Hornfeck Wolfgang, Hoch Constantin
Institut für Materialphysik im Weltraum, Deutsches Zentrum für Luft- und Raumfahrt (DLR), 51170 Köln, Germany.
Department Chemie, Ludwig-Maximilians-Universität, Butenandtstraße 5-13, 81377 München, Germany.
Acta Crystallogr B Struct Sci Cryst Eng Mater. 2015 Dec 1;71(Pt 6):752-67. doi: 10.1107/S205252061501673X. Epub 2015 Nov 7.
The recently elucidated crystal structure of the technologically important amalgam Na11Hg52 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.
利用一种运用数论基本概念的方法，即从一组稍微理想化的原子坐标中观察到的模算术（同余）关系，描述了具有重要技术意义的汞齐Na11Hg52的最新阐明的晶体结构。结合群论中关于晶格-子晶格变换的已知概念，这些有助于对两者有更深入的相互理解，并为结构化学家提供一种略有不同的视角，从而使人们能够对一般的复杂晶体结构有独特的见解。
