Calculation of a power spectrum and definition of wave functions of an ion Cr~(3+) in antiferromagnetic crystal Cr_2O_3 in the model of a crystalline field

摘要

The antiferromagnetic crystal Cr_2O_3 contains magnetoactive ions Cr~(3+) and has C3v local symmetry. In this crystal exist cross-effects, for example linear magnetoelectric effect and others. It is necessary to know the energy levels and wave functions of an ion Cr~(3+) exact simulation of this effect. In the present paper the problem of calculation of the crystalline field potential is solved in the single-ion model. For Cr_2O_3 the splitting of energy levels are determined and wave functions for ground and exited states are calculated.