Space group - Revision history

MassimoNespolo: synonym

2021-02-19T13:37:03Z

synonym

BrianMcMahon: Tidied translations.

2017-11-20T08:48:05Z

Tidied translations.

MassimoNespolo: A couple of languages added

2017-10-05T11:27:28Z

A couple of languages added

MassimoNespolo: Lang (Ar)

2017-09-14T09:19:45Z

Lang (Ar)

BrianMcMahon: Style edits to align with printed edition

2017-05-17T10:56:17Z

Style edits to align with printed edition

MassimoNespolo: Factor group

2017-04-14T12:22:19Z

Factor group

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

2017-04-11T16:50:12Z

‎See also: ITA 6th edition

MassimoNespolo: internal link

2016-12-22T14:35:49Z

internal link

MassimoNespolo: normal subgroup

2015-03-14T13:57:45Z

normal subgroup

MassimoNespolo: /* See also */ broken link fixed

2015-02-28T13:40:26Z

‎See also: broken link fixed

← Older revision		Revision as of 13:37, 19 February 2021
Line 2:		Line 2:


−	The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.	+	The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group''' (also known as ''wallpaper group''). In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.

	To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' ''T'' of the space group ''G'' of the crystal pattern. ''T'' is an [[Abelian group]] and a [[normal subgroup]] of the space group. The [[factor group]] ''G/T'' of a space group ''G'' and its translation subgroup is isomorphic to the [[point group]] ''P'' of ''G''.		To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' ''T'' of the space group ''G'' of the crystal pattern. ''T'' is an [[Abelian group]] and a [[normal subgroup]] of the space group. The [[factor group]] ''G/T'' of a space group ''G'' and its translation subgroup is isomorphic to the [[point group]] ''P'' of ''G''.

← Older revision		Revision as of 08:48, 20 November 2017
Line 1:		Line 1:
−	<font color="orange">صنف أو مجموعة الفضاء</font> (''Ar''); <font color="blue">Groupe d'espace</font> (''Fr''); <font color="red">Raumgruppe</font> (''Ge''); <font color="black">Gruppo spaziale</font> (''It''); <font color="purple">空間群</font> (''Ja''); <font color="brown">Кристаллографическая группа</font> (''Ru''); <font color="green">Grupo espacial</font> (''Sp'').	+	<font color="orange">صنف أو مجموعة الفضاء</font> (''Ar''). <font color="blue">Groupe d'espace</font> (''Fr''). <font color="red">Raumgruppe</font> (''Ge''). <font color="black">Gruppo spaziale</font> (''It''). <font color="purple">空間群</font> (''Ja''). <font color="brown">Кристаллографическая группа</font> (''Ru''). <font color="green">Grupo espacial</font> (''Sp'').

← Older revision		Revision as of 11:27, 5 October 2017
Line 1:		Line 1:
−	<font color="blue">Groupe d'espace</font> (''Fr''); <font color="red">Raumgruppe</font> (''Ge''); <font color="black">Gruppo spaziale</font> (''It''); <font color="purple">空間群</font> (''Ja''); <font color="~~orange~~">~~صنف أو مجموعة الفضاء~~</font> (''Ar'').	+	<font color="orange">صنف أو مجموعة الفضاء</font> (''Ar''); <font color="blue">Groupe d'espace</font> (''Fr''); <font color="red">Raumgruppe</font> (''Ge''); <font color="black">Gruppo spaziale</font> (''It''); <font color="purple">空間群</font> (''Ja''); <font color="brown">Кристаллографическая группа</font> (''Ru''); <font color="green">Grupo espacial</font> (''Sp'').
		+

	The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.		The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.

← Older revision		Revision as of 09:19, 14 September 2017
Line 1:		Line 1:
−	<font color="blue">Groupe d'espace</font> (''Fr''). <font color="red">Raumgruppe</font> (''Ge''). <font color="black">Gruppo spaziale</font> (''It''). <font color="purple">空間群</font> (''Ja'').	+	<font color="blue">Groupe d'espace</font> (''Fr''); <font color="red">Raumgruppe</font> (''Ge''); <font color="black">Gruppo spaziale</font> (''It''); <font color="purple">空間群</font> (''Ja''); <font color="orange">صنف أو مجموعة الفضاء</font> (''Ar'').

	The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.		The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.

@@ Line 1: / Line 1: @@
-<font color="blue">Groupe d'espace</font> (''Fr''); <font color="red">Raumgruppe</font> (''Ge''); <font color="black">Gruppo spaziale</font> (''It''); <font color="purple">空間群</font> (''Ja'').
+<font color="blue">Groupe d'espace</font> (''Fr''). <font color="red">Raumgruppe</font> (''Ge''). <font color="black">Gruppo spaziale</font> (''It''). <font color="purple">空間群</font> (''Ja'').
 The symmetry group of a three-dimensional [[crystal pattern]] is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.
-To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' T of the space group G of the crystal pattern. T is an [[Abelian group]] and a [[normal subgroup]] of the space group. The [[factor group]] G/T of a space group G and its translation subgroup is isomorphic to the [[point group]] P of G.
+To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' ''T'' of the space group ''G'' of the crystal pattern. ''T'' is an [[Abelian group]] and a [[normal subgroup]] of the space group. The [[factor group]] ''G/T'' of a space group ''G'' and its translation subgroup is isomorphic to the [[point group]] ''P'' of ''G''.
 ==See also==
 *[[Fixed-point-free space groups]]
 *[[Symmorphic space groups]]
-*Section 1.3 of ''International Tables for Crystallography, Volume A'', 6<sup>th</sup> edition
+*Chapter 1.3 of ''International Tables for Crystallography, Volume A'', 6th edition
 [[Category:Fundamental crystallography]]

@@ Line 3: / Line 3: @@
 The symmetry group of a three-dimensional crystal pattern is called its '''space group'''. In ''E''<sup>2</sup>, the symmetry group of a two-dimensional crystal pattern is called its '''plane group'''. In ''E''<sup>1</sup>, the symmetry group of a one-dimensional crystal pattern is called its '''line group'''.
-To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' T of the space group G of the crystal pattern. T is an [[Abelian group]].
+To each crystal pattern belongs an infinite set of translations '''T''', which are symmetry operations of that pattern. The set of all '''T''' forms a group known as the '''translation subgroup''' T of the space group G of the crystal pattern. T is an [[Abelian group]] and a [[normal subgroup]] of the space group.
 ==See also==