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Difference between revisions of "Point symmetry"

From Online Dictionary of Crystallography

 
(Tidied translations and corrected Spanish (U. Mueller))
 
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<Font color="blue"> Symétrie ponctuelle </Font> (''Fr''). <Font color="red"> Punktsymmetrie </Font> (''Ge''). <Font color="green"> Simetria punctual </Font> (''Sp''). <Font color="black"> Simmetria del sito, simmetria puntuale </Font> (''It'').
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<font color="blue">Symétrie ponctuelle</font> (''Fr''). <font color="red">Punktsymmetrie</font> (''Ge''). <font color="black">Simmetria del sito, simmetria puntuale</font> (''It''). <font color="green">Simetría puntual</font> (''Sp'').
  
 
== Definition ==
 
== Definition ==
  
The point symmetry of a position is its [[site symmetry]]. The point symmetry, or point group of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice '''L''' onto itself. Those geometric crystal classes to which point symmetries of lattices belong are called holohedries.
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The point symmetry of a position is its [[site symmetry]]. The point symmetry, or point group, of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice '''L''' onto itself. Those [[geometric crystal class|geometric crystal classes]] to which point symmetries of lattices belong are called [[holohedry|holohedries]].
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== See also ==
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*Chapter 3.2 of ''International Tables for Crystallography, Volume A'', 6th edition
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[[Category:Fundamental crystallography]]

Latest revision as of 09:59, 17 November 2017

Symétrie ponctuelle (Fr). Punktsymmetrie (Ge). Simmetria del sito, simmetria puntuale (It). Simetría puntual (Sp).

Definition

The point symmetry of a position is its site symmetry. The point symmetry, or point group, of a lattice is the group of linear mappings (symmetry operations, isometries) that map the vector lattice L onto itself. Those geometric crystal classes to which point symmetries of lattices belong are called holohedries.

See also

  • Chapter 3.2 of International Tables for Crystallography, Volume A, 6th edition