Difference between revisions of "Spherical system"
From Online Dictionary of Crystallography
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| − | <Font color="blue"> Système sphérique </Font> (''Fr'') <Font color="black"> Sistema sferico </Font> (''It''). | + | <Font color="blue"> Système sphérique </Font> (''Fr''). <Font color="black">Sistema sferico </Font> (''It''). |
== Definition == | == Definition == | ||
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<table border cellspacing=0 cellpadding=5 align=center> | <table border cellspacing=0 cellpadding=5 align=center> | ||
<tr> | <tr> | ||
| − | <th>Hermann-Mauguin symbol</th> <th> Short Hermann-Mauguin symbol </th> <th> | + | <th>Hermann-Mauguin symbol</th> <th>Short Hermann-Mauguin symbol </th> <th>Schönflies symbol </th> <th>Order of the group</th><th>General form</th> |
</tr> | </tr> | ||
<tr> | <tr> | ||
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== History == | == History == | ||
| − | The groups containing isotropy axes were introduced by P. Curie (1859-1906) in order to describe the symmetry of physical systems | + | The groups containing isotropy axes were introduced by P. Curie (1859-1906) in order to describe the symmetry of physical systems [Curie, P. (1884). ''Bull. Soc. Fr. Minéral.'', '''7''', 89-110. ''Sur les questions d'ordre: répétitions''; Curie, P. (1894). ''J. Phys. (Paris)'', '''3''', 393-415. ''Sur la symétrie dans les phénomènes physiques, symétrie d’un champ électrique et d’un champ magnétique'']. |
== See also == | == See also == | ||
*[[Curie laws]] | *[[Curie laws]] | ||
| − | *[[ | + | *[[Cylindrical system]] |
| − | * | + | *Chapter 3.2.1.4 of ''International Tables for Crystallography, Volume A'', 6th edition |
| − | * | + | *Chapter 1.1.4 of ''International Tables for Crystallography, Volume D'' |
| − | [[Category:Fundamental crystallography]] | + | [[Category:Fundamental crystallography]] |
| − | [[Category:Physical properties of crystals]] | + | [[Category:Physical properties of crystals]] |
Revision as of 11:00, 17 May 2017
Système sphérique (Fr). Sistema sferico (It).
Definition
The spherical system contains non-crystallographic point groups with more than one axis of revolution. These groups therefore contain an infinity of axes of revolution (or isotropy axis). There are two groups in the spherical system:
| Hermann-Mauguin symbol | Short Hermann-Mauguin symbol | Schönflies symbol | Order of the group | General form |
|---|---|---|---|---|
| [math] \infty A_\infty[/math] | [math]2\infty[/math] | K | [math] \infty[/math] | sphere filled with an optically active liquid |
| [math] \infty {A_\infty \over M}C[/math] | [math] m {\bar \infty}[/math], [math]{2\over m}{\bar \infty} [/math] | Kh | [math] \infty[/math] | stationary sphere |
History
The groups containing isotropy axes were introduced by P. Curie (1859-1906) in order to describe the symmetry of physical systems [Curie, P. (1884). Bull. Soc. Fr. Minéral., 7, 89-110. Sur les questions d'ordre: répétitions; Curie, P. (1894). J. Phys. (Paris), 3, 393-415. Sur la symétrie dans les phénomènes physiques, symétrie d’un champ électrique et d’un champ magnétique].
See also
- Curie laws
- Cylindrical system
- Chapter 3.2.1.4 of International Tables for Crystallography, Volume A, 6th edition
- Chapter 1.1.4 of International Tables for Crystallography, Volume D