2019-03-07 16:29:06 +01:00
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.. _module_mo_two_e_ints:
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.. program:: mo_two_e_ints
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.. default-role:: option
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==================
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mo_two_e_ints
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==================
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Here, all two-electron integrals (:math:`1/r_{12}`) are computed.
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As they have 4 indices and many are zero, they are stored in a map, as defined
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in :file:`Utils/map_module.f90`.
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To fetch an |AO| integral, use the
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`get_ao_two_e_integral(i,j,k,l,ao_integrals_map)` function, and
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to fetch an |MO| integral, use
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`get_two_e_integral(i,j,k,l,mo_integrals_map)` or
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`mo_two_e_integral(i,j,k,l)`.
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The conventions are:
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* For |AO| integrals : (ik|jl) = (11|22)
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* For |MO| integrals : <ij|kl> = <12|12>
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EZFIO parameters
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----------------
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.. option:: io_mo_two_e_integrals
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Read/Write |MO| integrals from/to disk [ Write | Read | None ]
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Default: None
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.. option:: mo_integrals_threshold
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If | <ij|kl> | < `mo_integrals_threshold` then <ij|kl> is zero
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Default: 1.e-15
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Providers
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---------
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2020-12-06 22:58:30 +01:00
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.. c:var:: banned_excitation
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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logical, allocatable :: banned_excitation (mo_num,mo_num)
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If true, the excitation is banned in the selection. Useful with local MOs.
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_num`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`big_array_coulomb_integrals`
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* :c:data:`core_fock_operator`
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* :c:data:`mo_two_e_integrals_jj`
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2019-03-07 16:29:06 +01:00
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.. c:var:: big_array_coulomb_integrals
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File : :file:`mo_two_e_ints/integrals_3_index.irp.f`
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.. code:: fortran
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double precision, allocatable :: big_array_coulomb_integrals (mo_num,mo_num,mo_num)
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double precision, allocatable :: big_array_exchange_integrals (mo_num,mo_num,mo_num)
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big_array_coulomb_integrals(i,j) = <ij|ij> = (ii|jj)
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big_array_exchange_integrals(i,j) = <ij|ji> = (ij|ij)
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Needs:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:data:`banned_excitation`
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2019-03-07 16:29:06 +01:00
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_integrals_cache_min`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_num`
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* :c:data:`mo_two_e_integrals_in_map`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`h_matrix_all_dets`
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* :c:data:`h_matrix_cas`
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.. c:var:: big_array_exchange_integrals
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File : :file:`mo_two_e_ints/integrals_3_index.irp.f`
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.. code:: fortran
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double precision, allocatable :: big_array_coulomb_integrals (mo_num,mo_num,mo_num)
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double precision, allocatable :: big_array_exchange_integrals (mo_num,mo_num,mo_num)
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big_array_coulomb_integrals(i,j) = <ij|ij> = (ii|jj)
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big_array_exchange_integrals(i,j) = <ij|ji> = (ij|ij)
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Needs:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:data:`banned_excitation`
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2019-03-07 16:29:06 +01:00
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_integrals_cache_min`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_num`
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* :c:data:`mo_two_e_integrals_in_map`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`h_matrix_all_dets`
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* :c:data:`h_matrix_cas`
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.. c:var:: core_energy
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File : :file:`mo_two_e_ints/core_quantities.irp.f`
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.. code:: fortran
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double precision :: core_energy
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energy from the core : contains all core-core contributions
