Determination of Excited-State Ionization Potentials for Lithium-Like Sequence Using Weakest Bound Electron Potential Model Theory

Çelik, Gültekin; Yi̇ldi̇z, M.; Kılıç, Hamdi Şükür

doi:10.12693/aphyspola.112.485

Cited by 5 publications

(6 citation statements)

References 24 publications

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“…Previously, we have employed the WBEPM theory for several physical parameters such as transition probabilities, oscillator strengths and ionization potentials in many-electron atoms. We have obtained very satisfactory results [26][27][28][29][30]. In this study, by courtesy of this method, we have calculated higher lifetimes than published in the literature in Ga(I).…”

Section: Results and Conclusionmentioning

confidence: 81%

Radiative Lifetimes of Rydberg States in Neutral Gallium

2009

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Radiative lifetimes were calculated using weakest bound electron potential model theory for 4s 2 ns5/2 (n ≥ 6) series in neutral gallium. The use of the quantum defect theory and Martin's expressions allowed us to supply lifetime values along by means of the series above. The results obtained in this work presented good agreement with theoretical and experimental values. Moreover, some lifetime values not existing in the literature for highly excited Rydberg states in gallium atom were obtained using this method.

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Section: Results and Conclusionmentioning

confidence: 81%

Radiative Lifetimes of Rydberg States in Neutral Gallium

2009

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“…The WBEPMT and QDO theory, which can be used to calculate the lifetimes for both highly excited states and low-lying states without any increase in complexity in calculation process have a simple calculation procedure. Previously, much spectroscopic data, such as transition probabilities, oscillator strengths, lifetimes of excited levels, and ionization energies were obtained by using the WBEPMT and QDO theory in many-electron atomic and ionic systems [21][22][23][24][25][26][27]. The semiempirical methods, such as the WBEPMT and QDO theory, where one or more parameters needs to be adjusted according to the existing accurate data can be considered as a useful method for much more complicated systems, especially for highly excited states.…”

Section: Resultsmentioning

confidence: 99%

Lifetimes for singly ionized nitrogen

Yi̇ldi̇z

Gökçe

2014

Can. J. Phys.

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The lifetimes of some excited levels for singly ionized nitrogen are calculated by using the weakest bound electron potential model theory and quantum defect orbital theory. We determined expectation values of radii using numerical nonrelativistic Hartree-Fock wave functions. The necessary energy values have been taken from NIST. The present results have been compared with previous calculations and experiments. Most of the lifetime results are presented for the first time in the present work. For N II, because there are few lifetime results available in the literature, the present study compared to existing investigations, provides detailed results for the lifetimes of several of the excited 2s 2 2pns, 2s 2 2pnp, and 2s 2 2pd ¡ 2s 2 2p 2 where, n = 3-6 for the ns series, n = 3-5 for the nd series and n = 3-4 for the np series.Résumé : Nous calculons les temps de vie de certains niveaux excités de l'azote ionisé une fois, en utilisant la théorie du potentiel de l'électron le moins lié et la théorie d'orbitale à défaut quantique. Nous déterminons les valeurs moyennes des rayons, en utilisant les fonctions d'onde numériques de Hartree-Fock non relativiste. Les valeurs d'énergie requises sont celles du NIST. Nous comparons nos résultats avec des résultats de calculs antérieurs et avec des résultats expérimentaux. La plupart des temps de vie présentés sont publiés pour la première fois. Puisqu'il y a peu de résultats disponibles pour N II dans la littérature, ce travail, comparé à d'autres études, fournit des résultats détaillés pour les temps de vie des états excités 2s 2 2pns, 2s 2 2pnp et 2s 2 2pd ¡ 2s 2 2p 2 , où n = 3-6 pour les séries ns, n = 3-5 pour les séries nd et n = 3-4 pour les séries np.[Traduit par la Rédaction]

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“…First column shows nuclear charge (Z), second column shows experimental ionization Potential (I ), third column shows Yildiz ionization potential (I ), column IV shows calculated non-relativistic ionization Potential (I ) and fifth column shows the difference between I and I Figure I-III shows the graphs between nuclear charge (Z) and non-relativistic ionization potential for different series. The red curve shows the work of Yildiz [22], the blue curve an extension of red curve shows the ionization potential calculated in this work. The two curves in all series perfectly overlap…”

Section: Eejp 4 (2023)mentioning

confidence: 89%

“…Saeed et al evaluated transition probabilities and lifetimes of the lithium levels, and found new lifetimes using polynomial of each of the ns, np, nd and nf series [21]. In 2007, Yildiz et al reported excited state ionization potential for Li by using the same theory [22]. In this work, WBEPMT, Breit-Pauli approximation and the concept of iso-spectrum-level series have been used for the precise extrapolation of ionization potentials as a function of the nuclear charge Z.…”

Section: Introductionmentioning

confidence: 99%

Non-Relativistic Calculation of Excited-State Ionization Potentials for Li-Like Ions Using Weakest Bound Electron Potential Model Theory

Mateen,

Zafar,

Rajput

et al. 2023

East Eur. J. Phys.

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In this study, a well-known Weakest Bound Electron Potential Model (WBEPM) was used to determine the exited-state ionization potential of lithium-like elements for different iso-spectrum series such as 1s2 2p1 P1/2, 1s2 3s2 S1/2 , 1s2 3d2 D1/2, 1s2 4s2 S1/2, 1s2 4p2 P1/2, and 1s2 4d2 D1/2 having nuclear charges from Z = 3 to Z = 18. On the other hand, to utilize relativistic correction, Briet-Pauli approximation has also been applied to the ionization potential using a fourth-order polynomial expression in the nuclear charge Z. The deviation within the range of 0.1% has been observed between estimated and experimental values that are quite remarkable. Furthermore, new ionization potentials were proposed for iso-series with Z ranging from 19 to 30.

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Determination of Excited-State Ionization Potentials for Lithium-Like Sequence Using Weakest Bound Electron Potential Model Theory

Cited by 5 publications

References 24 publications

Radiative Lifetimes of Rydberg States in Neutral Gallium

Radiative Lifetimes of Rydberg States in Neutral Gallium

Lifetimes for singly ionized nitrogen

Non-Relativistic Calculation of Excited-State Ionization Potentials for Li-Like Ions Using Weakest Bound Electron Potential Model Theory

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