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An interpretation of three intersections of cubic and rhombohedral structures based on the conservative nature of force skeletons

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Abstract

A crystallographic analysis of the structures of inorganic compounds has shown the uniformity of “force skeletons”: pseudotranslational sublattices of atoms determining the structure of different classes of materials. At three specific c hex/a hex ratios, structures with a rhombohedral cell can be considered in the pseudocubic representation with P, I, and F cells (c hex/a hex is, respectively, 1.225, 0.612, and 2.45). The large fraction of structures with c hex/a hex ratios close to these values indicates the stability of these atomic constructions. Force skeletons with a typical hexagonal subcell (different for cations and anions), which reflects the relationship of these structures with the high-symmetry structural types of sphalerite (ZnS) and galena (PbS), have been established for the representative group of sulfides structures with a cell parameter ∼4 Å in the direction perpendicular to the mirror plane.

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Correspondence to S. V. Borisov.

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Original Russian Text © S.V. Borisov, S.A. Magarill, N.V. Pervukhina, 2012, published in Kristallografiya, 2012, Vol. 57, No. 5, pp. 735–739.

On the 100th anniversary of the discovery of X-ray diffraction

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Borisov, S.V., Magarill, S.A. & Pervukhina, N.V. An interpretation of three intersections of cubic and rhombohedral structures based on the conservative nature of force skeletons. Crystallogr. Rep. 57, 656–660 (2012). https://doi.org/10.1134/S1063774512050033

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  • DOI: https://doi.org/10.1134/S1063774512050033

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