CrystalViewer:Background:Crystal Viewer Crystal Systems

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The seven crystal systems group lattices according to the certain symmetries that they have in common. Each system can be specified in terms of particular restrictions that are placed on the primitive vector lengths and angles. The crystal systems are listed in the following table, which indicates the restrictions on the primitive vectors needed to maintain the symmetry of each system.

System
Restrictions
Illustration
Triclinic
Triclinic illustration.gif
Monoclinic
Monoclinic illustration.gif
Orthorhombic
Orthorhombic illustration.gif
Tetragonal
Tetragonal illustration.gif
Trigonal
(Rhombohedral)

Trigonal illlustration.gif
Hexagonal
Hexagonal illustration.gif
Cubic
Cubic illustration.gif