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Needs:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:data:`list_core`
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2019-03-07 16:29:06 +01:00
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* :c:data:`mo_one_e_integrals`
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* :c:data:`mo_two_e_integrals_jj`
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* :c:data:`n_core_orb`
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* :c:data:`nuclear_repulsion`
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.. c:var:: core_fock_operator
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File : :file:`mo_two_e_ints/core_quantities.irp.f`
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.. code:: fortran
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double precision, allocatable :: core_fock_operator (mo_num,mo_num)
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this is the contribution to the Fock operator from the core electrons
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Needs:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:data:`banned_excitation`
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* :c:data:`list_act`
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* :c:data:`list_core`
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2019-03-07 16:29:06 +01:00
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_integrals_cache_min`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_num`
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* :c:data:`mo_two_e_integrals_in_map`
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2020-12-06 22:58:30 +01:00
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* :c:data:`n_act_orb`
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2019-03-07 16:29:06 +01:00
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* :c:data:`n_core_orb`
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.. c:function:: insert_into_mo_integrals_map:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine insert_into_mo_integrals_map(n_integrals, &
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buffer_i, buffer_values, thr)
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Create new entry into MO map, or accumulate in an existing entry
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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Called by:
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.. hlist::
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:columns: 3
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* :c:func:`add_integrals_to_map`
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* :c:func:`add_integrals_to_map_no_exit_34`
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* :c:func:`add_integrals_to_map_three_indices`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`map_update`
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2020-12-06 22:58:30 +01:00
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.. c:var:: mo_coef_novirt
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File : :file:`mo_two_e_ints/four_idx_novvvv.irp.f`
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.. code:: fortran
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double precision, allocatable :: mo_coef_novirt (ao_num,n_core_inact_act_orb)
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MO coefficients without virtual MOs
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`ao_num`
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* :c:data:`list_core_inact_act`
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* :c:data:`mo_coef`
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* :c:data:`n_core_inact_act_orb`
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2019-03-07 16:29:06 +01:00
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.. c:var:: mo_integrals_cache
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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double precision, allocatable :: mo_integrals_cache (0_8:128_8*128_8*128_8*128_8)
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Cache of MO integrals for fast access
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_cache_min`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_two_e_integrals_in_map`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`big_array_coulomb_integrals`
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* :c:data:`core_fock_operator`
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* :c:data:`mo_two_e_integrals_jj`
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.. c:var:: mo_integrals_cache_max
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer*4 :: mo_integrals_cache_min
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integer*4 :: mo_integrals_cache_max
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integer*8 :: mo_integrals_cache_min_8
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integer*8 :: mo_integrals_cache_max_8
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Min and max values of the MOs for which the integrals are in the cache
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`elec_alpha_num`
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* :c:data:`mo_num`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`big_array_coulomb_integrals`
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* :c:data:`core_fock_operator`
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_two_e_integrals_jj`
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.. c:var:: mo_integrals_cache_max_8
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer*4 :: mo_integrals_cache_min
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integer*4 :: mo_integrals_cache_max
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integer*8 :: mo_integrals_cache_min_8
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integer*8 :: mo_integrals_cache_max_8
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Min and max values of the MOs for which the integrals are in the cache
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`elec_alpha_num`
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* :c:data:`mo_num`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`big_array_coulomb_integrals`
