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Difference between revisions of "Point symmetry"

From Online Dictionary of Crystallography

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== 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 class|geometric crystal classes]] to which point symmetries of lattices belong are called [[holohedry|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 ==
*Chapter 3.2 of ''International Tables of Crystallography, Volume A'', 6<sup>th</sup> edition
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*Chapter 3.2 of ''International Tables for Crystallography, Volume A'', 6th edition
  
 
[[Category:Fundamental crystallography]]
 
[[Category:Fundamental crystallography]]

Revision as of 13:11, 16 May 2017

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

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