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QuantumPackage/docs/source/modules/ao_basis.rst

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.. _module_ao_basis:
.. program:: ao_basis
.. default-role:: option
========
ao_basis
========
This module describes the atomic orbitals basis set.
An |AO| :math:`\chi` centered on nucleus A is represented as:
.. math::
\chi_i({\bf r}) = (x-X_A)^a (y-Y_A)^b (z-Z_A)^c \sum_k c_{ki} e^{-\gamma_{ki} |{\bf r} - {\bf R}_A|^2}
The |AO| coefficients are normalized as:
.. math::
{\tilde c}_{ki} = \frac{c_{ki}}{ \int \left( (x-X_A)^a (y-Y_A)^b (z-Z_A)^c e^{-\gamma_{ki} |{\bf r} - {\bf R}_A|^2} \right)^2 dr}
.. warning::
`ao_coef` contains the |AO| coefficients given in input. These do not
include the normalization constant of the |AO|. The `ao_coef_normalized`
provider includes this normalization factor.
The |AOs| are also sorted by increasing exponent to accelerate the calculation of
the two electron integrals.
EZFIO parameters
----------------
.. option:: ao_basis
Name of the |AO| basis set
.. option:: ao_num
Number of |AOs|
.. option:: ao_prim_num
Number of primitives per |AO|
.. option:: ao_prim_num_max
Maximum number of primitives
Default: =maxval(ao_basis.ao_prim_num)
.. option:: ao_nucl
Index of the nucleus on which the |AO| is centered
.. option:: ao_power
Powers of x, y and z for each |AO|
.. option:: ao_coef
Primitive coefficients, read from input. Those should not be used directly, as the MOs are expressed on the basis of **normalized** AOs.
.. option:: ao_expo
Exponents for each primitive of each |AO|
.. option:: ao_md5
MD5 key, specific of the |AO| basis
.. option:: ao_cartesian
If |true|, use |AOs| in Cartesian coordinates (6d,10f,...)
Default: false
Providers
---------
.. c:var:: ao_coef_normalization_factor
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized (ao_num,ao_prim_num_max)
double precision, allocatable :: ao_coef_normalization_factor (ao_num)
Coefficients including the |AO| normalization
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef`
* :c:data:`ao_expo`
* :c:data:`ao_normalized`
* :c:data:`ao_num`
* :c:data:`ao_power`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
* :c:data:`primitives_normalized`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalization_libint_factor`
* :c:data:`ao_coef_normalized_ordered`
.. c:var:: ao_coef_normalization_libint_factor
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalization_libint_factor (ao_num)
|AO| normalization for interfacing with libint
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized`
* :c:data:`ao_expo`
* :c:data:`ao_l`
* :c:data:`ao_num`
* :c:data:`ao_prim_num`
.. c:var:: ao_coef_normalized
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized (ao_num,ao_prim_num_max)
double precision, allocatable :: ao_coef_normalization_factor (ao_num)
Coefficients including the |AO| normalization
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef`
* :c:data:`ao_expo`
* :c:data:`ao_normalized`
* :c:data:`ao_num`
* :c:data:`ao_power`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
* :c:data:`primitives_normalized`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalization_libint_factor`
* :c:data:`ao_coef_normalized_ordered`
.. c:var:: ao_coef_normalized_ordered
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized_ordered (ao_num,ao_prim_num_max)
double precision, allocatable :: ao_expo_ordered (ao_num,ao_prim_num_max)
Sorted primitives to accelerate 4 index |MO| transformation
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized`
* :c:data:`ao_expo`
* :c:data:`ao_num`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_expo_ordered_transp`
.. c:var:: ao_coef_normalized_ordered_transp
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized_ordered_transp (ao_prim_num_max,ao_num)
Transposed :c:data:`ao_coef_normalized_ordered`
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered`
* :c:data:`ao_num`
* :c:data:`ao_prim_num_max`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_deriv2_x`
* :c:data:`ao_deriv_1_x`
* :c:data:`ao_dipole_x`
* :c:data:`ao_integrals_n_e`
* :c:data:`ao_integrals_n_e_per_atom`
* :c:data:`ao_overlap`
* :c:data:`ao_overlap_abs`
