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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148640 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Belokolos, E.D. 2019-02-18T16:50:57Z 2019-02-18T16:50:57Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/148640 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential |
| spellingShingle |
Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential Belokolos, E.D. |
| 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 |
| author |
Belokolos, E.D. |
| author_facet |
Belokolos, E.D. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
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AT belokolosed mendeleevtableaproofofmadelungruleandatomictietzpotential |
| first_indexed |
2025-12-07T16:35:04Z |
| last_indexed |
2025-12-07T16:35:04Z |
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1850868031690899456 |