# Primitive cell

(Difference between revisions)
 Revision as of 14:22, 28 March 2006 (view source) (→Other languages)← Older edit Revision as of 05:00, 5 May 2006 (view source)Newer edit → Line 7: Line 7: == Definition == == Definition == - A primitive cell is a [[unit cell]] built on the basis vectors of a primitive basis of the [[direct lattice]], namely a crystallographic basis of the vector lattice '''L''' such that every lattice vector '''t''' of '''L''' may be obtained as an integral linear combination  of the basis vectors, '''a''', '''b''', '''c'''. + A primitive cell is a [[unit cell]] built on the basis vectors of a [[primitive basis]] of the [[direct lattice]], namely a [[crystallographic basis]] of the vector lattice '''L''' such that every lattice vector '''t''' of '''L''' may be obtained as an integral linear combination  of the basis vectors, '''a''', '''b''', '''c'''. It contains only one lattice point and its volume is equal to the triple scalar product ('''a''', '''b''', '''c'''). It contains only one lattice point and its volume is equal to the triple scalar product ('''a''', '''b''', '''c''').

# Primitive cell

### Other languages

Maille primitive (Fr). Celda primitiva (Sp). Cella primitiva (It)

## Definition

A primitive cell is a unit cell built on the basis vectors of a primitive basis of the direct lattice, namely a crystallographic basis of the vector lattice L such that every lattice vector t of L may be obtained as an integral linear combination of the basis vectors, a, b, c.

It contains only one lattice point and its volume is equal to the triple scalar product (a, b, c).

Non-primitive bases are used conventionally to describe centred lattices. In that case, 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.