ENERGY MATRIX OF THE D(3) CONFIGURATION IN TRIGONAL FIELD AND ANALYSIS OF THE ENTIRE ENERGY-SPECTRUM OF RUBY

By using the strong-field scheme, we have calculated all the reduced m atrix elements and the matrix elements of the trigonal crystal field a nd all the matrix elements of the spinorbit interaction for the d(3) e lectronic configuration. The complete energy matrix of the d(3) config uration in trigonal field has been constructed. This matrix has been d iagonalized to fit the experimental optical and microwave spectral dat a of ruby. The calculated results are in good agreement with the exper imental data. In particular, the zero-field splitting 6 of the ground state and the splitting between R-1 and R-2 lines agree very well with the experimental results. The assignments of all the energy levels an d the rates of change of the levels with respect to various parameters are given. The contributions from various parameters to a and the spl itting between R-1 and R-2 lines are also given.