Calculation and analysis of hyperfine and quadrupole interactions in praseodymium-doped La sub(2)(WO sub(4)) sub(3)

We present characterization of the hyperfine and quadrupole interactions of praseodymium in La sub(2)(WO sub(4)) sub(3). The hyperfine structure of the [MathML equation] transition is calculated from a crystal-field analysis and is compared to experimental values retrieved from previous holeburning experiments. The crystal-field wavefunctions are obtained by fitting 42 experimental energy levels, with a good rms standard deviation of [MathML equation]. It is noteworthy that the energy-level scheme of Pr:La sub(2)(WO sub(4)) sub(3) is reported for the first time. The experimental branching ratios between individual [MathML equation] hyperfine transitions are also fitted. Two different approaches are undertaken, one with a complete diagonalization of a Hamiltonian including the crystal-field, the hyperfine and the quadrupole interactions, another using a spin-Hamiltonian approach based on a second-order perturbation treatment.