Difference between revisions of "Lattice system"
From Online Dictionary of Crystallography
(Change the names of two-dimensional lattice systems to be consistent with IT E) |
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== Note == | == Note == | ||
| − | In | + | In earlier editions of ''International Tables for Crystallography, Volume A & Volume E'', the lattice systems were called ''Bravais-flock systems'' or ''Bravais systems''. |
== See also == | == See also == | ||
Latest revision as of 14:31, 10 July 2026
Système réticulaire (Fr). Gittersystem (Ge). Sistema reticolare (It). 格子系 (Ja).
Contents
Definition
A lattice system of space groups contains complete Bravais classes. All those Bravais classes which intersect exactly the same set of geometric crystal classes belong to the same lattice system.
Alternative definition
A lattice system of space groups contains complete Bravais classes. All those Bravais classes belong to the same lattice system for which the Bravais arithmetic classes belong to the same (holohedral) geometric crystal class.
Lattice systems in two and three dimensions
In two-dimensional space there exist four lattice systems:
- oblique
- rectangular
- square
- hexagonal
In three-dimensional space there exist seven lattice systems:
- triclinic
- monoclinic
- orthorhombic
- tetragonal
- rhombohedral
- hexagonal
- cubic
Note that the adjective trigonal refers to a crystal system, not to a lattice system. Rhombohedral crystals belong to the trigonal crystal system, but trigonal crystals may belong to the rhombohedral or to the hexagonal lattice system.
Note
In earlier editions of International Tables for Crystallography, Volume A & Volume E, the lattice systems were called Bravais-flock systems or Bravais systems.
See also
- Bravais class
- Chapter 1.3.4.4.2 of International Tables for Crystallography, Volume A, 6th edition