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Application of Riemann geometry to structures of nano- and macrocrystals

  • Theory of Crystal Structures
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Abstract

The possibility of simulating the structure of real nanomaterials in a Riemann elliptic space is discussed. It is shown that the experimentally obtained parameters of nanomaterials are in good agreement with the simulation patterns. A conclusion is drawn that it is not expedient to isolate nanocrystals into a peculiar group in comparison with polycrystals and single crystals.

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Authors and Affiliations

  1. Institute of Strength Physics and Materials Science, Siberian Branch, Russian Academy of Sciences, Akademicheskiĭ pr. 2/1, Tomsk, 634021, Russia

    B. S. Semukhin

  2. Siberian Physicotechnical Institute, Tomsk State University, Tomsk, 634050, Russia

    S. V. Rudnev

  3. Shubnikov Institute of Crystallography, Russian Academy of Sciences, Leninskiĭ pr. 59, Moscow, 119333, Russia

    R. V. Galiulin

Authors
  1. B. S. Semukhin
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  2. S. V. Rudnev
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  3. R. V. Galiulin
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Correspondence to B. S. Semukhin.

Additional information

Original Russian Text © B.S. Semukhin, S.V. Rudnev, R.V. Galiulin, 2008, published in Kristallografiya, 2008, Vol. 53, No. 4, pp. 581–584.

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Semukhin, B.S., Rudnev, S.V. & Galiulin, R.V. Application of Riemann geometry to structures of nano- and macrocrystals. Crystallogr. Rep. 53, 541–544 (2008). https://doi.org/10.1134/S1063774508040019

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  • DOI: https://doi.org/10.1134/S1063774508040019

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