In mathematics and geometry, a **space group** is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains.

In three dimensions, there are 219 distinct types, or counted as 230 if chiral copies are considered distinct. Space groups are also studied in dimensions other than 3 where they are sometimes called **Bieberbach groups**, and are discrete cocompact groups of isometries of an oriented Euclidean space.

In crystallography, they are also called the **crystallographic** or **Fedorov groups**, and represent a description of the symmetry of the crystal. A definitive source regarding 3-dimensional space groups is the *International Tables for Crystallography* (Hahn (2002)).

Read more about Space Group: History, Elements of A Space Group, Notation For Space Groups, Classification Systems For Space Groups, Table of Space Groups in 3 Dimensions

### Other articles related to "space group, group, groups, space groups, space, spaces":

... stable α form which has a hexagonal symmetry,

**space group**P63/mmc, lattice parameters of 341 pm and 1107 pm ... to the beta modification, which has a face-centered cubic (fcc) symmetry and

**space group**Fm3m ... transforms into another phase with an fcc lattice (but slightly different from β-berkelium),

**space group**Fm3m and the lattice constant of 500 pm this fcc structure is equivalent to the closest packing ...

**Space Group**

... The Pearson symbol does not uniquely identify the

**space group**of a crystal structure, for example both the NaCl structure, (

**space group**Fm3m) and diamond (

**space group**Fd3m ...

**Space Group**s in 3 Dimensions

... Crystal system Point

**group**Space

**groups**(international short symbol) Intl Schönflies 1 Triclinic (2) 1 C1 Chiral P1 1 ... Ci P1 3–5 Monoclinic (13) 2 C2 Chiral P2 ... They are found in seven orthorombic, five tetragonal and five cubic

**space groups**, all with centered lattice ... trigonal, then the lattice system is hexagonal unless the

**space group**is one of the seven in the rhombohedral lattice system consisting of the 7 trigonal

**space groups**in the table above ...

... giants had been rivals since the 1950s when both governments launched parallel nuclear and

**space**programs, however, several agreements were signed since then such as the creation of the Brazilian-Argentine ... National

**spaces**agencies CONAE and the AEB had also began working together since the 1990s ... their bilateral cooperation in the areas for which working

**groups**have been created nuclear power, renewable energies, defence technologies, technological ...

### Famous quotes containing the words group and/or space:

“There is nothing in the world that I loathe more than *group* activity, that communal bath where the hairy and slippery mix in a multiplication of mediocrity.”

—Vladimir Nabokov (1899–1977)

“In the tale proper—where there is no *space* for development of character or for great profusion and variety of incident—mere construction is, of course, far more imperatively demanded than in the novel.”

—Edgar Allan Poe (1809–1849)