Parametric study of the fine and hyperfine structure for the even parity configurations of atomic niobium

Dembczyński, J.; Elantkowska, M.; Ruczkowski, J.; Öztürk, I. K.; Er, A.; Güzelçimen, Feyza; Başar, Günay; Kröger, S.

doi:10.1088/0953-4075/48/1/015006

Cited by 20 publications

(14 citation statements)

References 30 publications

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“…This approach was first used for the analysis of the configuration system (5d + 6s) 3 of the lanthanum atom [33], then it was applied to the atomic structure of the tantalum atom [40], the scandium ion [41], the titanium ion [42] and the niobium atom [43]. Recently, we reported how to detect the isomeric state I = (3/2) + in 229 Th by means of a laser induced fluorescence method [44] and our semi-empirical calculations.…”

Section: Resultsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms

2016

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Abstract. The continuation of the previous series of papers related to the construction of the energy matrix for complex atoms is presented. The contributions from the second-order perturbation theory concerning electrostatically correlated spin-orbit interactions (CSO), as well as electrostatically correlated hyperfine interactions (CHFS) to the atomic structure of nl N , nl N n1lconfigurations, are considered. This theory assumes that the electron excitation n 0l0 → nl affects spin-orbit splitting and magnetic dipole and electric quadrupole hyperfine structure in the same way which will be discussed below. Part I of the series presented, in general terms, a method allowing the analysis of complex electronic systems. Parts II, III and IV provided a description of an electrostatic interaction up to second-order perturbation theory; they constitute the basis for the design of an efficient computer program package for large-scale calculations of accurate wave functions. Analyses presented in the entire series of our papers clearly demonstrate that obtaining the precise wave functions is impossible without considering the contribution from the second-order effects into fine and hyperfine atomic structure.

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Section: Resultsmentioning

confidence: 99%

Construction of the energy matrix for complex atoms

2016

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“…The examples of the results of the semi-empirical fine and hyperfine structure analysis for Nb I are shown in table 1. Details of the calculations and a more extensive comparison to the experiment were presented in the previously published paper [26].…”

Section: Resultsmentioning

confidence: 99%

“…This procedure is similar to the considerations carried out by Rajnak for l N configuration [9]. The configuration interaction effects were applied by us for the interpretation of the spectra of the lanthanum [25], tantalum [27] and niobium atom [26]. This required the introduction of new formulae, which are presented in this work.…”

Section: Introductionmentioning

confidence: 94%

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Construction of the energy matrix for complex atoms Part III: Excitation of two equivalent electrons from a closed shell into an open shell or an empty shell

2015

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Abstract. The effects of the second-order configuration interaction perturbations on the energy-level structure of nl N , nl N n1l1 n2l2 configurations have been studied. In the previous works (see Part I and II) we presented a method, which allows to analyse complex electronic systems composed of configurations including up to four open shells and the formulae for the first-order electrostatic interaction between sophisticated configurations. In the present paper we consider two-electron core excitations for and between the configurations under study. They constitute the basis for the design of an efficient computer program package allowing large-scale calculations providing accurate wave functions.

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“…The configuration interaction effects were applied by us for the interpretation of the spectra of the lanthanum [26], tantalum [29] and niobium atom [30]. This required the introduction of new formulae, which are presented in this work.…”

Section: Nlmentioning

confidence: 99%

Construction of the energy matrix for complex atoms Part IV: Excitation of one electron from a closed shell into an open shell

2015

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Abstract. This work is a continuation of the previous series related to the construction of the energy matrix for complex atoms. The effects of the second-order configuration interaction perturbations on the energylevel structure of nl N , nl N n1l1 n2l2 configurations were studied. In this paper we consider one-electron core excitations for and between the configurations under study. This work combined with Part II and III is a complete description of an electrostatic interaction. In Part I we presented a method which allows to analyse complex electronic systems. They constitute the basis for the design of an efficient computer program package allowing large scale calculations which provide accurate wave functions.

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Parametric study of the fine and hyperfine structure for the even parity configurations of atomic niobium

Cited by 20 publications

References 30 publications

Construction of the energy matrix for complex atoms

Construction of the energy matrix for complex atoms

Construction of the energy matrix for complex atoms Part III: Excitation of two equivalent electrons from a closed shell into an open shell or an empty shell

Construction of the energy matrix for complex atoms Part IV: Excitation of one electron from a closed shell into an open shell

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