A Group-Theoretical Approach to the Periodic Table of Chemical Elements: Old and New Developments
M. R. Kibler (IPNL)

TL;DR
This paper explores a group-theoretical framework using SO(4,2)xSU(2) to classify chemical elements, offering new insights into the structure and organization of the Periodic Table.
Contribution
It introduces a novel group-theoretical approach to the Periodic Table, expanding on previous classifications with a focus on the noncompact group SO(4,2)xSU(2).
Findings
Provides a new classification scheme for elements
Connects group theory with chemical periodicity
Suggests potential for unifying matter classification
Abstract
This paper is a companion article to the review paper by the present author devoted to the classification of matter constituents (chemical elements and particles) and published in the first part of the proceedings of The Second Harry Wiener International Memorial Conference (see quant-ph/0310155). It is mainly concerned with a group-theoretical approach to the Periodic Table of the neutral elements based on the noncompact group SO(4,2)xSU(2).
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Taxonomy
TopicsHistory and advancements in chemistry · Chemical Thermodynamics and Molecular Structure · Geochemistry and Geologic Mapping
