The dynamic Jahn–Teller effect applied to the temperature-dependent paramagnetic susceptibilities of Ti3+:Al2O3

The dynamic Jahn–Teller effect has been used in the analysis of the temperature-dependent paramagnetic susceptibilities of Ti3+:Al2O3. Two important changes have been made from the original analysis: (1) Parameters as determined from the dynamic Jahn–Teller effect are incorporated, and (2) All Van Vleck susceptibilities have been forced to sum to zero as required by quantum theory. The results of the analysis show that χ∥ contains a constant term of the order 1.22×10−8 emu/g that does not arise from Ti3+ singles. The data over the temperature range 18 to 100 K indicate that g∥1=2.54, a value 25% larger than that determined from the infrared Zeeman effect. It is possible to determine the perpendicular Van Vleck susceptibility for the ground state which is governed by the magnetic interaction of the lowest two energy levels with a substantial Jahn–Teller contribution. Finally, the suppression of the susceptibilities below 4.12 K can be modeled by a factor for the removal of singles from the susceptibilities by interactions with nearest neighbors, next-nearest neighbors, etc.