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Continuous deformation of sphere-packing structures extending over simple, body-centered, and face-centered cubic lattices

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Abstract

We have shown the existence of a continuous deformation extending over three spheres-packing structures corresponding to simple cubic, body-centered cubic, and face-centered cubic lattices. Throughout the continuous deformation, each sphere makes contact with at least six spheres, and the entire structure sustains a packing structure. The changes in the packing densities, contact numbers, and space groups caused by the deformation processes are explained in detail.

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Authors and Affiliations

  1. National Institute of Advanced Industrial Science and Technology, (AIST) 1-2 Namiki, Tsukuba, 305-8564, Japan

    Yoshinori Teshima & Takeo Matsumoto

  2. Kanazawa University (Emeritus Professor), 2-77 Tsuchisimizu, Kanazawa, 920-0955, Japan

    Takeo Matsumoto

Authors
  1. Yoshinori Teshima
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  2. Takeo Matsumoto
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Correspondence to Yoshinori Teshima.

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Teshima, Y., Matsumoto, T. Continuous deformation of sphere-packing structures extending over simple, body-centered, and face-centered cubic lattices. Glass Phys Chem 38, 49–54 (2012). https://doi.org/10.1134/S1087659612010154

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  • DOI: https://doi.org/10.1134/S1087659612010154

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