Crystallography

Crystallography is the study of crystalline structures and their properties. It has applications in the studies of mineral structures, molecular structures, protein structures and many other areas of science and mathematics. Analyze crystals and related structures with Wolfram|Alpha.

Crystal Systems & Families

Learn about known crystal systems and crystal families.

Get information about a crystal system:

Get information about a crystal family:

Space Groups

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:

Point Groups

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:

Point Lattices

Learn about and do computations with Bravais lattices and other types of point lattices.

Compute properties of a lattice:

Compare lattices:

もっと表示

RELATED EXAMPLES

  • Algebra
  • Geometry
  • Miller Indices

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

    Specify lattice planes using Miller indices: