Definition:Face-Centered Cubic Lattice
(Redirected from Definition:Face-Centred Cubic Lattice)
Jump to navigation
Jump to search
Definition
A face-centered cubic lattice is a set of points in Cartesian $3$-space whose coordinates are of the form:
- $\tuple {\dfrac 1 2 a x, \dfrac 1 2 a y, \dfrac 1 2 a z}$
such that:
- $a$ is a positive real constant
- $x$, $y$ and $z$ are all integers
- $x + y + z$ is an even integer.
Also known as
A face-centered cubic lattice can also be presented as face-centred cubic lattice, using the British English centre rather than center.
Also see
- Results about face-centered cubic lattices can be found here.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cubic lattice