Abstract: | Based on the completely parametric crystal-field model, the energy level parameters, including free-ion parameters and crystal-field parameters, obtained by fitting the experimental energy level data sets of Ln~(3+) in LiYF_4 were systematically analyzed. The results revealed that the regular variation trends of the major parameters at relatively low site symmetry still existed. The g factors of ground states were calculated using the parameters obtained from least-squares fitting. The results for Ce~(3+), Nd~(3+), Sm~(3+), Dy~(3+) and Yb~(3+) were in good agreement with experiment, while those of Er~(3+) deviated from experiment dramatically. Further study showed that the g factors depended strongly on B_4~6, and a slightly different B_4~6 value of -580cm~(-1) led to g factors agreeing well with the experimental values. |