Clebsch-Gordan coefficients for X x X and R x R in beta tungsten

Abstract

The Clebsch-Gordan coefficients are calculated for irreducible representations X x X and R x R in beta tungsten structure

Clebsch-Gordan coefficients for M x M in beta tungsten

“…The present paper deals with the problem of constructing basis functions for the representations which are contained in the Kronecker product of two irreducible space group representations. We computed the CG coefficients of the single-valued representations X x X, M x M and R x R for the space group Oh [30]. 2.…”

“…Gordan coefficients for M5 ± x M. ±. From table VII of reference [30] we have For the two-dimensional representation r 3+ occurring twice, the basis functions are For the three-dimensional representations r 4-and r 5 -the basis functions are v For X1 x X1 = [M1-] we have from table VIII of reference[30]…”