On the atomic-number similarity of the binding energies of electrons in filled shells of elements of the periodic table.

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Title: On the atomic-number similarity of the binding energies of electrons in filled shells of elements of the periodic table.
Authors: Karpov, V.1, Shpatakovskaya, G.2 shpagalya@yandex.ru
Source: Journal of Experimental & Theoretical Physics. Mar2017, Vol. 124 Issue 3, p369-378. 10p.
Subjects: Electron synchrotrons, Electron counters, Binding energy, Nuclear energy, Properties of matter
Abstract: An expression for the binding energies of electrons in the ground state of an atom is derived on the basis of the Bohr-Sommerfeld quantization rule within the Thomas-Fermi model. The validity of this relation for all elements from neon to uranium is tested within a more perfect quantum-mechanical model with and without the inclusion of relativistic effects, as well as with experimental binding energies. As a result, the ordering of electronic levels in filled atomic shells is established, manifested in an approximate atomic-number similarity. It is proposed to use this scaling property to analytically estimate the binding energies of electrons in an arbitrary atom. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: On the atomic-number similarity of the binding energies of electrons in filled shells of elements of the periodic table.
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  Data: <searchLink fieldCode="AR" term="%22Karpov%2C+V%2E%22">Karpov, V.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Shpatakovskaya%2C+G%2E%22">Shpatakovskaya, G.</searchLink><relatesTo>2</relatesTo><i> shpagalya@yandex.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Experimental+%26+Theoretical+Physics%22">Journal of Experimental & Theoretical Physics</searchLink>. Mar2017, Vol. 124 Issue 3, p369-378. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Electron+synchrotrons%22">Electron synchrotrons</searchLink><br /><searchLink fieldCode="DE" term="%22Electron+counters%22">Electron counters</searchLink><br /><searchLink fieldCode="DE" term="%22Binding+energy%22">Binding energy</searchLink><br /><searchLink fieldCode="DE" term="%22Nuclear+energy%22">Nuclear energy</searchLink><br /><searchLink fieldCode="DE" term="%22Properties+of+matter%22">Properties of matter</searchLink>
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  Label: Abstract
  Group: Ab
  Data: An expression for the binding energies of electrons in the ground state of an atom is derived on the basis of the Bohr-Sommerfeld quantization rule within the Thomas-Fermi model. The validity of this relation for all elements from neon to uranium is tested within a more perfect quantum-mechanical model with and without the inclusion of relativistic effects, as well as with experimental binding energies. As a result, the ordering of electronic levels in filled atomic shells is established, manifested in an approximate atomic-number similarity. It is proposed to use this scaling property to analytically estimate the binding energies of electrons in an arbitrary atom. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1134/S1063776117030037
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 369
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      – SubjectFull: Electron synchrotrons
        Type: general
      – SubjectFull: Electron counters
        Type: general
      – SubjectFull: Binding energy
        Type: general
      – SubjectFull: Nuclear energy
        Type: general
      – SubjectFull: Properties of matter
        Type: general
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      – TitleFull: On the atomic-number similarity of the binding energies of electrons in filled shells of elements of the periodic table.
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              Text: Mar2017
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