THE FACE-CENTERED CUBIC LATTICE

THE BASIC LATTICE

The face-centered cubic lattice is one of the most common types of crystal lattices. In addition to the eight atoms located at the corners of the cube, the face-centered cell contains an additional atom on each face of the cube. The face-centered cubic lattice is adopted by many elements, including Ca, Sr,Al, Ni, Cu, Rh, Pd, Ag, Ir, Pt, Au, and Pb. This illustration shows two unit cells of the face-centered cubic lattice.

View a VRML model of the face-centered cubic lattice

HEXAGONAL LAYERS 

The face-centered cubic lattice can be alternately viewed as a series of stacked hexagonal layers stacked in an ABC fashion. These are represented here by the blue, red, and green cylinders.
OCTAHEDRAL HOLES 

There exists two different types of spaces or holes within a series of stacked hexagonal layers. This illustration shows in green the location of two octahedral holes. The term octahedral is derived from the fact that the resulting space has eight sides. T

Many ionic compounds adopt a structure in which one set of ions forms a face-centered cubic array and the other set of ions reside within the octahedral holes. The rock salt (halite) structure is one example

TETRAHEDRAL HOLES

The second type of space that can exist between stacked hexagonal layers is called a tetrahedral hole. This illustration shows in green the location of four tetrahedral holes in the two unit cells shown.. A tetrahedral hole is formed by three atoms in one hexagonal layer and a single atom in the layer above or beneath.

Many ionic compounds adopt a structure in which one type of ion forms a face-centered cubic array and the other set of ions resides in the octahedral holes. There are 2N tetrahedral holes for every N atoms, so this structure works well for compounds that have 1:2 stoichiometry. 

Additional Links

Crystal Structure Home Page
Introduction to Close-Packed Structures
The Hexagonal Close-Packed Structure
The Face-Centered Cubic Lattice
The Halite Structure
The Fluorite Structure
The Zinc Blende Structure
The Diamond Structure