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* :c:data:`core_fock_operator`
|
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|
|
* :c:data:`mo_integrals_cache`
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* :c:data:`mo_two_e_integrals_jj`
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.. c:var:: mo_integrals_cache_min
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer*4 :: mo_integrals_cache_min
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integer*4 :: mo_integrals_cache_max
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integer*8 :: mo_integrals_cache_min_8
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integer*8 :: mo_integrals_cache_max_8
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Min and max values of the MOs for which the integrals are in the cache
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`elec_alpha_num`
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* :c:data:`mo_num`
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Needed by:
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.. hlist::
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:columns: 3
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* :c:data:`big_array_coulomb_integrals`
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* :c:data:`core_fock_operator`
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_two_e_integrals_jj`
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.. c:var:: mo_integrals_cache_min_8
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer*4 :: mo_integrals_cache_min
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integer*4 :: mo_integrals_cache_max
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integer*8 :: mo_integrals_cache_min_8
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integer*8 :: mo_integrals_cache_max_8
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Min and max values of the MOs for which the integrals are in the cache
|
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`elec_alpha_num`
|
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|
* :c:data:`mo_num`
|
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Needed by:
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.. hlist::
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|
:columns: 3
|
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* :c:data:`big_array_coulomb_integrals`
|
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|
* :c:data:`core_fock_operator`
|
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* :c:data:`mo_integrals_cache`
|
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* :c:data:`mo_two_e_integrals_jj`
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.. c:var:: mo_integrals_map
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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type(map_type) :: mo_integrals_map
|
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MO integrals
|
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Needs:
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.. hlist::
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|
:columns: 3
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|
* :c:data:`mo_num`
|
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|
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|
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|
Needed by:
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|
.. hlist::
|
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|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`banned_excitation`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`big_array_coulomb_integrals`
|
|
|
|
|
* :c:data:`core_fock_operator`
|
|
|
|
|
* :c:data:`fock_operator_closed_shell_ref_bitmask`
|
|
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|
|
* :c:data:`fock_wee_closed_shell`
|
|
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|
|
* :c:data:`h_matrix_all_dets`
|
|
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|
|
* :c:data:`h_matrix_cas`
|
|
|
|
|
* :c:data:`mo_integrals_cache`
|
|
|
|
|
* :c:data:`mo_two_e_integrals_in_map`
|
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|
* :c:data:`mo_two_e_integrals_jj`
|
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.. c:var:: mo_two_e_integral_jj_from_ao
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|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
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|
|
.. code:: fortran
|
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|
|
double precision, allocatable :: mo_two_e_integral_jj_from_ao (mo_num,mo_num)
|
|
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|
|
double precision, allocatable :: mo_two_e_integrals_jj_exchange_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_anti_from_ao (mo_num,mo_num)
|
|
|
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|
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|
|
mo_two_e_integral_jj_from_ao(i,j) = J_ij
|
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|
|
mo_two_e_integrals_jj_exchange_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_anti_from_ao(i,j) = J_ij - K_ij
|
|
|
|
|
|
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|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_integrals_map`
|
|
|
|
|
* :c:data:`ao_integrals_threshold`
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
|
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_in_map
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
logical :: mo_two_e_integrals_in_map
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
If True, the map of MO two-electron integrals is provided
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`ao_integrals_map`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`ezfio_filename`
|
|
|
|
|
* :c:data:`full_ijkl_bitmask_4`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`list_core_inact_act`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_class`
|
|
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
|
|
|
|
* :c:data:`mo_integrals_threshold`
|
|
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`mpi_master`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`n_core_inact_act_orb`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`n_int`
|
|
|
|
|
* :c:data:`no_vvvv_integrals`