* :c:data:`ao_pseudo_integrals_local`
* :c:data:`ao_pseudo_integrals_non_local`
* :c:data:`ao_spread_x`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
.. c:var:: ao_coef_normalized_ordered_transp_per_nucl
File : :file:`ao_basis/aos_transp.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized_ordered_transp_per_nucl (ao_prim_num_max,N_AOs_max,nucl_num)
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
.. c:var:: ao_expo_ordered
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_coef_normalized_ordered (ao_num,ao_prim_num_max)
double precision, allocatable :: ao_expo_ordered (ao_num,ao_prim_num_max)
Sorted primitives to accelerate 4 index |MO| transformation
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized`
* :c:data:`ao_expo`
* :c:data:`ao_num`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_expo_ordered_transp`
.. c:var:: ao_expo_ordered_transp
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
double precision, allocatable :: ao_expo_ordered_transp (ao_prim_num_max,ao_num)
Transposed :c:data:`ao_expo_ordered`
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered`
* :c:data:`ao_num`
* :c:data:`ao_prim_num_max`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_deriv2_x`
* :c:data:`ao_deriv_1_x`
* :c:data:`ao_dipole_x`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_integrals_n_e`
* :c:data:`ao_integrals_n_e_per_atom`
* :c:data:`ao_overlap`
* :c:data:`ao_overlap_abs`
* :c:data:`ao_pseudo_integrals_local`
* :c:data:`ao_pseudo_integrals_non_local`
* :c:data:`ao_spread_x`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
.. c:var:: ao_expo_ordered_transp_per_nucl
File : :file:`ao_basis/aos_transp.irp.f`
.. code:: fortran
double precision, allocatable :: ao_expo_ordered_transp_per_nucl (ao_prim_num_max,N_AOs_max,nucl_num)
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_prim_num`
* :c:data:`ao_prim_num_max`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
.. c:var:: ao_l
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: ao_l (ao_num)
integer :: ao_l_max
character*(128), allocatable :: ao_l_char (ao_num)
:math:`l` value of the |AO|: :math`a+b+c` in :math:`x^a y^b z^c`
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_power`
* :c:data:`l_to_character`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
* :c:data:`ao_coef_normalization_libint_factor`
* :c:data:`ao_l_char_space`
* :c:data:`nucl_list_shell_aos`
.. c:var:: ao_l_char
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: ao_l (ao_num)
integer :: ao_l_max
character*(128), allocatable :: ao_l_char (ao_num)
:math:`l` value of the |AO|: :math`a+b+c` in :math:`x^a y^b z^c`
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_power`
* :c:data:`l_to_character`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
* :c:data:`ao_coef_normalization_libint_factor`
* :c:data:`ao_l_char_space`
* :c:data:`nucl_list_shell_aos`
.. c:var:: ao_l_char_space
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
character*(4), allocatable :: ao_l_char_space (ao_num)
Converts an l value to a string
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_l`
* :c:data:`ao_num`
* :c:data:`ao_power`
.. c:var:: ao_l_max
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: ao_l (ao_num)
integer :: ao_l_max
character*(128), allocatable :: ao_l_char (ao_num)
:math:`l` value of the |AO|: :math`a+b+c` in :math:`x^a y^b z^c`
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_power`
* :c:data:`l_to_character`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
* :c:data:`ao_coef_normalization_libint_factor`
* :c:data:`ao_l_char_space`
* :c:data:`nucl_list_shell_aos`
.. c:var:: ao_power_ordered_transp_per_nucl
File : :file:`ao_basis/aos_transp.irp.f`
.. code:: fortran
integer, allocatable :: ao_power_ordered_transp_per_nucl (3,N_AOs_max,nucl_num)
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_power`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
.. c:var:: ao_prim_num_max
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer :: ao_prim_num_max
Max number of primitives.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_prim_num`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef`
* :c:data:`ao_coef_normalized`
* :c:data:`ao_coef_normalized_ordered`
