Tables are given which provide a method of generating a unique labelling scheme for all finite point group irreducible representations subduced from the representations of D(J) of SO₃. A method is also given for determining the explicit basis states corresponding to this unique labelling, and some examples are given for cubic and D2d symmetries. The circumstances in which such basis states may be employed as approximate crystal field eigenstates are discussed. Copyright © 1985 American Institute of Physics.
crystal field theory