Abstract
The spin Hamiltonian parameters g ∥ , g ⊥ , A ∥ and A ⊥ for Er 3+ ion in LiYF 4 are investigated by using the perturbation formulas of these parameters for a 4f 11 ion in tetragonal symmetry. In these formulas, the contributions to the spin Hamiltonian parameters from the second-order perturbation terms and the admixtures of different states are considered. The relevant crystal field parameters are calculated from the superposition model and the local structural parameters of the Y 3+ site occupied by impurity Er 3+ . The theoretical optical spectra within 4 I 15/2 and 4 I 13/2 states and the spin Hamiltonian parameters obtained in this work are consistent with the observed values.
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