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arXiv.org e-Print Archive
Preprint . 2004
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https://dx.doi.org/10.48550/ar...
Article . 2004
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On a group-theoretical approach to the periodic table of chemical elements

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Conference object 01 Jan 2004Embargo end date: 01 Jan 2004Publisher:arXiv
Authors: Kibler, Maurice;

doi: 10.48550/arxiv.quant-ph/0408104

arXiv: http://arxiv.org/abs/quant-ph/0408104

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

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).

To be published in the Proceedings of the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11) organized by the Bogoliubov Laboratory of Theoretical Physics of the Joint Institute for Nuclear Research in Dubna and the Doppler Institute of the Czech Technical University in Prague (Prague, Czech Republic, 21-24 June 2004)

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Keywords

Chemical Physics (physics.chem-ph), Quantum Physics, Madelung rule, Atomic Physics (physics.atom-ph), periodic table, FOS: Physical sciences, Mathematical Physics (math-ph), hydrogen-like atom, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], [PHYS.PHYS.PHYS-CHEM-PH] Physics [physics]/Physics [physics]/Chemical Physics [physics.chem-ph], Physics - Atomic Physics, invariance and non-invariance groups, Lie algebra under constraints, harmonic oscillator, Physics - Chemical Physics, [PHYS.PHYS.PHYS-ATOM-PH] Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph], Quantum Physics (quant-ph), [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph], Mathematical Physics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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