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The γ-brass structure and the Boerdijk-Coxeter helix
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lord, Eric A. Ranganathan, Surabhi |
| Copyright Year | 2004 |
| Abstract | The γ-brass structure was for a long time regarded as a modified bcc structure. It is more accurately described in terms of a 26-atom cluster consisting of four interpenetrating icosahedral clusters. An alternative description in terms of a 38-atom cluster is also illuminating. We discuss the γ-brass structure in terms of the packing of spheres and the packing of 'almost regular' tetrahedra and demonstrate a close relationship to the helical sphere packings investigated by Boerdijk, who considered the configuration of touching spheres centred at the vertices of a Coxeter helix, and extended it by adding an extra layer of spheres. Adding a further layer of spheres gives a rod-like structure in which every sphere of the original helix is surrounded by twelve others, configured as a somewhat distorted icosahedron. Thus each tetrahedron of the initial structure is then shared by four icosahedra. This 26-sphere cluster is a slightly distorted form of the 26-atom γ-brass cluster. |
| Starting Page | 121 |
| Ending Page | 125 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jnoncrysol.2003.11.069 |
| Volume Number | 334 |
| Alternate Webpage(s) | http://materials.iisc.ernet.in/~lord/webfiles/eric/pdfs/65.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
