# softmatter:Face Centered Cubic (FCC)

FCC unit cell, grey particles are face particles, red particles are corner particles

Face Centered Cubic is a type of close packed crystal lattice.

Space Group: $Fm\bar{3}m$

## Unit Cell

Three-dimensional, rotatable unit cell of the FCC lattice [1].

## Nearest Neighbor Distances

Each atom in a FCC lattice has an equivalent nearest neighbor environment. In the simplest case of hard spheres of diameter σ arranged in a FCC lattice, each sphere has:

• 12 nearest neighbors at a distance of σ
• 6 second nearest neighbors at a distance of $\sqrt 2 \sigma$
• ? third nearest neighbors at a distance of $\sqrt 3 \sigma$
• 12 fourth nearest neighbors at a distance of