Crystal Lattice Structures
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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

Primitive Hexagonal
  In a plane, spheres of equal size are most densely packed (with the least amount of empty space) when each sphere touches six other spheres arranged in the form of a regular hexagon.
When two such hexagonally closest packed planes are stacked directly on top of one another, a primitive hexagonal array results.
The primitive unit cell, outlined in black in the crossed stereo pair above, has cell edges 
a = b = 2r and c = 2r.  Thus, the ratio c:a = 1, and it can be shown that the packing efficiency of this three dimensional lattice is only about 60% (compared to 74% for closest packing), even though the atoms are closest packed in two dimensions.
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Steven F. Watkins, Department of Chemistry, Louisiana State University