Experiments in collisional transfer of excitation, as well as theoretical considerations, have shown that singlet-triplet mixing occurs for nE states of helium. In this work the helium fine structure has been calculated using polarized orbitals to determine the amount of mixing and its dependence on the state {n)) of the excited electron, and on the polarization of the orbital of the inner electron. Results are presented for n=3-10 and )=2{n -1). All P statesgave poor results because of a large exchange effec', involving the polarization term in the wave function. However, the 3 D and 4 D levels showed improved agreement with experiment for the fine structure. The singlet-triplet mixing is essentially zero for l =2, is significant for l =3, and is virtually complete for l~4 . It is also found that the mixing decreases slightly with increasing n.
The magnetic susceptibilities of single-crystal V2O3 have been measured by the Faraday method along and perpendicular to the trigonal axis between 300° and 700°K. Both χ‖ and χ⊥ have a high-temperature transition, as was expected, which occurs over a range of temperature from 450° to 550°K. An approximate fit of the data can be obtained with a Curie-Weiss law including a temperature-independent term with one set of parameters below 400°K and a different set above 550°K. It is found that the reciprocal susceptibility curve over the entire temperature range is at least cubic in T, indicating a rather complicated temperature dependence for the density of states function in the band approximation.
The dynamic Jahn-Teller effect has been used in the analysis of the temperature-dependent paramagnetic susceptibilities of Ti 3ϩ :Al 2 O 3 . Two important changes have been made from the original analysis: ͑1͒ Parameters as determined from the dynamic Jahn-Teller effect are incorporated, and ͑2͒ All Van Vleck susceptibilities have been forced to sum to zero as required by quantum theory. The results of the analysis show that ʈ contains a constant term of the order 1.22ϫ10 Ϫ8 emu/g that does not arise from Ti 3ϩ singles. The data over the temperature range 18 to 100 K indicate that g ʈ 1 ϭ2.54, 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.
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