Geometric crystal class

From Online Dictionary of Crystallography

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<font color="blue">Classe cristalline géométrique</font> (''Fr''); <font color="red">Geometrische Kristallklasse</font> (''Ge''); <font color="green">Clase cristallina geométrica</font> (''Sp''); <Font color="black"> Classe cristallina geometrica </Font>(''It''). <Font color="purple">幾何的結晶類</Font> (''Ja'')
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<font color="blue">Classe cristalline géométrique</font> (''Fr''). <font color="red">Geometrische Kristallklasse</font> (''Ge''). <font color="black">Classe cristallina geometrica</font> (''It''). <font color="purple">幾何的結晶類</font> (''Ja''). <font color="green">Clase cristalina geométrica</font> (''Sp'').
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== Definition ==
== Definition ==
'''Geometric crystal classes''' (or simply 'crystal classes') classify the symmetry groups of the external shape of macroscopic crystals, namely according to the morphological symmetry. There are 10 two-dimensional geometric crystal classes and 32 three-dimensional geometric crystal classes, in one to one correspondence with the 10 and 32 types of point groups in ''E''<sup>2</sup> and ''E''<sup>3</sup>, respectively.
'''Geometric crystal classes''' (or simply 'crystal classes') classify the symmetry groups of the external shape of macroscopic crystals, namely according to the morphological symmetry. There are 10 two-dimensional geometric crystal classes and 32 three-dimensional geometric crystal classes, in one to one correspondence with the 10 and 32 types of point groups in ''E''<sup>2</sup> and ''E''<sup>3</sup>, respectively.
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== Japanese nomenclature ==
 
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The Japanese term commonly used to indicate a crystal class is 晶族 which however, as pointed out by Matsumoto (1977), is not an appropriate translation in that the character 族 is more suitable to indicate a [[crystal family]]. According to this author, a better translation of crystal class is 結晶類, which is therefore adopted in this dictionary.
 
== See also ==
== See also ==
*[[Arithmetic crystal class]]
*[[Arithmetic crystal class]]
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*Section 8.2.4 of ''International Tables for Crystallography, Volume A''<br>
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*Chapter 1.3.4.2 of ''International Tables for Crystallography, Volume A'', 6th edition
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*Matsumoto, T. (1977). ''J. Miner. Soc. Japan'', '''13''', 247-289.
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[[Category:Fundamental crystallography]]
[[Category:Fundamental crystallography]]

Latest revision as of 14:38, 13 November 2017

Classe cristalline géométrique (Fr). Geometrische Kristallklasse (Ge). Classe cristallina geometrica (It). 幾何的結晶類 (Ja). Clase cristalina geométrica (Sp).

Definition

Geometric crystal classes (or simply 'crystal classes') classify the symmetry groups of the external shape of macroscopic crystals, namely according to the morphological symmetry. There are 10 two-dimensional geometric crystal classes and 32 three-dimensional geometric crystal classes, in one to one correspondence with the 10 and 32 types of point groups in E2 and E3, respectively.

See also