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Crystallographic basis

From Online Dictionary of Crystallography

Revision as of 11:13, 13 May 2017 by BrianMcMahon (talk | contribs) (Style edits to align with printed edition)

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

Definition

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

See also

  • Direct lattice
  • Chapter 1.3.2.1 of International Tables for Crystallography, Volume A, 6th edition