The Theroretical Studies for Absorption Spectra and the Cubic Zero-Field Splitting of Fe³⁺ Ion in Garnets

In this article, We have uniformly calculated out the cubic zer-field splitting (CZFS) and d-d transition absorption spectra of Fe³⁺ ion located at double site(T_d, O_h) in the garnets (YIG or YGG) for the first time, by using the complete matrices of the perturbation Hamiltonian H' in fhe d⁵ configuration. As the theoretical results agree with the experimental ones, it is reliable to calculated the CZFS parameter a by this method in which the complete matrices of the H' for d⁵ system in group O_h^* are used. Therefore, the theoretical calculated difficult with Low and Yu met has been solved.