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Unit cell
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==Three dimensions== [[File:Parallelepiped 2013-11-29.svg|thumb|A [[parallelepiped]] is a general primitive cell for 3-dimensional space.]] For any 3-dimensional lattice, the conventional unit cells are [[parallelepiped]]s, which in special cases may have orthogonal angles, or equal lengths, or both. Seven of the fourteen three-dimensional [[Bravais lattice]]s are represented using conventional primitive cells, as shown below. {| class=wikitable !Conventional primitive cell |[[File:Triclinic.svg|100px]] |[[File:Monoclinic.svg|80px]] |[[File:Orthorhombic.svg|80px]] |[[File:Tetragonal.svg|80px]] |[[File:Rhombohedral.svg|100px]] |[[File:Cubic.svg|100px]] |[[File:Hexagonal latticeFRONT.svg|80px|Hexagonal]] |- ! Shape name |[[Parallelepiped]] |Oblique rectangular [[Prism (geometry)|prism]] |Rectangular [[cuboid]] |Square [[cuboid]] |[[Trigonal trapezohedron]] |[[Cube]] |Right rhombic [[Prism (geometry)|prism]] |- ! Bravais lattice |Primitive [[Triclinic crystal system|Triclinic]] |Primitive [[monoclinic crystal system|Monoclinic]] |Primitive [[orthorhombic crystal system|Orthorhombic]] |Primitive [[Tetragonal crystal system|Tetragonal]] |Primitive [[Rhombohedral lattice system|Rhombohedral]] |Primitive [[Cubic crystal system|Cubic]] |Primitive [[Hexagonal crystal system|Hexagonal]] |} The other seven Bravais lattices (known as the centered lattices) also have primitive cells in the shape of a parallelepiped, but in order to allow easy discrimination on the basis of symmetry, they are represented by conventional cells which contain more than one lattice point. {| class=wikitable ! Primitive cell |[[File:Clinorhombic prism.svg|100px]] |[[File:Rhombic prism.svg|80px]] | | | | | |- ! Shape name |Oblique rhombic [[Prism (geometry)|prism]] |Right rhombic [[Prism (geometry)|prism]] | | | | | |- ! Conventional cell |[[File:Base-centered monoclinic.svg|80px]] |[[File:Orthorhombic-base-centered.svg|80px]] |[[File:Orthorhombic-body-centered.svg|80px]] |[[File:Orthorhombic-face-centered.svg|80px]] |[[File:Tetragonal-body-centered.svg|80px]] |[[File:Cubic-body-centered.svg|80px]] |[[File:Cubic-face-centered.svg|80px]] |- ! Bravais lattice |Base-centered [[Monoclinic crystal system|Monoclinic]] |Base-centered [[Orthorhombic crystal system|Orthorhombic]] |Body-centered [[Orthorhombic crystal system|Orthorhombic]] |Face-centered [[Orthorhombic crystal system|Orthorhombic]] |Body-centered [[Tetragonal crystal system|Tetragonal]] |Body-centered [[Cubic crystal system|Cubic]] |Face-centered [[Cubic crystal system|Cubic]] |}
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