Crystal field parameters and g-factors of the ground Kramers doublet of Ce³⁺ ion in LiYF₄ crystal

Analytical expressions are obtained for g-factors of the ground Kramers doublet of the impurity Ce³⁺ ions in LiYF₄ crystal that rigorously take into account mixing of the ²F_5/2 and ²F_7/2 multiplets by crystal field. Dependence of g-factors on crystal field parameters is studied and possibilities of making conclusions about crystal filed parameters values on the basis of comparison with g-factors given in literature are considered