Quantum mechanics

Spin-weighted spherical harmonics

Voltage

Solid harmonics

Pure mathematics

Basis (linear algebra)

Economics

Harmonics

Physics

Vector spherical harmonics

Mathematics

Politics

Political science

Cartesian product

Irreducible representation

Cartesian coordinate system

Mathematical analysis

Geometry

Representation (politics)

Combinatorics

Point (geometry)

Finance

Group (periodic table)

Spherical harmonics

Order (exchange)

International Journal of Quantum Chemistry

A full set of harmonics which are at the basis of all irreducible representations of the cubic point group and having order l ⩽ 16 has been calculated in terms of Cartesian coordinates. Due to their complication, former calculations of harmonics in Cartesian coordinates for half of the irreducible representations did not exceed l = 6. The method presented in this paper is a modification of that originally given by Von der Lage and Bethe; it can be readily applied to the calculation of harmonics of arbitrary order for any irreducible representation of the cubic point group.

Cubic harmonics in Cartesian coordinates