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo`
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_expo_ordered_transp_per_nucl`
.. c:var:: cart_to_sphe_0
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_0 (1,1)
Spherical -> Cartesian Transformation matrix for l=0
.. c:var:: cart_to_sphe_1
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_1 (3,3)
Spherical -> Cartesian Transformation matrix for l=1
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_2
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_2 (6,5)
Spherical -> Cartesian Transformation matrix for l=2
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_3
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_3 (10,7)
Spherical -> Cartesian Transformation matrix for l=3
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_4
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_4 (15,9)
Spherical -> Cartesian Transformation matrix for l=4
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_5
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_5 (21,11)
Spherical -> Cartesian Transformation matrix for l=5
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_6
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_6 (28,13)
Spherical -> Cartesian Transformation matrix for l=6
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_7
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_7 (36,15)
Spherical -> Cartesian Transformation matrix for l=7
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_8
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_8 (45,17)
Spherical -> Cartesian Transformation matrix for l=8
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: cart_to_sphe_9
File : :file:`ao_basis/spherical_to_cartesian.irp.f`
.. code:: fortran
double precision, allocatable :: cart_to_sphe_9 (55,19)
Spherical -> Cartesian Transformation matrix for l=9
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_cart_to_sphe_coef`
.. c:var:: l_to_character
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
character*(128), allocatable :: l_to_character (0:7)
Character corresponding to the "l" value of an |AO|
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_l`
.. c:var:: n_aos_max
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: nucl_n_aos (nucl_num)
integer :: n_aos_max
Number of |AOs| per atom
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`nucl_num`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_power_ordered_transp_per_nucl`
* :c:data:`nucl_aos`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_list_shell_aos`
.. c:var:: n_pt_max_i_x
File : :file:`ao_basis/dimensions_integrals.irp.f`
.. code:: fortran
integer :: n_pt_max_integrals
integer :: n_pt_max_i_x
Number of points used in the numerical integrations.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_power`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_integrals_n_e`
* :c:data:`ao_integrals_n_e_per_atom`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
* :c:data:`gauleg_t2`
.. c:var:: n_pt_max_integrals
File : :file:`ao_basis/dimensions_integrals.irp.f`
.. code:: fortran
integer :: n_pt_max_integrals
integer :: n_pt_max_i_x
Number of points used in the numerical integrations.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_power`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_integrals_n_e`
* :c:data:`ao_integrals_n_e_per_atom`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
* :c:data:`gauleg_t2`
.. c:var:: nucl_aos
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: nucl_aos (nucl_num,N_AOs_max)
List of |AOs| centered on each atom
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Needed by:
.. hlist::
:columns: 3
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_list_shell_aos`
.. c:var:: nucl_aos_transposed
File : :file:`ao_basis/aos_transp.irp.f`
.. code:: fortran
integer, allocatable :: nucl_aos_transposed (N_AOs_max,nucl_num)
List of AOs attached on each atom
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`nucl_aos`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_power_ordered_transp_per_nucl`
.. c:var:: nucl_list_shell_aos
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: nucl_list_shell_aos (nucl_num,N_AOs_max)
