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quack/src/eDFT/UG96_gga_exchange_energy.f90

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subroutine UG96_gga_exchange_energy(nGrid,weight,rho,drho,Ex)
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! Compute Gill's 96 GGA exchange energy
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rho(nGrid)
double precision,intent(in) :: drho(3,nGrid)
! Local variables
integer :: iG
double precision :: alpha,beta
double precision :: r,g
! Output variables
double precision :: Ex
! Coefficients for G96 GGA exchange functional
alpha = -(3d0/2d0)*(3d0/(4d0*pi))**(1d0/3d0)
beta = 1d0/137d0
! Compute 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
Ex = Ex + weight(iG)*r**(4d0/3d0)*(alpha - beta*g**(3d0/4d0)/r**2)
end if
end do
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end subroutine UG96_gga_exchange_energy