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...

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

{\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...

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...

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

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...

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...

the dispersion relation of the collective excitations, over the whole Brillouin zone. Spin waves are collective perturbations in a magnetic solid. Their...

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...

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

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)...

_{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...

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

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...

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

crystalline medium corresponds to the wave vectors confined to the Brillouin zone. This indeterminacy in wavelength in solids is important in the analysis...

scattering and Brillouin scattering. Photons can be scattered by matter. For example, photons scatter so many times in the solar radiative zone after leaving...

Normale Supérieure, where he studied the physics of Jules Violle, Marcel Brillouin, and Henri Abraham, and at the Faculty of Sciences of the University of...

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...

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...

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

states that can satisfy the energy conservation (i.e. an integral of the Brillouin zone in the k-space), and take into account spin degeneracy, which after...

_{q}|\gamma (q)|^{2}/\hbar \omega } , here summation is taken over the Brillouin zone. Note that this binding energy is purely adiabatic, i.e. does not depend...

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...

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...

Capacity of Low Loss Optical Fibers as Determined by Stimulated Raman and Brillouin Scattering". Applied Optics. 11 (11): 2489–94. Bibcode:1972ApOpt..11.2489S...

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...