Lattice

From Online Dictionary of Crystallography

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m (Tidied translations.)
(See also: Crystal structure added)
 
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*[[Crystallographic basis]]
*[[Crystallographic basis]]
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*[[Crystal structure]]
*Chapters 1.3.2 and 3.1 of ''International Tables for Crystallography, Volume A'', 6th edition
*Chapters 1.3.2 and 3.1 of ''International Tables for Crystallography, Volume A'', 6th edition
[[Category:Fundamental crystallography]]
[[Category:Fundamental crystallography]]

Latest revision as of 15:23, 16 November 2018

مشبك (Ar). Réseau (Fr). Gitter (Ge). Reticolo (It). 格子 (Ja). Решётка (Ru). Red (Sp).


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