Foundations of Chemistry 22 (2):235-266 (2020)

Abstract
This article discusses the mathematizing of the chemical periodic system as a grid, which leads to a quadratic function or “binódica function” formed by pairs of periods or binodos. We describe the periodic law as an increasing function of the principal quantum number. It works subject to the dialectical laws that generate; first: gradual quantitative changes:, with “duplication” of periods:. Second: radical quantitative changes:, with the emergence of new quantum transitions, growth and a change in the format of the binodos. We use analytical and graphic methods to mathematize Mendeleev’s law, making the size of the binodos and the continuous series depend on the number of the binode, which is the same quantum number. Likewise, we show a graphic representation, in 2D, of a continuous and self-similar spiral function of the elements, in a geometric growth pattern.
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DOI 10.1007/s10698-020-09359-3
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
The 'Chemical Mechanics' of the Periodic Table.Arnout Ceulemans & Pieter Thyssen - 2018 - In Eric Scerri & Guillermo Restrepo (eds.), Mendeleev to Oganesson: A Multidisciplinary Perspective on the Periodic Table. New York, NY, USA: Oxford University Press. pp. 104-121.

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