CID and CISD

This commit is contained in:
Pierre-Francois Loos 2022-01-04 11:39:33 +01:00
parent 3cf1159cf0
commit f6270a0ba5
11 changed files with 497 additions and 140 deletions

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@ -7,7 +7,7 @@
# drCCD rCCD crCCD lCCD
F F F F
# CIS* CIS(D) CID CISD FCI
F F F F F
F F T T F
# RPA* RPAx* crRPA ppRPA
F F F F
# G0F2* evGF2* qsGF2* G0F3 evGF3
@ -15,7 +15,7 @@
# G0W0* evGW* qsGW* ufG0W0 ufGW
F F F F F
# G0T0 evGT qsGT
T F F
F F F
# MCMP2
F
# * unrestricted version available

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@ -15,6 +15,6 @@
# ACFDT: AC Kx XBS
F F F
# BSE: BSE dBSE dTDA evDyn
T F T F
T T T F
# MCMP2: nMC nEq nWalk dt nPrint iSeed doDrift
1000000 100000 10 0.3 10000 1234 T

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@ -1,4 +1,4 @@
2
H 0. 0. 0.
H 0. 0. 1.0
H 0. 0. 2.000000

218
src/CI/CID.f90 Normal file
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@ -0,0 +1,218 @@
subroutine CID(singlet_manifold,triplet_manifold,nBasin,nCin,nOin,nVin,nRin,ERIin,Fin,E0)
! Perform configuration interaction with doubles
implicit none
include 'parameters.h'
! Input variables
logical,intent(in) :: singlet_manifold
logical,intent(in) :: triplet_manifold
integer,intent(in) :: nBasin
integer,intent(in) :: nCin
integer,intent(in) :: nOin
integer,intent(in) :: nVin
integer,intent(in) :: nRin
double precision,intent(in) :: Fin(nBasin,nBasin)
double precision,intent(in) :: ERIin(nBasin,nBasin,nBasin,nBasin)
double precision,intent(in) :: E0
! Local variables
integer :: nBas
integer :: nC
integer :: nO
integer :: nV
integer :: nR
double precision,allocatable :: F(:,:)
double precision,allocatable :: sERI(:,:,:,:)
double precision,allocatable :: ERI(:,:,:,:)
logical :: dump_trans = .false.
integer :: i,j,k,l
integer :: a,b,c,d
integer :: ia,kc,iajb,kcld
integer :: ishift,jshift
integer :: ispin
integer :: nD
integer :: nH
integer :: maxH
double precision,external :: Kronecker_delta
double precision,allocatable :: H(:,:)
double precision,allocatable :: ECID(:)
double precision :: tmp
! Hello world
write(*,*)
write(*,*)'******************************************************'
write(*,*)'| Configuration Interaction with Singles and Doubles |'
write(*,*)'******************************************************'
write(*,*)
! Spatial to spin orbitals
nBas = 2*nBasin
nC = 2*nCin
nO = 2*nOin
nV = 2*nVin
nR = 2*nRin
allocate(F(nBas,nBas),sERI(nBas,nBas,nBas,nBas))
call spatial_to_spin_fock(nBasin,Fin,nBas,F)
call spatial_to_spin_ERI(nBasin,ERIin,nBas,sERI)
! Antysymmetrize ERIs
allocate(ERI(nBas,nBas,nBas,nBas))
call antisymmetrize_ERI(2,nBas,sERI,ERI)
deallocate(sERI)
! Compute CID matrix
nD = (nO - nC)*(nO - nC - 1)/2*(nV - nR)*(nV - nR - 1)/2
nH = 1 + nD
write(*,*) 'nD = ',nD
write(*,*) 'nH = ',nH
write(*,*)
maxH = min(nH,21)
! Memory allocation
allocate(H(nH,nH),ECID(nH))
! 00 block
ishift = 0
jshift = 0
H(ishift+1,jshift+1) = E0
print*,'00 block done...'
! 0D blocks
ishift = 0
jshift = 1
iajb = 0
do i=nC+1,nO
do a=1,nV-nR
do j=i+1,nO
do b=a+1,nV-nR
iajb = iajb + 1
tmp = ERI(i,j,nO+a,nO+b)
H(ishift+1,jshift+iajb) = tmp
H(jshift+iajb,ishift+1) = tmp
end do
end do
end do
end do
print*,'0D blocks done...'
! DD block
ishift = 1
