Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom

Galina Pavlovna Anisimova; Igor Cheslavovich Mashek; Olga Aleksandrovna Dolmatova; Anna Petrovna Gorbenko; Robert Ivanovich Semenov; Martin Tchoffo; Galina Aleksandrovna Tsygankova

doi:doi:10.11648/j.ajmp.20140306.12

Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, Martin Tchoffo, Galina Aleksandrovna Tsygankova

Published in American Journal of Modern Physics (Volume 3, Issue 6)

Received: 16 October 2014 Accepted: 25 October 2014 Published: 30 October 2014

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Abstract

The gyromagnetic ratios of levels (the g-factors) – are one of the most important characteristics of atoms. There are no corresponding experimental data in the literature for npn`l configurations of carbon atom. That is why the theoretical study of the fine and the Zeeman structures for the determination of the g-factors is ongoing. All the calculations are effected in one configuration approximation, with the energy operator matrix, in which the maximum possible number of interactions is taken into account, including the magnetic, spin-orbit (own and other) and spin-spin interactions. The fine structures were studied in three approximations (LS, LK, jK) for the establishment of the character of the coupling in 2p5f C I configuration. During the study of Zeeman splitting (except the g-factors) features of it were determined: the fields of crossings and anticrossings of magnetic components. In all steps of calculations the numerical digitalization of corresponding energy operator matrices were effected, e.g. the results presented in the paper were obtain in the intermediate coupling approximation.

Published in	American Journal of Modern Physics (Volume 3, Issue 6)
DOI	10.11648/j.ajmp.20140306.12
Page(s)	218-223
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Fine Structure, Zeeman Splitting, Crossings and Anticrossings of Magnetic Components, G-Factors, Energy Operator Matrix

References

[1]	G.P. Anisimova, O.A. Dolmatova, V.A. Polischuk, and G.A. Tsygankova, Semiempirical Calculation of the Fine-Structure Parameters, the Intermediate Coupling Coefficients, and Gyromagnetic Ratios for npn`f Configurations C I, Si I, Ge I and P II, Vestnik SPbU 4 (1), 215 (2013) [in Russian].
[2]	Edward S.Chang, and Murray Geller, Improved Experimental Energy Levels of Carbon I from Solar Infrared Spectra, Phys. Scr. 58, 330 (1998).
[3]	L. Johansson, Spectrum and term system of the neutral carbon atom, Arkiv för Physik 31 (15), 201 (1966).
[4]	A.P. Yutsis, and A.Yu. Savukinas, Mathematical Foundations of the Theory of Atom (Vil`nyus, 1973) [in Russian].
[5]	G.P. Anisimova, O.A. Dolmatova, M. Choffo, Determination of Gyromagnetic Ratios from the Zeeman Splitting of Levels of the 3p5f Configuration of the Silicon Atom, Optics and Spectroscopy 114 (2), 177 (2013).
[6]	G.P. Anisimova, I. Ch. Mashek, O. A. Dolmatova, A.P. Gorbenko, R. I. Semenov, M. Tchoffo, G.A. Tsygankova, The Fine-Structure Parameters and Zeeman Splitting of Levels of the Configurations 1sni (n = 7 − 10) of the Helium Atom, American Journal of Modern Physics 3 (4), 143 (2014).
[7]	I.I. Sobelman, Introduction to the Theory of Atomic Spectras (Moscow, 1963) [in Russian].
[8]	G.P. Anisimova, and E.L. Kapel`kina, Spin-Other-Orbit Interaction in Two-Electron Configurations with p and f Electrons: Direct Terms, Optics and Spectroscopy 84 (3), 313 (1998).
[9]	G.P. Anisimova, and E.L. Kapel`kina, Spin-Other-Orbit Interaction in Two-Electron Configurations with p and f Electrons: Excharge Terms, Optics and Spectroscopy 84 (4), 476 (1998).
[10]	G.P. Anisimova, and E.L. Kapel`kina, Two-Electron Matrices of the Total Energy Operator of the Spin-Orbit Magnetic Interaction for pf, p5f, fp, and f13p Configurations, Optics and Spectroscopy 84 (6), 799 (1998).
[11]	G.P. Anisimova, and E.L. Kapel`kina, Account for the Spin-Spin Interaction in the Energy Matrices of Two-Electron Configurations with p and f Electrons, Optics and Spectroscopy 87 (1), 9 (1999).
[12]	G.P. Anisimova, and E.L. Kapel`kina, Orbit-Orbit Interaction in Two-Electron Matrices of the Energy Operator for pf Configurations, Optics and Spectroscopy 87 (6), 805 (1999).

