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

Eugene D. Belokolos
2017 Symmetry, Integrability and Geometry: Methods and Applications  
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.
doi:10.3842/sigma.2017.038 fatcat:zcdftockdjel5gwt26olwbcela