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qp2/docs/source/modules/kohn_sham.rst
2024-12-04 15:58:59 +01:00

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.. _module_kohn_sham:
.. program:: kohn_sham
.. default-role:: option
=========
kohn_sham
=========
Quick description
-----------------
The Kohn-Sham module performs *Restricted* Kohn-Sham calculations (the
spatial part of the |MOs| is common for alpha and beta spinorbitals).
The program associated to it is the :ref:`ks_scf` executable.
.. seealso::
The documentation of the :ref:`module_dft_keywords` module for the various keywords
such as the exchange/correlation functionals or the amount of |HF| exchange.
.. seealso::
To see the keywords/options associated to the |SCF| algorithm itself,
see the documentation of the :ref:`module_scf_utils` module.
More advanced description
-------------------------
The Kohn-Sham in an SCF and therefore is based on the :ref:`module_scf_utils` structure.
The definition of the Fock matrix is in :file:`kohn_sham fock_matrix_ks.irp.f`
.. seealso::
For a more detailed description of the |SCF| structure,
see the documentation of the :ref:`module_scf_utils` module.
Programs
--------
* :ref:`ks_scf`
* :ref:`print_mos`
Providers
---------
.. c:var:: ao_potential_alpha_xc
File : :file:`pot_functionals.irp.f`
.. code:: fortran
double precision, allocatable :: ao_potential_alpha_xc (ao_num,ao_num)
double precision, allocatable :: ao_potential_beta_xc (ao_num,ao_num)
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`potential_c_alpha_ao`
* :c:data:`potential_x_alpha_ao`
* :c:data:`potential_xc_alpha_ao`
* :c:data:`same_xc_func`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`ks_energy`
.. c:var:: ao_potential_beta_xc
File : :file:`pot_functionals.irp.f`
.. code:: fortran
double precision, allocatable :: ao_potential_alpha_xc (ao_num,ao_num)
double precision, allocatable :: ao_potential_beta_xc (ao_num,ao_num)
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`potential_c_alpha_ao`
* :c:data:`potential_x_alpha_ao`
* :c:data:`potential_xc_alpha_ao`
* :c:data:`same_xc_func`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`ks_energy`
.. c:var:: e_correlation_dft
File : :file:`pot_functionals.irp.f`
.. code:: fortran
double precision :: e_correlation_dft
Needs:
.. hlist::
:columns: 3
* :c:data:`energy_c`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
* :c:data:`ks_energy`
.. c:var:: e_exchange_dft
File : :file:`pot_functionals.irp.f`
.. code:: fortran
double precision :: e_exchange_dft
Needs:
.. hlist::
:columns: 3
* :c:data:`energy_x`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
* :c:data:`ks_energy`
.. c:var:: fock_matrix_alpha_no_xc_ao
File : :file:`fock_matrix_ks.irp.f`
.. code:: fortran
double precision, allocatable :: fock_matrix_alpha_no_xc_ao (ao_num,ao_num)
double precision, allocatable :: fock_matrix_beta_no_xc_ao (ao_num,ao_num)
Mono electronic an Coulomb matrix in ao basis set
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_two_e_integral_alpha`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
.. c:var:: fock_matrix_beta_no_xc_ao
File : :file:`fock_matrix_ks.irp.f`
.. code:: fortran
double precision, allocatable :: fock_matrix_alpha_no_xc_ao (ao_num,ao_num)
double precision, allocatable :: fock_matrix_beta_no_xc_ao (ao_num,ao_num)
Mono electronic an Coulomb matrix in ao basis set
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_two_e_integral_alpha`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
.. c:var:: fock_matrix_energy
File : :file:`ks_enery.irp.f`
.. code:: fortran
double precision :: ks_energy
double precision :: two_e_energy
double precision :: one_e_energy
double precision :: fock_matrix_energy
double precision :: trace_potential_xc
Kohn-Sham energy containing the nuclear repulsion energy, and the various components of this quantity.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_potential_alpha_xc`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`e_correlation_dft`
* :c:data:`e_exchange_dft`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
.. c:var:: ks_energy
File : :file:`ks_enery.irp.f`
.. code:: fortran
double precision :: ks_energy
double precision :: two_e_energy
double precision :: one_e_energy
double precision :: fock_matrix_energy
double precision :: trace_potential_xc
Kohn-Sham energy containing the nuclear repulsion energy, and the various components of this quantity.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_potential_alpha_xc`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`e_correlation_dft`
* :c:data:`e_exchange_dft`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
.. c:var:: one_e_energy
File : :file:`ks_enery.irp.f`
.. code:: fortran
double precision :: ks_energy
double precision :: two_e_energy
double precision :: one_e_energy
double precision :: fock_matrix_energy
double precision :: trace_potential_xc
Kohn-Sham energy containing the nuclear repulsion energy, and the various components of this quantity.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_potential_alpha_xc`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`e_correlation_dft`
* :c:data:`e_exchange_dft`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
.. c:var:: trace_potential_xc
File : :file:`ks_enery.irp.f`
.. code:: fortran
double precision :: ks_energy
double precision :: two_e_energy
double precision :: one_e_energy
double precision :: fock_matrix_energy
double precision :: trace_potential_xc
Kohn-Sham energy containing the nuclear repulsion energy, and the various components of this quantity.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_potential_alpha_xc`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`e_correlation_dft`
* :c:data:`e_exchange_dft`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
.. c:var:: two_e_energy
File : :file:`ks_enery.irp.f`
.. code:: fortran
double precision :: ks_energy
double precision :: two_e_energy
double precision :: one_e_energy
double precision :: fock_matrix_energy
double precision :: trace_potential_xc
Kohn-Sham energy containing the nuclear repulsion energy, and the various components of this quantity.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_potential_alpha_xc`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`e_correlation_dft`
* :c:data:`e_exchange_dft`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`extra_e_contrib_density`
Subroutines / functions
-----------------------
.. c:function:: check_coherence_functional:
File : :file:`ks_scf.irp.f`
.. code:: fortran
subroutine check_coherence_functional
Needs:
.. hlist::
:columns: 3
* :c:data:`correlation_functional`
* :c:data:`exchange_functional`
Called by:
.. hlist::
:columns: 3
* :c:func:`ks_scf`