Chiral space group - Revision history

BrianMcMahon: Tidied translations and added German and Spanish (U. Mueller)

2017-11-09T17:09:07Z

Tidied translations and added German and Spanish (U. Mueller)

MassimoNespolo: 3D

2017-06-08T08:02:03Z

MassimoNespolo: classification scheme

2017-06-08T08:00:06Z

classification scheme

BrianMcMahon: Style edits to align with printed edition

2017-05-19T10:38:28Z

Style edits to align with printed edition

MassimoNespolo: See also

2017-04-10T15:11:27Z

MassimoNespolo: Created page with "Groupe d'espace chiral (''Fr''), Gruppo spaziale chirale (''It''). キラル空間群 (''It''). ..."

2015-03-14T15:40:32Z

Created page with "Groupe d'espace chiral (''Fr''), Gruppo spaziale chirale (''It''). キラル空間群 (''It''). ..."

New page

Groupe d'espace chiral (''Fr''), Gruppo spaziale chirale (''It''). キラル空間群 (''It'').

A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In E3 there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.

*P41-P43
*P4122-P4322
*P41212-P43212
*P31-P32
*P3121-P3221
*P3112-P3212
*P61-P65
*P6122-P6522
*P62-P64
*P6222-P6422
*P4132-P4332

A chiral [[crystal pattern|crystal structure]] can occur not only in the 22 chiral space-group types but in any of the 65 [[Sohncke groups]].

[[Category:Fundamental crystallography]]
[[Category:Crystal chemistry]]

← Older revision		Revision as of 17:09, 9 November 2017
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−	<font color="blue">Groupe d'espace chiral </font> (''Fr''). <font color="black">Gruppo spaziale chirale</font> (''It''). <font color="purple">キラル空間群</font> (''Ja'').	+	Synonym: enantiomorphic space group
		+
		+	<font color="blue">Groupe d'espace chiral</font> (''Fr''). <font color="red">Chirale (oder enantiomorphe) Raumgruppe</font> (''Ge''). <font color="black">Gruppo spaziale chirale</font> (''It''). <font color="purple">キラル空間群</font> (''Ja''). <font color="green">Grupo espacial quiral (o enantiomórfico)</font> (''Sp'').

	A '''chiral space group''' is a space group whose group structure is [[chirality\|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.		A '''chiral space group''' is a space group whose group structure is [[chirality\|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.

@@ Line 3: / Line 3: @@
 A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.
-[[Image:Sohncke-vs-chiral-scheme.png|500px|Classification scheme of space groups in terms of chirality.|right]]
+[[Image:Sohncke-vs-chiral-scheme.png|500px|Classification scheme of space groups in three-dimensional space in terms of chirality.|right]]
 *''P''4<sub>1</sub>-''P''4<sub>3</sub>

← Older revision		Revision as of 08:00, 8 June 2017
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	A '''chiral space group''' is a space group whose group structure is [[chirality\|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.		A '''chiral space group''' is a space group whose group structure is [[chirality\|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.
		+
		+	[[Image:Sohncke-vs-chiral-scheme.png\|500px\|Classification scheme of space groups in terms of chirality.\|right]]

	*''P''4<sub>1</sub>-''P''4<sub>3</sub>		*''P''4<sub>1</sub>-''P''4<sub>3</sub>

@@ Line 1: / Line 1: @@
-<font color="blue">Groupe d'espace chiral </font> (''Fr''), <font color="black">Gruppo spaziale chirale</font> (''It''). <font color="purple">キラル空間群</font> (''It'').
+<font color="blue">Groupe d'espace chiral </font> (''Fr''). <font color="black">Gruppo spaziale chirale</font> (''It''). <font color="purple">キラル空間群</font> (''Ja'').
-A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In E<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.
+A '''chiral space group''' is a space group whose group structure is [[chirality|chiral]]: its Euclidean [[normalizer]] contains only operations of the first kind. Every chiral type of [[space group]] occurs in two enantiomorphic variants. In ''E''<sup>3</sup> there are thus 22 types of chiral space groups, forming 11 enantiomorphic pairs.
-*P4<sub>1</sub>-P4<sub>3</sub>
+*''P''4<sub>1</sub>-''P''4<sub>3</sub>
-*P4<sub>1</sub>22-P4<sub>3</sub>22
+*''P''4<sub>1</sub>22-''P''4<sub>3</sub>22
-*P4<sub>1</sub>2<sub>1</sub>2-P4<sub>3</sub>2<sub>1</sub>2
+*''P''4<sub>1</sub>2<sub>1</sub>2-''P''4<sub>3</sub>2<sub>1</sub>2
-*P3<sub>1</sub>-P3<sub>2</sub>
+*''P''3<sub>1</sub>-''P''3<sub>2</sub>
-*P3<sub>1</sub>21-P3<sub>2</sub>21
+*''P''3<sub>1</sub>21-''P''3<sub>2</sub>21
-*P3<sub>1</sub>12-P3<sub>2</sub>12
+*''P''3<sub>1</sub>12-''P''3<sub>2</sub>12
-*P6<sub>1</sub>-P6<sub>5</sub>
+*''P''6<sub>1</sub>-''P''6<sub>5</sub>
-*P6<sub>1</sub>22-P6<sub>5</sub>22
+*''P''6<sub>1</sub>22-''P''6<sub>5</sub>22
-*P6<sub>2</sub>-P6<sub>4</sub>
+*''P''6<sub>2</sub>-''P''6<sub>4</sub>
-*P6<sub>2</sub>22-P6<sub>4</sub>22
+*''P''6<sub>2</sub>22-''P''6<sub>4</sub>22
-*P4<sub>1</sub>32-P4<sub>3</sub>32
+*''P''4<sub>1</sub>32-''P''4<sub>3</sub>32
 A chiral [[crystal pattern|crystal structure]] can occur not only in the 22 chiral space-group types but in any of the 65 [[Sohncke groups]].
 == See also ==
-*Section 3.5.1.2 of ''International Tables of Crystallography, Volume A'', 6<sup>th</sup> edition
+*Chapter 3.5.1.2 of ''International Tables for Crystallography, Volume A'', 6th edition
 [[Category:Fundamental crystallography]]
 [[Category:Crystal chemistry]]