Asymmetric unit - Revision history

BrianMcMahon: Tidied translations.

2017-11-08T18:06:25Z

Tidied translations.

BrianMcMahon: Style edits to align with printed edition

2017-05-12T12:26:41Z

Style edits to align with printed edition

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

2017-04-10T14:48:38Z

‎See also: 6th edition of ITA

MassimoNespolo: languages

2016-04-14T11:37:56Z

languages

GervaisChapuis: /* See also */

2011-08-27T14:35:59Z

‎See also

GervaisChapuis at 13:32, 27 August 2011

2011-08-27T13:32:53Z

MassimoNespolo at 14:00, 10 February 2008

2008-02-10T14:00:54Z

MassimoNespolo at 15:56, 12 April 2007

2007-04-12T15:56:21Z

New page

Unité asymétrique (''Fr''). Unità asimmetrica (''It''). 非対称単位 (''Ja'').

An asymmetric unit of a space group is a simply connected smallest closed part of space from which, by application of all symmetry operations of the space group, the whole space is filled. This implies that:
*mirror planes must form boundary planes of the asymetric unit;
*rotation axes must form boundary edges of the asymetric unit;
*inversion centres must either form vertices of the asymetric unit or be located at the midpoints of boundary planes or boundary edges.
These restrictions do not hold for screw axes and glide planes.

In mathematics, an asymmetric unit is called ''fundamental region'' or ''fundamental domain''.

==See also==
*[[Unit cell]]
*Section 2.2.8 in the ''International Tables for Crystallography'', Volume A

[[Category:Fundamental crystallography]]

← Older revision		Revision as of 18:06, 8 November 2017
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−	<~~Font~~ color="blue">Unité asymétrique</font> (''Fr''); <~~Font~~ color="red">Asymmetrische Einheit</font> (''Ge''); <~~Font~~ color="~~green~~">~~Unidad asimétrica~~</font> (''Sp''); <~~Font~~ color="~~black~~">~~Unità asimmetrica~~</font> (''It''); <~~Font~~ color="~~Purple~~">~~非対称単位~~</font> (''Ja'').	+	<font color="blue">Unité asymétrique</font> (''Fr''). <font color="red">Asymmetrische Einheit</font> (''Ge''). <font color="black">Unità asimmetrica</font> (''It''). <font color="Purple">非対称単位</font> (''Ja''). <font color="green">Unidad asimétrica</font> (''Sp'').

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 An asymmetric unit of a space group is a simply connected smallest closed part of space from which, by application of all symmetry operations of the space group, the whole space is filled. This implies that:
-*mirror planes must form boundary planes of the asymetric unit;
+*mirror planes must form boundary planes of the asymmetric unit;
-*rotation axes must form boundary edges of the asymetric unit;
+*rotation axes must form boundary edges of the asymmetric unit;
-*inversion centres must either form vertices of the asymetric unit or be located at the midpoints of boundary planes or boundary edges.
+*inversion centres must either form vertices of the asymmetric unit or be located at the midpoints of boundary planes or boundary edges.
 These restrictions do not hold for screw axes and glide planes.
-The term "aysmmetric unit" does not mean that this region has an asymmetric shape. In mathematics it is called ''fundamental region'' or ''fundamental domain''.
+The term 'asymmetric unit' does not mean that this region has an asymmetric shape. In mathematics it is called ''fundamental region'' or ''fundamental domain''.
 ==See also==
 *[[Unit cell]]
-*Illustrations of the asymmetric units of the 230 space groups can be obtained on this [http://cci.lbl.gov/asu_gallery/ link]
+*Illustrations of the asymmetric units of the 230 space groups can be obtained from [http://cci.lbl.gov/asu_gallery/ http://cci.lbl.gov/asu_gallery/]
-*Section 2.1.3.8 in the ''International Tables for Crystallography'', Volume A, 6<sup>th</sup> edition
+*Chapter 2.1.3.8 of ''International Tables for Crystallography, Volume A'', 6th edition
 [[Category:Fundamental crystallography]]

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−	<Font color="blue">Unité asymétrique</font> (''Fr''). <Font color="black">Unità asimmetrica</font> (''It''). <Font color="Purple">非対称単位</font> (''Ja'').	+	<Font color="blue">Unité asymétrique</font> (''Fr''); <Font color="red">Asymmetrische Einheit</font> (''Ge''); <Font color="green">Unidad asimétrica</font> (''Sp''); <Font color="black">Unità asimmetrica</font> (''It''); <Font color="Purple">非対称単位</font> (''Ja'').
		+

	An asymmetric unit of a space group is a simply connected smallest closed part of space from which, by application of all symmetry operations of the space group, the whole space is filled. This implies that:		An asymmetric unit of a space group is a simply connected smallest closed part of space from which, by application of all symmetry operations of the space group, the whole space is filled. This implies that: