TOPICS
Search

Cubic Lattice


CubicLattice

A cubic lattice is a point lattice with a conventional unit cell in the shape of a cube. There are three types of cubic lattices, simple cubic (SC), body-centered cubic lattice (BCC), and face-centered cubic (FCC). The term is also used more specifically for the simple cubic point lattice whose points have Cartesian coordinates (x,y,z), where x, y, and z are integers.

CubicLatticeBrillouinZones

The illustrations above show the Brillouin zones for these three types of point lattice. Packing equal spheres as densely as possible with their centers on a face-centered cubic lattice gives cubic close packing. Sphere packings on simple cubic and body-centered cubic lattices are not close-packed.


See also

Brillouin Zone, Cube, Cubic Close Packing, Point Lattice

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

Cite this as:

Weisstein, Eric W. "Cubic Lattice." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CubicLattice.html

Subject classifications