2023-07-17 13:51:52 +02:00
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subroutine MP2(regularize,nBas,nC,nO,nV,nR,ERI,ENuc,EHF,e)
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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! Perform second-order Moller-Plesset calculation with and without regularizers
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2019-03-19 10:13:33 +01:00
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implicit none
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! Input variables
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2022-11-30 17:18:51 +01:00
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logical,intent(in) :: regularize
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2021-03-03 11:37:46 +01:00
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integer,intent(in) :: nBas
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integer,intent(in) :: nC
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integer,intent(in) :: nO
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integer,intent(in) :: nV
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integer,intent(in) :: nR
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double precision,intent(in) :: ENuc
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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) :: ERI(nBas,nBas,nBas,nBas)
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2019-03-19 10:13:33 +01:00
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! Local variables
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integer :: i,j,a,b
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2021-12-16 14:24:02 +01:00
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double precision :: kappa,sigm1,sigm2
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double precision :: Dijab
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double precision :: fs,fs2,fk
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double precision :: E2d,E2ds,E2ds2,E2dk
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double precision :: E2x,E2xs,E2xs2,E2xk
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double precision :: EcsMP2,Ecs2MP2,EckMP2
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2023-07-17 13:51:52 +02:00
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double precision :: EcMP2
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2019-03-19 10:13:33 +01:00
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! Output variables
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! Hello world
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write(*,*)
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write(*,*)'************************************************'
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write(*,*)'| Moller-Plesset second-order calculation |'
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write(*,*)'************************************************'
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write(*,*)
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2021-12-16 14:24:02 +01:00
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!---------------------------------------------!
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! Parameters for regularized MP2 calculations !
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!---------------------------------------------!
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kappa = 1.1d0
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sigm1 = 0.7d0
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sigm2 = 0.4d0
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!--------------------------------------------------!
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! Compute conventinal and regularized MP2 energies !
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!--------------------------------------------------!
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E2d = 0d0
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E2ds = 0d0
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E2ds2 = 0d0
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E2dk = 0d0
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E2x = 0d0
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E2xs = 0d0
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E2xs2 = 0d0
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E2xk = 0d0
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2019-03-19 10:13:33 +01:00
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do i=nC+1,nO
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2021-12-16 14:24:02 +01:00
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do j=nC+1,nO
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do a=nO+1,nBas-nR
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do b=nO+1,nBas-nR
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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Dijab = e(a) + e(b) - e(i) - e(j)
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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! Second-order ring diagram
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:47:13 +01:00
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fs = (1d0 - exp(-sigm1*Dijab))/Dijab
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fs2 = (1d0 - exp(-sigm2*Dijab*Dijab))/Dijab
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fk = (1d0 - exp(-kappa*Dijab))**2/Dijab
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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E2d = E2d - ERI(i,j,a,b)*ERI(i,j,a,b)/Dijab
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E2ds = E2ds - ERI(i,j,a,b)*ERI(i,j,a,b)*fs
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E2ds2 = E2ds2 - ERI(i,j,a,b)*ERI(i,j,a,b)*fs2
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E2dk = E2dk - ERI(i,j,a,b)*ERI(i,j,a,b)*fk
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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! Second-order exchange diagram
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2019-03-19 10:13:33 +01:00
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2021-12-16 14:24:02 +01:00
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E2x = E2x - ERI(i,j,a,b)*ERI(i,j,b,a)/Dijab
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E2xs = E2xs - ERI(i,j,a,b)*ERI(i,j,b,a)*fs
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E2xs2 = E2xs2 - ERI(i,j,a,b)*ERI(i,j,b,a)*fs2
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E2xk = E2xk - ERI(i,j,a,b)*ERI(i,j,b,a)*fk
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enddo
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enddo
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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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2021-12-16 14:24:02 +01:00
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EcMP2 = 2d0*E2d - E2x
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EcsMP2 = 2d0*E2ds - E2xs
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Ecs2MP2 = 2d0*E2ds2 - E2xs2
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EckMP2 = 2d0*E2dk - E2xk
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!------------!
