GBTOlib: library for evaluation of molecular integrals in mixed Gaussian / B-spline basis 111
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bto_integrals_gbl Module Reference

This module contains routines to calculate the 1-electron integrals in the B-spline basis. More...

Functions/Subroutines

subroutine, public BB_shell_integrals (shell_a, shell_b, starting_index_a, starting_index_b, a, max_property_l, property_center, symmetry_data, olap_column, kei_column, prop_column, nai_column, ecp_column, bbb_column, one_elham_column, int_index, integrals)
subroutine, public BB_initialize (bspline_grid, max_bspline_l, max_prop_l, dipole_damp_factor, symmetry_data, rmat_radius, bto_shells, no_cgto_shells, shell_starting_indices)
 Calculates: r_points, weights, B_vals, temp_r, bspline_boundary_val, bspline_start_end, prop_on_grid, leg_on_grid, re_sph_harm_center.
subroutine, public construct_bspline_quadrature_grid (knots, x, w, n, n_rng_knot, r_points, weights, n_total_points)
 Constructs a quadrature grid for the B-spline basis described by a given knot sequence. The final quadrature grid comprises effectively a series of quadratures over subintervals generated in between each pair of distinct knots.

Detailed Description

This module contains routines to calculate the 1-electron integrals in the B-spline basis.

Todo
Add checking that the radial quadratures have high enough order to get exact results. Integrals involving radial B-splines with a non-zero derivative at r=A (i.e. at the origin of the B-spline grid) are not evaluated.

Function/Subroutine Documentation

◆ BB_initialize()

subroutine, public bto_integrals_gbl::BB_initialize ( type(bspline_grid_obj), intent(inout) bspline_grid,
integer, intent(in), optional max_bspline_l,
integer, intent(in), optional max_prop_l,
real(kind=cfp), intent(in) dipole_damp_factor,
type(symmetry_obj), intent(in) symmetry_data,
real(kind=cfp), intent(in) rmat_radius,
type(bto_shell_data_obj), dimension(:), intent(in) bto_shells,
integer, intent(in) no_cgto_shells,
integer, dimension(:), intent(in) shell_starting_indices )

Calculates: r_points, weights, B_vals, temp_r, bspline_boundary_val, bspline_start_end, prop_on_grid, leg_on_grid, re_sph_harm_center.

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◆ BB_shell_integrals()

subroutine, public bto_integrals_gbl::BB_shell_integrals ( type(bto_shell_data_obj), intent(in), target shell_a,
type(bto_shell_data_obj), intent(in), target shell_b,
integer, intent(in) starting_index_a,
integer, intent(in) starting_index_b,
real(kind=cfp), intent(in) a,
integer, intent(in) max_property_l,
real(kind=cfp), dimension(3), intent(in) property_center,
type(symmetry_obj), intent(in) symmetry_data,
integer, intent(in) olap_column,
integer, intent(in) kei_column,
integer, intent(in) prop_column,
integer, intent(in) nai_column,
integer, intent(in) ecp_column,
integer, intent(in) bbb_column,
integer, intent(in) one_elham_column,
integer, dimension(:,:), allocatable int_index,
real(kind=cfp), dimension(:,:), allocatable integrals )
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◆ construct_bspline_quadrature_grid()

subroutine, public bto_integrals_gbl::construct_bspline_quadrature_grid ( real(kind=cfp), dimension(:), intent(in) knots,
real(kind=cfp), dimension(2*n+1), intent(in) x,
real(kind=cfp), dimension(2*n+1), intent(in) w,
integer, intent(in) n,
integer, intent(in) n_rng_knot,
real(kind=cfp), dimension(:), allocatable r_points,
real(kind=cfp), dimension(:), allocatable weights,
integer, intent(out) n_total_points )

Constructs a quadrature grid for the B-spline basis described by a given knot sequence. The final quadrature grid comprises effectively a series of quadratures over subintervals generated in between each pair of distinct knots.