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Crystallography of Mendeleev’s periodic table

  • Crystallographic Symmetry
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Abstract

Electrons in each atomic orbital (s, p, d, f, and so on) form regular systems on a sphere, which can be easily revealed when constructing Mendeleev’s periodic table. Electrons in orbitals (including hybrid orbitals) can be located only at the vertices of isogons: Platonic bodies; Archimedean bodies; and two infinite series of prisms and antiprisms and their affine transforms, which retain the vertex transitivity. Electrons in crystal structures are distributed over isogonal three-dimensional regular systems that are vertices of partitions composed of isogons.

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Authors and Affiliations

  1. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskii pr. 59, Moscow, 119333, Russia

    R. V. Galiulin

  2. Issyk Kul State University, Karakol, 720044, Kyrgyzstan

    K. B. Imangazieva

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  1. R. V. Galiulin
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  2. K. B. Imangazieva
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__________

Translated from Kristallografiya, Vol. 50, No. 6, 2005, pp. 967–975.

Original Russian Text Copyright © 2005 by Galiulin, Imangazieva.

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Galiulin, R.V., Imangazieva, K.B. Crystallography of Mendeleev’s periodic table. Crystallogr. Rep. 50, 893–901 (2005). https://doi.org/10.1134/1.2132392

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  • DOI: https://doi.org/10.1134/1.2132392

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