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QuantumPackage/docs/source/modules/hartree_fock.rst
2019-01-25 11:39:31 +01:00

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.. _module_hartree_fock:
.. program:: hartree_fock
.. default-role:: option
============
hartree_fock
============
The Hartree-Fock module performs *Restricted* Hartree-Fock calculations (the
spatial part of the |MOs| is common for alpha and beta spinorbitals).
The Hartree-Fock in an SCF and therefore is based on the ``scf_utils`` structure.
It performs the following actions:
#. Compute/Read all the one- and two-electron integrals, and store them in memory
#. Check in the |EZFIO| database if there is a set of |MOs|. If there is, it
will read them as initial guess. Otherwise, it will create a guess.
#. Perform the |SCF| iterations
The definition of the Fock matrix is in :file:`hartree_fock fock_matrix_hf.irp.f`
For the keywords related to the |SCF| procedure, see the ``scf_utils`` directory where you will find all options.
The main are:
# :option:`scf_utils thresh_scf`
# :option:`scf_utils level_shift`
At each iteration, the |MOs| are saved in the |EZFIO| database. Hence, if the calculation
crashes for any unexpected reason, the calculation can be restarted by running again
the |SCF| with the same |EZFIO| database.
The `DIIS`_ algorithm is implemented, as well as the `level-shifting`_ method.
If the |SCF| does not converge, try again with a higher value of :option:`level_shift`.
To start a calculation from scratch, the simplest way is to remove the
``mo_basis`` directory from the |EZFIO| database, and run the |SCF| again.
.. _DIIS: https://en.wikipedia.org/w/index.php?title=DIIS
.. _level-shifting: https://doi.org/10.1002/qua.560070407
EZFIO parameters
----------------
.. option:: energy
Energy HF
Programs
--------
* :ref:`scf`
Providers
---------
.. c:var:: ao_two_e_integral_alpha
File : :file:`hartree_fock/fock_matrix_hf.irp.f`
.. code:: fortran
double precision, allocatable :: ao_two_e_integral_alpha (ao_num,ao_num)
double precision, allocatable :: ao_two_e_integral_beta (ao_num,ao_num)
Alpha Fock matrix in AO basis set
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_integrals_map`
* :c:data:`ao_integrals_threshold`
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`ao_overlap_abs`
* :c:data:`ao_power`
* :c:data:`ao_prim_num`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
* :c:data:`do_direct_integrals`
* :c:data:`n_pt_max_integrals`
* :c:data:`nucl_coord`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`hf_energy`
.. c:var:: ao_two_e_integral_beta
File : :file:`hartree_fock/fock_matrix_hf.irp.f`
.. code:: fortran
double precision, allocatable :: ao_two_e_integral_alpha (ao_num,ao_num)
double precision, allocatable :: ao_two_e_integral_beta (ao_num,ao_num)
Alpha Fock matrix in AO basis set
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_coef_normalized_ordered_transp`
* :c:data:`ao_expo_ordered_transp`
* :c:data:`ao_integrals_map`
* :c:data:`ao_integrals_threshold`
* :c:data:`ao_nucl`
* :c:data:`ao_num`
* :c:data:`ao_overlap_abs`
* :c:data:`ao_power`
* :c:data:`ao_prim_num`
* :c:data:`ao_two_e_integral_schwartz`
* :c:data:`ao_two_e_integrals_in_map`
* :c:data:`do_direct_integrals`
* :c:data:`n_pt_max_integrals`
* :c:data:`nucl_coord`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Needed by:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`hf_energy`
.. c:var:: extra_e_contrib_density
File : :file:`hartree_fock/hf_energy.irp.f`
.. code:: fortran
double precision :: extra_e_contrib_density
Extra contribution to the SCF energy coming from the density.
