Crystal electric fields for cubic point groups

Crystal electric fields for the cubic point groups are reexamined and it is found that the new term O-6(2)-O-6(6) is nonvanishing for the cubic point groups T-h and T due to the lack of Umklappung and fourfold symmetry axis o f the point group O-h. The eigenfunctions and eigenvalues of the crystal el ectric field for 4f(n) configurations are labeled by the irreducible repres entations of the point group T-h. The degeneracy of each sublevel does not change as compared with those of the point group O-h, but some eigenfunctio ns and eigenvalues are affected by the new term. Thus inelastic neutron sca ttering spectra for T and T-h are different from those for O-h due to diffe rent transition probabilities and selection rules.