Algebraic expressions for symmetry-adapted functions of the icosahedral group in spinor space

Peng Dong Fan, Nanjing University
Jin Quan Chen, Nanjing University
J. P. Draayer, Louisiana State University

Abstract

Algebraic expressions for projection operators and symmetry-adapted functions (SAFs) of the icosahedral group for spinor (double-valued) representations are found by using the double-induced technique and eigenfunction method. The SAFs are functions of the angular momentum j, the quantum numbers λ, ν, μ of the group chain I ⊃ D5 ⊃ C5, and the multiplicity label m̄. By this procedure, SAFs for the group I are provided once for all instead of one j value at a time. © 1999 International Union of Crystallography Printed in Great Britain - all rights reserved.