Theoretical energy-level schemes are derived to first order of perturbation theory and compared with those empirically derived for both a crystal of CaF2:Sm3+ and one of CdF2:Sm3+ in a crystal field of tetragonal symmetry. The resulting deviation of the energies between the theoretical and empirical schemes is within 40 cm−1 for ten of the twelve crystal-field energy levels of the ground 6H multiplet states terminating the observed fluorescence lines. The theoretical schemes are derived for a unique set of values for the five crystal-field parameters of the tetragonal field. This is substantial additional support for an assignment of tetragonal symmetry for both of these crystals. Tables are given of the resulting approximate values of the crystal-field parameters, level energies, and level eigenfunctions.
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Absolute value of γ for 6H7/2 state is not needed herein; X denotes the unknown value of γ here.
This denotes 0.15 times the unknown value of γ for 6H7/2.
Table II
Approximate values for parameters of the crystal field, (B’s), for Sm3+ in CaF2 and Sm3+ in CdF2 (cm−1)
Absolute value of γ for 6H7/2 state is not needed herein; X denotes the unknown value of γ here.
This denotes 0.15 times the unknown value of γ for 6H7/2.
Table II
Approximate values for parameters of the crystal field, (B’s), for Sm3+ in CaF2 and Sm3+ in CdF2 (cm−1)