Wyckoff position - Revision history

BrianMcMahon: Added German and Spanish translations (U. Mueller)

2017-11-20T14:52:19Z

Added German and Spanish translations (U. Mueller)

BrianMcMahon: Style edits to align with printed edition

2017-05-17T18:24:36Z

Style edits to align with printed edition

MassimoNespolo: /* See also */ ITA 6th edition

2017-04-11T17:02:49Z

‎See also: ITA 6th edition

MassimoNespolo: wrong position of a statement which made the sentence awkward

2014-06-20T15:20:43Z

wrong position of a statement which made the sentence awkward

MassimoNespolo: /* History */

2009-03-17T12:40:35Z

‎History

MassimoNespolo: /* History */

2009-03-17T12:40:10Z

‎History

MassimoNespolo: /* Definition */

2009-02-06T16:19:21Z

‎Definition

MassimoNespolo: /* Definition */

2009-02-06T15:03:50Z

‎Definition

MassimoNespolo at 14:43, 6 April 2007

2007-04-06T14:43:33Z

MassimoNespolo: /* See also */

2007-02-27T15:46:01Z

‎See also

← Older revision		Revision as of 14:52, 20 November 2017
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−	<~~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'').	+	<font color="blue">Position de Wyckoff</font> (''Fr''). <font color="red">Punktlage, Wyckoff-Position</font> (''Ge''). <font color="black">Posizione di Wyckoff</font> (''It''). <font color="purple">ワイコフ位置</font> (''Ja''). <font color="green">Posición de Wyckoff</font> (''Sp'').
		+

	== Definition ==		== Definition ==

@@ Line 1: / Line 1: @@
-<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'')
+<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 ==
-A '''Wyckoff position''' of a [[space group]] G consists of all points ''X'' for which the [[site symmetry|site-symmetry groups]] are [[conjugacy class|conjugate]] subgroups of G.
+A '''Wyckoff position''' of a [[space group]] ''G'' consists of all points ''X'' 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''.
-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 positions 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'').
 There is a total of 72 Wyckoff positions in plane groups and 1731 Wyckoff positions in space groups.
@@ Line 14: / Line 14: @@
 ==Wyckoff positions of point groups==
-By analogy to the Wyckoff positions of [[space group]]s, Wyckoff positions of [[point group]]s have been defined too: here the term "position" indicates the position of face poles (form face forms) or of points (for point forms) in the [[stereographic projection]]. Like in space groups, in point groups too each Wyckoff position is labelled by a Wyckoff letter.
+By analogy to the Wyckoff positions of [[space group]]s, Wyckoff positions of [[point group]]s have been defined too: here the term 'position' indicates the position of face poles (for face forms) or of points (for point forms) in the [[stereographic projection]]. Like in space groups, in point groups, too, each Wyckoff position is labelled by a Wyckoff letter.
 ==History==
-The term ''Wykcoff position'' takes its origin from the first English collection of equivalent positions in space groups, which appeared in ''The analytical expression of the results of the theory of space groups'' by Ralph W.G. Wyckoff, published by Carnegie Institution of Washington (1922; second edition, 1930), and which can be considered an ancestor of the ''International Tables for Crystallography''.
+The term ''Wyckoff position'' takes its origin from the first English collection of equivalent positions in space groups, which appeared in ''The analytical expression of the results of the theory of space groups'' by Ralph W. G. Wyckoff, published by Carnegie Institution of Washington (1922; second edition, 1930), and which can be considered an ancestor of the ''International Tables for Crystallography''.
 == See also ==
-*[[crystallographic orbit]]
+*[[Crystallographic orbit]]
-*[[form]]
+*[[Form]]
-*[[lattice complex]]
+*[[Lattice complex]]
-*[[point configuration]]
+*[[Point configuration]]
-*[[stabilizer]]
+*[[Stabilizer]]
 *[[Wyckoff set]]
-*Sections 1.4.4.2 of the ''International Tables of Crystallography'', Volume A, 6<sup>th</sup> edition
+*Chapter 1.4.4.2 of ''International Tables for Crystallography, Volume A'', 6th edition
 [[Category:Fundamental crystallography]]

@@ Line 26: / Line 26: @@
 *[[stabilizer]]
 *[[Wyckoff set]]
-* Sections 8.3.2 and 10.1.2.2 of the ''International Tables of Crystallography'', Volume A
+*Sections 1.4.4.2 of the ''International Tables of Crystallography'', Volume A, 6<sup>th</sup> edition
 [[Category:Fundamental crystallography]]

@@ Line 3: / Line 3: @@
 == Definition ==
-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.
+A '''Wyckoff position''' of a [[space group]] G consists of all points ''X'' 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''.

@@ Line 17: / Line 17: @@
 ==History==
-The term ''Wykcoff position'' takes its origin from the first English collection of equivalent positions in space groups, which appeared in ''The analytical expression of the results of the theory of space groups'' by Ralph W.G. Wyckoff, published by Carnegie Institution of Washington (1922; second edition, 1930), and which can be considered an ancestor of the ''International Tables of Crystallography''.
+The term ''Wykcoff position'' takes its origin from the first English collection of equivalent positions in space groups, which appeared in ''The analytical expression of the results of the theory of space groups'' by Ralph W.G. Wyckoff, published by Carnegie Institution of Washington (1922; second edition, 1930), and which can be considered an ancestor of the ''International Tables for Crystallography''.
 == See also ==

← Older revision		Revision as of 16:19, 6 February 2009
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	There is a total of 72 Wyckoff positions in plane groups and 1731 Wyckoff positions in space groups.		There is a total of 72 Wyckoff positions in plane groups and 1731 Wyckoff positions in space groups.
		+
		+	The transfer of Wyckoff positions from individual space groups to space-group types is not unique because Wyckoff positions with the same type of [[site symmetry\|site-symmetry group]] may be exchanged in different space groups of the same type. This is no longer true when one makes use of [[Wyckoff set]]s.

	==Wyckoff positions of point groups==		==Wyckoff positions of point groups==

← Older revision		Revision as of 15:03, 6 February 2009
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	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'').
		+
		+	There is a total of 72 Wyckoff positions in plane groups and 1731 Wyckoff positions in space groups.

	==Wyckoff positions of point groups==		==Wyckoff positions of point groups==