2021-11-24 10:25:48 +01:00
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subroutine UCC_lda_exchange_potential(nEns,wEns,nCC,aCC,nGrid,weight,nBas,AO,rho,Fx,Cx_choice,doNcentered)
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2020-07-02 14:27:38 +02:00
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! Compute the unrestricted version of the curvature-corrected exchange potential
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implicit none
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include 'parameters.h'
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! Input variables
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integer,intent(in) :: nEns
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double precision,intent(in) :: wEns(nEns)
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2021-11-24 10:25:48 +01:00
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integer,intent(in) :: nCC
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double precision,intent(in) :: aCC(nCC,nEns-1)
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2020-07-02 14:27:38 +02:00
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integer,intent(in) :: nGrid
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double precision,intent(in) :: weight(nGrid)
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integer,intent(in) :: nBas
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double precision,intent(in) :: AO(nBas,nGrid)
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double precision,intent(in) :: rho(nGrid)
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2020-08-02 13:09:30 +02:00
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integer,intent(in) :: Cx_choice
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2021-11-24 10:25:48 +01:00
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logical,intent(in) :: doNcentered
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2020-07-02 14:27:38 +02:00
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! Local variables
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integer :: mu,nu,iG
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2021-02-15 17:27:06 +01:00
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double precision :: r,vAO
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2020-07-02 14:27:38 +02:00
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2021-11-25 17:45:48 +01:00
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double precision :: a1,b1,c1,d1,w1
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double precision :: a2,b2,c2,d2,w2
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2020-07-02 14:27:38 +02:00
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double precision :: Fx1,Fx2,Cx
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! Output variables
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double precision,intent(out) :: Fx(nBas,nBas)
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2021-11-25 17:45:48 +01:00
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! Defining enhancements factor for weight-dependent functionals
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2020-07-02 14:27:38 +02:00
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2021-11-25 17:45:48 +01:00
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if(doNcentered) then
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2020-07-02 14:27:38 +02:00
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2021-11-25 17:45:48 +01:00
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! Parameters for first state
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a1 = aCC(1,1)
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b1 = aCC(2,1)
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c1 = aCC(3,1)
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d1 = aCC(4,1)
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! Parameters for second state
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2020-07-02 14:27:38 +02:00
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2021-11-25 17:45:48 +01:00
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a2 = aCC(1,2)
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b2 = aCC(2,2)
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c2 = aCC(3,2)
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d2 = aCC(4,2)
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2020-07-02 14:27:38 +02:00
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2021-11-24 10:25:48 +01:00
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w1 = wEns(2)
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2021-11-25 17:45:48 +01:00
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Fx1 = 1d0 + a1*w1 + b1*w1**2 + c1*w1**3 + d1*w1**4
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2021-11-24 10:25:48 +01:00
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w2 = wEns(3)
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2021-11-25 17:45:48 +01:00
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Fx2 = 1d0 + a2*w2 + b2*w2**2 + c2*w2**3 + d2*w2**4
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2021-11-24 10:25:48 +01:00
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else
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2021-11-25 17:45:48 +01:00
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! Parameters for first state
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2021-11-24 10:25:48 +01:00
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2021-11-25 17:45:48 +01:00
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a1 = aCC(1,1)
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b1 = aCC(2,1)
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c1 = aCC(3,1)
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2021-11-24 10:25:48 +01:00
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2021-11-25 17:45:48 +01:00
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! Parameters for second state
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a2 = aCC(1,2)
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b2 = aCC(2,2)
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c2 = aCC(3,2)
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w1 = wEns(2)
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Fx1 = 1d0 - w1*(1d0 - w1)*(a1 + b1*(w1 - 0.5d0) + c1*(w1 - 0.5d0)**2)
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2021-11-29 13:11:01 +01:00
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w2 = wEns(3)
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2021-11-25 17:45:48 +01:00
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Fx2 = 1d0 - w2*(1d0 - w2)*(a2 + b2*(w2 - 0.5d0) + c2*(w2 - 0.5d0)**2)
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2021-11-24 10:25:48 +01:00
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endif
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2020-07-02 14:27:38 +02:00
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2020-08-02 13:09:30 +02:00
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select case (Cx_choice)
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2021-02-15 17:27:06 +01:00
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case(1)
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Cx = CxLSDA*Fx1
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2020-08-01 11:45:17 +02:00
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2021-02-15 17:27:06 +01:00
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case(2)
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Cx = CxLSDA*Fx2
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2020-08-01 11:45:17 +02:00
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2021-02-15 17:27:06 +01:00
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case(3)
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Cx = CxLSDA*Fx2*Fx1
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case default
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Cx = CxLSDA
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end select
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2020-07-02 14:27:38 +02:00
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! Compute LDA exchange matrix in the AO basis
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Fx(:,:) = 0d0
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do mu=1,nBas
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do nu=1,nBas
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do iG=1,nGrid
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r = max(0d0,rho(iG))
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if(r > threshold) then
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vAO = weight(iG)*AO(mu,iG)*AO(nu,iG)
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Fx(mu,nu) = Fx(mu,nu) + vAO*4d0/3d0*Cx*r**(1d0/3d0)
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endif
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enddo
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enddo
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enddo
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end subroutine UCC_lda_exchange_potential
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