Difference between revisions of "Wyckoff position"
From Online Dictionary of Crystallography
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| − | <Font color="blue"> Position de Wyckoff </Font> (''Fr''). <Font color="black">Posizione di Wyckoff</Font> (''It''). | + | <Font color="blue"> Position de Wyckoff </Font> (''Fr''). <Font color="red"> Wyckoff punktlage </Font> (''Ge''). <Font color="black">Posizione di Wyckoff</Font> (''It''). <Font color="purple">ワイコフ位置</Font> (''Ja'') |
== Definition == | == Definition == | ||
| − | A ''Wyckoff position'' consists of all points ''X'' of a space group | + | 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. |
| + | |||
| + | 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''). | ||
== See also == | == See also == | ||
| − | + | *[[crystallographic orbit]] | |
| + | *[[lattice complex]] | ||
| + | *[[point configuration]] | ||
| + | *[[Wyckoff set]] | ||
* Chapter 8.3.2 of ''International Tables of Crystallography, Section A'' | * Chapter 8.3.2 of ''International Tables of Crystallography, Section A'' | ||
[[Category:Fundamental crystallography]] | [[Category:Fundamental crystallography]] | ||
Revision as of 13:07, 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