Abstract
Dynamic orbit-lattice interaction parameters for rare-earth ions at any site symmetry group are evaluated under the assumption that the static crystal-field parameters are determined solely by the effects of overlap and covalency. It is shown that in the two extremes of pure σ- or pure π-bonding there is a simple proportionality between the values of the dynamic and static parameters. Explicit evaluation shows that the value of the constant of proportionality is approximately the same in these two extremes. In general there is no proportionality (in the strict mathematical sense) between the dynamic and the static crystal-field parameters, and the effect of this on the higher-order terms in the orbit-lattice interaction is described. Finally the implications of the analysis for the interpretation of observations on the effects of pressure on EPR spectra are briefly noted.
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