Structural chemistry and number theory amalgamized: crystal structure of Na 11 Hg 52

The recently elucidated crystal structure of the technologically important amalgam Na 11 Hg 52 is described by means of a method employing some fundamental concept of number theory, namely modular arithmetical (congruence) relations observed between a slightly idealized set of atomic coordinates. In...

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Bibliographic Details
Published in:Acta crystallographica Section B, Structural science, crystal engineering and materials Structural science, crystal engineering and materials, 2015-12, Vol.71 (6), p.752-767
Main Authors: Hornfeck, Wolfgang, Hoch, Constantin
Format: Article
Language:English
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Summary:The recently elucidated crystal structure of the technologically important amalgam Na 11 Hg 52 is described by means of a method employing some fundamental concept of number theory, namely modular arithmetical (congruence) relations observed between a slightly idealized set of atomic coordinates. In combination with well known ideas from group theory, regarding lattice–sublattice transformations, these allow for a deeper mutual understanding of both and provide the structural chemist with a slightly different kind of spectacles, thus enabling a distinct viw on complex crystal structures in general.
ISSN:2052-5206
DOI:10.1107/S205252061501673X