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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Author: Belokolos, E.D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148640
• 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.

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.