|
|
|
|
|
* :c:data:`read_mo_two_e_integrals`
|
|
|
|
|
|
|
|
|
|
Needed by:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`act_2_rdm_aa_mo`
|
|
|
|
|
* :c:data:`act_2_rdm_ab_mo`
|
|
|
|
|
* :c:data:`act_2_rdm_bb_mo`
|
|
|
|
|
* :c:data:`act_2_rdm_spin_trace_mo`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`big_array_coulomb_integrals`
|
|
|
|
|
* :c:data:`ci_electronic_energy`
|
|
|
|
|
* :c:data:`core_fock_operator`
|
|
|
|
|
* :c:data:`fock_operator_closed_shell_ref_bitmask`
|
|
|
|
|
* :c:data:`fock_wee_closed_shell`
|
|
|
|
|
* :c:data:`h_matrix_all_dets`
|
|
|
|
|
* :c:data:`h_matrix_cas`
|
|
|
|
|
* :c:data:`mo_integrals_cache`
|
|
|
|
|
* :c:data:`mo_two_e_integrals_jj`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_jj
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_exchange (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_anti (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integrals_jj(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_exchange(i,j) = K_ij
|
|
|
|
|
mo_two_e_integrals_jj_anti(i,j) = J_ij - K_ij
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`banned_excitation`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_integrals_cache`
|
|
|
|
|
* :c:data:`mo_integrals_cache_min`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
|
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`mo_two_e_integrals_in_map`
|
|
|
|
|
|
|
|
|
|
Needed by:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`core_energy`
|
|
|
|
|
* :c:data:`ref_bitmask_energy`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_jj_anti
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_exchange (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_anti (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integrals_jj(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_exchange(i,j) = K_ij
|
|
|
|
|
mo_two_e_integrals_jj_anti(i,j) = J_ij - K_ij
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`banned_excitation`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_integrals_cache`
|
|
|
|
|
* :c:data:`mo_integrals_cache_min`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
|
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`mo_two_e_integrals_in_map`
|
|
|
|
|
|
|
|
|
|
Needed by:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`core_energy`
|
|
|
|
|
* :c:data:`ref_bitmask_energy`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_jj_anti_from_ao
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integral_jj_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_exchange_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_anti_from_ao (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integral_jj_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_exchange_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_anti_from_ao(i,j) = J_ij - K_ij
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_integrals_map`
|
|
|
|
|
* :c:data:`ao_integrals_threshold`
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
|
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_jj_exchange
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_exchange (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_jj_anti (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integrals_jj(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_jj_exchange(i,j) = K_ij
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|
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mo_two_e_integrals_jj_anti(i,j) = J_ij - K_ij
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Needs:
|
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|
.. hlist::
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|
:columns: 3
|
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|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`banned_excitation`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_integrals_cache`
|
|
|
|
|
* :c:data:`mo_integrals_cache_min`
|
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|
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* :c:data:`mo_integrals_map`
|
|
|
|
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* :c:data:`mo_num`
|
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|
|
* :c:data:`mo_two_e_integrals_in_map`
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|
Needed by:
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|
.. hlist::
|
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|
:columns: 3
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* :c:data:`core_energy`
|
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* :c:data:`ref_bitmask_energy`
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.. c:var:: mo_two_e_integrals_jj_exchange_from_ao
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File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
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.. code:: fortran
|
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double precision, allocatable :: mo_two_e_integral_jj_from_ao (mo_num,mo_num)
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double precision, allocatable :: mo_two_e_integrals_jj_exchange_from_ao (mo_num,mo_num)
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double precision, allocatable :: mo_two_e_integrals_jj_anti_from_ao (mo_num,mo_num)
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mo_two_e_integral_jj_from_ao(i,j) = J_ij
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mo_two_e_integrals_jj_exchange_from_ao(i,j) = J_ij
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mo_two_e_integrals_jj_anti_from_ao(i,j) = J_ij - K_ij
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Needs:
|
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|
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|
|
.. hlist::
|
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|
:columns: 3
|
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* :c:data:`ao_integrals_map`
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* :c:data:`ao_integrals_threshold`
|
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|
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* :c:data:`ao_num`
|
|
|
|
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* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
|
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
