Based on the superposition model, in this paper the EPR parameters gII and g⊥ of Dy3+, and the hyperfine structure constants AII and A⊥ of 161Dy3+ and 163Dy3+ in LuPO4 crystal are calculated by perturbation formulas from the crystal-field theory. In the calculations, the contributions of various admixtures and interactions such as J-mixing, mixtures among states with the same J-value, twoorder perturbation, covalency as well as local lattice relaxation are considered. The calculated results agree reasonably with the observed values
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