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- Brillouin_zone abstract "In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell in reciprocal space. The boundaries of this cell are given by planes related to points on the reciprocal lattice. It is found by the same method as for the Wigner–Seitz cell in the Bravais lattice. The importance of the Brillouin zone stems from the Bloch wave description of waves in a periodic medium, in which it is found that the solutions can be completely characterized by their behavior in a single Brillouin zone.Taking surfaces at the same distance from one element of the lattice and its neighbours, the volume included is the first Brillouin zone (see the derivation of the Wigner-Seitz cell). Another definition is as the set of points in k-space that can be reached from the origin without crossing any Bragg plane. Equivalently, this is the Voronoi cell around the origin of the reciprocal lattice. Thus, the first Brillouin zone is the locus of points in reciprocal space that are closer to the origin of the reciprocal lattice than they are to any other reciprocal lattice points.There are also second, third, etc., Brillouin zones, corresponding to a sequence of disjoint regions (all with the same volume) at increasing distances from the origin, but these are used less frequently. As a result, the first Brillouin zone is often called simply the Brillouin zone. (In general, the n-th Brillouin zone consists of the set of points that can be reached from the origin by crossing exactly n − 1 distinct Bragg planes.)A related concept is that of the irreducible Brillouin zone, which is the first Brillouin zone reduced by all of the symmetries in the point group of the lattice (point group of the crystal, see "Talk"). The concept of a Brillouin zone was developed by Léon Brillouin (1889–1969), a French physicist.".
- Brillouin_zone thumbnail Brillouin_zone.svg?width=300.
- Brillouin_zone wikiPageExternalLink bpt6k31445.
- Brillouin_zone wikiPageExternalLink awrapper.html.
- Brillouin_zone wikiPageExternalLink brillouin_zones.html.
- Brillouin_zone wikiPageExternalLink www.aflowlib.org.
- Brillouin_zone wikiPageExternalLink index.php.
- Brillouin_zone wikiPageExternalLink brillouin.htm.
- Brillouin_zone wikiPageID "562067".
- Brillouin_zone wikiPageRevisionID "606644477".
- Brillouin_zone hasPhotoCollection Brillouin_zone.
- Brillouin_zone subject Category:Crystallography.
- Brillouin_zone comment "In mathematics and solid state physics, the first Brillouin zone is a uniquely defined primitive cell in reciprocal space. The boundaries of this cell are given by planes related to points on the reciprocal lattice. It is found by the same method as for the Wigner–Seitz cell in the Bravais lattice.".
- Brillouin_zone label "Brillouin zone".
- Brillouin_zone label "Brillouin-Zone".
- Brillouin_zone label "Brillouinzone".
- Brillouin_zone label "Strefa Brillouina".
- Brillouin_zone label "Zona de Brillouin".
- Brillouin_zone label "Zona di Brillouin".
- Brillouin_zone label "Zone de Brillouin".
- Brillouin_zone label "Зона Бриллюэна".
- Brillouin_zone label "ブリュアンゾーン".
- Brillouin_zone label "布里渊区".
- Brillouin_zone sameAs Brillouin-Zone.
- Brillouin_zone sameAs Zona_de_Brillouin.
- Brillouin_zone sameAs Zone_de_Brillouin.
- Brillouin_zone sameAs Zona_di_Brillouin.
- Brillouin_zone sameAs ブリュアンゾーン.
- Brillouin_zone sameAs 브릴루앵_영역.
- Brillouin_zone sameAs Brillouinzone.
- Brillouin_zone sameAs Strefa_Brillouina.
- Brillouin_zone sameAs m.02q7l1.
- Brillouin_zone sameAs Q917246.
- Brillouin_zone sameAs Q917246.
- Brillouin_zone wasDerivedFrom Brillouin_zone?oldid=606644477.
- Brillouin_zone depiction Brillouin_zone.svg.
- Brillouin_zone isPrimaryTopicOf Brillouin_zone.
