Abstract

On the basis of the analysis of the group-chain scheme ), the crystal-field-level fitting has been carried out for , in which the ions occupy site symmetry positions. The RMS value of the energy-level fitting is and the group character of each Stark level compares well to the experimental assignment on the whole. The wavefunctions obtained were used in the study of the Zeeman interaction and the fluorescence spectra. The calculated g-factors obey Karayianis's partial g-sum rule, and the g-factor of the ground state of is predicted. According to the Judd-Ofelt theory, the odd crystal-field parameters have been quantitatively determined by the fit to the experimental transition rates from . The line-to-line transition rates and thus the fluorescence spectra from at room temperature have been calculated, which are in agreement with the experiment by and large.

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