Magnetic Interactions in the Energy Operator Matrix of Configurations with s and i Electrons in External Shells
American Journal of Modern Physics
Volume 2, Issue 6, November 2013, Pages: 334-340
Received: Oct. 5, 2013; Published: Nov. 10, 2013
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Authors
Galina Pavlovna Anisimova, Saint -Petersburg State University, Faculty of Physics, 198504, Stary Peterhof, Saint-Petersburg, Russian Federation
Olga Aleksandrovna Dolmatova, Saint -Petersburg State University, Faculty of Physics, 198504, Stary Peterhof, Saint-Petersburg, Russian Federation
Anna Petrovna Gorbenko, Saint -Petersburg State University, Faculty of Physics, 198504, Stary Peterhof, Saint-Petersburg, Russian Federation
Martin Tchoffo, Department of Physics, Faculty of Science, University of Dschang, Po Dschang, Cameroon
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Abstract
In the energy operator matrix of four-level configurations with s and i -electrons in external shells, we take into account the following magnetic interactions: spin-other-orbit, spin-spin, and orbit-orbit interactions. The calculation of matrix elements is done in the uncoupled moments representation with subsequent translation (passage) to the LSJM- representation. Comparison with independent calculations in LSJM-representation for and configurations is done. The method of calculation in electronic configuration is extended to the holes configurations i^25 s As results the energy operator matrix is complemented with new physical conditions on radial integrals of Marvin’s spin interactions, which permits to ameliorate the precision of future calculations of fine structure parameters by semi-empirical methods.
To cite this article
Galina Pavlovna Anisimova, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Martin Tchoffo, Magnetic Interactions in the Energy Operator Matrix of Configurations with s and i Electrons in External Shells, American Journal of Modern Physics. Vol. 2, No. 6, 2013, pp. 334-340. doi: 10.11648/j.ajmp.20130206.20
References
[1]
NIST Atomic Spectra Database Levels Data. 2008.
[2]
Yutsis A.P., Savukinas A.Yu. Mathematical basis of atom theory (in Russian) Vilnius, 1973, 479 P.
[3]
Anisimova G.P., Kapel’kina E.L. "Orbit-orbit interaction in two electronic matrix energy operator of configurations with p and s electrons". Optics and spectroscopy. 1999. T. 87, №6, pp.885-892.
[4]
Anisimova G.P., Efremova E.A., Tsygankova G.A., Tsygankov M.A. "Calculation of fine and Zeeman structure of configuration 2npnd+2p(n+1)s of a carbon atom by semi empirical method," Vestnik of Saint-Petersburg State University, ser.4, issue 36, 2007, pp. 49-60.
[5]
Sobelman I.I. Introduction to the theory of atomic specters. (in Russian) M. 1963, 640 p.
[6]
Varshalovich D.A., Moscalev A.H., Hersonski V.K. Quantum theory of angular momenta. (in Russian) L., 1975, 439 P.
[7]
Kondon E., Shortly G. Theory of atomics specters. (in Russian) M. 1949, 440 p.
[8]
Anisimova G.P., Semenov R.I., Tuchkin V.I. Optics and spectroscopy 1996. T. 80. N4 PP.544-556.
[9]
Anisimova G.P., Semenov R.I., Tuchkin V.I. Optics and spectroscopy 1996. T. 76. N5 PP. 720-725.
[10]
Anisimova G.P., Kapel’kina E.L. "Spin-other-orbit interaction in two electronic matrix energy operator of configurations with p and s electrons. Direct terms". Optics and spectroscopy. 1998.T. 84,n3, pp.364-368.
[11]
Anisimova G.P., Semenov R.I., Tuchkin V.I. Optics and spectroscopy 1994. T. 77. N5 PP. 695-699.
[12]
Anisimova G.P., Kapel’kina E.L. "The account of spin-spin interaction in the energy matrices of the two electrons configurations with p and s electrons". Optics and spectroscopy. 1999.T. 87,n1, pp.15-21.
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