Calculation and analysis of hyperfine and quadrupole interactions in praseodymium-doped La2(WO4)3La2(WO4)3

We present characterization of the hyperfine and quadrupole interactions of praseodymium in La2(WO4)3La2(WO4)3. The hyperfine structure of the H43(0)→1D2(0) 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 18.3cm−1. It is noteworthy that the energy-level scheme of Pr:La2(WO4)3Pr:La2(WO4)3 is reported for the first time. The experimental branching ratios between individual H43(0)→D21(0) 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.