jshift = 1
iajb = 0
do i=nC+1,nO
do a=1,nV-nR
do j=i+1,nO
do b=a+1,nV-nR
iajb = iajb + 1
kcld = 0
do k=nC+1,nO
do c=1,nV-nR
do l=k+1,nO
do d=c+1,nV-nR
kcld = kcld + 1
tmp = &
E0*Kronecker_delta(i,k)*Kronecker_delta(j,l)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ F(l,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(i,k) &
- F(l,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(i,k) &
- F(k,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(i,l) &
+ F(k,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(i,l) &
- F(l,i)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(j,k) &
+ F(l,i)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(j,k) &
+ F(k,i)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(j,l) &
- F(k,i)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(j,l) &
+ F(nO+a,nO+d)*Kronecker_delta(b,c)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
- F(nO+a,nO+c)*Kronecker_delta(b,d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
- F(nO+a,nO+d)*Kronecker_delta(b,c)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ F(nO+a,nO+c)*Kronecker_delta(b,d)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- F(nO+b,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ F(nO+b,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ F(nO+b,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- F(nO+b,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- ERI(k,l,i,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c) &
+ ERI(k,l,i,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ ERI(nO+a,l,nO+d,j)*Kronecker_delta(b,c)*Kronecker_delta(i,k) &
- ERI(nO+a,l,nO+c,j)*Kronecker_delta(b,d)*Kronecker_delta(i,k) &
- ERI(nO+a,k,nO+d,j)*Kronecker_delta(b,c)*Kronecker_delta(i,l) &
+ ERI(nO+a,k,nO+c,j)*Kronecker_delta(b,d)*Kronecker_delta(i,l) &
- ERI(nO+a,l,nO+d,i)*Kronecker_delta(b,c)*Kronecker_delta(j,k) &
+ ERI(nO+a,l,nO+c,i)*Kronecker_delta(b,d)*Kronecker_delta(j,k) &
+ ERI(nO+a,k,nO+d,i)*Kronecker_delta(b,c)*Kronecker_delta(j,l) &
- ERI(nO+a,k,nO+c,i)*Kronecker_delta(b,d)*Kronecker_delta(j,l) &
- ERI(nO+b,l,nO+d,j)*Kronecker_delta(a,c)*Kronecker_delta(i,k) &
+ ERI(nO+b,l,nO+c,j)*Kronecker_delta(a,d)*Kronecker_delta(i,k) &
+ ERI(nO+b,k,nO+d,j)*Kronecker_delta(a,c)*Kronecker_delta(i,l) &
- ERI(nO+b,k,nO+c,j)*Kronecker_delta(a,d)*Kronecker_delta(i,l) &
+ ERI(nO+b,l,nO+d,i)*Kronecker_delta(a,c)*Kronecker_delta(j,k) &
- ERI(nO+b,l,nO+c,i)*Kronecker_delta(a,d)*Kronecker_delta(j,k) &
- ERI(nO+b,k,nO+d,i)*Kronecker_delta(a,c)*Kronecker_delta(j,l) &
+ ERI(nO+b,k,nO+c,i)*Kronecker_delta(a,d)*Kronecker_delta(j,l) &
- ERI(nO+a,nO+b,nO+c,nO+d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ ERI(nO+a,nO+b,nO+c,nO+d)*Kronecker_delta(i,k)*Kronecker_delta(j,l)
H(ishift+iajb,jshift+kcld) = tmp
end do
end do
end do
end do
end do
end do
end do
end do
print*,'DD block done...'
write(*,*)
write(*,*) 'Diagonalizing CID matrix...'
write(*,*)
call diagonalize_matrix(nH,H,ECID)
print*,'CID energies (au)'
call matout(maxH,1,ECID)
write(*,*)
print*,'CID excitation energies (eV)'
call matout(maxH-1,1,(ECID(2:maxH)-ECID(1))*HaToeV)
write(*,*)
if(dump_trans) then
print*,'Singlet CID transition vectors'
call matout(nH,nH,H)
write(*,*)
endif
end subroutine CID

