Chapter 9.1 Bases, lattices, Bravais lattices and other classifications
First Online Edition (2006)
Part 9. Crystal lattices
Published Online: 1 JAN 2006
© International Union of Crystallography 2006
International Tables for Crystallography
How to Cite
Burzlaff, H. and Zimmermann, H. 2006. Bases, lattices, Bravais lattices and other classifications. International Tables for Crystallography. A:9:9.1:742–749.
- Published Online: 1 JAN 2006
In this chapter, the symmetry and some topological aspects of lattices are considered. Different classifications of lattices into five Voronoi types, 24 Symmetrische Sorten and 14 Bravais lattices are described. Conventional lattice bases and their cells are defined and illustrated. Extensive tabulations for the two‐ and three‐dimensional Bravais lattices are provided. Further classifications use reduction theory; details of the Delaunay reduction are given.
- Symmetrische Sorten;
- Delaunay reduction;
- Bravais lattices;
- topological properties of lattices;
- Voronoi types