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quack/src/eDFT/B88_gga_exchange_energy.f90

49 lines
958 B
Fortran

subroutine B88_gga_exchange_energy(nGrid,weight,rho,drho,Ex)
! Compute Becke's 88 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 :: b
double precision :: r,g,x
! Output variables
double precision :: Ex
! Coefficients for B88 GGA exchange functional
b = 0.0042d0
! 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
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
end subroutine B88_gga_exchange_energy