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QuAcK/src/eDFT/RVWN5_lda_correlation_energy.f90
2020-03-17 19:35:00 +01:00

63 lines
1.2 KiB
Fortran

subroutine RVWN5_lda_correlation_energy(nGrid,weight,rho,Ec)
! Compute the restricted VWN5 LDA correlation energy
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: nGrid
double precision,intent(in) :: weight(nGrid)
double precision,intent(in) :: rho(nGrid)
! Local variables
integer :: iG
double precision :: r,rs,x
double precision :: a_p,x0_p,xx0_p,b_p,c_p,x_p,q_p
double precision :: ec_p
! Output variables
double precision :: Ec
! Parameters of the functional
a_p = +0.0621814D0/2D0
x0_p = -0.10498d0
b_p = +3.72744d0
c_p = +12.9352d0
! Initialization
Ec = 0d0
do iG=1,nGrid
r = max(0d0,rho(iG))
if(r > threshold) then
rs = (4d0*pi*r/3d0)**(-1d0/3d0)
x = sqrt(rs)
x_p = x*x + b_p*x + c_p
xx0_p = x0_p*x0_p + b_p*x0_p + c_p
q_p = sqrt(4d0*c_p - b_p*b_p)
ec_p = a_p*( log(x**2/x_p) + 2d0*b_p/q_p*atan(q_p/(2d0*x + b_p)) &
- b_p*x0_p/xx0_p*( log((x - x0_p)**2/x_p) + 2d0*(b_p + 2d0*x0_p)/q_p*atan(q_p/(2d0*x + b_p)) ) )
Ec = Ec + weight(iG)*ec_p*r
end if
end do
end subroutine RVWN5_lda_correlation_energy