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

Abstract

We prove that a neutral atom in mean-field approximation has $\mathrm{O}(4)$ 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.

References in corpus (2)

• Lectures on Classical Integrability
• On a group-theoretical approach to the periodic table of chemical elements