Abstract

The scattering tensor for the <sup>7</sup><i>F</i><sub>1</sub>-<sup>7</sup><i>F</i><sub>0</sub> and <sup>7</sup><i>F</i><sub>2</sub>-<sup>7</sup><i>F</i><sub>0</sub> electronic Raman transitions of the trivalent europium ion has been calculated for cases in which the rare-earth ion experiences a crystal field of cubic, hexagonal, and tetragonal symmetry. It is shown that such crystal fields give rise to Raman spectra of which polarization features are direct indications of the symmetry of the environment. The <sup>7</sup><i>F</i><sub>1</sub>←<sup>7</sup><i>F</i><sub>0</sub> transitions are all related to the antisymmetry of a scattering tensor, whereas the <sup>7</sup><i>F</i><sub>2</sub>←<sup>7</sup><i>F</i><sub>0</sub> transitions are related to a symmetric tensor. According to theory, the latter transitions should be more intense than the former.

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