In mathematics and solid state physics, the first Brillouin zone (named after Léon Brillouin) is a uniquely defined primitive cell in reciprocal space...

necessary." Brillouin function Brillouin limit Brillouin scattering Brillouin zone Brillouin theorem Brillouin doublet Brillouin flow Brillouin–Wigner formula...

{\displaystyle \mathbf {k} } far outside the first Brillouin zone are still reflected back into the first Brillouin zone. See the external links section for sites...

primitive cell of the reciprocal lattice in momentum space is called the Brillouin zone. The concept of Voronoi decomposition was investigated by Peter Gustav...

are six locations in momentum space, the vertices of its hexagonal Brillouin zone, divided into two non-equivalent sets of three points. The two sets...

than the size of the first Brillouin zone, which results in a portion of the Fermi surface lying in the second (or higher) zones. As with the band structure...

singularities occur are often referred to as critical points of the Brillouin zone. For three-dimensional crystals, they take the form of kinks (where...

photon energy, corresponding to the band gaps at critical points of the Brillouin zone. The electroreflectance effect can be used to get a clearer picture...

integration over the whole domain of the Brillouin zone can be reduced to a 48-th part of the whole Brillouin zone. As a crystal structure periodic table...

have multiple "valleys" in the electronic band structure of the first Brillouin zone, and are known as multivalley semiconductors. Valleytronics is the technology...

Wavevectors outside the Brillouin zone simply correspond to states that are physically identical to those states within the Brillouin zone. Special high symmetry...

_{A}^{\mu }} . Therefore, a fermion with momentum near the center of the Brillouin zone is mapped to one of its corners while one of the corner fermions comes...

Brillouin zone. Therefore, if we restrict k to the first Brillouin zone, then every Bloch state has a unique k. Therefore, the first Brillouin zone is...

has shown that nesting occurs at four points in the antiferromagnetic Brillouin zone where spin waves exist and that the superconducting energy gap is larger...

two main types: those whose bands become zero at the center of the Brillouin zone are called acoustic phonons, since they correspond to classical sound...

excited, because unless the sum of q2 and q3 points outside of the Brillouin zone the momentum is conserved and the process is normal scattering (N-process)...

Laurent; Tanaka, Isao (2015-03-20). "Distributions of phonon lifetimes in Brillouin zones". Physical Review B. 91 (9): 094306. arXiv:1501.00691. Bibcode:2015PhRvB...

studied metal has spherical Fermi surface inscribed within the first Brillouin zone and a Debye phonon spectrum. If more than one source of scattering is...

the middle of an edge joining a hexagonal and a square face of the Brillouin zone of a face-centered cubic lattice, in solid-state physics U, one of the...

Voronoi tessellation of the face-centered cubic lattice. It is the Brillouin zone of body-centered cubic (bcc) crystals. Some minerals such as garnet...

and John A. Wheeler Brewster's angle, law – David Brewster Brillouin zone – Léon Brillouin Brinkman number – Hendrik C. Brinkman Brook rearrangement –...

conduction band is vacant. The two bands touch at the zone corners (the K point in the Brillouin zone), where there is a zero density of states but no band...

gap in each direction becomes wider and the second one is to make the Brillouin zone more similar to sphere. However, the former is limited by the available...

Spin-polarized calculations (collinear or not). k-sampling of the Brillouin zone. The local and orbital-projected density of states. COOP and COHP curves...

brachistochrone curve Daniel Bernoulli Bernoulli's principle Marcel Brillouin Léon Brillouin Brillouin zone WKB approximation Niels Bohr Bohr model Complementarity...

reflection is the splitting of the dispersion surface at the border of the Brillouin zone in reciprocal space. There is a gap between the dispersion surfaces...

located at the non-equivalent K points (K+ and K−) of the 2D hexagonal Brillouin zone. The interband transitions in the vicinity of the K+ (or K−) point are...

the Wigner-Seitz cell is the Voronoi tessellation of a solid, and the Brillouin zone is the Voronoi tessellation of reciprocal (wavenumber) space of crystals...

Green function along a connected surface in momentum space in the first Brillouin zone Two sign changes of the Hall coefficient as electron doping goes from...

Schrödinger equation at each point in the Brillouin zone independently of the other points in the Brillouin zone.: 138  The Schrödinger equation is consistent...