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 gro... Title of program: IR, CGC Catalogue Id: ABHE_v1_0 Nature of problem The program computes the characters, subgroup-symmetry adapted projective (both single- and double-valued) irreducible representations (irreps) of the little co-group and the ground representations, the wave-vector selection rules, the Clebsch-Gordan (CG) series and CG coefficients in 230 space groups. The program can also be used for computing the characters, irreps and CG coefficients of the 32 point groups. Versions of this program held in the CPC repository in Mendeley Data ABHE_v1_0; IR, CGC; 10.1016/0010-4655(89)90111-2 ABHE_v2_0; PGSG; 10.1016/S0010-4655(99)00201-5 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)