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@ -32,7 +32,7 @@ subroutine print_GHF(nBas,nBas2,nO,eHF,C,P,S,ENuc,ET,EV,EJ,EK,EGHF,dipole)
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double precision :: Gap
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double precision :: Gap
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double precision :: Sx ,Sy ,Sz
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double precision :: Sx ,Sy ,Sz
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double precision :: Sx2,Sy2,Sz2
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double precision :: Sx2,Sy2,Sz2
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double precision :: S2
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double precision :: SmSp,SpSm,S2
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double precision,allocatable :: Ca(:,:)
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double precision,allocatable :: Ca(:,:)
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double precision,allocatable :: Cb(:,:)
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double precision,allocatable :: Cb(:,:)
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@ -82,27 +82,54 @@ subroutine print_GHF(nBas,nBas2,nO,eHF,C,P,S,ENuc,ET,EV,EJ,EK,EGHF,dipole)
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! Compute <S^2> = <Sx^2> + <Sy^2> + <Sz^2>
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! Compute <S^2> = <Sx^2> + <Sy^2> + <Sz^2>
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Sx2 = 0.25d0*trace_matrix(nO,Paa+Pbb) + 0.25d0*trace_matrix(nO,Pab+Pba)**2 &
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SpSm = 0d0
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- 0.5d0*trace_matrix(nO,matmul(Paa,Pbb) + matmul(Pab,Pab))
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do i=1,nO
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do j=1,nO
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SpSm = SpSm + Pab(i,i)*Pba(j,j) - Pab(i,j)*Pba(j,i)
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end do
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end do
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SpSm = 0.5d0*(trace_matrix(nO,Paa) + SpSm)
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Sx2 = trace_matrix(
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! Sx2 = 0.25d0*trace_matrix(nO,Paa+Pbb) + 0.25d0*trace_matrix(nO,Pab+Pba)**2 &
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! - 0.5d0*trace_matrix(nO,matmul(Paa,Pbb) + matmul(Pab,Pab))
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Sy2 = 0.25d0*trace_matrix(nO,Paa+Pbb) - 0.25d0*trace_matrix(nO,Pab-Pba)**2 &
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SmSp = 0d0
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- 0.5d0*trace_matrix(nO,matmul(Paa,Pbb) - matmul(Pab,Pab))
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do i=1,nO
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do j=1,nO
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SmSp = SmSp + Pba(i,i)*Pab(j,j) - Pba(i,j)*Pab(j,i)
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end do
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end do
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SmSp = 0.5d0*(trace_matrix(nO,Pbb) + SmSp)
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Sz2 = 0.25d0*trace_matrix(nO,Paa+Pbb) + 0.25d0*trace_matrix(nO,Paa-Pbb)**2 &
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! Sy2 = 0.25d0*trace_matrix(nO,Paa+Pbb) - 0.25d0*trace_matrix(nO,Pab-Pba)**2 &
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- 0.25d0*trace_matrix(nO,matmul(Paa,Paa) + matmul(Pbb,Pbb)) &
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! - 0.5d0*trace_matrix(nO,matmul(Paa,Pbb) - matmul(Pab,Pab))
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+ 0.25d0*trace_matrix(nO,matmul(Pab,Pba) + matmul(Pba,Pab))
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Sz2 = 0d0
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do i=1,nO
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do j=1,nO
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Sz2 = Sz2 + (Paa(i,i) - Pbb(i,i))*(Paa(j,j) - Pbb(j,j)) - (Paa(i,j) - Pbb(i,j))**2
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end do
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end do
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Sz2 = 0.25d0*(dble(nO) + Sz2)
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print*,'<Sz^2> = ',Sz2
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Sz2 = 0.25d0*trace_matrix(nO,Paa+Pbb) &
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- 0.25d0*trace_matrix(nO,Paa-Pbb)**2 &
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- 0.25d0*trace_matrix(nO,matmul(Paa-Pbb,Paa-Pbb))
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S2 = Sz*(Sz+1d0) + trace_matrix(nO,Pbb) + 0.25d0*trace_matrix(nO,Paa+Pbb)
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S2 = Sz*(Sz+1d0) + trace_matrix(nO,Pbb) + 0.25d0*trace_matrix(nO,Paa+Pbb)
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do i=1,nO
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do i=1,nO
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do j=1,nO
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do j=1,nO
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S2 = S2 - 0.25d0*(Paa(i,j) - Pbb(i,j))**2 &
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S2 = S2 - 0.25d0*(Paa(i,j) - Pbb(i,j))**2 &
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+ (Pba(i,i)*Pab(j,j) - Pba(i,j)*Pab(j,i))
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+ (Pba(i,i)*Pab(j,j) - Pba(i,j)*Pab(j,i))
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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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! print*,'<S^2> = ',S2
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print*,'<S^2> = ',S2
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Sx2 = 0.5d0*(S2 - Sz2 + 0.5d0*(SmSp + SpSm))
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print*,'<Sx^2> = ',Sx2
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Sy2 = 0.5d0*(S2 - Sz2 - 0.5d0*(SmSp + SpSm))
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print*,'<Sy^2> = ',Sy2
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! deallocate(Paa,Pab,Pba,Pbb)
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! deallocate(Paa,Pab,Pba,Pbb)
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