Crystal pattern - Revision history

MassimoNespolo: Better after the language list

2018-11-16T15:33:16Z

Better after the language list

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

2017-11-09T17:27:39Z

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

BrianMcMahon: Style edits to align with printed edition

2017-05-13T11:07:39Z

Style edits to align with printed edition

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2008-12-28T16:04:09Z

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MassimoNespolo at 15:11, 8 May 2008

2008-05-08T15:11:32Z

MassimoNespolo at 14:08, 3 March 2008

2008-03-03T14:08:02Z

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Motif cristallin (''Fr''). Motivo cristallino(''It''). 結晶模様 (''Ja'')

A '''crystal pattern''' is the idalized image of a crystal structure obtained by neglecting all the defects of the crystal structure and making it infinitely periodic.

The importance of the concept of crystal pattern becomes immediately evident if one considers that the operations of a space group are symmetry operations of the crystal pattern and not - rigorously speaking - of the crystal structure.

== See also ==
*[[Point space]]
*''International Tables of Crystallography, Volume A1''

[[Category:Fundamental crystallography]]

← Older revision		Revision as of 15:33, 16 November 2018
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−	Synonym: infinite ideal crystal	+	<font color="blue">Motif cristallin</font> (''Fr''). <font color="red">Unendlicher Idealkristall</font> (''Ge''). <font color="black">Motivo cristallino</font>(''It''). <font color="purple">結晶模様</font> (''Ja''). <font color="green">Cristal ideal infinito</font> (''Sp'').
		+
		+	'''Synonym''': ''infinite ideal crystal''

−	<font color="blue">Motif cristallin</font> (''Fr''). <font color="red">Unendlicher Idealkristall</font> (''Ge''). <font color="black">Motivo cristallino</font>(''It''). <font color="purple">結晶模様</font> (''Ja''). <font color="green">Cristal ideal infinito</font> (''Sp'').

	An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:		An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:

← Older revision		Revision as of 17:27, 9 November 2017
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−	<~~Font~~ color="blue">Motif cristallin </~~Font~~>(''Fr''). <~~Font~~ color="black">Motivo cristallino</~~Font~~>(''It''). <~~Font~~ color="purple"> 結晶模様 </~~Font~~>(''Ja'').	+	Synonym: infinite ideal crystal
		+
		+	<font color="blue">Motif cristallin</font> (''Fr''). <font color="red">Unendlicher Idealkristall</font> (''Ge''). <font color="black">Motivo cristallino</font>(''It''). <font color="purple">結晶模様</font> (''Ja''). <font color="green">Cristal ideal infinito</font> (''Sp'').

	An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:		An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:

@@ Line 1: / Line 1: @@
-<Font color="blue">Motif cristallin </Font>(''Fr''). <Font color="black">Motivo cristallino</Font>(''It''). <Font color="purple"> 結晶模様 </Font>(''Ja'')
+<Font color="blue">Motif cristallin </Font>(''Fr''). <Font color="black">Motivo cristallino</Font>(''It''). <Font color="purple"> 結晶模様 </Font>(''Ja'').
-An object in the n-dimensional [[point space]] E<sup>n</sup> is called an n-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:
+An object in the ''n''-dimensional [[point space]] ''E<sup>n</sup>'' is called an ''n''-dimensional '''crystallographic pattern''' or, for short, '''crystal pattern''' if among its symmetry operations:
-# there are ''n'' translations, the translation vectors '''t'''<sub>1</sub>, ... , '''t'''<sub>n</sub> of which are linearly independent;
+# there are ''n'' translations, the translation vectors '''t'''<sub>1</sub>, ... , '''t'''<sub>''n''</sub> of which are linearly independent;
-# all translation vectors, except the zero vector '''0''', have a length of at least d > 0.
+# all translation vectors, except the zero vector '''0''', have a length of at least ''d'' > 0.
-When the crystal pattern consists of atoms, it takes the name of '''[[crystal structure]]'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.
+When the crystal pattern consists of atoms, it takes the name of '''[[crystal structure]]'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete or abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.
 == See also ==
 *[[Point space]]
 *[[Noncrystallographic symmetry]]
-*''International Tables of Crystallography, Volumes A and A1''
+*''International Tables for Crystallography, Volumes A'' and ''A1''
 [[Category:Fundamental crystallography]]

@@ Line 5: / Line 5: @@
 # all translation vectors, except the zero vector '''0''', have a length of at least d > 0.
-When the crystal pattern consists of atoms, it takes the name of '''crystal structure'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.
+When the crystal pattern consists of atoms, it takes the name of '''[[crystal structure]]'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.
 == See also ==