A formalism using the properties of the irreducible representation of the scattering tensors has been developed to predict up to the third order the polarization-dependent behavior of the electronic Raman-scattering intensities and the two-photon absorption intensities of transitions between Stark levels. The polarization behavior of ions in crystals are tabulated for the 32 crystallographic point groups. The theory provides a stringent test for the Judd-Ofelt-Axe theory for two-photon intensities between Stark levels.

DOI:https://doi.org/10.1103/PhysRevB.55.5786