Fixed-point-free space group - Revision history

MassimoNespolo: Fr, It, Ja

2017-11-13T14:04:21Z

Fr, It, Ja

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

2017-11-13T13:33:26Z

Added German and Spanish translations (U. Mueller)

BrianMcMahon: moved Fixed-point-free space groups to Fixed-point-free space group: Adopting policy of singular name for pages

2017-11-09T15:48:15Z

moved Fixed-point-free space groups to Fixed-point-free space group: Adopting policy of singular name for pages

BrianMcMahon at 11:03, 15 May 2017

2017-05-15T11:03:39Z

BrianMcMahon: Style edits to align with printed edition

2017-05-15T11:02:59Z

Style edits to align with printed edition

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

2017-04-10T15:03:08Z

‎See also: 6th edition of ITA

MassimoNespolo: typo

2016-12-13T17:22:54Z

typo

MassimoNespolo: homonymes

2014-08-24T19:55:19Z

homonymes

MassimoNespolo: ﬁxed-point-free space groups moved to Fixed-point-free space groups

2009-03-10T13:55:10Z

ﬁxed-point-free space groups moved to Fixed-point-free space groups

MassimoNespolo at 15:19, 6 February 2009

2009-02-06T15:19:58Z

New page

[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups'''.

==Fixed-point-free space groups in E2==

Only two ﬁxed-point-free space groups exist in E2: ''p''1 and ''pg''.

==Fixed-point-free space groups in E3==

Thirteen ﬁxed-point-free space groups exist in E3: ''P''1, ''P''21, ''Pc'', ''Cc'', ''P''212121, ''Pca''21, ''Pna''21, ''P''41, ''P''43, ''P''31, ''P''32, ''P''61, ''P''65.

== See also ==
*[[crystallographic orbit]]
*[[point configuration]]
*[[Wyckoff position]]
* Section 8.3.2 of the ''International Tables of Crystallography'', Volume A

[[Category:Fundamental crystallography]]

← Older revision		Revision as of 14:04, 13 November 2017
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−	<font color="red">Fixpunktfreie Raumgruppe, Bieberbachgruppe</font> (''Ge''). <font color="green">Grupo espacial sin puntos fijos</font> (''Sp'').	+	<font color="blue">Groupes d'espace sans points fixes, groupes d'espace sans torsion, groupes de Bieberbach</font> (''Fr''). <font color="red">Fixpunktfreie Raumgruppe, Bieberbachgruppe</font> (''Ge''). <font color="black">Gruppi spaziali senza punti fissi, gruppi spaziali senza torsione, gruppi di Bieberbach</font> (''It''). <font color="purple">不動点を持たない空間群、捩れのない空間群、ビーベルバッハ群</font> (''Ja''). <font color="green">Grupo espacial sin puntos fijos</font> (''Sp'').
		+

	[[Space group]]s with no special [[Wyckoff position]]s (''i.e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.		[[Space group]]s with no special [[Wyckoff position]]s (''i.e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.

← Older revision		Revision as of 13:33, 13 November 2017
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		+	<font color="red">Fixpunktfreie Raumgruppe, Bieberbachgruppe</font> (''Ge''). <font color="green">Grupo espacial sin puntos fijos</font> (''Sp'').
		+
	[[Space group]]s with no special [[Wyckoff position]]s (''i.e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.		[[Space group]]s with no special [[Wyckoff position]]s (''i.e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.

@@ Line 13: / Line 13: @@
 *[[Point configuration]]
 *[[Wyckoff position]]
-* Chapter 1.4.4.2 of  ''International Tables for Crystallography'', Volume A, 6th edition
+* Chapter 1.4.4.2 of  ''International Tables for Crystallography'', ''Volume A'', 6th edition
 [[Category:Fundamental crystallography]]

@@ Line 1: / Line 1: @@
-[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.
+[[Space group]]s with no special [[Wyckoff position]]s (''i.e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.
-==Fixed-point-free space groups in E<sup>2</sup>==
+==Fixed-point-free space groups in ''E''<sup>2</sup>==
-Only two ﬁxed-point-free space groups exist in E<sup>2</sup>: ''p''1 and ''pg''.
+Only two ﬁxed-point-free space groups exist in ''E''<sup>2</sup>: ''p''1 and ''pg''.
-==Fixed-point-free space groups in E<sup>3</sup>==
+==Fixed-point-free space groups in ''E''<sup>3</sup>==
-Thirteen ﬁxed-point-free space groups exist in E<sup>3</sup>: ''P''1, ''P''2<sub>1</sub>, ''Pc'', ''Cc'', ''P''2<sub>1</sub>2<sub>1</sub>2<sub>1</sub>, ''Pca''2<sub>1</sub>, ''Pna''2<sub>1</sub>, ''P''4<sub>1</sub>, ''P''4<sub>3</sub>, ''P''3<sub>1</sub>, ''P''3<sub>2</sub>, ''P''6<sub>1</sub>, ''P''6<sub>5</sub>.
+Thirteen ﬁxed-point-free space groups exist in ''E''<sup>3</sup>: ''P''1, ''P''2<sub>1</sub>, ''Pc'', ''Cc'', ''P''2<sub>1</sub>2<sub>1</sub>2<sub>1</sub>, ''Pca''2<sub>1</sub>, ''Pna''2<sub>1</sub>, ''P''4<sub>1</sub>, ''P''4<sub>3</sub>, ''P''3<sub>1</sub>, ''P''3<sub>2</sub>, ''P''6<sub>1</sub>, ''P''6<sub>5</sub>.
 == See also ==
-*[[crystallographic orbit]]
+*[[Crystallographic orbit]]
-*[[point configuration]]
+*[[Point configuration]]
 *[[Wyckoff position]]
-* Section 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]]

← Older revision		Revision as of 17:22, 13 December 2016
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−	[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups ~~group~~ every element other than the identity has infinite order.	+	[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups every element other than the identity has infinite order.

	==Fixed-point-free space groups in E<sup>2</sup>==		==Fixed-point-free space groups in E<sup>2</sup>==

← Older revision	Revision as of 15:48, 9 November 2017
(No difference)

← Older revision		Revision as of 19:55, 24 August 2014
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−	[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups'''.	+	[[Space group]]s with no special [[Wyckoff position]]s (''i''.''e''. with no special [[crystallographic orbit]]s) are called '''ﬁxed-point-free space groups''' or '''torsion-free space groups''' or '''Bieberbach groups'''. In ﬁxed-point-free space groups group every element other than the identity has infinite order.

	==Fixed-point-free space groups in E<sup>2</sup>==		==Fixed-point-free space groups in E<sup>2</sup>==

← Older revision	Revision as of 13:55, 10 March 2009
(No difference)