2019-10-28 16:34:09 +01:00
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subroutine excitation_density_Tmatrix(ispin,nBas,nC,nO,nV,nR,nOO,nVV,ERI,X1,Y1,rho1,X2,Y2,rho2)
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2019-10-06 22:35:36 +02:00
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! Compute excitation densities for T-matrix self-energy
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implicit none
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! Input variables
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2019-10-20 08:18:58 +02:00
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integer,intent(in) :: ispin
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2019-10-28 16:34:09 +01:00
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integer,intent(in) :: nBas,nC,nO,nV,nR,nOO,nVV
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2019-10-06 22:35:36 +02:00
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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2019-10-28 16:34:09 +01:00
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double precision,intent(in) :: X1(nVV,nVV)
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double precision,intent(in) :: Y1(nOO,nVV)
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double precision,intent(in) :: X2(nVV,nOO)
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double precision,intent(in) :: Y2(nOO,nOO)
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2019-10-06 22:35:36 +02:00
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! Local variables
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integer :: i,j,k,l
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integer :: a,b,c,d
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integer :: p
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integer :: ab,cd,ij,kl
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2019-10-17 22:07:41 +02:00
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double precision,external :: Kronecker_delta
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2019-10-06 22:35:36 +02:00
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! Output variables
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double precision,intent(out) :: rho1(nBas,nBas,nVV)
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double precision,intent(out) :: rho2(nBas,nBas,nOO)
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rho1(:,:,:) = 0d0
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rho2(:,:,:) = 0d0
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2019-10-20 08:18:58 +02:00
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!----------------------------------------------
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! Singlet manifold
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!----------------------------------------------
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if(ispin == 1) then
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do p=nC+1,nBas-nR
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do i=nC+1,nO
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do ab=1,nVV
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cd = 0
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do c=nO+1,nBas-nR
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do d=nO+1,c
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cd = cd + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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2019-10-22 23:03:01 +02:00
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! + ERI(p,i,c,d)*X1(cd,ab)
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+ (ERI(p,i,c,d) + ERI(p,i,d,c))*X1(cd,ab) &
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/sqrt((1d0 + Kronecker_delta(p,i))*(1d0 + Kronecker_delta(c,d)))
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2019-10-20 08:18:58 +02:00
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=nC+1,k
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kl = kl + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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2019-10-22 23:03:01 +02:00
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! + ERI(p,i,k,l)*Y1(kl,ab)
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+ (ERI(p,i,k,l) + ERI(p,i,l,k))*Y1(kl,ab) &
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/sqrt((1d0 + Kronecker_delta(p,i))*(1d0 + Kronecker_delta(k,l)))
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2019-10-20 08:18:58 +02:00
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end do
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end do
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end do
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end do
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do a=nO+1,nBas-nR
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do ij=1,nOO
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cd = 0
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do c=nO+1,nBas-nR
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do d=nO+1,c
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cd = cd + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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2019-10-22 23:03:01 +02:00
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! + ERI(p,a,c,d)*X2(cd,ij)
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+ (ERI(p,a,c,d) + ERI(p,a,d,c))*X2(cd,ij) &
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/sqrt((1d0 + Kronecker_delta(p,a))*(1d0 + Kronecker_delta(c,d)))
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2019-10-20 08:18:58 +02:00
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=nC+1,k
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kl = kl + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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2019-10-22 23:03:01 +02:00
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! + ERI(p,a,k,l)*Y2(kl,ij)
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+ (ERI(p,a,k,l) + ERI(p,a,l,k))*Y2(kl,ij) &
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/sqrt((1d0 + Kronecker_delta(p,a))*(1d0 + Kronecker_delta(k,l)))
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2019-10-20 08:18:58 +02:00
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end do
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end do
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end do
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end do
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end do
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end if
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!----------------------------------------------
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! Triplet manifold
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!----------------------------------------------
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if(ispin == 2) then
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do p=nC+1,nBas-nR
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do i=nC+1,nO
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do ab=1,nVV
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cd = 0
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do c=nO+1,nBas-nR
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do d=nO+1,c-1
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cd = cd + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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+ (ERI(p,i,c,d) - ERI(p,i,d,c))*X1(cd,ab)
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=nC+1,k-1
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kl = kl + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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+ (ERI(p,i,k,l) - ERI(p,i,l,k))*Y1(kl,ab)
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end do
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end do
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end do
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end do
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do a=nO+1,nBas-nR
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do ij=1,nOO
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cd = 0
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do c=nO+1,nBas-nR
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do d=nO+1,c-1
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cd = cd + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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+ (ERI(p,a,c,d) - ERI(p,a,d,c))*X2(cd,ij)
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=nC+1,k-1
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kl = kl + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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+ (ERI(p,a,k,l) - ERI(p,a,l,k))*Y2(kl,ij)
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end do
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end do
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end do
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end do
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end do
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end if
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2019-10-17 22:07:41 +02:00
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2019-10-23 08:22:36 +02:00
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!----------------------------------------------
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! Spinorbital basis
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!----------------------------------------------
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if(ispin == 3) then
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do p=nC+1,nBas-nR
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do i=nC+1,nO
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do ab=1,nVV
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cd = 0
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do c=nO+1,nBas-nR
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do d=c+1,nBas-nR
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cd = cd + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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+ (ERI(p,i,c,d) - ERI(p,i,d,c))*X1(cd,ab)
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=k+1,nO
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kl = kl + 1
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rho1(p,i,ab) = rho1(p,i,ab) &
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+ (ERI(p,i,k,l) - ERI(p,i,l,k))*Y1(kl,ab)
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end do
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end do
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end do
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end do
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do a=nO+1,nBas-nR
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do ij=1,nOO
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cd = 0
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do c=nO+1,nBas-nR
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2019-10-28 16:34:09 +01:00
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do d=c+1,nBas-nR
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2019-10-23 08:22:36 +02:00
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cd = cd + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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+ (ERI(p,a,c,d) - ERI(p,a,d,c))*X2(cd,ij)
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end do
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end do
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kl = 0
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do k=nC+1,nO
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do l=k+1,nO
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kl = kl + 1
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rho2(p,a,ij) = rho2(p,a,ij) &
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+ (ERI(p,a,k,l) - ERI(p,a,l,k))*Y2(kl,ij)
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end do
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end do
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end do
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end do
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2019-10-28 16:34:09 +01:00
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2019-10-23 08:22:36 +02:00
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end do
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end if
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2019-10-06 22:35:36 +02:00
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end subroutine excitation_density_Tmatrix
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