Tiling by numbers

Michael OKeeffe

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Tiling by numbers

机译：按数字平铺

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There is a long history of overlapping problems in chemistry and geometry. A classic example is the problem of the densest packing of equal spheres. Johannes Kepler conjectured in 1611 that the face-centred cubic lattice ('cubic closest packing') was the solution. In 1883, W. Barlow showed that there is an infinite family of equally dense sphere packings, of which the hexagonal closest packing is the simplest member, and correctly suggested that metallic elements would have such structures. Later, Barlow and Sir William Pope proposed structures based on sphere packings, correctly again, for simple salts. This was exactly what W. H. and W. L. Bragg needed for the first X-ray diffraction solutions of crystal structures, such as those of ZnS and NaCl in 1913.

机译：在化学和几何学上存在重叠问题的悠久历史。一个经典的例子是相等球体最密集的堆积问题。约翰尼斯·开普勒（Johannes Kepler）于1611年推测，以面心为中心的立方晶格（“立方最近堆积”）是解决方案。在1883年，W。Barlow证明了存在着无限个相等密度的球状填料，其中最接近六角形的填料是最简单的构件，并正确地建议金属元素具有这种结构。后来，巴洛（Barlow）和威廉·波普（Sir William Pope）爵士又一次正确地提出了基于球状填料的结构，用于简单盐。这正是W.H.和W.L.Bragg对1913年的ZnS和NaCl等晶体结构的第一个X射线衍射溶液所需要的。

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来源
《Nature》 |1999年第6745期|p.617-618|共2页
作者
Michael OKeeffe;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
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Tiling by numbers

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