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@ -1,4 +1,4 @@
subroutine CISD(singlet_manifold,triplet_manifold,nBas,nC,nO,nV,nR,ERI,eHF)
subroutine CISD(singlet_manifold,triplet_manifold,nBasin,nCin,nOin,nVin,nRin,ERIin,Fin,E0)
! Perform configuration interaction with singles and doubles
@ -9,23 +9,42 @@ subroutine CISD(singlet_manifold,triplet_manifold,nBas,nC,nO,nV,nR,ERI,eHF)
logical,intent(in) :: singlet_manifold
logical,intent(in) :: triplet_manifold
integer,intent(in) :: nBas,nC,nO,nV,nR
double precision,intent(in) :: eHF(nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
integer,intent(in) :: nBasin
integer,intent(in) :: nCin
integer,intent(in) :: nOin
integer,intent(in) :: nVin
integer,intent(in) :: nRin
double precision,intent(in) :: Fin(nBasin,nBasin)
double precision,intent(in) :: ERIin(nBasin,nBasin,nBasin,nBasin)
double precision,intent(in) :: E0
! Local variables
integer :: nBas
integer :: nC
integer :: nO
integer :: nV
integer :: nR
double precision,allocatable :: F(:,:)
double precision,allocatable :: sERI(:,:,:,:)
double precision,allocatable :: ERI(:,:,:,:)
logical :: dump_trans = .false.
integer :: i,j,k,l
integer :: a,b,c,d
integer :: ia,jb,iajb,kcld
integer :: ia,kc,iajb,kcld
integer :: ishift,jshift
integer :: ispin
integer :: nS
integer :: nD
integer :: nSD
integer :: nH
integer :: maxH
double precision,external :: Kronecker_delta
double precision,allocatable :: H(:,:),Omega(:)
double precision,allocatable :: H(:,:)
double precision,allocatable :: ECISD(:)
double precision :: tmp
! Hello world
@ -35,170 +54,257 @@ subroutine CISD(singlet_manifold,triplet_manifold,nBas,nC,nO,nV,nR,ERI,eHF)
write(*,*)'******************************************************'
write(*,*)
! Compute CIS matrix
! Spatial to spin orbitals
if(singlet_manifold) then
nBas = 2*nBasin
nC = 2*nCin
nO = 2*nOin
nV = 2*nVin
nR = 2*nRin
ispin = 1
allocate(F(nBas,nBas),sERI(nBas,nBas,nBas,nBas))
! Dimensions
call spatial_to_spin_fock(nBasin,Fin,nBas,F)
call spatial_to_spin_ERI(nBasin,ERIin,nBas,sERI)
nS = (nO - nC)*(nV - nR)
nD = (nO - nC)*(nO - nC + 1)/2*(nV - nR)*(nV - nR + 1)/2
nSD = 1 + nS + nD
! Antysymmetrize ERIs
print*,'nS = ',nS
print*,'nD = ',nD
print*,'nSD = ',nSD
allocate(ERI(nBas,nBas,nBas,nBas))
! Memory allocation
call antisymmetrize_ERI(2,nBas,sERI,ERI)
allocate(H(nSD,nSD),Omega(nSD))
! 0D block
deallocate(sERI)
ishift = 0
jshift = 1 + nS
! Compute CISD matrix
iajb = 0
nS = (nO - nC)*(nV - nR)
nD = (nO - nC)*(nO - nC - 1)/2*(nV - nR)*(nV - nR - 1)/2
nH = 1 + nS + nD
do i=nC+1,nO
do a=1,nV-nR
do j=i,nO
do b=a,nV-nR
write(*,*) 'nS = ',nS
write(*,*) 'nD = ',nD
write(*,*) 'nH = ',nH
write(*,*)
iajb = iajb + 1
H(ishift+1,jshift+iajb) = ERI(i,j,nO+a,nO+b)
maxH = min(nH,21)
! Memory allocation
allocate(H(nH,nH),ECISD(nH))
! 00 block
ishift = 0
jshift = 0
H(ishift+1,jshift+1) = E0
print*,'00 block done...'
! 0S blocks
ishift = 0
jshift = 1
ia = 0
do i=nC+1,nO
do a=1,nV-nR
ia = ia + 1
tmp = F(i,nO+a)
H(ishift+1,jshift+ia) = tmp
H(jshift+ia,ishift+1) = tmp
end do
end do
print*,'0S blocks done...'
! 0D blocks
ishift = 0
jshift = 1 + nS
iajb = 0
