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qp2/src/mol_properties/multi_s_deriv_1.irp.f

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2023-03-11 22:31:57 +01:00
BEGIN_PROVIDER [double precision, multi_s_deriv_1, (N_states, N_states)]
&BEGIN_PROVIDER [double precision, multi_s_x_deriv_1, (N_states, N_states)]
&BEGIN_PROVIDER [double precision, multi_s_y_deriv_1, (N_states, N_states)]
&BEGIN_PROVIDER [double precision, multi_s_z_deriv_1, (N_states, N_states)]
implicit none
BEGIN_DOC
! Providers for :
! <Psi_m|v_x|Psi_n>
! <Psi_m|v_y|Psi_n>
! <Psi_m|v_z|Psi_n>
! ||v|| = sqrt(v_x^2 + v_y^2 + v_z^2)
! v_x = d/dx
! Cf. multi_s_dipole_moment for the equations
END_DOC
integer :: istate,jstate ! States
integer :: i,j ! general spatial MOs
double precision :: nuclei_part_x, nuclei_part_y, nuclei_part_z
multi_s_x_deriv_1 = 0.d0
multi_s_y_deriv_1 = 0.d0
multi_s_z_deriv_1 = 0.d0
do jstate = 1, N_states
do istate = 1, N_states
do i = 1, mo_num
do j = 1, mo_num
multi_s_x_deriv_1(istate,jstate) -= one_e_tr_dm_mo(j,i,istate,jstate) * mo_deriv_1_x(j,i)
multi_s_y_deriv_1(istate,jstate) -= one_e_tr_dm_mo(j,i,istate,jstate) * mo_deriv_1_y(j,i)
multi_s_z_deriv_1(istate,jstate) -= one_e_tr_dm_mo(j,i,istate,jstate) * mo_deriv_1_z(j,i)
enddo
enddo
enddo
enddo
! Nuclei part
nuclei_part_x = 0.d0
nuclei_part_y = 0.d0
nuclei_part_z = 0.d0
do i = 1,nucl_num
nuclei_part_x += nucl_charge(i) * nucl_coord(i,1)
nuclei_part_y += nucl_charge(i) * nucl_coord(i,2)
nuclei_part_z += nucl_charge(i) * nucl_coord(i,3)
enddo
! Only if istate = jstate, otherwise 0 by the orthogonality of the states
do istate = 1, N_states
multi_s_x_deriv_1(istate,istate) += nuclei_part_x
multi_s_y_deriv_1(istate,istate) += nuclei_part_y
multi_s_z_deriv_1(istate,istate) += nuclei_part_z
enddo
! d = <Psi|r|Psi>
do jstate = 1, N_states
do istate = 1, N_states
multi_s_deriv_1(istate,jstate) = &
dsqrt(multi_s_x_deriv_1(istate,jstate)**2 &
+ multi_s_y_deriv_1(istate,jstate)**2 &
+ multi_s_z_deriv_1(istate,jstate)**2)
enddo
enddo
END_PROVIDER