Crystallographic basis

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