do i=nC+1,nO
do a=1,nV-nR
do j=i+1,nO
do b=a+1,nV-nR
iajb = iajb + 1
tmp = ERI(i,j,nO+a,nO+b)
H(ishift+1,jshift+iajb) = tmp
H(jshift+iajb,ishift+1) = tmp
end do
end do
end do
end do
! SS block
end do
print*,'0D blocks done...'
ishift = 1
jshift = 1
! SS block
ia = 0
jb = 0
ishift = 1
jshift = 1
do i=nC+1,nO
do a=1,nV-nR
ia = 0
do i=nC+1,nO
do a=1,nV-nR
ia = ia + 1
ia = ia + 1
kc = 0
do k=nC+1,nO
do c=1,nV-nR
do j=nC+1,nO
do b=1,nV-nR
kc = kc + 1
tmp = E0*Kronecker_delta(i,k)*Kronecker_delta(a,c) &
- F(i,k)*Kronecker_delta(a,c) &
+ F(nO+a,nO+c)*Kronecker_delta(i,k) &
- ERI(nO+a,k,nO+c,i)
jb = jb + 1
H(ishift+ia,jshift+kc) = tmp
H(ishift+ia,jshift+jb) &
= Kronecker_delta(i,j)*Kronecker_delta(a,b)*(eHF(nO+a) - eHF(i)) &
+ ERI(nO+a,j,i,nO+b) - ERI(nO+a,j,nO+b,i)
end do
end do
end do
end do
! SD block
end do
ishift = 1
jshift = 1 + nS
print*,'SS block done...'
ia = 0
kcld = 0
! SD blocks
do i=nC+1,nO
do a=1,nV-nR
ishift = 1
jshift = 1 + nS
ia = ia + 1
ia = 0
do i=nC+1,nO
do a=1,nV-nR
do k=nC+1,nO
do c=1,nV-nR
do l=k,nO
do d=c,nV-nR
ia = ia + 1
kcld = 0
kcld = kcld + 1
do k=nC+1,nO
do c=1,nV-nR
do l=k+1,nO
do d=c+1,nV-nR
H(ishift+ia,jshift+kcld) &
= Kronecker_delta(i,k)*(ERI(nO+a,l,nO+c,nO+d) - ERI(nO+a,l,nO+d,nO+c)) &
- Kronecker_delta(i,l)*(ERI(nO+a,k,nO+c,nO+d) - ERI(nO+a,k,nO+d,nO+c)) &
- Kronecker_delta(a,c)*(ERI(k,l,i,nO+d) - ERI(k,l,nO+d,i)) &
+ Kronecker_delta(a,d)*(ERI(k,l,i,nO+c) - ERI(k,l,nO+c,i))
kcld = kcld + 1
tmp = - F(l,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,k) &
+ F(l,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,k) &
- F(k,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,l) &
+ F(k,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,l) &
- ERI(k,l,nO+d,i)*Kronecker_delta(a,c) &
+ ERI(k,l,nO+c,i)*Kronecker_delta(a,d) &
- ERI(nO+a,l,nO+c,nO+d)*Kronecker_delta(i,k) &
+ ERI(nO+a,k,nO+c,nO+d)*Kronecker_delta(i,l)
H(ishift+ia,jshift+kcld) = tmp
H(jshift+kcld,ishift+ia) = tmp
end do
end do
end do
end do
end do
end do
end do
! DD block
print*,'SD blocks done...'
ishift = 1 + nS
jshift = 1 + nS
! DD block
iajb = 0
kcld = 0
ishift = 1 + nS
jshift = 1 + nS
do i=nC+1,nO
do a=1,nV-nR
do j=i,nO
do b=a,nV-nR
iajb = 0
do i=nC+1,nO
do a=1,nV-nR
do j=i+1,nO
do b=a+1,nV-nR
iajb = iajb + 1
iajb = iajb + 1
do k=nC+1,nO
do c=1,nV-nR
do l=k,nO
do d=c,nV-nR
kcld = kcld + 1
! H(ishift+iajb,jshift+kcld) &
! = Kronecker_delta(i,k)*(ERI(a,l,c,d) - ERI(a,l,d,c)) &
! - Kronecker_delta(i,l)*(ERI(a,k,c,d) - ERI(a,k,d,c)) &
! - Kronecker_delta(a,c)*(ERI(k,l,i,d) - ERI(k,l,d,i)) &
! + Kronecker_delta(a,d)*(ERI(k,l,i,c) - ERI(k,l,c,i))
end do
kcld = 0
do k=nC+1,nO
do c=1,nV-nR
do l=k+1,nO
do d=c+1,nV-nR
kcld = kcld + 1
tmp = &
E0*Kronecker_delta(i,k)*Kronecker_delta(j,l)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ F(l,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(i,k) &
- F(l,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(i,k) &
- F(k,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(i,l) &
+ F(k,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(i,l) &
- F(l,i)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(j,k) &
