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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2017 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148640 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699331586359296 |
|---|---|
| author | Belokolos, E.D. |
| author_facet | Belokolos, E.D. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:35:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148640 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:35:04Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential Belokolos, E.D. |
| title | 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_short | Mendeleev Table: a Proof of Madelung Rule and Atomic Tietz Potential |
| title_sort | mendeleev table: a proof of madelung rule and atomic tietz potential |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148640 |
| work_keys_str_mv | AT belokolosed mendeleevtableaproofofmadelungruleandatomictietzpotential |