Bravais lattice

== English == === Etymology === Named after Auguste Bravais (1811–1863), a French crystallographer. === Noun === Bravais lattice (plural Bravais lattices) (geometry, crystallography) An infinite array of discrete points generated by a set of discrete translation operations R = n 1 a 1 + n 2 a 2 + n 3 a 3 {\displaystyle \mathbf {R} =n_{1}\mathbf {a} _{1}+n_{2}\mathbf {a} _{2}+n_{3}\mathbf {a} _{3}} , where ni are any integers and ai are known as the primitive vectors which lie in different directions and span the lattice.