Reciprocal lattice is a concept associated with solids with translational symmetry which plays a major role in many areas such as X-ray and electron diffraction...

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

that a reciprocal lattice vector g {\displaystyle \mathbf {g} } (the vector indicating a reciprocal lattice point from the reciprocal lattice origin)...

+ K), where K is any reciprocal lattice vector (see figure at right). Therefore, wave vectors that differ by a reciprocal lattice vector are equivalent...

The reciprocal lattice of the hexagonal lattice is a hexagonal lattice in reciprocal space with orientation changed by 90° and primitive lattice vectors...

by scattering), and G {\displaystyle \mathbf {G} } is a crystal reciprocal lattice vector. Due to elastic scattering | k o u t | 2 = | k i n | 2 {\displaystyle...

are only five Bravais lattices. The corresponding reciprocal lattices have the same symmetry as the direct lattice. 2-D lattices are excellent for demonstrating...

{g} } a reciprocal lattice vector and V g {\displaystyle V_{g}} the corresponding Fourier coefficient of the potential. The reciprocal lattice vector is...

determine the reciprocal lattice of the sample surface. The Ewald's sphere analysis is similar to that for bulk crystals, however the reciprocal lattice for the...

of a lattice L {\textstyle L} is the reciprocal of the geometry of L {\textstyle L} , a perspective which underlies many of its uses. Dual lattices have...

periods in reciprocal space of a one-dimensional lattice with lattice cells of length a. In a one-dimensional lattice the number of reciprocal lattice vectors...

mechanics, the particle in a one-dimensional lattice is a problem that occurs in the model of a periodic crystal lattice. The potential is caused by ions in the...

domain for the discrete translation symmetry of the lattice. The primitive cell of the reciprocal lattice in momentum space is called the Brillouin zone....

Bravais lattice, and for each Bravais lattice we can determine the reciprocal lattice, which encapsulates the periodicity in a set of three reciprocal lattice...

or more lattice points (the lattice planes), the distance d between adjacent lattice planes is related to the (shortest) reciprocal lattice vector orthogonal...

the direct lattice (as distinct from the reciprocal lattice) of a crystal in three dimensions. It is therefore indexed with direct lattice indices, instead...

surface. As a consequence, the reciprocal lattice of a surface is a 2D lattice with rods extending perpendicular from each lattice point. The rods can be pictured...

diffracted beams, the diffraction angle for a given reflection, the reciprocal lattice of the crystal. It was conceived by Paul Peter Ewald, a German physicist...

k ± ⁠4π/a⁠, and so forth. Physically, the reciprocal lattice vectors act as additional chunks of momentum which the lattice can impart to the phonon. Bloch electrons...

direction) from a stated heading Reciprocal lattice, a basis for the dual space of covectors, in crystallography Reciprocal length, a measurement used in...

and also is at a reciprocal lattice vector g1 so satisfies Bragg's law. In contrast the wavevector k2 differs from the reciprocal lattice point and g2 by...

In physics, a Bragg plane is a plane in reciprocal space which bisects a reciprocal lattice vector, K {\displaystyle \scriptstyle \mathbf {K} } , at right...

constant Lattice-based cryptography Lattice graph Lattice (module) Lattice (order) Mahler's compactness theorem Reciprocal lattice Unimodular lattice "Symmetry...

}}\sin(\theta ).} In this equation, G is the reciprocal lattice vector, q is the length of the reciprocal lattice vector, k is the momentum transfer vector...

In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (1850), is an infinite array of discrete points generated by a set of...

Fourier transformed lattice fringes or electron diffraction spots. A 2D data point is defined by the length of a reciprocal lattice vector and its (acute)...

lattice constant or lattice parameter is one of the physical dimensions and angles that determine the geometry of the unit cells in a crystal lattice...

unit cell, with vertical body diagonal. Close-packing Dislocations Reciprocal lattice De Wolff, P. M.; Belov, N. V.; Bertaut, E. F.; Buerger, M. J.; Donnay...

{\displaystyle \mathbf {r} } . This can be achieved by means of the reciprocal lattice whose vectors b 1 , 2 , 3 {\displaystyle \mathbf {b} _{1,2,3}} are...

k {\displaystyle \mathbf {k} } there is an appropriate number of reciprocal lattice vectors K {\displaystyle \mathbf {K} } subtracted that the new k {\displaystyle...