integer, allocatable :: nucl_num_shell_aos (nucl_num)
Index of the shell type |AOs| and of the corresponding |AOs|
By convention, for p,d,f and g |AOs|, we take the index
of the |AO| with the the corresponding power in the x axis
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_l`
* :c:data:`ao_power`
* :c:data:`nucl_aos`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
.. c:var:: nucl_n_aos
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: nucl_n_aos (nucl_num)
integer :: n_aos_max
Number of |AOs| per atom
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`nucl_num`
Needed by:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_power_ordered_transp_per_nucl`
* :c:data:`nucl_aos`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_list_shell_aos`
.. c:var:: nucl_num_shell_aos
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer, allocatable :: nucl_list_shell_aos (nucl_num,N_AOs_max)
integer, allocatable :: nucl_num_shell_aos (nucl_num)
Index of the shell type |AOs| and of the corresponding |AOs|
By convention, for p,d,f and g |AOs|, we take the index
of the |AO| with the the corresponding power in the x axis
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_l`
* :c:data:`ao_power`
* :c:data:`nucl_aos`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Subroutines / functions
-----------------------
.. c:function:: ao_power_index:
File : :file:`ao_basis/aos.irp.f`
.. code:: fortran
integer function ao_power_index(nx,ny,nz)
Unique index given to a triplet of powers:
:math:`\frac{1}{2} (l-n_x) (l-n_x+1) + n_z + 1`
.. c:function:: ao_value:
File : :file:`ao_basis/aos_in_r.irp.f`
.. code:: fortran
double precision function ao_value(i,r)
Returns the value of the i-th ao at point $\textbf{r}$
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_nucl`
* :c:data:`ao_power`
* :c:data:`ao_prim_num`
* :c:data:`nucl_coord`
.. c:function:: give_all_aos_and_grad_and_lapl_at_r:
File : :file:`ao_basis/aos_in_r.irp.f`
.. code:: fortran
subroutine give_all_aos_and_grad_and_lapl_at_r(r,aos_array,aos_grad_array,aos_lapl_array)
input : r(1) ==> r(1) = x, r(2) = y, r(3) = z
output :
* aos_array(i) = ao(i) evaluated at $\textbf{r}$
* aos_grad_array(1,i) = $\nabla_x$ of the ao(i) evaluated at $\textbf{r}$
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_num`
* :c:data:`ao_power_ordered_transp_per_nucl`
* :c:data:`ao_prim_num`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_coord`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Called by:
.. hlist::
:columns: 3
* :c:func:`give_all_mos_and_grad_and_lapl_at_r`
.. c:function:: give_all_aos_and_grad_at_r:
File : :file:`ao_basis/aos_in_r.irp.f`
.. code:: fortran
subroutine give_all_aos_and_grad_at_r(r,aos_array,aos_grad_array)
input : r(1) ==> r(1) = x, r(2) = y, r(3) = z
output :
* aos_array(i) = ao(i) evaluated at ro
* aos_grad_array(1,i) = gradient X of the ao(i) evaluated at $\textbf{r}$
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_num`
* :c:data:`ao_power_ordered_transp_per_nucl`
* :c:data:`ao_prim_num`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_coord`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Called by:
.. hlist::
:columns: 3
* :c:func:`give_all_mos_and_grad_at_r`
.. c:function:: give_all_aos_at_r:
File : :file:`ao_basis/aos_in_r.irp.f`
.. code:: fortran
subroutine give_all_aos_at_r(r,aos_array)
input : r == r(1) = x and so on
output : aos_array(i) = aos(i) evaluated in $\textbf{r}$
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp_per_nucl`
* :c:data:`ao_expo_ordered_transp_per_nucl`
* :c:data:`ao_num`
* :c:data:`ao_power_ordered_transp_per_nucl`
* :c:data:`ao_prim_num`
* :c:data:`nucl_aos_transposed`
* :c:data:`nucl_coord`
* :c:data:`nucl_n_aos`
* :c:data:`nucl_num`
Called by:
.. hlist::
:columns: 3
* :c:func:`give_all_mos_at_r`
.. c:function:: primitive_value:
File : :file:`ao_basis/aos_in_r.irp.f`
.. code:: fortran
double precision function primitive_value(i,j,r)
Returns the value of the j-th primitive of the i-th |AO| at point $\textbf{r}
**without the coefficient**
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_nucl`
* :c:data:`ao_power`
* :c:data:`nucl_coord`
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