Crystal Lattice Structures
Previous - Next
Introduction

Simple Cubic

Body Centered Cubic

Face Centered Cubic

Primitive FCC

Simple Hexagonal

Hexagonal Closest Packing

HCP Coordination

Cubic Closest Packing

CCP Coordination

Rhombohedral

2- & 3-Layer repeats

4-layer repeats

Tetrahedral Holes

Octahedral Holes

CsCl

NaCl

Halite

Fluorite

Zinc Blende

Exercises

Two and Three Layer Repeat
  There is only one way to produce a repeat pattern (crystal lattice) with layers of hexagonally closest packed planes in just two orientations: (AB). If the interlayer distance is such that c:a = CPIS, then (AB) = HCP. Otherwise, the unit cell is still hexagonal with Z = 2, but the lattice is quasi-closest packed.

Likewise, there is only one way to produce a repeat pattern in three layers: (ABC). Again, if 
c:a = 1.5.CPIS, then (ABC) = CCP = FCC. Otherwise, the lattice is quasi-closest packed and can be described with either the hexagonal unit cell (Z = 3) or the rhombohedral unit cell (Z = 1). 


[Note: these are not stereo pairs]

It is important to understand that apparently different permutations of the letter codes for hexagonal closest packed layers do not necessarily represent unique lattice patterns.  For example, the six permutations (AB), (AC), (BA), (BC), (CA), and (CB) all represent the same HCP lattice in different orientations and choices of unit cell axes.   Likewise, the six permutations of (ABC) all represent the same CCP lattice.

Previous - Next

Steven F. Watkins, Department of Chemistry, Louisiana State University