# A report onCrystal system

Set of point groups .

- Crystal system

## Space group

Symmetry group of an object in space, usually in three dimensions.

Symmetry group of an object in space, usually in three dimensions.

The space groups in three dimensions are made from combinations of the 32 crystallographic point groups with the 14 Bravais lattices, each of the latter belonging to one of 7 lattice systems.

## Cubic crystal system

In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube.

## Crystallography

Experimental science of determining the arrangement of atoms in crystalline solids.

Experimental science of determining the arrangement of atoms in crystalline solids.

Coordinates in angle brackets or chevrons such as <100> denote a family of directions which are related by symmetry operations. In the cubic crystal system for example, would mean or the negative of any of those directions.

## Bravais lattice

Infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by

Infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by

In two-dimensional space there are 5 Bravais lattices, grouped into four lattice systems, shown in the table below.

## Hexagonal crystal family

In crystallography, the hexagonal crystal family is one of the six crystal families, which includes two crystal systems (hexagonal and trigonal) and two lattice systems (hexagonal and rhombohedral).

## Crystallographic point group

Set of symmetry operations, corresponding to one of the point groups in three dimensions, such that each operation would leave the structure of a crystal unchanged i.e. the same kinds of atoms would be placed in similar positions as before the transformation.

Set of symmetry operations, corresponding to one of the point groups in three dimensions, such that each operation would leave the structure of a crystal unchanged i.e. the same kinds of atoms would be placed in similar positions as before the transformation.

For the correspondence of the two systems below, see crystal system.

## Crystal structure

Description of the ordered arrangement of atoms, ions or molecules in a crystalline material.

Description of the ordered arrangement of atoms, ions or molecules in a crystalline material.

They are similar to, but not quite the same as the seven crystal systems.

## Triclinic crystal system

In crystallography, the triclinic (or anorthic) crystal system is one of the 7 crystal systems.