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
Volume 3, Issue 4, July 2014, Pages: 143-151
Received: May 28, 2014; Accepted: May 29, 2014; Published: Jun. 20, 2014
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Authors
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 Luther Tchoffo, University of Dschang, Po Dschang, Cameroon
Galina Aleksandrovna Tsygankova, Saint-Petersburg State University, Saint-Petersburg, Russian Federation
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Abstract
By the semiempirical method in the intermediate coupling, the fine-structure parameters of 1sni Helium atom configurations were determined from the resolution of the system of nonlinear equations by the Newton’s iteration method. The system is based on an energy operator nondiagonal matrix, in which the following interactions were taken into account: the electrostatic, the spin-orbit (own and other) and the spin-spin interactions. With the obtained fine-structure parameters, the numerical diagonalization of the energy operator matrix was effected. The result was the calculated energies, coinciding to last digit with the experimental analogues, and the intermediate coupling coefficients. The gyromagnetic ratios of the 3I6 and 1I6 levels were determined and the appreciation of the character of the coupling in the consider systems was done. The Zeeman structure of the 1sni configurations was investigated. Its particularity and the domain of linearity of the magnetic field were determined. The gyromagnetic ratios of all the four configurations levels were calculated by the magnetic component splitting.
Keywords
Energy Operator Matrix, LSJM Representation, Uncoupled Moments Representation, Zeeman Splitting, Magnetic Field, Crossing and Anticrossings of the Magnetic Sublevels
To cite this article
Galina Pavlovna Anisimova, Igor Cheslavovich Mashek, Olga Aleksandrovna Dolmatova, Anna Petrovna Gorbenko, Robert Ivanovich Semenov, Martin Luther Tchoffo, Galina Aleksandrovna 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. Vol. 3, No. 4, 2014, pp. 143-151. doi: 10.11648/j.ajmp.20140304.11
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