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A Bravais lattice is an infinite arrangement of points (or atoms) in space that has the following property: The lattice looks exactly the same when viewed from any lattice point. 1D Bravais lattice: 2D Bravais lattice: b. Bravais Lattice. 2D Bravais lattice: 3D Bravais lattice: d. c. b. Bravais Lattice. A Bravais lattice has the following property:
Bravais lattices are point lattices that are classified topologically according to the symmetry properties under rotation and reflection, without regard to the absolute length of the unit vectors. A more intuitive definition: At every point in a Bravais lattice the “world” looks the same.
In summary, there are five distinct 2-d Bravais lattices: (1) primitive oblique; (2) primitive rectangular; (3) centered rectangular; (4) primitive tetragonal; and (5) primitive trigonal and hexagonal (same lattice due to inversion).
Description of Bravais types of lattices. In Fig. 3.1.2.1, conventional cells for the 14 three-dimensional Bravais types of lattices are illustrated. In Tables 3.1.2.1 and 3.1.2.2, the two- and three-dimensional Bravais types of lattices are described in detail.
Taking into account possible lattice centerings, there are 14 so called Bravais lattices.
The type of Bravais lattice at the upper end of a line in this sketch is a special case (metric specialization) of the type at its lower end. Solid lines indicate ordinary subgroups in this...
Bravais lattices. In geometry and crystallography, a Bravais lattice is an infinite array of discrete points generated by a set of discrete translation operations described by: R = n1a1 + n2a2 + n3a3. This discrete set of vectors must be closed under vector addition and subtraction.
