Mathematical Physics


32 Point Groups of Three Dimensional Crystal Cells Described by 5 Bits

Authors: Giuliano Bettini

There are 32 possible combinations of symmetry operations that define the external symmetry of crystals. These 32 possible combinations result in the 32 crystal classes. But for a radar engineer it is inevitable to associate "32" to "5 bits". I submit a tentative classification of the 32 crystal classes with a 5 bit classification, obviously with a (tentative) physical meaning of each bit. Each bit means a physical property.

Comments: 9 pages, v3 in Italian, v2 in English, corrections to the tables, and a new table added.

Download: PDF

Submission history

[v1] 29 Dec 2010
[v2] 1 Jan 2011
[v3] 17 Jan 2011

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