Difference between revisions of "Wyckoff set"
From Online Dictionary of Crystallography
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== See also == | == See also == | ||
| − | Section 8.3.2 of ''International Tables of Crystallography, Section A''<br> | + | *[[crystallographic orbit]] |
| + | *[[lattice complex]] | ||
| + | *[[point configuration]] | ||
| + | *[[stabilizer]] | ||
| + | *[[Wyckoff position]] | ||
| + | *Section 8.3.2 of ''International Tables of Crystallography, Section A''<br> | ||
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Revision as of 15:05, 6 February 2009
Definition
A Wyckoff set with respect to a space group G is the set of all points X for which the site-symmetry groups are conjugate subgroups of the normalizer N of G in the group of all affine mappings.
Any Wyckoff position of G is transformed onto itself by all elements of G, but not necessarily by the elements of N. Any Wyckoff set of G is instead transformed onto itself also by those elements of N that are contained in G.
See also
- crystallographic orbit
- lattice complex
- point configuration
- stabilizer
- Wyckoff position
- Section 8.3.2 of International Tables of Crystallography, Section A