Crystal-field analysis of triply ionized rare earth ions in lanthanum trifluoride. II. Intensity calculations

Abstract

Implementation of the Judd–Ofelt theory of induced electric dipole transitions is considered for rare-earth ions in LaF3. Parameters in the theory are derived a priori. Calculations of the multiplet-to-multiplet line strengths, lifetimes, branching ratios, and line-to-line squared matrix elements are performed between all the energy levels considered for the triply ionized lanthanides Ce3+ through Yb3+. Magnetic dipole calculations are also performed. The g factors for all the lanthanides with an odd number of f electrons are given. Calculated Judd–Ofelt intensity parameters and radiative lifetimes compare reasonably well with experiment.