From Online Dictionary of Crystallography

Revision as of 16:00, 10 April 2017 by MassimoNespolo (talk | contribs) (See also: 6th edition of ITA)

Réseau(Fr); Gitter (Ge); Reticolo(It); 格子 (Ja).

A lattice in the vector space Vn is the set of all integral linear combinations t = u1a1 + u2a2 + ... + ukak of a system (a1, a2, ... , ak) of linearly independent vectors in Vn.

If k = n, i.e. if the linearly independent system is a basis of Vn, the lattice is often called a full lattice. In crystallography, lattices are almost always full lattices, therefore the attribute "full" is usually suppressed.

See also

  • crystallographic basis
  • Sections 1.3.2 and 3.1 of International Tables for Crystallography, Volume A, 6th edition