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...

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

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...

along its principal axes. The translation vectors define the nodes of the Bravais lattice. The lengths of the principal axes, or edges, of the unit cell...

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,...

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...

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...

(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...

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}...

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

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...

a purely hexagonal structure. The plane also contains a total of five Bravais lattices, or arrays of points defined by discrete translation operations:...

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

Pearson 1930a. Pearson 1930b. Saini 2019. Bravais, A (1846). "Analyse mathématique sur les probabilités des erreurs de situation d'un point" [Mathematical analysis...

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...

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

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

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

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

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

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

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...