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! MP2 energy !
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!------------!
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2019-03-19 10:13:33 +01:00
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write(*,*)
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2020-01-15 22:29:43 +01:00
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write(*,'(A32)') '--------------------------'
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write(*,'(A32)') ' MP2 calculation '
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write(*,'(A32)') '--------------------------'
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2021-03-23 19:50:46 +01:00
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write(*,'(A32,1X,F16.10)') ' MP2 correlation energy = ',EcMP2
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2021-12-16 14:24:02 +01:00
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write(*,'(A32,1X,F16.10)') ' Direct part = ',2d0*E2d
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write(*,'(A32,1X,F16.10)') ' Exchange part = ',-E2x
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2020-01-15 22:29:43 +01:00
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write(*,'(A32)') '--------------------------'
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2021-03-23 19:50:46 +01:00
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write(*,'(A32,1X,F16.10)') ' MP2 electronic energy = ',EHF + EcMP2
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write(*,'(A32,1X,F16.10)') ' MP2 total energy = ',ENuc + EHF + EcMP2
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2020-01-15 22:29:43 +01:00
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write(*,'(A32)') '--------------------------'
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2019-03-19 10:13:33 +01:00
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write(*,*)
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2022-11-30 17:18:51 +01:00
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if(regularize) then
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2021-12-16 14:24:02 +01:00
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!-------------------!
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! sigma1-MP2 energy !
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!-------------------!
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2022-11-30 17:18:51 +01:00
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write(*,*)
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write(*,'(A32)') '--------------------------'
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write(*,'(A32)') ' sigma-MP2 calculation '
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 correlation energy = ',EcsMP2
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write(*,'(A32,1X,F16.10)') ' Direct part = ',2d0*E2ds
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write(*,'(A32,1X,F16.10)') ' Exchange part = ',-E2xs
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 electronic energy = ',EHF + EcsMP2
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write(*,'(A32,1X,F16.10)') ' MP2 total energy = ',ENuc + EHF + EcsMP2
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write(*,'(A32)') '--------------------------'
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write(*,*)
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2021-12-16 14:24:02 +01:00
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!--------------------!
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! sigma^2-MP2 energy !
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!--------------------!
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2022-11-30 17:18:51 +01:00
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write(*,*)
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write(*,'(A32)') '--------------------------'
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write(*,'(A32)') ' sigma^2-MP2 calculation '
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 correlation energy = ',Ecs2MP2
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write(*,'(A32,1X,F16.10)') ' Direct part = ',2d0*E2ds2
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write(*,'(A32,1X,F16.10)') ' Exchange part = ',-E2xs2
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 electronic energy = ',EHF + Ecs2MP2
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write(*,'(A32,1X,F16.10)') ' MP2 total energy = ',ENuc + EHF + Ecs2MP2
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write(*,'(A32)') '--------------------------'
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write(*,*)
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2021-12-16 14:24:02 +01:00
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!------------------!
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! kappa-MP2 energy !
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!------------------!
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2022-11-30 17:18:51 +01:00
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write(*,*)
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write(*,'(A32)') '--------------------------'
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write(*,'(A32)') ' kappa-MP2 calculation '
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 correlation energy = ',EckMP2
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write(*,'(A32,1X,F16.10)') ' Direct part = ',2d0*E2dk
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write(*,'(A32,1X,F16.10)') ' Exchange part = ',-E2xk
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write(*,'(A32)') '--------------------------'
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write(*,'(A32,1X,F16.10)') ' MP2 electronic energy = ',EHF + EckMP2
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write(*,'(A32,1X,F16.10)') ' MP2 total energy = ',ENuc + EHF + EckMP2
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write(*,'(A32)') '--------------------------'
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write(*,*)
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end if
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2021-12-16 14:24:02 +01:00
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2023-07-17 14:50:16 +02:00
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end subroutine
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