3.091 Crystal Structures

The 14 Bravais Lattices

The applets below illustrate the 14 Bravais lattices and 7 crystal systems.

Cubic

a = b = c
alpha = beta = gamma = 90°

Simple Body Centered Face Centered
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VRML Simple VRML Body Centered VRML Face Centered

Tetragonal

a = b <> c
alpha = beta = gamma = 90°

Simple Body Centered
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VRML Simple VRML Body Centered

Orthorhombic

a <> b <> c
alpha = beta = gamma = 90°

Simple Body Centered Face Centered End Centered
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VRML Simple VRML Body Centered VRML Face Centered VRML End Centered

Rhombohedral

a = b = c
alpha = beta = gamma <> 90°

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VRML

Hexagonal

a = b <> c
alpha = beta = 90°, gamma = 120°

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VRML

Monoclinic

a <> b <> c
alpha = beta = 90° <> gamma

Simple End Centered
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VRML Simple VRML End Centered

Triclinic

a <> b <> c
alpha <> beta <> gamma <> 90°

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Dr. Craig Counterman <ccount@mit.edu>

Last modified: Wed Oct 9 09:52:51 1996