Systematic analysis of the spectroscopic characteristics of 3d ions in a free state and some cubic crystals

Systematic consideration of the spectroscopic properties of the di-, tri- and tetravalent 3d ions in a free state is presented. Variations of the Racah parameters B, C, spin-orbit interaction constant ζ and averaged values of the 3d electrons' radial coordinate across the selected groups of 3d ions were considered; functional dependencies between the above-mentioned parameters were obtained. It was shown that the knowledge of one out of three parameters (B, C, ζ) allows to estimate the remaining two. Systematic behavior of the trivalent 3d ions in some cubic crystals (Y₃Al₅O ₁₂ and GaAs) was also considered; different degree of the nephelauxetic effect for the B and C parameters in Y₃Al ₅O₁₂ was uncovered. Using the literature data on the crystal field parameters for trivalent 3d ions in Y₃Al ₅O₁₂ and GaAs, the values of the crystal field parameters for Gd₃Ga₅O₁₂, AlAs and InAs were estimated.