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|
|
* :c:data:`mo_num`
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.. c:var:: mo_two_e_integrals_vv_anti_from_ao
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File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
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|
.. code:: fortran
|
|
|
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|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_exchange_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_anti_from_ao (mo_num,mo_num)
|
|
|
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|
|
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|
|
mo_two_e_integrals_vv_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_exchange_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_anti_from_ao(i,j) = J_ij - K_ij
|
|
|
|
|
but only for the virtual orbitals
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_integrals_map`
|
|
|
|
|
* :c:data:`ao_integrals_threshold`
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`list_virt`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_num`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`n_virt_orb`
|
2019-03-07 16:29:06 +01:00
|
|
|
|
|
|
|
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|
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|
|
.. c:var:: mo_two_e_integrals_vv_exchange_from_ao
|
|
|
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|
|
|
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|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_exchange_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_anti_from_ao (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integrals_vv_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_exchange_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_anti_from_ao(i,j) = J_ij - K_ij
|
|
|
|
|
but only for the virtual orbitals
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_integrals_map`
|
|
|
|
|
* :c:data:`ao_integrals_threshold`
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`list_virt`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_num`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`n_virt_orb`
|
2019-03-07 16:29:06 +01:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:var:: mo_two_e_integrals_vv_from_ao
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_exchange_from_ao (mo_num,mo_num)
|
|
|
|
|
double precision, allocatable :: mo_two_e_integrals_vv_anti_from_ao (mo_num,mo_num)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
mo_two_e_integrals_vv_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_exchange_from_ao(i,j) = J_ij
|
|
|
|
|
mo_two_e_integrals_vv_anti_from_ao(i,j) = J_ij - K_ij
|
|
|
|
|
but only for the virtual orbitals
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_integrals_map`
|
|
|
|
|
* :c:data:`ao_integrals_threshold`
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
|
|
|
|
* :c:data:`do_direct_integrals`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`list_virt`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_num`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`n_virt_orb`
|
2019-03-07 16:29:06 +01:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
Subroutines / functions
|
|
|
|
|
-----------------------
|
|
|
|
|
|
|
|
|
|
.. c:function:: add_integrals_to_map:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
subroutine add_integrals_to_map(mask_ijkl)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Adds integrals to tha MO map according to some bitmask
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`mo_integrals_threshold`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`n_int`
|
|
|
|
|
|
|
|
|
|
Called by:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:func:`four_idx_novvvv2`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_two_e_integrals_in_map`
|
|
|
|
|
|
|
|
|
|
Calls:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:func:`bitstring_to_list`
|
|
|
|
|
* :c:func:`cpu_time`
|
|
|
|
|
* :c:func:`get_ao_two_e_integrals`
|
|
|
|
|
* :c:func:`insert_into_mo_integrals_map`
|
|
|
|
|
* :c:func:`map_merge`
|
|
|
|
|
* :c:func:`mo_two_e_integrals_index`
|
|
|
|
|
* :c:func:`wall_time`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:function:: add_integrals_to_map_no_exit_34:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
subroutine add_integrals_to_map_no_exit_34(mask_ijkl)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Adds integrals to tha MO map according to some bitmask
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`mo_integrals_threshold`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`n_int`
|
|
|
|
|
|
|
|
|
|
Calls:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:func:`bitstring_to_list`
|
|
|
|
|
* :c:func:`cpu_time`
|
|
|
|
|
* :c:func:`get_ao_two_e_integrals`
|
|
|
|
|
* :c:func:`insert_into_mo_integrals_map`
|
|
|
|
|
* :c:func:`map_merge`
|
|
|
|
|
* :c:func:`mo_two_e_integrals_index`
|
|
|
|
|
* :c:func:`wall_time`
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
.. c:function:: add_integrals_to_map_three_indices:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
subroutine add_integrals_to_map_three_indices(mask_ijk)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Adds integrals to tha MO map according to some bitmask
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`ao_two_e_integrals_in_map`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_coef`
|
|
|
|
|
* :c:data:`mo_coef_transp`
|
|
|
|
|
* :c:data:`mo_integrals_map`
|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`mo_integrals_threshold`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_num`
|
|
|
|
|
* :c:data:`n_int`
|
|
|
|
|
|
|
|
|
|
Calls:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:func:`bitstring_to_list`
|
|
|
|
|
* :c:func:`cpu_time`
|
|
|
|
|
* :c:func:`get_ao_two_e_integrals`
|
|
|
|
|
* :c:func:`insert_into_mo_integrals_map`
|
|
|
|
|
* :c:func:`map_merge`
|
|
|
|
|
* :c:func:`mo_two_e_integrals_index`
|
|
|
|
|
* :c:func:`wall_time`
|
|
|
|
|
|
|
|
|
|
|
2020-12-06 22:58:30 +01:00
|
|
|
.. c:function:: ao_to_mo_novirt:
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
File : :file:`mo_two_e_ints/four_idx_novvvv.irp.f`
|
|
|
|
|
|
|
|
|
|
.. code:: fortran
|
|
|
|
|
|
|
|
|
|
