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Inverse problem in the layer-by-layer growth model

  • Theory of Crystal Structures
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Abstract

The problem of finding structural features of growing structures for which a specified growth shape is allowable is considered within the model of layer-by-layer growth of tilings or packings and the generalization of this model to connectivity graphs. In particular, the problem of revealing growth shapes that are impossible for periodic structures is solved.

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Authors and Affiliations

  1. Vladimir State University, Vladimir, 600000, Russia

    A. V. Shutov & A. V. Maleev

Authors
  1. A. V. Shutov
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  2. A. V. Maleev
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Corresponding author

Correspondence to A. V. Maleev.

Additional information

Dedicated to the International Year of Crystallography

Original Russian Text © A.V. Shutov, A.V. Maleev, 2014, published in Kristallografiya, 2014, Vol. 59, No. 6, pp. 942–949.

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Shutov, A.V., Maleev, A.V. Inverse problem in the layer-by-layer growth model. Crystallogr. Rep. 59, 855–861 (2014). https://doi.org/10.1134/S1063774514060261

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  • DOI: https://doi.org/10.1134/S1063774514060261

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