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quantum_package/plugins/Hartree_Fock/README.rst

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===================
Hartree-Fock Module
===================
From the 140 molecules of the G2 set, only LiO, ONa don't converge well.
Needed Modules
==============
.. Do not edit this section It was auto-generated
.. by the `update_README.py` script.
.. image:: tree_dependency.png
* `Integrals_Bielec <http://github.com/LCPQ/quantum_package/tree/master/src/Integrals_Bielec>`_
* `MOGuess <http://github.com/LCPQ/quantum_package/tree/master/src/MOGuess>`_
Needed Modules
==============
.. Do not edit this section It was auto-generated
.. by the `update_README.py` script.
.. image:: tree_dependency.png
* `Integrals_Bielec <http://github.com/LCPQ/quantum_package/tree/master/src/Integrals_Bielec>`_
* `MOGuess <http://github.com/LCPQ/quantum_package/tree/master/src/MOGuess>`_
Documentation
=============
.. Do not edit this section It was auto-generated
.. by the `update_README.py` script.
`ao_bi_elec_integral_alpha <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L102>`_
Alpha Fock matrix in AO basis set
`ao_bi_elec_integral_beta <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L103>`_
Alpha Fock matrix in AO basis set
`create_guess <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/SCF.irp.f#L13>`_
Create an MO guess if no MOs are present in the EZFIO directory
`damping_scf <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/damping_SCF.irp.f#L1>`_
Undocumented
`diagonal_fock_matrix_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/diagonalize_fock.irp.f#L1>`_
Diagonal Fock matrix in the MO basis
`diagonal_fock_matrix_mo_sum <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/diagonalize_fock.irp.f#L67>`_
diagonal element of the fock matrix calculated as the sum over all the interactions
with all the electrons in the RHF determinant
diagonal_Fock_matrix_mo_sum(i) = sum_{j=1, N_elec} 2 J_ij -K_ij
`eigenvectors_fock_matrix_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/diagonalize_fock.irp.f#L2>`_
Diagonal Fock matrix in the MO basis
`fock_matrix_alpha_ao <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L83>`_
Alpha Fock matrix in AO basis set
`fock_matrix_alpha_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L254>`_
Fock matrix on the MO basis
`fock_matrix_ao <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L312>`_
Fock matrix in AO basis set
`fock_matrix_beta_ao <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L84>`_
Alpha Fock matrix in AO basis set
`fock_matrix_beta_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L274>`_
Fock matrix on the MO basis
`fock_matrix_diag_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L2>`_
Fock matrix on the MO basis.
For open shells, the ROHF Fock Matrix is
.br
| F-K | F + K/2 | F |
|---------------------------------|
| F + K/2 | F | F - K/2 |
|---------------------------------|
| F | F - K/2 | F + K |
.br
F = 1/2 (Fa + Fb)
.br
K = Fb - Fa
.br
`fock_matrix_mo <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L1>`_
Fock matrix on the MO basis.
For open shells, the ROHF Fock Matrix is
.br
| F-K | F + K/2 | F |
|---------------------------------|
| F + K/2 | F | F - K/2 |
|---------------------------------|
| F | F - K/2 | F + K |
.br
F = 1/2 (Fa + Fb)
.br
K = Fb - Fa
.br
`fock_mo_to_ao <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L355>`_
Undocumented
`guess <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Huckel_guess.irp.f#L1>`_
Undocumented
`hf_density_matrix_ao <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/HF_density_matrix_ao.irp.f#L27>`_
S^-1 Density matrix in the AO basis S^-1
`hf_density_matrix_ao_alpha <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/HF_density_matrix_ao.irp.f#L1>`_
S^-1 x Alpha density matrix in the AO basis x S^-1
`hf_density_matrix_ao_beta <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/HF_density_matrix_ao.irp.f#L14>`_
S^-1 Beta density matrix in the AO basis x S^-1
`hf_energy <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/Fock_matrix.irp.f#L293>`_
Hartree-Fock energy
`huckel_guess <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/huckel.irp.f#L1>`_
Build the MOs using the extended Huckel model
`mo_guess_type <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/ezfio_interface.irp.f#L28>`_
Initial MO guess. Can be [ Huckel | HCore ]
`n_it_scf_max <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/ezfio_interface.irp.f#L6>`_
Maximum number of SCF iterations
`run <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/SCF.irp.f#L38>`_
Run SCF calculation
`scf <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/SCF.irp.f#L1>`_
Produce `Hartree_Fock` MO orbital
output: mo_basis.mo_tot_num mo_basis.mo_label mo_basis.ao_md5 mo_basis.mo_coef mo_basis.mo_occ
output: hartree_fock.energy
optional: mo_basis.mo_coef
`thresh_scf <http://github.com/LCPQ/quantum_package/tree/master/plugins/Hartree_Fock/ezfio_interface.irp.f#L46>`_
Threshold on the convergence of the Hartree Fock energy