subroutine ao_to_mo_novirt(A_ao,LDA_ao,A_mo,LDA_mo)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Transform A from the |AO| basis to the |MO| basis excluding virtuals
|
|
|
|
|
|
|
|
|
|
$C^\dagger.A_{ao}.C$
|
|
|
|
|
|
|
|
|
|
Needs:
|
|
|
|
|
|
|
|
|
|
.. hlist::
|
|
|
|
|
:columns: 3
|
|
|
|
|
|
|
|
|
|
* :c:data:`ao_num`
|
|
|
|
|
* :c:data:`mo_coef_novirt`
|
|
|
|
|
* :c:data:`n_core_inact_act_orb`
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Called by:
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.. hlist::
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:columns: 3
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* :c:func:`four_idx_novvvv`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`dgemm`
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2019-03-07 16:29:06 +01:00
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.. c:function:: clear_mo_map:
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File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
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.. code:: fortran
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subroutine clear_mo_map
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Frees the memory of the MO map
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`map_deinit`
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.. c:function:: dump_mo_integrals:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine dump_mo_integrals(filename)
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Save to disk the |MO| integrals
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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* :c:data:`mpi_master`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`ezfio_set_work_empty`
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2020-12-06 22:58:30 +01:00
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.. c:function:: four_idx_novvvv:
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File : :file:`mo_two_e_ints/four_idx_novvvv.irp.f`
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.. code:: fortran
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subroutine four_idx_novvvv
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Retransform MO integrals for next CAS-SCF step
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`ao_integrals_map`
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* :c:data:`ao_num`
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* :c:data:`list_core_inact_act`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_integrals_threshold`
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* :c:data:`mo_num`
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* :c:data:`n_core_inact_act_orb`
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Called by:
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.. hlist::
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:columns: 3
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* :c:data:`mo_two_e_integrals_in_map`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`ao_to_mo`
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* :c:func:`ao_to_mo_novirt`
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* :c:func:`map_append`
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* :c:func:`map_shrink`
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* :c:func:`map_sort`
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* :c:func:`map_unique`
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* :c:func:`two_e_integrals_index`
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.. c:function:: four_idx_novvvv2:
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File : :file:`mo_two_e_ints/four_idx_novvvv.irp.f`
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.. code:: fortran
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subroutine four_idx_novvvv2
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`core_inact_act_bitmask_4`
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* :c:data:`full_ijkl_bitmask_4`
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* :c:data:`n_int`
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* :c:data:`virt_bitmask`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`add_integrals_to_map`
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2019-03-07 16:29:06 +01:00
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.. c:function:: get_mo_map_size:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer*8 function get_mo_map_size()
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Return the number of elements in the MO map
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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.. c:function:: get_mo_two_e_integrals:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine get_mo_two_e_integrals(j,k,l,sze,out_val,map)
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Returns multiple integrals <ij|kl> in the MO basis, all
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i for j,k,l fixed.
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Needs:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:data:`banned_excitation`
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2019-03-07 16:29:06 +01:00
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_integrals_cache_min`
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2020-12-06 22:58:30 +01:00
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* :c:data:`mo_two_e_integrals_in_map`
|
2019-03-07 16:29:06 +01:00
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Called by:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:func:`get_mo_two_e_integrals_i1j1`
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* :c:func:`get_mo_two_e_integrals_ij`
|
2019-03-07 16:29:06 +01:00
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`map_get`
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.. c:function:: get_mo_two_e_integrals_coulomb_ii:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine get_mo_two_e_integrals_coulomb_ii(k,l,sze,out_val,map)
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Returns multiple integrals <ki|li>
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k(1)i(2) 1/r12 l(1)i(2) :: out_val(i1)
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for k,l fixed.
