Vibronic Selection Rules at Special Points of the Brillouin Zone: Pr3+ in LaCl3

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Abstract
The method of obtaining vibronic selection rules is described for an isolated impurity rare earth or actinidetype ion in a rare earth or actinide salt for various symmetry points of the Brillouin zone. The method is applied to Pr3+ in LaCl3 and the results used to further interpret the vibronic spectrum previously reported by Richman, Satten, and Wong. It is shown that in addition to the region around k=0, the region about the plane kz=0 is also probably the most important for the vibronic transitions. The points K and K′ are shown to lead to the same type of spectrum as the point at k=0.

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