Primitive cell

  • in geometry, biology, mineralogy, and solid state physics, a primitive cell is a minimum-volume cell (a unit cell) corresponding to a single lattice point of a structure with discrete translational symmetry. the concept is used particularly in describing crystal structure in two and three dimensions, though it makes sense in all dimensions. a lattice can be characterized by the geometry of its primitive cell.

    the primitive cell is a primitive place. a primitive unit is a section of the tiling (usually a parallelogram or a set of neighboring tiles) that generates the whole tiling using only translations, and is as small as possible.

    the primitive cell is a fundamental domain with respect to translational symmetry only. in the case of additional symmetries a fundamental domain is smaller.

  • overview
  • two dimensions
  • three dimensions
  • wigner–seitz cell
  • see also
  • notes
  • references

In geometry, biology, mineralogy, and solid state physics, a primitive cell is a minimum-volume cell (a unit cell) corresponding to a single lattice point of a structure with discrete translational symmetry. The concept is used particularly in describing crystal structure in two and three dimensions, though it makes sense in all dimensions. A lattice can be characterized by the geometry of its primitive cell.

The primitive cell is a primitive place. A primitive unit is a section of the tiling (usually a parallelogram or a set of neighboring tiles) that generates the whole tiling using only translations, and is as small as possible.

The primitive cell is a fundamental domain with respect to translational symmetry only. In the case of additional symmetries a fundamental domain is smaller.