Bravais space group

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• Space group — 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 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia

• space group — Crystall. a set of symmetry elements that brings a periodic arrangement of points on a Bravais space lattice to its original position. * * * ▪ crystallography       in crystallography, any of the ways in which the orientation of a crystal can be… …   Universalium

• Bravais lattice — In geometry and crystallography, a Bravais lattice, named after Auguste Bravais, [cite journal | last = Aroyo | first = Mois I. | coauthors = Ulrich Müller and Hans Wondratschek | title = Historical Introduction | journal = International Tables… …   Wikipedia

• Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

• Point group — The Bauhinia blakeana flower on the Hong Kong flag has C5 symmetry; the star on each petal has D5 symmetry. In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed. Point groups can exist in a …   Wikipedia

• List of the 230 crystallographic 3D space groups — Triclinic system = Note. An e plane is a double glide plane, one having glides in two different directions. They are found in five space groups, all in the orthorhombic system and with a centered lattice. The use of the symbol e became official… …   Wikipedia

• Crystal system — Diamond crystal structure consists of face centered cubic lattice. In crystallography, the terms crystal system, crystal family, and lattice system each refer to one of several classes of space groups, lattices, point groups, or crystals.… …   Wikipedia

• Crystal structure — In mineralogy and crystallography, crystal structure is a unique arrangement of atoms or molecules in a crystalline liquid or solid. A crystal structure is composed of a pattern, a set of atoms arranged in a particular way, and a lattice… …   Wikipedia

• X-ray crystallography — can locate every atom in a zeolite, an aluminosilicate with many important applications, such as water purification. X ray crystallography is a method of determining the arrangement of atoms within a crystal, in which a beam of X rays strikes a… …   Wikipedia

• Cubic crystal system — A rock containing three crystals of pyrite (FeS2). The crystal structure of pyrite is simple cubic, and this is reflected in the cubic symmetry of its natural crystal facets …   Wikipedia

• Monoclinic crystal system — An example of the monoclinic crystals, orthoclase In crystallography, the monoclinic crystal system is one of the 7 lattice point groups. A crystal system is described by three vectors. In the monoclinic system, the crystal is described by… …   Wikipedia