Abstract
The Judd-Ofelt approximation to the forced electric dipole transition strengths has been used with considerable success to model the sharp intra-configurational (4f)n-(4f)n spectra of rare earth ions in solids. However, discrepancies are observed when the model is applied to the highest lying (4f)n states. We describe here a modification of the standard second order Judd-Ofelt theory which allows us to calculate the enhanced transition rates in cases where one state is close to the perturbing band. When mixing with one configuration dominates, our theory requires no new adjustable parameters; both the enhanced even parameters and a new set of odd parameters can be calculated from the three even Judd-Ofelt parameters determined by fitting the transition rates between the low-lying states. Our theory is able to account for the transition rates we observe from the (4f)2 1S0 state of Pr3+ : LaF3 (just below the 4f5d band), without resort to third or fourth order configurational interaction terms.
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