+ F(l,i)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(j,k) &
+ F(k,i)*Kronecker_delta(a,d)*Kronecker_delta(b,c)*Kronecker_delta(j,l) &
- F(k,i)*Kronecker_delta(a,c)*Kronecker_delta(b,d)*Kronecker_delta(j,l) &
+ F(nO+a,nO+d)*Kronecker_delta(b,c)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
- F(nO+a,nO+c)*Kronecker_delta(b,d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
- F(nO+a,nO+d)*Kronecker_delta(b,c)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
+ F(nO+a,nO+c)*Kronecker_delta(b,d)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- F(nO+b,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ F(nO+b,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ F(nO+b,nO+d)*Kronecker_delta(a,c)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- F(nO+b,nO+c)*Kronecker_delta(a,d)*Kronecker_delta(i,k)*Kronecker_delta(j,l) &
- ERI(k,l,i,j)*Kronecker_delta(a,d)*Kronecker_delta(b,c) &
+ ERI(k,l,i,j)*Kronecker_delta(a,c)*Kronecker_delta(b,d) &
+ ERI(nO+a,l,nO+d,j)*Kronecker_delta(b,c)*Kronecker_delta(i,k) &
- ERI(nO+a,l,nO+c,j)*Kronecker_delta(b,d)*Kronecker_delta(i,k) &
- ERI(nO+a,k,nO+d,j)*Kronecker_delta(b,c)*Kronecker_delta(i,l) &
+ ERI(nO+a,k,nO+c,j)*Kronecker_delta(b,d)*Kronecker_delta(i,l) &
- ERI(nO+a,l,nO+d,i)*Kronecker_delta(b,c)*Kronecker_delta(j,k) &
+ ERI(nO+a,l,nO+c,i)*Kronecker_delta(b,d)*Kronecker_delta(j,k) &
+ ERI(nO+a,k,nO+d,i)*Kronecker_delta(b,c)*Kronecker_delta(j,l) &
- ERI(nO+a,k,nO+c,i)*Kronecker_delta(b,d)*Kronecker_delta(j,l) &
- ERI(nO+b,l,nO+d,j)*Kronecker_delta(a,c)*Kronecker_delta(i,k) &
+ ERI(nO+b,l,nO+c,j)*Kronecker_delta(a,d)*Kronecker_delta(i,k) &
+ ERI(nO+b,k,nO+d,j)*Kronecker_delta(a,c)*Kronecker_delta(i,l) &
- ERI(nO+b,k,nO+c,j)*Kronecker_delta(a,d)*Kronecker_delta(i,l) &
+ ERI(nO+b,l,nO+d,i)*Kronecker_delta(a,c)*Kronecker_delta(j,k) &
- ERI(nO+b,l,nO+c,i)*Kronecker_delta(a,d)*Kronecker_delta(j,k) &
- ERI(nO+b,k,nO+d,i)*Kronecker_delta(a,c)*Kronecker_delta(j,l) &
+ ERI(nO+b,k,nO+c,i)*Kronecker_delta(a,d)*Kronecker_delta(j,l) &
- ERI(nO+a,nO+b,nO+c,nO+d)*Kronecker_delta(i,l)*Kronecker_delta(j,k) &
+ ERI(nO+a,nO+b,nO+c,nO+d)*Kronecker_delta(i,k)*Kronecker_delta(j,l)
H(ishift+iajb,jshift+kcld) = tmp
end do
end do
end do
end do
end do
end do
end do
end do
call diagonalize_matrix(nSD,H,Omega)
call print_excitation('CISD ',ispin,nS,Omega)
if(dump_trans) then
print*,'Singlet CISD transition vectors'
call matout(nSD,nSD,H)
write(*,*)
endif
print*,'DD block done...'
write(*,*)
write(*,*) 'Diagonalizing CISD matrix...'
write(*,*)
call diagonalize_matrix(nH,H,ECISD)
print*,'CISD energies (au)'
call matout(maxH,1,ECISD)
write(*,*)
print*,'CISD excitation energies (eV)'
call matout(maxH-1,1,(ECISD(2:maxH)-ECISD(1))*HaToeV)
write(*,*)
if(dump_trans) then
print*,'Singlet CISD transition vectors'
call matout(nH,nH,H)
write(*,*)
endif
! if(triplet_manifold) then
! ispin = 2
!
! call diagonalize_matrix(nSD,H,Omega)
! call print_excitation('CISD ',ispin,nSD,Omega)
! if(dump_trans) then
! print*,'Triplet CIS transition vectors'
! call matout(nSD,nSD,H)
! write(*,*)
! endif
! endif
end subroutine CISD

