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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). Primitive 2-d lattices are designated p; the centered 2-d lattice is designated c.
A fundamental concept in the description of crystalline solids is that of a “Bravais lattice”. 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:
7 Ιουν 2024 · A Bravais lattice is a simple concept for understanding the arrangement of atoms, molecules, or ions in a crystal. It represents a repeating pattern that extends in all directions.
The Bravais lattice concept is used to formally define a crystalline arrangement and its (finite) frontiers. A crystal is made up of one or more atoms, called the basis or motif, at each lattice point. The basis may consist of atoms, molecules, or polymer strings of solid matter, and the lattice provides the locations of the basis.
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.
13 Δεκ 2018 · Bravais lattice 2D (crystallography) A Bravais lattice has lattice points with the same environment such that the lattice has at least one of the rotational symmetries predicted by the crystallographic restriction theorem.
16 Δεκ 2022 · We call them the 14 Bravais lattices, named after Auguste Bravais, a French scientist who was the first to show that there were only 14 possibilities. The 14 Bravais lattices correspond to 14 different unit cells that may have any of seven different symmetries, depending on the crystal system.
