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.. | ||
tests | ||
ao_bi_integrals.irp.f | ||
ASSUMPTIONS.rst | ||
bi_integrals.ezfio_config | ||
gauss_legendre.irp.f | ||
Makefile | ||
map_integrals.irp.f | ||
mo_bi_integrals.irp.f | ||
NEEDED_MODULES | ||
options.irp.f | ||
README.rst |
============= BiInts Module ============= Here, all bi-electronic integrals (:math:`1/r_{12}`) are computed. As they have 4 indices and many are zero, they are stored in a map, as defined in ``Utils/map_module.f90``. To fetch an AO integral, use the ``get_ao_bielec_integral(i,j,k,l,ao_integrals_map)`` function, and to fetch and MO integral, use ``get_mo_bielec_integral(i,j,k,l,mo_integrals_map)`` or ``mo_bielec_integral(i,j,k,l)``. Needed Modules ============== .. Do not edit this section. It was auto-generated from the .. NEEDED_MODULES file. * `AOs <http://github.com/LCPQ/quantum_package/tree/master/src/AOs>`_ * `Bitmask <http://github.com/LCPQ/quantum_package/tree/master/src/Bitmask>`_ * `Electrons <http://github.com/LCPQ/quantum_package/tree/master/src/Electrons>`_ * `Ezfio_files <http://github.com/LCPQ/quantum_package/tree/master/src/Ezfio_files>`_ * `MOs <http://github.com/LCPQ/quantum_package/tree/master/src/MOs>`_ * `Nuclei <http://github.com/LCPQ/quantum_package/tree/master/src/Nuclei>`_ * `Output <http://github.com/LCPQ/quantum_package/tree/master/src/Output>`_ * `Utils <http://github.com/LCPQ/quantum_package/tree/master/src/Utils>`_ * `MonoInts <http://github.com/LCPQ/quantum_package/tree/master/src/MonoInts>`_ Documentation ============= .. Do not edit this section. It was auto-generated from the .. NEEDED_MODULES file. `ao_bielec_integral <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L1>`_ integral of the AO basis <ik|jl> or (ij|kl) i(r1) j(r1) 1/r12 k(r2) l(r2) `ao_bielec_integral_schwartz <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L326>`_ Needed to compuet Schwartz inequalities `ao_bielec_integrals_in_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L189>`_ Map of Atomic integrals i(r1) j(r2) 1/r12 k(r1) l(r2) `compute_ao_bielec_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L148>`_ Compute AO 1/r12 integrals for all i and fixed j,k,l `eri <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L487>`_ ATOMIC PRIMTIVE bielectronic integral between the 4 primitives :: primitive_1 = x1**(a_x) y1**(a_y) z1**(a_z) exp(-alpha * r1**2) primitive_2 = x1**(b_x) y1**(b_y) z1**(b_z) exp(- beta * r1**2) primitive_3 = x2**(c_x) y2**(c_y) z2**(c_z) exp(-delta * r2**2) primitive_4 = x2**(d_x) y2**(d_y) z2**(d_z) exp(- gama * r2**2) `general_primitive_integral <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L352>`_ Computes the integral <pq|rs> where p,q,r,s are Gaussian primitives `give_polynom_mult_center_x <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L632>`_ subroutine that returns the explicit polynom in term of the "t" variable of the following polynomw : I_x1(a_x, d_x,p,q) * I_x1(a_y, d_y,p,q) * I_x1(a_z, d_z,p,q) `i_x1_new <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L576>`_ recursive function involved in the bielectronic integral `i_x1_pol_mult <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L695>`_ recursive function involved in the bielectronic integral `i_x1_pol_mult_a1 <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L815>`_ recursive function involved in the bielectronic integral `i_x1_pol_mult_a2 <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L869>`_ recursive function involved in the bielectronic integral `i_x1_pol_mult_recurs <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L729>`_ recursive function involved in the bielectronic integral `i_x2_new <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L599>`_ recursive function involved in the bielectronic integral `i_x2_pol_mult <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L931>`_ recursive function involved in the bielectronic integral `integrale_new <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L531>`_ calculate the integral of the polynom :: I_x1(a_x+b_x, c_x+d_x,p,q) * I_x1(a_y+b_y, c_y+d_y,p,q) * I_x1(a_z+b_z, c_z+d_z,p,q) between ( 0 ; 1) `n_pt_sup <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/ao_bi_integrals.irp.f#L618>`_ Returns the upper boundary of the degree of the polynom involved in the bielctronic integral : Ix(a_x,b_x,c_x,d_x) * Iy(a_y,b_y,c_y,d_y) * Iz(a_z,b_z,c_z,d_z) `gauleg <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/gauss_legendre.irp.f#L20>`_ Gauss-Legendre `gauleg_t2 <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/gauss_legendre.irp.f#L1>`_ t_w(i,1,k) = w(i) t_w(i,2,k) = t(i) `gauleg_w <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/gauss_legendre.irp.f#L2>`_ t_w(i,1,k) = w(i) t_w(i,2,k) = t(i) `ao_integrals_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L6>`_ AO integrals `bielec_integrals_index <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L17>`_ Undocumented `clear_ao_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L128>`_ Frees the memory of the AO map `clear_mo_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L243>`_ Frees the memory of the MO map `get_ao_bielec_integral <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L33>`_ Gets one AO bi-electronic integral from the AO map `get_ao_bielec_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L51>`_ Gets multiple AO bi-electronic integral from the AO map . All i are retrieved for j,k,l fixed. `get_ao_bielec_integrals_non_zero <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L84>`_ Gets multiple AO bi-electronic integral from the AO map . All non-zero i are retrieved for j,k,l fixed. `get_ao_map_size <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L120>`_ Returns the number of elements in the AO map `get_mo_bielec_integral <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L184>`_ Returns one integral <ij|kl> in the MO basis `get_mo_bielec_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L213>`_ Returns multiple integrals <ij|kl> in the MO basis, all i for j,k,l fixed. `get_mo_map_size <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L235>`_ Return the number of elements in the MO map `insert_into_ao_integrals_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L153>`_ Create new entry into AO map `insert_into_mo_integrals_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L168>`_ Create new entry into MO map, or accumulate in an existing entry `mo_bielec_integral <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L201>`_ Returns one integral <ij|kl> in the MO basis `mo_integrals_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/map_integrals.irp.f#L142>`_ MO integrals `add_integrals_to_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L40>`_ Adds integrals to tha MO map according to some bitmask `mo_bielec_integral_jj <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L296>`_ Transform Bi-electronic integrals <ij|ij> and <ij|ji> `mo_bielec_integral_jj_anti <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L298>`_ Transform Bi-electronic integrals <ij|ij> and <ij|ji> `mo_bielec_integral_jj_exchange <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L297>`_ Transform Bi-electronic integrals <ij|ij> and <ij|ji> `mo_bielec_integrals_in_map <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L21>`_ If True, the map of MO bielectronic integrals is provided `mo_bielec_integrals_index <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/mo_bi_integrals.irp.f#L1>`_ Computes an unique index for i,j,k,l integrals `ao_integrals_threshold <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L73>`_ If <pq|rs> < ao_integrals_threshold, <pq|rs> = 0 `do_direct_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L111>`_ If True, compute integrals on the fly `mo_integrals_threshold <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L92>`_ If <ij|kl> < mo_integrals_threshold, <ij|kl> = 0 `read_ao_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L55>`_ If true, read AO integrals in EZFIO `read_mo_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L37>`_ If true, read MO integrals in EZFIO `write_ao_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L19>`_ If true, write AO integrals in EZFIO `write_mo_integrals <http://github.com/LCPQ/quantum_package/tree/master/src/BiInts/options.irp.f#L1>`_ If true, write MO integrals in EZFIO