Abstract
The energy levels of in the cubic crystal field of Ca are calculated using free-ion vectors computed with spin-other-orbit and spin-spin interactions included. The and coefficients are fitted to the experimental and splittings. Using only the 18 components of the free-ion levels as a basis, values of and are obtained. This calculation gives a mean error of 8 between calculated and experimental levels. To improve the quality of the fit, the basis was extended to the 134 components of the and free-ion levels. For this calculation, and , and the mean error is reduced to about 0.5 . This calculation predicts the correct order of the ground-state levels and gives an over-all ground-state splitting of about one-half the experimental splitting. The calculated ground-state splitting does not change when the basis is further extended to include all higher free-ion levels containing character. We conclude that a good crystal-field calculation for is possible and depends strongly on the quality of the free-ion states.
- Received 20 February 1969
DOI:https://doi.org/10.1103/PhysRev.185.416
©1969 American Physical Society