Empirically derived cubic-field energy-level schemes of fluorescence of Tb3+ in CaF2(I) are analyzed and compared with those theoretically derived. The x values for the 5D4, 7F3, 7F4, and 7F5 states are derived to the first order for a weak cubic field, and the energies are calculated to the second order. The second-order energies when added to the theoretical first-order levels of Lea, Leask, and Wolf at the calculated x values give energy levels in agreement with the empirical schemes to within 10%, substantiating the cubic crystal-field assignment for this crystal. The ratio of fourth- to sixth-order cubic crystal-field parameters (A4〈r4〉/A6〈r6〉) is found to be −11.5.
No takes yet. Share an insight, caveat, or question.
Norman Rabbiner (1967) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: