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searching for Reciprocal lattice 20 found (98 total)

Bernal chart (525 words) [view diff] exact match in snippet view article find links to article

crystal, it is convenient to use cylindrical coordinates to define the reciprocal lattice vectors and their terminal points. Different order reflections will

Umklapp scattering (558 words) [view diff] exact match in snippet view article find links to article

be mathematically transformed into each other by the addition of a reciprocal lattice vector G. These processes are called Umklapp scattering and change

Plane wave expansion method (1,297 words) [view diff] exact match in snippet view article find links to article

components along the reciprocal lattice vector. Similarly, the dielectric permittivity (which is periodic along reciprocal lattice vector for photonic

Thermal conductivity and resistivity (8,360 words) [view diff] exact match in snippet view article find links to article

from normal momentum because it is only defined within an arbitrary reciprocal lattice vector. At higher temperatures (10 K < T < Θ), the conservation of

Aperiodic crystal (938 words) [view diff] exact match in snippet view article find links to article

stronger in intensity and span a lattice defined by three-dimensional reciprocal lattice vectors ( a ∗ , b ∗ , c ∗ ) {\displaystyle (a^{*},b^{*},c^{*})} .

Fourier series (11,036 words) [view diff] exact match in snippet view article find links to article

{m_{2}}{a_{2}}}x_{2}+{\tfrac {m_{3}}{a_{3}}}x_{3}\right)}.} Now, every reciprocal lattice vector can be written (but does not mean that it is the only way of

Particle in a one-dimensional lattice (3,590 words) [view diff] exact match in snippet view article find links to article

{a}{A}}=\sum _{K}{\frac {1}{\alpha ^{2}-(k+K)^{2}}}} Now, K is a reciprocal lattice vector, which means that a sum over K is actually a sum over integer

Ralph Kronig (1,755 words) [view diff] exact match in snippet view article find links to article

constant and q is the angle between the electron direction and the reciprocal lattice direction. When averaged over all directions with a non-polarized

X-ray crystal truncation rod (1,304 words) [view diff] exact match in snippet view article find links to article

space, oriented perpendicular to the surface and passing through the reciprocal lattice points of the surface, as in Fig. 1. These rods are known as diffraction

Trapezoidal rule (3,440 words) [view diff] exact match in snippet view article find links to article

state physics where equispaced sampling over primitive cells in the reciprocal lattice is known as Monkhorst-Pack integration. For functions that are not

Ashcroft and Mermin (1,482 words) [view diff] exact match in snippet view article find links to article

of Metals Failures of the Free Electron Model Crystal Lattices The Reciprocal lattice Determination of Crystal Structures by X-Ray Diffraction Classification

Coherent diffraction imaging (3,759 words) [view diff] exact match in snippet view article find links to article

"projection of the local deformations of the crystal lattice onto the reciprocal lattice vector Q of the Bragg peak about which the diffraction is measured"

Surface phonon (1,824 words) [view diff] exact match in snippet view article find links to article

_{i})-k_{s}(\sin \theta _{s})=\mathbf {G} +\mathbf {q} } where G is a reciprocal lattice vector that ensures that q falls in the first BZ and the angles θi

High resolution electron energy loss spectroscopy (2,743 words) [view diff] exact match in snippet view article find links to article

surface hold: E are energies, k and q are wave vectors and G denotes a reciprocal lattice vector. One should mention at this point that for non perfect surfaces

Low-energy electron microscopy (2,924 words) [view diff] exact match in snippet view article find links to article

{a}}^{*}+k{\textbf {b}}^{*}+l{\textbf {c}}^{*}} is a vector of the reciprocal lattice. A typical LEEM setup consists of electron gun, used to generate electrons

Multislice (3,253 words) [view diff] exact match in snippet view article find links to article

i\lambda \mathbf {u} ^{2}z)} Where u {\displaystyle \mathbf {u} } is the reciprocal lattice coordinate, z is the depth in the sample, and λ {\displaystyle \lambda

Discrete Fourier transform (12,379 words) [view diff] exact match in snippet view article find links to article

three dimensional objects further makes available a three dimensional reciprocal lattice, whose construction from translucent object shadows (via the Fourier

Polymer field theory (3,521 words) [view diff] exact match in snippet view article find links to article

and that the G {\displaystyle \mathbf {G} } -vectors designate the reciprocal lattice vectors of the supercell. Using the Eqs. (3), (4) and (5), we can

Acoustic metamaterial (5,805 words) [view diff] exact match in snippet view article find links to article

crystal, Bloch's theorem is applied on a single unit cell in the reciprocal lattice space (Brillouin zone). Several numerical methods are available for

Heat transfer physics (9,679 words) [view diff] exact match in snippet view article find links to article

periodic potential is expressed as φc (x) = Σg φgexp[i(g∙x)] (g: reciprocal lattice vector). The time-independent Schrödinger equation with this Hamiltonian