Theoretical Calculation of Energy Spectrum of YGG:Cr3+ and Thermal Shifts of Its R-Lines

With the strong-field scheme and trigonal bases, the complete d3 energy matrix in a trigonally distorted cubic-field has been constructed. By diagonalizing this matrix, the energy spectrum of YGG:Cr3+ at normal pressure and low temperature has been calculated. The g factor of the ground-state has been evaluated in terms of the energy spectrum. At the same time, by using the wavefunctions obtained from diagonalizing the complete d3 energy matrix and Thermal Shifts theory, we calculate the thermal shifts of the sharp lines of YGG:Cr3+ and determine the relevant parameters. The calculated results are all in good agreement with the optical-spectrum and EPR experimental data. It is demonstrated that the obtained wavefunctions and the values of parameters are reasonable. (condensed matter: electronic structure, electrical, magnetic, and optical properties)