On a group-theoretical approach to the periodic table of chemical elements

Maurice R. Kibler (1)

1 IPNL - Institut de Physique Nucléaire de Lyon

This paper is concerned with the application of the group SO(4,2)xSU(2) to the periodic table of chemical elements. It is shown how the Madelung rule of the atomic shell model can be used for setting up a periodic table that can be further rationalized via the group SO(4,2)xSU(2) and some of its subgroups. Qualitative results are obtained from the table and the general lines of a programme for a quantitative approach to the properties of chemical elements are developed on the basis of the group SO(4,2)xSU(2).

Mots clés: hydrogen-like atom; harmonic oscillator; invariance and non-invariance groups; Lie algebra under constraints; Madelung rule; periodic table

Domaines: Physique Quantique [quant-ph]; Chimie-Physique [physics.chem-ph]; Physique Atomique [physics.atom-ph]; Physique mathématique [math-ph]

Maurice R. Kibler. On a group-theoretical approach to the periodic table of chemical elements. Jun 2004, Prague. ⟨hal-00002554⟩