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APA Style

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, et al. (2014). Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. American Journal of Modern Physics, 3(6), 218-223. https://doi.org/10.11648/j.ajmp.20140306.12

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ACS Style

Galina Pavlovna Anisimova; Igor Cheslavovich Mashek; Olga Aleksandrovna Dolmatova; Anna Petrovna Gorbenko; Robert Ivanovich Semenov, et al. Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. Am. J. Mod. Phys. 2014, 3(6), 218-223. doi: 10.11648/j.ajmp.20140306.12

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AMA Style

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, et al. Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. Am J Mod Phys. 2014;3(6):218-223. doi: 10.11648/j.ajmp.20140306.12

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@article{10.11648/j.ajmp.20140306.12,
  author = {Galina Pavlovna Anisimova and Igor Cheslavovich Mashek and Olga Aleksandrovna Dolmatova and Anna Petrovna Gorbenko and Robert Ivanovich Semenov and Martin Tchoffo and Galina Aleksandrovna Tsygankova},
  title = {Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {6},
  pages = {218-223},
  doi = {10.11648/j.ajmp.20140306.12},
  url = {https://doi.org/10.11648/j.ajmp.20140306.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140306.12},
  abstract = {The gyromagnetic ratios of levels (the g-factors) – are one of the most important characteristics of atoms. There are no corresponding experimental data in the literature for npn`l configurations of carbon atom. That is why the theoretical study of the fine and the Zeeman structures for the determination of the g-factors is ongoing. All the calculations are effected in one configuration approximation, with the energy operator matrix, in which the maximum possible number of interactions is taken into account, including the magnetic, spin-orbit (own and other) and spin-spin interactions. The fine structures were studied in three approximations (LS, LK, jK) for the establishment of the character of the coupling in 2p5f C I configuration. During the study of Zeeman splitting (except the g-factors) features of it were determined: the fields of crossings and anticrossings of magnetic components. In all steps of calculations the numerical digitalization of corresponding energy operator matrices were effected, e.g. the results presented in the paper were obtain in the intermediate coupling approximation.},
 year = {2014}
}

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TY  - JOUR
T1  - Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom
AU  - Galina Pavlovna Anisimova
AU  - Igor Cheslavovich Mashek
AU  - Olga Aleksandrovna Dolmatova
AU  - Anna Petrovna Gorbenko
AU  - Robert Ivanovich Semenov
AU  - Martin Tchoffo
AU  - Galina Aleksandrovna Tsygankova
Y1  - 2014/10/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140306.12
DO  - 10.11648/j.ajmp.20140306.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 218
EP  - 223
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140306.12
AB  - The gyromagnetic ratios of levels (the g-factors) – are one of the most important characteristics of atoms. There are no corresponding experimental data in the literature for npn`l configurations of carbon atom. That is why the theoretical study of the fine and the Zeeman structures for the determination of the g-factors is ongoing. All the calculations are effected in one configuration approximation, with the energy operator matrix, in which the maximum possible number of interactions is taken into account, including the magnetic, spin-orbit (own and other) and spin-spin interactions. The fine structures were studied in three approximations (LS, LK, jK) for the establishment of the character of the coupling in 2p5f C I configuration. During the study of Zeeman splitting (except the g-factors) features of it were determined: the fields of crossings and anticrossings of magnetic components. In all steps of calculations the numerical digitalization of corresponding energy operator matrices were effected, e.g. the results presented in the paper were obtain in the intermediate coupling approximation.
VL  - 3
IS  - 6
ER  -

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Author Information

Galina Pavlovna Anisimova

Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Igor Cheslavovich Mashek

Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Olga Aleksandrovna Dolmatova

Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Anna Petrovna Gorbenko

Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Robert Ivanovich Semenov

Saint-Petersburg State University, Saint-Petersburg, Russian Federation
Martin Tchoffo

Mesoscopic and Multilayer Structure Laboratory, Department of Physics, Faculty of Science, University of Dschang, Po Box 67 Dschang, Cameroon
Galina Aleksandrovna Tsygankova

Saint-Petersburg State University, Saint-Petersburg, Russian Federation

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APA Style

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, et al. (2014). Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. American Journal of Modern Physics, 3(6), 218-223. https://doi.org/10.11648/j.ajmp.20140306.12

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ACS Style

Galina Pavlovna Anisimova; Igor Cheslavovich Mashek; Olga Aleksandrovna Dolmatova; Anna Petrovna Gorbenko; Robert Ivanovich Semenov, et al. Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. Am. J. Mod. Phys. 2014, 3(6), 218-223. doi: 10.11648/j.ajmp.20140306.12

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AMA Style

Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, et al. Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom. Am J Mod Phys. 2014;3(6):218-223. doi: 10.11648/j.ajmp.20140306.12

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@article{10.11648/j.ajmp.20140306.12,
  author = {Galina Pavlovna Anisimova and Igor Cheslavovich Mashek and Olga Aleksandrovna Dolmatova and Anna Petrovna Gorbenko and Robert Ivanovich Semenov and Martin Tchoffo and Galina Aleksandrovna Tsygankova},
  title = {Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom},
  journal = {American Journal of Modern Physics},
  volume = {3},
  number = {6},
  pages = {218-223},
  doi = {10.11648/j.ajmp.20140306.12},
  url = {https://doi.org/10.11648/j.ajmp.20140306.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20140306.12},
  abstract = {The gyromagnetic ratios of levels (the g-factors) – are one of the most important characteristics of atoms. There are no corresponding experimental data in the literature for npn`l configurations of carbon atom. That is why the theoretical study of the fine and the Zeeman structures for the determination of the g-factors is ongoing. All the calculations are effected in one configuration approximation, with the energy operator matrix, in which the maximum possible number of interactions is taken into account, including the magnetic, spin-orbit (own and other) and spin-spin interactions. The fine structures were studied in three approximations (LS, LK, jK) for the establishment of the character of the coupling in 2p5f C I configuration. During the study of Zeeman splitting (except the g-factors) features of it were determined: the fields of crossings and anticrossings of magnetic components. In all steps of calculations the numerical digitalization of corresponding energy operator matrices were effected, e.g. the results presented in the paper were obtain in the intermediate coupling approximation.},
 year = {2014}
}

Copy | Download

TY  - JOUR
T1  - Features of the Zeeman Splitting and G-Factors of 2p5f Configuration Levels of Carbon Atom
AU  - Galina Pavlovna Anisimova
AU  - Igor Cheslavovich Mashek
AU  - Olga Aleksandrovna Dolmatova
AU  - Anna Petrovna Gorbenko
AU  - Robert Ivanovich Semenov
AU  - Martin Tchoffo
AU  - Galina Aleksandrovna Tsygankova
Y1  - 2014/10/30
PY  - 2014
N1  - https://doi.org/10.11648/j.ajmp.20140306.12
DO  - 10.11648/j.ajmp.20140306.12
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 218
EP  - 223
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20140306.12
AB  - The gyromagnetic ratios of levels (the g-factors) – are one of the most important characteristics of atoms. There are no corresponding experimental data in the literature for npn`l configurations of carbon atom. That is why the theoretical study of the fine and the Zeeman structures for the determination of the g-factors is ongoing. All the calculations are effected in one configuration approximation, with the energy operator matrix, in which the maximum possible number of interactions is taken into account, including the magnetic, spin-orbit (own and other) and spin-spin interactions. The fine structures were studied in three approximations (LS, LK, jK) for the establishment of the character of the coupling in 2p5f C I configuration. During the study of Zeeman splitting (except the g-factors) features of it were determined: the fields of crossings and anticrossings of magnetic components. In all steps of calculations the numerical digitalization of corresponding energy operator matrices were effected, e.g. the results presented in the paper were obtain in the intermediate coupling approximation.
VL  - 3
IS  - 6
ER  -

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