10
1
mirror of https://github.com/pfloos/quack synced 2024-12-26 14:23:38 +01:00
QuAcK/src/eDFT/B88_gga_exchange_energy.f90

54 lines
1.2 KiB
Fortran
Raw Normal View History

2019-03-13 11:07:31 +01:00
subroutine B88_gga_exchange_energy(DFA,nEns,wEns,nGrid,weight,rho,drho,Ex)
! Compute Becke's 96 GGA exchange energy
implicit none
include 'parameters.h'
! Input variables
character(len=12),intent(in) :: DFA
integer,intent(in) :: nEns
double precision,intent(in) :: wEns(nEns)
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,gamma
double precision :: r,g,x
! Output variables
double precision :: Ex
! Coefficients for B88 GGA exchange functional
alpha = -(3d0/2d0)*(3d0/(4d0*pi))**(1d0/3d0)
beta = 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)*alpha*r**(4d0/3d0) &
- weight(iG)*beta*x**2*r**(4d0/3d0)/(1d0 + 6d0*beta*x*asinh(x))
end if
end do
end subroutine B88_gga_exchange_energy