The Effects of Coordination Polyhedron Structure on Rare‐Earth Ion Spectra

Abstract

AbstractInvestigations are made of some regularities in the position of Stark components and a number of conclusions are drawn on the nearest surrounding structure rare‐earth (RE) ions. Since the splitting of the J‐manifold is generally defined by the overlap of RE ions and ligand orbitals, it is possible to establish a relation between the phenomenological crystal field parameters \documentclass{article}\pagestyle{empty}\begin{document}$ B_{t_p \overline {r^t}} $\end{document} (CFP) and the structure of the nearest surrounding. It is important that the various multipolarity CFP (t = 2, 4, 6) in the overlap model depend identically on R while their values in the CF theory are proportional to \documentclass{article}\pagestyle{empty}\begin{document}$ \overline {r^t } /R^{t + 1} $\end{document}. The dependence on the ligand angular coordinates is similar for the two models.