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Crystallographic point groups in five dimensions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Downward, Michael |
| Copyright Year | 2011 |
| Abstract | This paper describes an approach to the deduction and labeling of crystallographic point groups in ndimensional spaces where n is an odd number. It shows that point groups in such spaces may be formed from the generators of rotational groups and a single inversion operation characteristic of the odd dimension. Results are given for 188 of the 955 crystallographic point groups in a five dimensional space and the extension to the remainder of the groups is made clear. Since 3 is an odd number, the 32 classical point groups are used to illustrate the use of generators for this purpose. Further extensions to seven dimensions and to even dimensions are then discussed. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.lawrence-menhinick.com/final5dpaper.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Dimensions Hilbert space Natural deduction |
| Content Type | Text |
| Resource Type | Article |
