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Space group of heterogeneous cylinder packing with six 〈110〉 directions

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Abstract

The space group of a periodic cylinder packing structure is reported. Congruent cylinders of infinite length are packed parallel to the six cubic 〈110〉 directions. The structure belongs not to the cubic system but to the tetragonal system. Although the parallel cylinders form the same rhombic lattice along each of the six directions, the packing structure as a whole is heterogeneous: cylinders along two of the directions occupy one Wyckoff position, and cylinders along the remaining four directions occupy the other Wyckoff position. Their combined structure belongs to the space group I4122, which provides two enantiomorphic structures.

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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

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  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. Space group of heterogeneous cylinder packing with six 〈110〉 directions. Glass Phys Chem 38, 41–48 (2012). https://doi.org/10.1134/S1087659612010142

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