Computer generated subgroup-symmetry adapted irreducible representations and CG coefficients of space groups by the Eigenfunction method

Abstract

A program package is described which can compute ab-initio without the input of any complicated results the characters, subgroup-symmetry adapted projective (both single- and double-valued) irreducible representations of the little co-group and the full representation matrices of the space group, the wave-vector selection rules, the Clebsch-Gordan (CG) series and CG coefficients in 230 space groups, as well as the characters, irreducible representations and CG coefficients of the 32 point groups. The tables for characters, representation matrices and CG coefficients are printed out in an easily recognizable form with exact values in the form of (p/q) 1 2 exp(iπ n/m).