A semiempirical calculation of the fine and Zeeman structure of 4p4f and 4p5f configurations of Ge I. Gyromagnetic ratios


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Abstract

The gyromagnetic ratios (g-factors) belong to the most important characteristics of atoms. For the 4p4f configuration of a germanium atom experimental values of g-factors are available only for four levels, while similar experimental data on the 4p5f configuration of Ge I are absent. Therefore, a theoretical study of the fine and Zeeman structures is topical for determining the gyromagnetic ratios. All the calculations are performed in the one-configuration approximation with the energy-operator matrix containing a maximum possible number of interactions, including magnetic: spin-orbit (own and other), spin-spin, and also orbitorbit interaction. The fine structure has been examined in three (LS, LK, and jK) approximations in order to establish the nature of coupling in the systems studied and the reliability of g-factors. Apart from the g-factors, in studying the Zeeman splitting, its specific features—the crossing and anticrossing fields of magnetic components— have been determined. A comparative analysis of g-factors was performed that showed that our results are in agreement with the available, albeit few in number, experimental data. At all stages, the corresponding energy-operator matrices were numerically diagonalized, i.e., all the results presented in the paper were obtained in the intermediate coupling scheme.

About the authors

G. P. Anisimova

St. Petersburg State University, Peterhof

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

Yu. I. Anisimov

St. Petersburg State University, Peterhof

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

A. P. Gorbenko

St. Petersburg State University, Peterhof

Author for correspondence.
Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

O. A. Dolmatova

S.M. Budoynny Military Academy of Communications

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 194064

I. R. Krylov

St. Petersburg State University, Peterhof

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

I. Ch. Mashek

St. Petersburg State University, Peterhof

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

G. A. Zygankova

St. Petersburg State University, Peterhof

Email: spbgor@mail.ru
Russian Federation, St. Petersburg, 198504

M. Tchoffo

Department of Physics, Faculty of Science

Email: spbgor@mail.ru
Cameroon, Dschang

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