Difference between revisions of "Lattice"
From Online Dictionary of Crystallography
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| − | < | + | <font color="orange">مشبك</font> (''Ar''). <font color="blue">Réseau</font> (''Fr''). <font color="red">Gitter</font> (''Ge''). <font color="black">Reticolo</font> (''It''). <font color="purple">格子</font> (''Ja''). <font color="brown">Решётка</font> (''Ru''). <font color="green">Red</font> (''Sp''). |
Revision as of 17:51, 14 November 2017
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
- Crystallographic basis
- Chapters 1.3.2 and 3.1 of International Tables for Crystallography, Volume A, 6th edition