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Estimation of the crystal lattice similarity measure by three-dimensional coordinates of lattice nodes

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Abstract

The paper considers the problem of determining the similarity between crystal lattices in the three-dimensional space. We have developed a method based on evaluation of six basic unit cell parameters for each lattice and computation of their similarity measure. By using the method, a computational experiment on extensive comparison of primitive lattice models for all possible lattice systems was carried out and the detailed analysis of the experimental results is presented in the paper.

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Authors and Affiliations

  1. Samara State Aerospace University, Samara, 443086, Russia

    A. V. Kupriyanov & D. V. Kirsh

  2. Image Processing Systems Institute, Russian Academy of Sciences, Samara, 443001, Russia

    A. V. Kupriyanov & D. V. Kirsh

Authors
  1. A. V. Kupriyanov
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  2. D. V. Kirsh
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Correspondence to A. V. Kupriyanov.

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Kupriyanov, A.V., Kirsh, D.V. Estimation of the crystal lattice similarity measure by three-dimensional coordinates of lattice nodes. Opt. Mem. Neural Networks 24, 145–151 (2015). https://doi.org/10.3103/S1060992X15020101

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  • DOI: https://doi.org/10.3103/S1060992X15020101

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