For a Hartree-Fock calculation: extra_e_contrib_density = 0
For a Kohn-Sham or Range-separated Kohn-Sham: the exchange/correlation - trace of the V_xc potential
Needed by:
.. hlist::
:columns: 3
* :c:data:`scf_energy`
.. c:var:: fock_matrix_ao_alpha
File : :file:`hartree_fock/fock_matrix_hf.irp.f`
.. code:: fortran
double precision, allocatable :: fock_matrix_ao_alpha (ao_num,ao_num)
double precision, allocatable :: fock_matrix_ao_beta (ao_num,ao_num)
Alpha Fock 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`
* :c:data:`fock_matrix_mo_alpha`
* :c:data:`fock_matrix_mo_beta`
* :c:data:`scf_energy`
.. c:var:: fock_matrix_ao_beta
File : :file:`hartree_fock/fock_matrix_hf.irp.f`
.. code:: fortran
double precision, allocatable :: fock_matrix_ao_alpha (ao_num,ao_num)
double precision, allocatable :: fock_matrix_ao_beta (ao_num,ao_num)
Alpha Fock 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`
* :c:data:`fock_matrix_mo_alpha`
* :c:data:`fock_matrix_mo_beta`
* :c:data:`scf_energy`
.. c:var:: hf_energy
File : :file:`hartree_fock/hf_energy.irp.f`
.. code:: fortran
double precision :: hf_energy
double precision :: hf_two_electron_energy
double precision :: hf_one_electron_energy
Hartree-Fock energy containing the nuclear repulsion, and its one- and two-body components.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
.. c:var:: hf_one_electron_energy
File : :file:`hartree_fock/hf_energy.irp.f`
.. code:: fortran
double precision :: hf_energy
double precision :: hf_two_electron_energy
double precision :: hf_one_electron_energy
Hartree-Fock energy containing the nuclear repulsion, and its one- and two-body components.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
.. c:var:: hf_two_electron_energy
File : :file:`hartree_fock/hf_energy.irp.f`
.. code:: fortran
double precision :: hf_energy
double precision :: hf_two_electron_energy
double precision :: hf_one_electron_energy
Hartree-Fock energy containing the nuclear repulsion, and its one- and two-body components.
Needs:
.. hlist::
:columns: 3
* :c:data:`ao_num`
* :c:data:`ao_one_e_integrals`
* :c:data:`ao_two_e_integral_alpha`
* :c:data:`nuclear_repulsion`
* :c:data:`scf_density_matrix_ao_alpha`
* :c:data:`scf_density_matrix_ao_beta`
Subroutines / functions
-----------------------
.. c:function:: create_guess:
File : :file:`hartree_fock/scf.irp.f`
Create a MO guess if no MOs are present in the EZFIO directory
Needs:
.. hlist::
:columns: 3
* :c:data:`ezfio_filename`
* :c:data:`mo_coef`
* :c:data:`mo_guess_type`
* :c:data:`mo_one_e_integrals`
* :c:data:`ao_ortho_lowdin_coef`
* :c:data:`mo_label`
Called by:
.. hlist::
:columns: 3
* :c:func:`scf`
Calls:
.. hlist::
:columns: 3
* :c:func:`ezfio_has_mo_basis_mo_coef`
* :c:func:`huckel_guess`
* :c:func:`mo_as_eigvectors_of_mo_matrix`
Touches:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`mo_coef`
* :c:data:`mo_label`
.. c:function:: run:
File : :file:`hartree_fock/scf.irp.f`
Run SCF calculation
Needs:
.. hlist::
:columns: 3
* :c:data:`scf_energy`
* :c:data:`mo_label`
Called by:
.. hlist::
:columns: 3
* :c:func:`pt2`
* :c:func:`scf`
Calls:
.. hlist::
:columns: 3
* :c:func:`ezfio_set_hartree_fock_energy`
* :c:func:`roothaan_hall_scf`
Touches:
.. hlist::
:columns: 3
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`fock_matrix_ao_alpha`
* :c:data:`mo_coef`
* :c:data:`level_shift`
* :c:data:`mo_coef`