uniquely defined primitive cell in reciprocal space. In the same way the Bravais lattice is divided up into Wigner–Seitz cells in the real lattice, the...

operation. The black-white Bravais lattices characterize the translational symmetry of the structure like the typical Bravais lattices, but also contain...

experimental studies on halo phenomena have been attributed to Auguste Bravais in 1847. Bravais used an equilateral glass prism which he spun around its vertical...

Fogbow Auguste Bravais (1847) "Sur le phénomène de l'arc-en-ciel blanc" (On the phenomenon of the white bow in the sky), Annales de Chimie et de Physique,...

along its principal axes. The translation vectors define the nodes of Bravais lattice. The lengths of principal axes/edges, of unit cell and angles between...

coefficients disappear, due to additional symmetry. A three-dimensional Bravais lattice is defined as the set of vectors of the form: R = n 1 a 1 + n 2...

also called the circumzenith arc (CZA), the upside-down rainbow, and the Bravais arc, is an optical phenomenon similar in appearance to a rainbow, but belonging...

Olivine's crystal structure incorporates aspects of the orthorhombic P Bravais lattice, which arise from each silica (SiO4) unit being joined by metal...

the choice of set-theoretical axioms: The plane contains a total of five Bravais lattices, or arrays of points defined by discrete translation operations...

right, the symmetry of the lattice is higher. These represent the four Bravais lattices in 2 dimensions. An automedian triangle is one whose medians are...

octahedral. In terms of its crystallography, corundum adopts a trigonal Bravais lattice with a space group of R3c (number 167 in the International Tables)...

in the a 1 , a 2 , c {\displaystyle a_{1},a_{2},c} directions, or four Bravais–Miller indices h, k, i, l in the a 1 , a 2 , a 3 , c {\displaystyle a_{1}...

for which the mathematical formula was derived and published by Auguste Bravais in 1844. The naming of the coefficient is thus an example of Stigler's...

{2}}-5\right).} It was noticed that this optimal value is obtained in a Bravais lattice by de Graaf, van Roij & Dijkstra (2011). Since the rhombicuboctahedron...

19 June 2020. Retrieved 20 June 2020. Bravais, A (1846). "Analyse mathématique sur les probabilités des erreurs de situation d'un point" [Mathematical analysis...

(1823–1912), an industrialist and Marie Bravais, niece of the physicist Auguste Bravais. One of his grandmothers was Louise de Montgolfier niece of the Montgolfier...

natural phenomenon since the effective index of refraction of water changes (Bravais' index of refraction for inclined rays applies). Other experiments use...

Correlation coefficient. The correlation coefficient (first developed by Auguste Bravais and Francis Galton) was defined as a product-moment, and its relationship...

Leipzig. Bravais A (1850). "Mémoire sur les systèmes formés par des points distribués regulièrement sur un plan ou dans l'espace". Journal de l'École Polytechnique...

philosophers and scientists. Even before Linnaeus, botanists such as Joseph Pitton de Tournefort, Charles Plumier and Pier Antonio Micheli were naming plants for...

anisotropy of crystalline substances, which includes their symmetry group and Bravais lattice. For example, the seven different crystalline forms of quartz silica...

unchanged within a closed system. Bravais lattice In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array...

constitute the majority of them) are given by their corresponding densest Bravais lattice packings. They also conjectured that the optimal packing of any...

Clemens Winkler finds eka-silicon (germanium, 1886). Auguste Bravais (1811–1863): Bravais lattices (1850). Friedrich August Kekulé von Stradonitz (also...

of electron diffraction, including: The simplest approximation using the de Broglie wavelength: Chpt 1-2  for electrons, where only the geometry is considered...

achieve true randomness. Mathematically, crystals can be described by a Bravais lattice with some regularity in the spacing between atoms. Because of this...

inner parts of flowers, which make it cmm) There are five lattice types or Bravais lattices, corresponding to the five possible wallpaper groups of the lattice...