Clebsch−Gordan coefficients for *<i>X</i> ⊗ *<i>X</i> in diamond <i>O</i>7<i>h</i>−Fd3m and rocksalt <i>O</i>5<i>n</i>−Fm3m

Abstract

By using the method described in the previous paper, based on properties of space group irreducible representations as induced from ray representations of subgroups, Clebsch−Gordan coefficients are calculated for *X ⊗ *X in diamond O7h−Fd3m and rocksalt O5h−Fm3m structures. Tables of coefficients for these stars are presented. An example of explicit calculation of the coefficients is given for these symmorphic and nonsymmorphic groups with multiplicity included in the former.