Collect. Czech. Chem. Commun. 2003, 68, 253-264

Magnetic Linear Birefringence in Rare Earth Systems. Second-Order Approach

Lidia Smenteka,b

a Institute of Physics, N. Copernicus University, Toruń, Poland
b Department of Chemistry, Vanderbilt University, Nashville, U.S.A.


An analysis defines the improved version of the theoretical model of magnetic linear birefringence in rare earth doped materials developed and applied in several papers of Kolmakova et al. The approach presented here is formulated in the language of tensor operators instead of equivalent Stevens objects, and in addition the radial terms of the effective operators contributing to the polarizability tensor are all defined for the complete radial basis sets of one-electron functions. The approach is based on perturbation theory. The effective operators represent the perturbing influence of singly excited configurations 4fN-1n' l' for l' = d, g and all n'. The model is defined within the single configuration approximation, and it addresses especially the problem of evaluation of the radial integrals. The discussion of the tensorial form of the effective operators is completed by the numerical values of appropriate radial integrals evaluated for the ions across the lanthanide series to be used in future theoretical analysis.

Keywords: Rare earth ions; Lanthanides; Magnetic anisotropy; Polarizability tensor; Effective tensor operators; Perturbation theory; Perturbed function approach.

References: 19 live references.