Crystallographic basis

Base cristallographique (Fr); Kristallographische Basis (Ge); Base cristallografica (It); 結晶基底(Ja).

Definition

A basis of n vectors e₁, e₂, ... , e_n of the vector space Vⁿ is a crystallographic basis of the vector lattice L if every integral linear combination t = u¹e₁ + u²e₂ + ... + uⁿe_n is a lattice vector of L. It may or may not be a primitive basis.

See also

• direct lattice
• Section 1.3.2.1 of International Tables of Crystallography, Volume A, 6^th edition