摘要
In this work, the complete matrix of optical spectral levels in trigonal symmetry of 3d<sup>2sup> (3d<sup>8sup>) ions are established on basis of strong field coupling mechanism by using two spin-orbit coupling parameters model. The contribution of the spin-orbit coupling of ligand to the optical spectra has been included in these formulas. As an application, the optical spectra of Cr<sup>4+sup> in Y<sub>2sub>Ti<sub>2sub>O<sub>7sub> and Y<sub>2sub>Sn<sub>2sub>O<sub>7sub> have been studied by the complete diagonalization (energy matrix) method. The covalent effect has been studied and the difficulty about Dq parameter in explanation of optical spectra of Cr-doped Y<sub>2sub>Ti<sub>2sub>O<sub>7sub> and Y<sub>2sub>Sn<sub>2sub>O<sub>7sub> is removed. The theoretical results are in good agreement with observed data.