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@ -59,12 +59,12 @@ subroutine dynamic_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,lambda,eGT,Omega1,O
do cd=1,nVV
eps = + Omega1(cd)
chi = chi + rho1(i,j,cd)*rho1(a,b,cd)*eps/(eps**2 + eta**2)
chi = chi + rho1(i,a,cd)*rho1(j,b,cd)*eps/(eps**2 + eta**2)
end do
do kl=1,nOO
eps = - Omega2(kl)
chi = chi + rho2(i,j,kl)*rho2(a,b,kl)*eps/(eps**2 + eta**2)
chi = chi + rho2(i,a,kl)*rho2(j,b,kl)*eps/(eps**2 + eta**2)
end do
A_dyn(ia,jb) = A_dyn(ia,jb) - 1d0*lambda*chi
@ -73,12 +73,12 @@ subroutine dynamic_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,lambda,eGT,Omega1,O
do cd=1,nVV
eps = + OmBSE - Omega1(cd) + (eGT(i) + eGT(j))
chi = chi + rho1(i,j,cd)*rho1(a,b,cd)*eps/(eps**2 + eta**2)
chi = chi + rho1(i,a,cd)*rho1(j,b,cd)*eps/(eps**2 + eta**2)
end do
do kl=1,nOO
eps = + OmBSE + Omega2(kl) - (eGT(a) + eGT(b))
chi = chi + rho2(i,j,kl)*rho2(a,b,kl)*eps/(eps**2 + eta**2)
chi = chi + rho2(i,a,kl)*rho2(j,b,kl)*eps/(eps**2 + eta**2)
end do
A_dyn(ia,jb) = A_dyn(ia,jb) - 1d0*lambda*chi
@ -87,12 +87,12 @@ subroutine dynamic_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,lambda,eGT,Omega1,O
do cd=1,nVV
eps = + OmBSE - Omega1(cd) + (eGT(i) + eGT(j))
chi = chi + rho1(i,j,cd)*rho1(a,b,cd)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
chi = chi + rho1(i,a,cd)*rho1(j,b,cd)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
do kl=1,nOO
eps = + OmBSE + Omega2(kl) - (eGT(a) + eGT(b))
chi = chi + rho2(i,j,kl)*rho2(a,b,kl)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
chi = chi + rho2(i,a,kl)*rho2(j,b,kl)*(eps**2 - eta**2)/(eps**2 + eta**2)**2
end do
ZA_dyn(ia,jb) = ZA_dyn(ia,jb) + 1d0*lambda*chi

