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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]].
  
 
== See also ==
 
== See also ==
 
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*Chapter 3.2 of ''International Tables for Crystallography, Volume A'', 6th edition
Chapter 8.2 of ''International Tables of Crystallography, Volume A''<br>
 
  
 
[[Category:Fundamental crystallography]]
 
[[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