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Erschienen in:
2012 | OriginalPaper | Buchkapitel
7. The 14 Bravais Lattices
verfasst von : Dr. Walter Borchardt-Ott
Erschienen in: Crystallography
Verlag: Springer Berlin Heidelberg
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Abstract
The general space lattice, with no restrictions on the shape of the unit cell (Fig. 3.4 with a
0 ≠ b
0 ≠ c
0, α0 ≠ β0 ≠ γ0), may be used to describe all crystals. In most cases, however, the lattices which occur are special in that they have special features, such as unit cell dimensions (lattice parameters) which are equal in two or three directions or angles between cell edges with particular values, such as 60°, 90°, 120° or 54.73°, such as the cubic unit cell in Fig. 3.1b (a
0 = b
0 = c
0, α0 = β0 = γ0 = 90°).
The general lattice has no point symmetry elements except inversion centers. The presence of rotation axes and mirror planes will restrict the cell parameters in some way, and give special lattices. These special lattices give rise to simplifications in the crystal morphology and in physical properties.
indicates a mirror plane parallel to the plane of the page at heights of 0 and