View File

@ -47,13 +47,13 @@ subroutine static_Tmatrix_A(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,lambda,ERI,Omega1,rh
do cd=1,nVV
eps = + Omega1(cd)
! chi = chi + lambda*rho1(i,j,cd)*rho1(a,b,cd)*eps/(eps**2 + eta**2)
chi = chi + rho1(i,j,cd)*rho1(a,b,cd)*eps/(eps**2 + eta**2)
chi = chi + rho1(i,a,cd)*rho1(j,b,cd)*eps/(eps**2 + eta**2)
enddo
do kl=1,nOO
eps = - Omega2(kl)
! chi = chi - lambda*rho2(i,j,kl)*rho2(a,b,kl)*eps/(eps**2 + eta**2)
chi = chi + rho2(i,j,kl)*rho2(a,b,kl)*eps/(eps**2 + eta**2)
chi = chi + rho2(i,a,kl)*rho2(j,b,kl)*eps/(eps**2 + eta**2)
enddo
TA(ia,jb) = TA(ia,jb) + 1d0*lambda*chi

View File

@ -47,13 +47,13 @@ subroutine static_Tmatrix_B(eta,nBas,nC,nO,nV,nR,nS,nOO,nVV,lambda,ERI,Omega1,rh
do cd=1,nVV
eps = + Omega1(cd)
! chi = chi + lambda*rho1(i,b,cd)*rho1(a,j,cd)*Omega1(cd)/Omega1(cd)**2 + eta**2
chi = chi + rho1(i,b,cd)*rho1(a,j,cd)*eps/(eps**2 + eta**2)
chi = chi + rho1(i,j,cd)*rho1(a,b,cd)*eps/(eps**2 + eta**2)
enddo
do kl=1,nOO
eps = - Omega2(kl)
! chi = chi + lambda*rho2(i,b,kl)*rho2(a,j,kl)*Omega2(kl)/Omega2(kl)**2 + eta**2
chi = chi + rho2(i,b,kl)*rho2(a,j,kl)*eps/(eps**2 + eta**2)
chi = chi + rho2(i,j,kl)*rho2(a,b,kl)*eps/(eps**2 + eta**2)
enddo
TB(ia,jb) = TB(ia,jb) + 1d0*lambda*chi

View File

@ -1,4 +1,4 @@
subroutine RHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T,V,Hc,ERI,dipole_int,X,ERHF,e,c,P,Vx)
subroutine RHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T,V,Hc,F,ERI,dipole_int,X,ERHF,e,c,P,Vx)
! Perform restricted Hartree-Fock calculation
@ -45,7 +45,6 @@ subroutine RHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T
double precision,allocatable :: J(:,:)
double precision,allocatable :: K(:,:)
double precision,allocatable :: cp(:,:)
double precision,allocatable :: F(:,:)
double precision,allocatable :: Fp(:,:)
double precision,allocatable :: ON(:)
@ -56,6 +55,7 @@ subroutine RHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T
double precision,intent(out) :: c(nBas,nBas)
double precision,intent(out) :: P(nBas,nBas)
double precision,intent(out) :: Vx(nBas)
double precision,intent(out) :: F(nBas,nBas)
! Hello world
@ -72,7 +72,7 @@ subroutine RHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T
! Memory allocation
allocate(J(nBas,nBas),K(nBas,nBas),error(nBas,nBas), &
cp(nBas,nBas),Fp(nBas,nBas),F(nBas,nBas),ON(nBas), &
cp(nBas,nBas),Fp(nBas,nBas),ON(nBas), &
error_diis(nBasSq,max_diis),F_diis(nBasSq,max_diis))
! Guess coefficients and eigenvalues

