Difference between revisions of "Fixed-point-free space group"
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Revision as of 13:55, 10 March 2009
Space groups with no special Wyckoff positions (i.e. with no special crystallographic orbits) are called fixed-point-free space groups.
Fixed-point-free space groups in E2
Only two fixed-point-free space groups exist in E2: p1 and pg.
Fixed-point-free space groups in E3
Thirteen fixed-point-free space groups exist in E3: P1, P21, Pc, Cc, P212121, Pca21, Pna21, P41, P43, P31, P32, P61, P65.
See also
- crystallographic orbit
- point configuration
- Wyckoff position
- Section 8.3.2 of the International Tables of Crystallography, Volume A