Theoretical Explanation of the Optical and Electron Paramagnetic Resonance Spectral Data for Trivalent Ytterbium Ions in β-Lead Fluoride

Abstract

ABSTRACT Six crystal-field energy levels and three electron paramagnetic resonance (EPR) data [g factor and hyperfine structure constants A(171Yb3+) and A(173Yb3+)] for trivalent ytterbium (Yb3+) ions in the cubic β-lead fluoride (β-PbF2) crystal are calculated by using a diagonalization (of energy matrix) method. In the method, the Zeeman and hyperfine interaction terms are added to the Hamiltonian in the conventional diagonalization method, and so the optical and EPR data can be calculated in a unified way. The calculated results are in reasonable agreement with the experimental values, and the signs of constants A(171Yb3+) and A(173Yb3+) are determined. The results are discussed.