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@ -64,6 +64,8 @@ program QuAcK
double precision,allocatable :: dipole_int_MO(:,:,:)
double precision,allocatable :: dipole_int_aa(:,:,:)
double precision,allocatable :: dipole_int_bb(:,:,:)
double precision,allocatable :: F_AO(:,:)
double precision,allocatable :: F_MO(:,:)
double precision,allocatable :: ERI_AO(:,:,:,:)
double precision,allocatable :: ERI_MO(:,:,:,:)
integer :: ixyz
@ -247,7 +249,7 @@ program QuAcK
allocate(cHF(nBas,nBas,nspin),eHF(nBas,nspin),eG0W0(nBas,nspin),eG0T0(nBas,nspin),PHF(nBas,nBas,nspin), &
S(nBas,nBas),T(nBas,nBas),V(nBas,nBas),Hc(nBas,nBas),X(nBas,nBas),ERI_AO(nBas,nBas,nBas,nBas), &
dipole_int_AO(nBas,nBas,ncart),dipole_int_MO(nBas,nBas,ncart),Vxc(nBas,nspin))
dipole_int_AO(nBas,nBas,ncart),dipole_int_MO(nBas,nBas,ncart),Vxc(nBas,nspin),F_AO(nBas,nBas))
! Read integrals
@ -291,7 +293,7 @@ program QuAcK
call cpu_time(start_HF)
call RHF(maxSCF_HF,thresh_HF,n_diis_HF,guess_type,nNuc,ZNuc,rNuc,ENuc, &
nBas,nO,S,T,V,Hc,ERI_AO,dipole_int_AO,X,ERHF,eHF,cHF,PHF,Vxc)
nBas,nO,S,T,V,Hc,F_AO,ERI_AO,dipole_int_AO,X,ERHF,eHF,cHF,PHF,Vxc)
call cpu_time(end_HF)
t_HF = end_HF - start_HF
@ -433,6 +435,7 @@ program QuAcK
! Memory allocation
allocate(ERI_MO(nBas,nBas,nBas,nBas))
allocate(F_MO(nBas,nBas))
! Read and transform dipole-related integrals
@ -448,7 +451,8 @@ program QuAcK
ket1 = 1
ket2 = 1
call AOtoMO_integral_transform(bra1,bra2,ket1,ket2,nBas,cHF,ERI_AO,ERI_MO)
! call AOtoMO_transform(nBas,cHF,T+V)
F_MO(:,:) = F_AO(:,:)
call AOtoMO_transform(nBas,cHF,F_MO)
end if
end if
@ -734,7 +738,7 @@ program QuAcK
if(doCID) then
call cpu_time(start_CID)
! call CID(singlet,triplet,nBas,nC,nO,nV,nR,ERI_MO,eHF)
call CID(singlet,triplet,nBas,nC,nO,nV,nR,ERI_MO,F_MO,ERHF)
call cpu_time(end_CID)
t_CID = end_CID - start_CID
@ -750,7 +754,7 @@ program QuAcK
if(doCISD) then
call cpu_time(start_CISD)
! call CISD(singlet,triplet,nBas,nC,nO,nV,nR,ERI_MO,eHF)
call CISD(singlet,triplet,nBas,nC,nO,nV,nR,ERI_MO,F_MO,ERHF)
call cpu_time(end_CISD)
t_CISD = end_CISD - start_CISD

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@ -0,0 +1,29 @@
subroutine spatial_to_spin_fock(nBas,F,nBas2,sF)
! Convert Fock matrix from spatial to spin orbitals
implicit none
! Input variables
integer,intent(in) :: nBas,nBas2
double precision,intent(in) :: F(nBas,nBas)
! Local variables
integer :: p,q
double precision,external :: Kronecker_delta
! Output variables
double precision,intent(out) :: sF(nBas2,nBas2)
do p=1,nBas2
do q=1,nBas2
sF(p,q) = Kronecker_delta(mod(p,2),mod(q,2))*F((p+1)/2,(q+1)/2)
enddo
enddo
end subroutine spatial_to_spin_fock