho,Cx_choice,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)
integer,intent(in) :: nCC
double precision,intent(in) :: aCC(nCC,nEns-1)
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rho(nGrid)
double precision,intent(in) :: drho(3,nGrid)
integer,intent(in) :: Cx_choice
! Local variables
integer :: iG
double precision :: b
double precision :: r,g,x
double precision :: a1,b1,c1,d1,w1
double precision :: a2,b2,c2,d2,w2
double precision :: Fx1,Fx2,Cx
! Output variables
double precision :: Ex
! Coefficients for B88 GGA exchange functional
b = 0.0042d0
! Defining enhancements factor for weight-dependent functionals
! Parameters for first state
a1 = aCC(1,1)
b1 = aCC(2,1)
c1 = aCC(3,1)
d1 = aCC(4,1)
! Parameters for second state
a2 = aCC(1,2)
b2 = aCC(2,2)
c2 = aCC(3,2)
d2 = aCC(4,2)
w1 = wEns(2)
Fx1 = 1d0 + a1*w1 + b1*w1**2 + c1*w1**3 + d1*w1**4
w2 = wEns(3)
Fx2 = 1d0 + a2*w2 + b2*w2**2 + c2*w2**3 + d2*w2**4
select case (Cx_choice)
case(1)
Cx = Fx1
case(2)
Cx = Fx2
case(3)
Cx = Fx2*Fx1
case default
Cx = 1.d0
end select
! Compute GIC-GGA exchange energy
Ex = 0d0
do iG=1,nGrid
r = max(0d0,rho(iG))
if(r > threshold) then
g = drho(1,iG)**2 + drho(2,iG)**2 + drho(3,iG)**2
x = sqrt(g)/r**(4d0/3d0)
Ex = Ex + weight(iG)*r**(4d0/3d0)*(CxLSDA - b*x**2/(1d0 + 6d0*b*x*asinh(x)))
end if
end do
Ex = Cx*Ex
end subroutine CC_B88_gga_exchange_energy