On a group-theoretical approach to the periodic table of chemical elements
Maurice Robert Kibler (IPNL)

TL;DR
This paper explores a group-theoretical framework using SO(4,2)xSU(2) to organize and rationalize the periodic table, aiming to develop a quantitative approach to chemical element properties.
Contribution
It introduces a novel application of the group SO(4,2)xSU(2) to structure the periodic table and proposes a program for quantitative analysis based on this group.
Findings
Periodic table rationalized via SO(4,2)xSU(2)
Qualitative insights into element properties
Foundation for a quantitative group-theoretical approach
Abstract
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).
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Taxonomy
TopicsHistory and advancements in chemistry · Chemical Thermodynamics and Molecular Structure · X-ray Diffraction in Crystallography
