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Condensed models of structures based on loose packings*

Published/Copyright: August 25, 2010
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Abstract

The representation of crystalline structures by condensed models is extended to structures based on loose packings, in which close-packed layers of atoms stack together in such a way that every packed atom touches only two atoms of the layer below. For reasons of uniformity and economy the required minimum set of standard sheets is derived in order to build any possible stacking sequence of either triangular (T) or square (Q) layers involving the regular stacking modes—over holes (closest stacking), over the valleys between two atoms (loose stacking), and over the atoms themselves (simple stacking). In the case of T-layers 25 standard sheets are necessary, and for the QQ-layers only 4 standard sheets are needed. Standard sheets are presented corresponding to some examples of T- and Q-layers, and to the (110) and (100) layers of the body-centered cubic packing, which is also considered a loose packing. About 550 inorganic structure types can be represented by this technique using only 15 different standard sheets.

Published Online: 2010-08-25
Published in Print: 1978
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