Difference between revisions of "Wyckoff position"
From Online Dictionary of Crystallography
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== Definition == | == Definition == | ||
| − | A '''Wyckoff position''' consists of all points ''X'' of a space group G for which the [[site symmetry|site-symmetry groups]] are conjugate subgroups of G. | + | A '''Wyckoff position''' consists of all points ''X'' of a space group G for which the [[site symmetry|site-symmetry groups]] are [[conjugacy class|conjugate]] subgroups of G. |
| − | Each Wyckoff positon of a space group is labelled by a letter which is called the ''Wyckoff letter''. | + | Each Wyckoff positon of a [[space group]] is labelled by a letter which is called the ''Wyckoff letter''. |
| − | The number of different Wyckoff position of each space group is finite, the maximal numbers being 9 for plane groups (realized in ''p''2''mm'') and 27 for space groups (realized in ''Pmmm''). | + | The number of different Wyckoff position of each [[space group]] is finite, the maximal numbers being 9 for plane groups (realized in ''p''2''mm'') and 27 for space groups (realized in ''Pmmm''). |
== See also == | == See also == | ||
Revision as of 13:17, 27 February 2007
Position de Wyckoff (Fr). Wyckoff punktlage (Ge). Posizione di Wyckoff (It). ワイコフ位置 (Ja)
Definition
A Wyckoff position consists of all points X of a space group G for which the site-symmetry groups are conjugate subgroups of G.
Each Wyckoff positon of a space group is labelled by a letter which is called the Wyckoff letter.
The number of different Wyckoff position of each space group is finite, the maximal numbers being 9 for plane groups (realized in p2mm) and 27 for space groups (realized in Pmmm).
See also
- crystallographic orbit
- lattice complex
- point configuration
- Wyckoff set
- Chapter 8.3.2 of International Tables of Crystallography, Section A