A semiempirical calculation of the fine and Zeeman structure of 4p4f and 4p5f configurations of Ge I. Gyromagnetic ratios
- Authors: Anisimova G.P.1, Anisimov Y.I.1, Gorbenko A.P.1, Dolmatova O.A.2, Krylov I.R.1, Mashek I.C.1, Zygankova G.A.1, Tchoffo M.3
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Affiliations:
- St. Petersburg State University, Peterhof
- S.M. Budoynny Military Academy of Communications
- Department of Physics, Faculty of Science
- Issue: Vol 122, No 4 (2017)
- Pages: 511-522
- Section: Spectroscopy of Atoms and Molecules
- URL: https://bakhtiniada.ru/0030-400X/article/view/165359
- DOI: https://doi.org/10.1134/S0030400X17040038
- ID: 165359
Cite item
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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