Determination of gyromagnetic ratios from the Zeeman splitting of levels of the 3p5f configuration of the silicon atom

Anisimova, G. P.; Dolmatova, O. A.; Чоффо, М.

doi:10.1134/s0030400x13020021

Cited by 4 publications

(6 citation statements)

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“…However in the case of LK-coupling, two doublets with the same value of orbital angular momentum L lie close to each other and resemble the quartet [4]. Such a situation is observed in 3p5f configuration of Silicon atom (see F levels with j 1 = 1/2 on Fig.1 in [5]). In the 2p5f C I studied system, the tendency to form a quartet of lower F levels with j 1 = 1/2 (see, Fig.1) is observed.…”

Section: Figure 1 Energy Spectrum Of the 2p5f Configuration Of The Cmentioning

confidence: 99%

“…To calculate the Zeeman splitting in the fundamental energy operator matrix from [8][9][10][11][12], elements of energy operator matrix of interaction of the atom with the magnetic field are added. The results are published in [5] for all the cited upper values of M. The Zeeman structure was calculated with the energy operator matrix in the LS-coupling approximation. In this approximation it is more compact as compared to the many matrices in the non-coupling moments representation.…”

Section: Zeeman Splitting and It`s Particularitiesmentioning

confidence: 99%

“…In other words for the carbon atom the energy of interaction with the magnetic field is small as compared to the rest of the interactions, in particular with the electrostatic interaction and the spin-own orbit interaction (ξ p = 42 cm -1 [1]). With the increase of nuclear charge (for example, the 3p5f Si I configuration [5]) the role of the magnetic field increases a bit. Namely, the divergence of g-factors of 3 G 5 , 3 D 1 levels, with respect to Zeeman splitting and the corresponding vector analogues to (g LS in Table 1) are observed in the third decimal place.…”

Section: The Gyromagnetic Ratiosmentioning

confidence: 99%

“…Comparison of g-factors, calculated with intermediate coupling coefficients in LS, LK, jK bases (see, formula(5) in[6]), with their vector counterparts in the zero field.…”

mentioning

confidence: 99%

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

Anisimova¹

2014

AJMP

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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.

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Section: Figure 1 Energy Spectrum Of the 2p5f Configuration Of The Cmentioning

confidence: 99%

Section: Zeeman Splitting and It`s Particularitiesmentioning

confidence: 99%

Section: The Gyromagnetic Ratiosmentioning

confidence: 99%

“…Comparison of g-factors, calculated with intermediate coupling coefficients in LS, LK, jK bases (see, formula(5) in[6]), with their vector counterparts in the zero field.…”

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confidence: 99%

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

Anisimova¹

2014

AJMP

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“…We consider in the present work the npn'f configurations with the same value of the principal quantum number n of the f-electron, in order to track how the characteristics of the same configurations change with increase of nuclear charge. Earlier the Zeeman structure of similar configurations with n'=5 were considered in the works: 3p5f Si I [9] and 2p5f C I [10]. The energy spectra of the considered configurations are presented on Fig.…”

Section: Energy Spectra Of the 2p4f And 3p4f Configurationsmentioning

confidence: 99%

Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2p4f and 3p4f Configurations of the Carbon and Silicon Atoms

Anisimova¹

2015

AJMP

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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 featurescrossings 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.

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A semiempirical calculation of the fine and Zeeman structure of 4p4f and 4p5f configurations of Ge I. Gyromagnetic ratios

Anisimova¹,

Anisimov²,

Gorbenko³

et al. 2017

Opt. Spectrosc.

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Determination of gyromagnetic ratios from the Zeeman splitting of levels of the 3p5f configuration of the silicon atom

Cited by 4 publications

References 4 publications

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

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

Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2<i>p</i>4<i>f</i> and 3<i>p</i>4<i>f</i> Configurations of the Carbon and Silicon Atoms

A semiempirical calculation of the fine and Zeeman structure of 4p4f and 4p5f configurations of Ge I. Gyromagnetic ratios

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Determination of gyromagnetic ratios from the Zeeman splitting of levels of the 3p5f configuration of the silicon atom

Cited by 4 publications

References 4 publications

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

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

Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2&lt;i&gt;p&lt;/i&gt;4&lt;i&gt;f&lt;/i&gt; and 3&lt;i&gt;p&lt;/i&gt;4&lt;i&gt;f&lt;/i&gt; Configurations of the Carbon and Silicon Atoms

A semiempirical calculation of the fine and Zeeman structure of 4p4f and 4p5f configurations of Ge I. Gyromagnetic ratios

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Study of the Zeeman Structure and the Gyromagnetic Ratios of the 2<i>p</i>4<i>f</i> and 3<i>p</i>4<i>f</i> Configurations of the Carbon and Silicon Atoms