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quantum_package/src/MO_Basis/ao_ortho_canonical.irp.f

79 lines
2.3 KiB
Fortran

BEGIN_PROVIDER [ double precision, ao_ortho_canonical_coef, (ao_num_align,ao_num)]
&BEGIN_PROVIDER [ integer, ao_ortho_canonical_num ]
implicit none
BEGIN_DOC
! matrix of the coefficients of the mos generated by the
! orthonormalization by the S^{-1/2} canonical transformation of the aos
! ao_ortho_canonical_coef(i,j) = coefficient of the ith ao on the jth ao_ortho_canonical orbital
END_DOC
integer :: i
ao_ortho_canonical_coef(:,:) = 0.d0
if (ao_cartesian) then
do i=1,ao_num
ao_ortho_canonical_coef(i,i) = 1.d0
enddo
else
integer, external :: ao_power_index
integer :: ibegin,j,k
! Assume order provided by ao_power_index
i = 1
do while (i <= ao_num)
select case ( ao_l(i) )
case (0)
ao_ortho_canonical_coef(i,i) = 1.d0
i += 1
BEGIN_TEMPLATE
case ($SHELL)
if (ao_power(i,1) == $SHELL) then
do k=1,size(cart_to_sphe_$SHELL,2)
do j=1,size(cart_to_sphe_$SHELL,1)
ao_ortho_canonical_coef(i+j-1,i+k-1) = cart_to_sphe_$SHELL(j,k)
enddo
enddo
i += size(cart_to_sphe_$SHELL,1)
endif
SUBST [ SHELL ]
1;;
2;;
3;;
4;;
5;;
6;;
7;;
8;;
9;;
END_TEMPLATE
case default
stop 'Error in sphe_to_cart'
end select
enddo
endif
call ortho_canonical(ao_overlap,ao_num_align,ao_num,ao_ortho_canonical_coef,ao_num_align,ao_ortho_canonical_num)
END_PROVIDER
BEGIN_PROVIDER [double precision, ao_ortho_canonical_overlap, (ao_ortho_canonical_num,ao_ortho_canonical_num)]
implicit none
BEGIN_DOC
! overlap matrix of the ao_ortho_canonical.
! Expected to be the Identity
END_DOC
integer :: i,j,k,l
double precision :: c
do j=1, ao_ortho_canonical_num
do i=1, ao_ortho_canonical_num
ao_ortho_canonical_overlap(i,j) = 0.d0
enddo
enddo
do j=1, ao_ortho_canonical_num
do k=1, ao_num
c = 0.d0
do l=1, ao_num
c += ao_ortho_canonical_coef(l,j) * ao_overlap(l,k)
enddo
do i=1, ao_ortho_canonical_num
ao_ortho_canonical_overlap(i,j) += ao_ortho_canonical_coef(k,i) * c
enddo
enddo
enddo
END_PROVIDER