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Magnetic space group. In solid state physics, the magnetic space groups, or Shubnikov groups, are the symmetry groups which classify the symmetries of a crystal both in space, and in a two-valued property such as electron spin. To represent such a property, each lattice point is colored black or white, [1] and in addition to the usual three ...
In financial mathematics, the Hull–White model is a model of future interest rates. In its most generic formulation, it belongs to the class of no-arbitrage models that are able to fit today's term structure of interest rates. It is relatively straightforward to translate the mathematical description of the evolution of future interest rates ...
Bravais lattice. In geometry and crystallography, a Bravais lattice, named after Auguste Bravais ( 1850 ), [1] is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by. where the ni are any integers, and ai are primitive translation vectors, or primitive vectors, which ...
A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet ).
Crystal structure. Crystal structure of table salt (sodium in purple, chlorine in green) In crystallography, crystal structure is a description of the ordered arrangement of atoms, ions, or molecules in a crystalline material. [1] Ordered structures occur from the intrinsic nature of the constituent particles to form symmetric patterns that ...
Hexagonal crystal family. In the hexagonal family, the crystal is conventionally described by a right rhombic prism unit cell with two equal axes ( a by a ), an included angle of 120° ( γ) and a height ( c, which can be different from a) perpendicular to the two base axes. The hexagonal unit cell for the rhombohedral Bravais lattice is the R ...
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