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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.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 (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.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). 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 wikiPageLength "7127".
- Brillouin_zone wikiPageOutDegree "54".
- Brillouin_zone wikiPageRevisionID "687577592".
- Brillouin_zone wikiPageWikiLink Bloch_wave.
- Brillouin_zone wikiPageWikiLink Bragg_plane.
- Brillouin_zone wikiPageWikiLink Bravais_lattice.
- Brillouin_zone wikiPageWikiLink Category:Crystallography.
- Brillouin_zone wikiPageWikiLink Computational_Materials_Science.
- Brillouin_zone wikiPageWikiLink Crystal_system.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Monoclinic_Lattice_type_1_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Monoclinic_Lattice_type_3_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Monoclinic_Lattice_type_4_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Monoclinic_Lattice_type_5_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Body-Centered_Cubic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Body-Centered_Tetragonal_Lattice_type_1_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Body-Centered_Tetragonal_Lattice_type_2_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Brillouin_zone_in_hexagonal_lattice.png.
- Brillouin_zone wikiPageWikiLink File:Face-Centered_Cubic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Monoclinic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Rhombohedral_Lattice_type_1_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Rhombohedral_Lattice_type_2_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Simple_Tetragonal_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Triclinic_Lattice_type_1a_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Triclinic_Lattice_type_1b_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Triclinic_Lattice_type_2a_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Triclinic_Lattice_type_2b_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink Fundamental_domain.
- Brillouin_zone wikiPageWikiLink Fundamental_pair_of_periods.
- Brillouin_zone wikiPageWikiLink Locus_(mathematics).
- Brillouin_zone wikiPageWikiLink Léon_Brillouin.
- Brillouin_zone wikiPageWikiLink Mathematics.
- Brillouin_zone wikiPageWikiLink Point_group.
- Brillouin_zone wikiPageWikiLink Primitive_cell.
- Brillouin_zone wikiPageWikiLink Reciprocal_lattice.
- Brillouin_zone wikiPageWikiLink Solid-state_physics.
- Brillouin_zone wikiPageWikiLink Voronoi_diagram.
- Brillouin_zone wikiPageWikiLink Wigner–Seitz_cell.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Monoclinic_Lattice_type_2_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Base-Centered_Orthorhombic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Body-Centered_Orthorhombic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Brillouin-zone_construction_by_300keV_electrons.jpg.
- Brillouin_zone wikiPageWikiLink File:Brillouin_zone.svg.
- Brillouin_zone wikiPageWikiLink File:Face-Centered_Orthorhombic_Lattice_type_1_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Face-Centered_Orthorhombic_Lattice_type_2_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Face-Centered_Orthorhombic_Lattice_type_3_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Simple_Cubic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLink File:Simple_Orthorhombic_Lattice_(Brillouin_zone).png.
- Brillouin_zone wikiPageWikiLinkText "Brillouin zone".
- Brillouin_zone wikiPageWikiLinkText "dispersion surface".
- Brillouin_zone wikiPageWikiLinkText "first Brillouin zone".
- Brillouin_zone wikiPageWikiLinkText "k point".
- Brillouin_zone wikiPageWikiLinkText "principal directions".
- Brillouin_zone wikiPageWikiLinkText "various directions".
- Brillouin_zone wikiPageUsesTemplate Template:Cite_book.
- Brillouin_zone wikiPageUsesTemplate Template:Cite_journal.
- Brillouin_zone subject Category:Crystallography.
- Brillouin_zone type Biophysic.
- Brillouin_zone type Physic.
- Brillouin_zone type Redirect.
- 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 sameAs Q917246.
- Brillouin_zone sameAs Zona_de_Brillouin.
- Brillouin_zone sameAs Brillouin-Zone.
- Brillouin_zone sameAs Zona_de_Brillouin.
- Brillouin_zone sameAs Zone_de_Brillouin.
- Brillouin_zone sameAs אזור_ברילואן.
- 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 Zon_Brillouin.
- Brillouin_zone sameAs Brillouinzone.
- Brillouin_zone sameAs Strefa_Brillouina.
- Brillouin_zone sameAs m.02q7l1.
- Brillouin_zone sameAs Зона_Бриллюэна.
- Brillouin_zone sameAs Зона_Бріллюена.
- Brillouin_zone sameAs Q917246.
- Brillouin_zone sameAs 布里渊区.
- Brillouin_zone wasDerivedFrom Brillouin_zone?oldid=687577592.
- Brillouin_zone depiction Brillouin_zone.svg.
- Brillouin_zone isPrimaryTopicOf Brillouin_zone.