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Energy levels of terbium(III) in the elpasolite Cs2NaTbBr6. II. A correlation crystal field analysis

A set of more than 100 electronic energy levels in Cs2NaTbBr6, extending from the ground state to 5H4, is used to test different models of the correlation crystal field (CCF). These are based on Judd's orthogonal giQ (k) two-electron operators, and more specifically on contributions due to spin-correlation, or ligand polarization. Similar data from Cs2NaTbCl6 and Cs2NaTbF6 has also been analysed. Only fourth-rank operators make clear improvements to the quality of the fit in deviant multiplets. Empirically the g7 (4) and g9 (4) operators are found to be the most effective. Although fourth-rank operators achieve modest success in correcting the calculated spread of the multiplets, no single operator has a significant impact on the shortcomings of the one-body crystal field. This result is discussed in terms of the limitations of an effective-operator Hamiltonian.