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Analysis of the arrangements of two atomic varieties and an algorithm for deriving planar centered cells for 36 nets

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Abstract

An algorithm for obtaining and calculating the arrangements of two atomic varieties in a one-dimensional periodic row is suggested. An algorithm for deriving planar centered cells on a regular trigonal 36 net that reduces two-dimensional cells to one-dimensional rows is developed. In most cases, centered three-dimensional cells may be reduced to two-dimensional cells; this facilitates analysis and comparison of structures. Variants of periodicity “degeneration” for one-, two-, and three-dimensional cases are analyzed. Reduced planar centered cells for n=2–12 (n is the number of sites in the cell) are described.

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Authors
  1. S. V. Borisov
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  2. E. N. Ipatova
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Additional information

Institute of Inorganic Chemistry, Siberian Branch, Russian Academy of Sciences. Translated fromZhurnal Strukturnoi Khimii, Vol. 37, No. 3, pp. 520–527, May–June, 1996.

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Borisov, S.V., Ipatova, E.N. Analysis of the arrangements of two atomic varieties and an algorithm for deriving planar centered cells for 36 nets. J Struct Chem 37, 452–457 (1996). https://doi.org/10.1007/BF02578600

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  • DOI: https://doi.org/10.1007/BF02578600

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