Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2p4f and 3p4f Configurations of the Carbon and Silicon Atoms
American Journal of Modern Physics
Volume 4, Issue 6, November 2015, Pages: 296-303
Received: Dec. 14, 2015; Accepted: Dec. 21, 2015; Published: Jan. 4, 2016
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Authors
Galina Pavlovna Anisimova, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
Olga Aleksandrovna Dolmatova, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
Anna Petrovna Gorbenko, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
Igor Ratmirovich Krylov, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
Igor Cheslavovich Mashek, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
Martin Tchoffo, Mesoscopic and Multilayer Structure Laboratory, Department of Physics, Faculty of Science, University of Dschang, Dschang, Cameroon
Galina Aleksandrovna Tsygankova, Physics Department, Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract
The present article is a continuation of the authors works devoted to the theoretical study of the fine structure parameters, and other atom characteristics, for which there are no experimental data except for energies of levels of the fine structure. The authors have studied Zeeman structure of the 2p4f and 3p4f configurations and revealed its particular features — crossings and anticrossings of the magnetic sublevels. From splittings of levels in the assured linear range, the authors have calculated gyromagnetic ratios and compared them with their counterparts in the absence of the field. The study of the Zeeman structure is interesting in its own right. Furthermore, through Zeeman splitting in the linear domain of the magnetic field, one can determine the gyromagnetic ratios — one of the most important characteristics of the atoms. Calculation of the Zeeman structure is correct, if in the absence of the field, during the diagonalisation of the energy operator matrix, one obtains the calculated energies, practically coinciding with experimental values (zero energy residuals). To this effect it is necessary to know the numerical values of fine structure parameters. Their exact calculation is possible, if in the energy operator matrix one takes into account not only the electrostatic interaction and the spin-own orbit interaction, where the majority of authors are limited, but also the magnetic interactions, namely: spin-other-orbit, spin-spin, and also the orbit-orbit interactions. Consideration of these interactions is very important for the obtaining null residuals in energy. It is known that, by increasing the role of the magnetic interactions, a deviation from LS-coupling is observed. This is realize in the studied 2p4f C I and 3p4f Si I systems. Authors executed calculations in the jK-coupling approximation taking into account the doublet character of the energy spectra of the considered systems. Later the numerical value of fine structure parameters were introduced in the energy operator matrix; written in the LK and LS-coupling approximations. This was very useful, as gyromagnetic ratios, calculated by intermediate coupling coefficients in different basis, do not always coincide with each other. The comparison of g-factors, determined by different bases in the absence of the field, with the gyromagnetic ratios, calculated by Zeeman splitting was necessary.
Keywords
Fine Structure, Zeeman Splitting, Crossings and Anticrossings of Magnetic Components, Gyromagnetic Ratios, Energy Operator Matrix
To cite this article
Galina Pavlovna Anisimova, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Igor Ratmirovich Krylov, Igor Cheslavovich Mashek, Martin Tchoffo, Galina Aleksandrovna Tsygankova, Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2p4f and 3p4f Configurations of the Carbon and Silicon Atoms, American Journal of Modern Physics. Vol. 4, No. 6, 2015, pp. 296-303. doi: 10.11648/j.ajmp.20150406.17
Copyright
Copyright © 2015 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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