# Question #53f3b

##### 1 Answer

Since most solids have periodic arrays of atoms that form crystal lattices, which must imply a degree of symmetry in the arrangement of these lattices.

An ideal crystal can be considered to be a repetition of identical structures in 3D space. **Lattices** are mathematical points set at specific coordonates in space that can describe the periodicity of such a repetitive structure. Atoms, which are placed in specific lattice points, represent the identical structural units.

All possible lattices can be described by a set of three linearly independent vectors,

Every lattice point can be described by a translation of a vector

where

So, a **Bravais lattice** represents an infinite array of discrete points that have an arrangement and an orientation that appear exactly the same from whichever point the array is viewed.

**14 Bravais lattices** are commonly used to classify lattice structures according to basic symmetry groups.

Each Bravais lattice is obtained by a specific **simple cubic** is obtained when

(Here

Here's a video showing all the 14 Bravais lattice structures: