Difference between revisions of "Unit cell"
From Online Dictionary of Crystallography
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= Unit cell = | = Unit cell = | ||
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=== Other languages === | === Other languages === | ||
| − | Maille élémentaire (''Fr''). Einheitszelle (''Ge''). Celda unidad (''Sp''). элементарная ячейка (''Ru''). | + | <Font color="blue>Maille élémentaire </Font>(''Fr''). <Font color="red"> Einheitszelle </Font>(''Ge''). <Font color="green">Celda unidad </Font>(''Sp''). <FONT color="purple">элементарная ячейка </Font>(''Ru''). |
| − | + | = Definition = | |
The '''unit cell''' is the parallelepiped built on the vectors, '''a''', '''b''', '''c''', of a crystallographic basis of the [[direct lattice]]. Its volume is given by the triple scalar product, ''V'' = ('''a''', '''b''', '''c'''). | The '''unit cell''' is the parallelepiped built on the vectors, '''a''', '''b''', '''c''', of a crystallographic basis of the [[direct lattice]]. Its volume is given by the triple scalar product, ''V'' = ('''a''', '''b''', '''c'''). | ||
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[[direct lattice]] | [[direct lattice]] | ||
Revision as of 08:20, 27 February 2006
Contents
[hide]Unit cell
Other languages
Maille élémentaire (Fr). Einheitszelle (Ge). Celda unidad (Sp). элементарная ячейка (Ru).
Definition
The unit cell is the parallelepiped built on the vectors, a, b, c, of a crystallographic basis of the direct lattice. Its volume is given by the triple scalar product, V = (a, b, c).
If the basis is primitive, the unit cell is called the primitive cell. It contains only one lattice point. If the basis is non-primitive, the unit cell is a multiple cell and it contains more than one lattice point. The multiplicity of the cell is given by the ratio of its volume to the volume of a primitive cell.
See also
Section 8.1 of International Tables of Crystallography, Volume A