GROUP-CHAIN SCHEME ANALYSIS OF THE ENERGY-LEVELS AND MAGNETIC-PROPERTIES OF ER3+ IN THE LIYF4 CRYSTAL

Based on the analysis of group-chain scheme wavefunctions and the use of the constraint condition set down by the ratios of crystal-field pa rameters calculated by the point-charge model, the crystal-field-level fitting and the study of Zeeman interaction characterized by the g-fa ctor in Er3+ : LiYF4 have been carried out, in which the Er3+ ions occ upy positions with point symmetry S-4. The RMS of energy-level fitting is less than 8 cm(-1), and the corresponding wavefunctions of Stark s ublevels are useful in the calculation of the g-factors of the ground and excited states. The calculated results agree well with the experim ent and Confirm Karayianis' partial g-sum rule. The method proposed tu rned out to be effective in the study of not only the spectroscopic an d laser properties but also the magnetic properties of ram-earth ions in crystals.