Crystallography

Learn about known crystal systems and crystal families.

Get information about a crystal system:

Get information about a crystal family:

Find the symmetries of a unit cell. Find crystal systems that contain this unit or find units making up a larger crystal system.

Get data on a crystallographic point group:

Find space groups for a point group:

Find point groups for a crystal family:

Find point groups for a lattice:

Learn about the symmetry groups of a crystal. Find the point sub-group corresponding to a given space group or get the space group numbers of a crystal family or lattice system.

Get data on a crystallographic space group:

Find the point sub-group of a space group:

Find space group numbers for a crystal family:

Compare space groups across crystal families:

Find space group numbers for a lattice system:

Specify crystal planes using the ratios between their x-, y- and z-intercepts.

Specify lattice planes using Miller indices: