Cubic harmonics in Cartesian coordinates

Abstract

Abstract 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.