2019-03-19 10:13:33 +01:00
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subroutine MP2F12(nBas,nC,nO,nV,ERI,F12,Yuk,FC,EHF,e,c)
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! Perform MP2-F12 calculation
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implicit none
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! Input variables
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integer,intent(in) :: nBas,nC,nO,nV
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double precision,intent(in) :: EHF
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double precision,intent(in) :: e(nBas)
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double precision,intent(in) :: c(nBas,nBas)
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: F12(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: Yuk(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: FC(nBas,nBas,nBas,nBas,nBas,nBas)
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! Local variables
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double precision,allocatable :: ooCoo(:,:,:,:)
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double precision,allocatable :: ooFoo(:,:,:,:)
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double precision,allocatable :: ooYoo(:,:,:,:)
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double precision,allocatable :: ooCvv(:,:,:,:)
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double precision,allocatable :: ooFvv(:,:,:,:)
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double precision,allocatable :: oooFCooo(:,:,:,:,:,:)
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double precision,allocatable :: eO(:),eV(:)
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double precision,allocatable :: cO(:,:),cV(:,:)
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double precision :: E2a,E2b,E3a,E3b,E4a,E4b,E4c,E4d
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integer :: i,j,k,l,a,b
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double precision :: EcMP2F12(4)
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double precision :: EcMP2a
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double precision :: EcMP2b
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double precision :: EcMP2
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double precision :: eps
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! Split MOs into occupied and virtual sets
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allocate(eO(nO),eV(nV))
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eO(1:nO) = e(nC+1:nC+nO)
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eV(1:nV) = e(nC+nO+1:nBas)
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allocate(cO(nBas,nO),cV(nBas,nV))
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cO(1:nBas,1:nO) = c(1:nBas,nC+1:nC+nO)
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cV(1:nBas,1:nV) = c(1:nBas,nC+nO+1:nBas)
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! Compute conventional MP2 energy
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allocate(ooCvv(nO,nO,nV,nV))
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call AOtoMO_oovv(nBas,nO,nV,cO,cV,ERI,ooCvv)
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EcMP2a = 0d0
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EcMP2b = 0d0
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do i=1,nO
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do j=1,nO
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do a=1,nV
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do b=1,nV
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eps = eO(i) + eO(j) - eV(a) - eV(b)
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2019-10-28 16:34:09 +01:00
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EcMP2a = EcMP2a + ooCvv(i,j,a,b)/eps
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EcMP2b = EcMP2b + ooCvv(i,j,b,a)/eps
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2019-03-19 10:13:33 +01:00
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enddo
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enddo
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enddo
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enddo
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EcMP2 = EcMP2a + EcMP2b
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! Compute the two-electron part of the MP2-F12 energy
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allocate(ooYoo(nO,nO,nO,nO))
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call AOtoMO_oooo(nBas,nO,cO,Yuk,ooYoo)
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E2a = 0d0
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E2b = 0d0
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do i=1,nO
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do j=1,nO
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E2a = E2a + ooYoo(i,j,i,j)
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E2b = E2b + ooYoo(i,j,j,i)
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enddo
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enddo
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deallocate(ooYoo)
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! Compute the three-electron part of the MP2-F12 energy
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allocate(oooFCooo(nO,nO,nO,nO,nO,nO))
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call AOtoMO_oooooo(nBas,nO,cO,FC,oooFCooo)
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E3a = 0d0
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E3b = 0d0
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do i=1,nO
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do j=1,nO
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do k=1,nO
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E3a = E3a + oooFCooo(i,j,k,k,j,i)
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E3b = E3b + oooFCooo(i,j,k,k,i,j)
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enddo
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enddo
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enddo
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deallocate(oooFCooo)
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! Compute the four-electron part of the MP2-F12 energy
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allocate(ooCoo(nO,nO,nO,nO),ooFoo(nO,nO,nO,nO))
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call AOtoMO_oooo(nBas,nO,cO,ERI,ooCoo)
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call AOtoMO_oooo(nBas,nO,cO,F12,ooFoo)
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E4a = 0d0
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E4b = 0d0
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do i=1,nO
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do j=1,nO
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do k=1,nO
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do l=1,nO
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E4a = E4a + ooCoo(i,j,k,l)*ooFoo(i,j,k,l)
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E4b = E4b + ooCoo(i,j,k,l)*ooFoo(j,i,k,l)
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enddo
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enddo
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enddo
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enddo
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deallocate(ooCoo,ooFoo)
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allocate(ooCvv(nO,nO,nV,nV),ooFvv(nO,nO,nV,nV))
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call AOtoMO_oovv(nBas,nO,nV,cO,cV,ERI,ooCvv)
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call AOtoMO_oovv(nBas,nO,nV,cO,cV,F12,ooFvv)
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E4c = 0d0
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E4d = 0d0
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do i=1,nO
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do j=1,nO
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do a=1,nV
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do b=1,nV
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E4c = E4c + ooCvv(i,j,a,b)*ooFvv(i,j,a,b)
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E4d = E4d + ooCvv(i,j,a,b)*ooFvv(j,i,a,b)
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enddo
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enddo
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enddo
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enddo
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deallocate(ooCvv,ooFvv)
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! Final scaling of the various components
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EcMP2F12(1) = +0.625d0*E2a - 0.125d0*E2b
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EcMP2F12(2) = -1.250d0*E3a + 0.250d0*E3b
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EcMP2F12(3) = +0.625d0*E4a - 0.125d0*E4b - 0.625d0*E4c + 0.125d0*E4d
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write(*,*)
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write(*,'(A32)') '-----------------------'
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write(*,'(A32)') ' MP2-F12 calculation '
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write(*,'(A32)') '-----------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 ',+EcMP2
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write(*,'(A32,1X,F16.10)') ' MP2-F12 E(2) ',-EcMP2F12(1)
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write(*,'(A32,1X,F16.10)') ' MP2-F12 E(3) ',-EcMP2F12(2)
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write(*,'(A32,1X,F16.10)') ' MP2-F12 E(4) ',-EcMP2F12(3)
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write(*,'(A32)') '-----------------------'
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write(*,'(A32,1X,F16.10)') ' Total ',EcMP2-EcMP2F12(1)-EcMP2F12(2)-EcMP2F12(3)
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write(*,'(A32)') '-----------------------'
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write(*,*)
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deallocate(cO,cV)
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end subroutine MP2F12
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