Interstitial Atomic diffusion across a 4-coordinated lattice. Note that the atoms often block each other from moving to adjacent sites. As per Fick’s law, the net flux (or movement of atoms) is always in the opposite direction of the concentration gradient.H+ ions diffusing in an O2- lattice of superionic ice
In condensed matter physics, lattice diffusion (also called bulk or volume diffusion) refers to atomic diffusion within a crystalline lattice,[1] which occurs by either interstitial or substitutional mechanisms. In interstitial lattice diffusion, a diffusant (such as carbon in an iron alloy), will diffuse in between the lattice structure of another crystalline element. In substitutional lattice diffusion (self-diffusion for example), the atom can only move by switching places with another atom. Substitutional lattice diffusion is often contingent upon the availability of point vacancies throughout the crystal lattice. Diffusing particles migrate from point vacancy to point vacancy by the rapid, essentially random jumping about (jump diffusion). Since the prevalence of point vacancies increases in accordance with the Arrhenius equation, the rate of crystal solid state diffusion increases with temperature. For a single atom in a defect-free crystal, the movement can be described by the "random walk" model.
^P. Heitjans, J. Karger, Ed, “Diffusion in condensed matter: Methods, Materials, Models,” 2nd edition, Birkhauser, 2005, pp. 1-965.
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condensed matter physics, latticediffusion (also called bulk or volume diffusion) refers to atomic diffusion within a crystalline lattice, which occurs by either...
diffusivity or diffusioncoefficient is usually written as the proportionality constant between the molar flux due to molecular diffusion and the negative...
The grain boundary diffusioncoefficient is the diffusioncoefficient of a diffusant along a grain boundary in a polycrystalline solid. It is a physical...
combination of lattice, and grain boundary diffusioncoefficients. In general, surface diffusion occurs much faster than grain boundary diffusion, and grain...
d and mass m (self-diffusion). In this case, the elementary mean free path theory of diffusion gives for the diffusioncoefficient D = 1 3 ℓ v T = 2 3...
The Seebeck coefficient (also known as thermopower, thermoelectric power, and thermoelectric sensitivity) of a material is a measure of the magnitude...
the lower diffusioncoefficient into the material with the higher diffusioncoefficient—resulting in an overall translation of the lattice relative to...
(May 2011). "Signal evolution and infarction risk for apparent diffusioncoefficient lesions in acute ischemic stroke are both time- and perfusion-dependent"...
of Fickian diffusion it is possible to extract both the ν and Ediff from an Arrhenius plot of the logarithm of the diffusioncoefficient, D, versus 1/T...
{\displaystyle n=2} , and the diffusioncoefficient D {\displaystyle D} becomes D L {\displaystyle D_{L}} (the latticediffusioncoefficient). Thus, the minimum...
driven by two different density gradients, which have different rates of diffusion. Convection in fluids is driven by density variations within them under...
of dislocations through the crystal lattice of the material, in contrast to diffusion creep, in which diffusion (of vacancies) is the dominant creep...
The lattice Boltzmann methods (LBM), originated from the lattice gas automata (LGA) method (Hardy-Pomeau-Pazzis and Frisch-Hasslacher-Pomeau models), is...
effective diffusioncoefficient in the strain rate equation depends on whether or not the system is dominated by core diffusion or latticediffusion and can...
is the diffusioncoefficient or diffusivity ∇ n {\displaystyle \nabla n} is the concentration gradient of electrons The diffusioncoefficient for a charge...
modulation in an initially homogeneous alloy implies uphill diffusion or a negative diffusioncoefficient. Becker and Dehlinger had already predicted a negative...
to the position of the random walker, one obtains the equivalent diffusioncoefficient to be considered for the asymptotic Wiener process toward which...
co-workers. Like most materials, the lattice parameter of GaInAs is a function of temperature. The measured coefficient of thermal expansion is 5.66×10−6 K−1...
is cooled, a lattice mismatch strain arises between TGO and the top coat (TC) due to differing thermal expansion coefficients. Lattice mismatch strain...
parallel bulk lattice symmetry is preserved. This phenomenon can cause deviations from theoretical calculations of nucleation. Surface diffusion describes...
prohibits dislocation pile-up and instead results in grain boundary diffusion. The lattice resolves the applied stress by grain boundary sliding, resulting...
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