Note that it is not easy to draw a crystal of some classes without adding more symmetry or that can be easily seen in a two dimensional drawing. The table below shows the 32 crystal …

Crystal systems that have space groups assigned to a common lattice system are combined into a crystal family. The seven crystal systems are triclinic, monoclinic, orthorhombic, tetragonal, …

Different combinations of symmetry operations categorize crystals into 32 distinct crystal classes. These classes are grouped into six crystal systems (e.g., cubic, hexagonal, tetragonal), each …

1 Rank 1 tensors are vectors. Examples of properties described by rank 1 tensors are and pyromagnetism. 2 Rank 2 tensors are matrices. Examples of properties described by rank 2 …

By definition, all crystals with an external form of the same symmetry make a crystal class. All the crystals (and hence crystal classes) when referred to the crystallographic axes, can be …

Only 32 combinations are possible; they represent the only combination of symmetry elements that crystals, or arrangements of atoms, can have. This leads to the division of crystals into 32 …

This table summarizes the 32 crystal classes by crystal system and class name, including symmetry elements. Clicking on each system or class heading provides information on each …