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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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Інститут математики НАН України
2017
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148640 |
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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 |
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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 |
_version_ |
1796153461327265792 |