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QCaml/linear_algebra/lib/spherical_to_cartesian.mli

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829 B
OCaml

(** Conversion from spherical coordinate to cartesian corrdinates. *)
open Common
type num_cartesian_ao
type num_spherical_ao
val matrix : Angular_momentum.t -> (num_cartesian_ao, num_spherical_ao) Matrix.t
(** Returns a transformation matrix to rotate between the basis of atom-centered
spherical coordinates to x,y,z coordinates.
The first index of the result matrix is the index of the cartesian shell, as
obtained by the [index] function, and the second index is the index of the
spherical shell.
Example:
{[
SphericalToCartesian.matrix Angular_momentum.D ->
]}
*)
val index : nx:int -> ny:int -> nz:int -> int
(** Unique index given to a triplet of powers. Used to identify a cartesian shell.
Example:
{[
let nx, ny, nz = 3, 2, 1 in
SphericalToCartesian.index ~nx ~ny ~nz -> 8
]}
*)