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

We prove that a neutral atom in mean-field approximation has 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.

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Bibliographic Details
Main Author: Belokolos, E.D.
Format: Article
Language:English
Published: Інститут математики НАН України 2017
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148640
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spelling irk-123456789-1486402019-02-19T01:31:48Z Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential Belokolos, E.D. We prove that a neutral atom in mean-field approximation has 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. 2017 Article Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential / E.D. Belokolos // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q05; 81V45 DOI:10.3842/SIGMA.2017.038 http://dspace.nbuv.gov.ua/handle/123456789/148640 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description We prove that a neutral atom in mean-field approximation has 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.
format Article
author Belokolos, E.D.
spellingShingle Belokolos, E.D.
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Belokolos, E.D.
author_sort Belokolos, E.D.
title Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
title_short Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
title_full Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
title_fullStr Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
title_full_unstemmed Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential
title_sort mendeleev table: a proof of madelung rule and atomic tietz potential
publisher Інститут математики НАН України
publishDate 2017
url http://dspace.nbuv.gov.ua/handle/123456789/148640
citation_txt Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential / E.D. Belokolos // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT belokolosed mendeleevtableaproofofmadelungruleandatomictietzpotential
first_indexed 2023-05-20T17:30:56Z
last_indexed 2023-05-20T17:30:56Z
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