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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 038, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.038 (Mi sigma1238) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential

Eugene D. Belokolos

Department of Theoretical Physics, Institute of Magnetism, National Academy of Sciences of Ukraine, 36-b Vernadsky Blvd., Kyiv, 252142, Ukraine
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DOI: https://doi.org/10.3842/SIGMA.2017.038
Abstract: We prove that a neutral atom in mean-field approximation has ${\rm O}(4)$ symmetry and this fact explains the empirical $[n+l,n]$-rule or Madelung rule which describes effectively periods, structure and other properties of the Mendeleev table of chemical elements.
Keywords: Madelung rule; Mendeleev periodic system of elements; Tietz potential.
Received: February 27, 2017; in final form May 22, 2017; Published online June 7, 2017
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 81V45
Language: English
Citation: Eugene D. Belokolos, “Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential”, SIGMA, 13 (2017), 038, 15 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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