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_two_e_integrals_in_map`
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Called by:
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.. hlist::
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:columns: 3
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* :c:data:`fock_operator_closed_shell_ref_bitmask`
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* :c:data:`fock_wee_closed_shell`
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.. c:function:: get_mo_two_e_integrals_exch_ii:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine get_mo_two_e_integrals_exch_ii(k,l,sze,out_val,map)
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Returns multiple integrals <ki|il>
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k(1)i(2) 1/r12 i(1)l(2) :: out_val(i1)
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for k,l fixed.
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_two_e_integrals_in_map`
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Called by:
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.. hlist::
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:columns: 3
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* :c:data:`fock_operator_closed_shell_ref_bitmask`
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* :c:data:`fock_wee_closed_shell`
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.. c:function:: get_mo_two_e_integrals_i1j1:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine get_mo_two_e_integrals_i1j1(k,l,sze,out_array,map)
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Returns multiple integrals <ik|jl> in the MO basis, all
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i(1)j(1) 1/r12 k(2)l(2)
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i, j for k,l fixed.
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_two_e_integrals_in_map`
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Calls:
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.. hlist::
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:columns: 3
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|
2020-12-06 22:58:30 +01:00
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* :c:func:`get_mo_two_e_integrals`
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2019-03-07 16:29:06 +01:00
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.. c:function:: get_mo_two_e_integrals_ij:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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subroutine get_mo_two_e_integrals_ij(k,l,sze,out_array,map)
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Returns multiple integrals <ij|kl> in the MO basis, all
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i(1)j(2) 1/r12 k(1)l(2)
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i, j for k,l fixed.
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Calls:
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.. hlist::
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:columns: 3
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2020-12-06 22:58:30 +01:00
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* :c:func:`get_mo_two_e_integrals`
|
2019-03-07 16:29:06 +01:00
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.. c:function:: get_two_e_integral:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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double precision function get_two_e_integral(i,j,k,l,map)
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Returns one integral <ij|kl> in the MO basis
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Needs:
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.. hlist::
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:columns: 3
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|
2020-12-06 22:58:30 +01:00
|
|
|
* :c:data:`banned_excitation`
|
2019-03-07 16:29:06 +01:00
|
|
|
* :c:data:`mo_integrals_cache`
|
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|
|
* :c:data:`mo_integrals_cache_min`
|
2020-12-06 22:58:30 +01:00
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|
* :c:data:`mo_two_e_integrals_in_map`
|
2019-03-07 16:29:06 +01:00
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`map_get`
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* :c:func:`two_e_integrals_index`
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.. c:function:: load_mo_integrals:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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integer function load_mo_integrals(filename)
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Read from disk the |MO| integrals
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_map`
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Calls:
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.. hlist::
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:columns: 3
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* :c:func:`cache_map_reallocate`
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* :c:func:`map_deinit`
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* :c:func:`map_sort`
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.. c:function:: mo_two_e_integral:
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File : :file:`mo_two_e_ints/map_integrals.irp.f`
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.. code:: fortran
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double precision function mo_two_e_integral(i,j,k,l)
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Returns one integral <ij|kl> in the MO basis
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Needs:
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.. hlist::
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:columns: 3
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* :c:data:`mo_integrals_cache`
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* :c:data:`mo_integrals_map`
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* :c:data:`mo_two_e_integrals_in_map`
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.. c:function:: mo_two_e_integrals_index:
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File : :file:`mo_two_e_ints/mo_bi_integrals.irp.f`
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.. code:: fortran
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subroutine mo_two_e_integrals_index(i,j,k,l,i1)
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Computes an unique index for i,j,k,l integrals
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Called by:
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.. hlist::
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:columns: 3
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* :c:func:`add_integrals_to_map`
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* :c:func:`add_integrals_to_map_no_exit_34`
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* :c:func:`add_integrals_to_map_three_indices`
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