
here V0 is the part of HCF that is independent of angular variables.Thus the Hamiltionian of the system can be written as H=HF+V0+H’CF (3)The eigenvalues of HF+V0 are usually called free ion levels. Because of the existence of H’CF, each free ion level will split into Stark levels, and the center of gravity of the Stark levels will be shifted from correspondent free ion level. It is not concluded whether these shifts are comparable with the contributions of configuration interaction, spin-spin interaction and other interactions. The systematical calculation on these shifts has not been reported so far as we know. In this paper we present the results for Er3+ in Y3Al5O12.