Gitterarten

Gitterarten is a term used in crystallography to describe the classification of crystal lattices according to their translational symmetry. It refers especially to the 14 Bravais lattices, which represent all distinct three-dimensional lattices that preserve a lattice under translation. In this framework, the lattice is the periodic array of lattice points, while a motif or basis attached to each lattice point determines the actual arrangement of atoms or molecules.

Crystal structures are organized into seven crystal systems: cubic, tetragonal, orthorhombic, hexagonal, trigonal (rhombohedral), monoclinic, and triclinic. Each system may contain several lattice types. For example, the cubic system has primitive (P), body-centered (I), and face-centered (F) lattices; the orthorhombic system has P, C, I, and F lattices; tetragonal has P and I; hexagonal has P; and monoclinic has P and C. The rhombohedral (trigonal) system is represented by the R lattice, and triclinic and monoclinic systems complete the set with their respective options. Collectively, these yield the 14 Bravais lattices.

Understanding Gitterarten helps distinguish between lattice geometry and the atomic arrangement within a cell. Two crystal structures can share the same lattice type but differ in their basis, leading to different properties, whereas different lattice types can produce markedly different diffraction patterns and symmetry characteristics. This classification underpins much of solid-state chemistry, mineralogy, and materials science, where lattice symmetry informs phase relations, electronic structure, and mechanical behavior.