Diffusion coefficient of a diffusant along a grain boundary
The grain boundary diffusion coefficient is the diffusion coefficient of a diffusant along a grain boundary in a polycrystalline solid.[1] It is a physical constant denoted , and it is important in understanding how grain boundaries affect atomic diffusivity. Grain boundary diffusion is a commonly observed route for solute migration in polycrystalline materials. It dominates the effective diffusion rate at lower temperatures in metals and metal alloys. Take the apparent self-diffusion coefficient for single-crystal and polycrystal silver, for example. At high temperatures, the coefficient is the same in both types of samples. However, at temperatures below 700 °C, the values of with polycrystal silver consistently lie above the values of with a single crystal.[2]
^P. Heitjans, J. Karger, Ed, “Diffusion in condensed matter: Methods, Materials, Models,” 2nd edition, Birkhauser, 2005, pp. 1-965.
^Shewmon, Paul (2016). Diffusion in Solids. Bibcode:2016diso.book.....S. doi:10.1007/978-3-319-48206-4. ISBN 978-3-319-48564-5. S2CID 137442988.
and 24 Related for: Grain boundary diffusion coefficient information
weighted average of the grainboundarydiffusioncoefficient and the lattice diffusioncoefficient. Diffusion along both the grainboundary and in the lattice...
dislocation pile-up and instead results in grainboundarydiffusion. The lattice resolves the applied stress by grainboundary sliding, resulting in a decrease...
controlled by grainboundary sliding, the exponents become p = 1 {\displaystyle p=1} , n = 2 {\displaystyle n=2} , and the diffusioncoefficient D {\displaystyle...
materials science, a grainboundary is the interface between two grains, or crystallites, in a polycrystalline material. Grainboundaries are two-dimensional...
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...
is the grain size, D B {\displaystyle D_{B}} is the grain-boundarydiffusioncoefficient, δ B {\displaystyle \delta _{B}} is the grainboundary thickness...
{\displaystyle \delta } is the grainboundary width and D b {\displaystyle D_{b}} is the diffusioncoefficient in the boundary) for Coble creep which dominates...
{\displaystyle D_{GB}=D_{0}e^{-(Q_{f}+Q_{m})/kT}} is the diffusioncoefficient in the grainboundary, Q f {\displaystyle Q_{f}} is the vacancy formation energy...
first law of diffusion states: J = − D ( d C / d x ) , {\displaystyle J=-D(dC/dx),} where J is the diffusion flux, D is a diffusioncoefficient, and dC/dx...
part consists in the formulation of a diffusion equation for Brownian particles, in which the diffusioncoefficient is related to the mean squared displacement...
diffusional creep is by manipulating grain structure to reduce grainboundaries which tend to be pathways for easy diffusion. Typically this is done by manufacturing...
diffusion occurs in the liquid at all temperatures by virtue of a high diffusioncoefficient, thermal convection, Marangoni convection, etc. ( D L = ∞ {\displaystyle...
thermal expansion coefficients are different. The creation or annihilation of defects such as vacancies, dislocations, and grainboundaries will cause a volume...
through a crystal until it reaches a grainboundary (the boundary between two crystals). When it reaches a grainboundary, the dislocation will disappear....
{D_{i}}{\pi t}}}} , where t is time, Di is the ith cation effective diffusioncoefficient (cm2/d), which depends on pH of contacting water as Di = Di0·10–pH...
transport theorem – 3D generalization of the Leibniz integral rule Drag coefficient – Dimensionless parameter to quantify fluid resistance Deposition (geology) –...
aided by diffusion along the grainboundaries (which is much faster than through the bulk). F.A. Mohamad has proposed a model for the minimum grain size achievable...
plasma near the moving powder can lead to a significant reduction in the coefficient of friction and even a change in its sign (negative friction). He developed...
forms discrete, micrometre-sized cubic particles at grainboundaries and triple points, and prevents grain growth by Ostwald ripening up to very high homologous...
"Revised Enskog theory for Mie fluids: Prediction of diffusioncoefficients, thermal diffusioncoefficients, viscosities, and thermal conductivities". The Journal...
the grain-size fraction dominating the process. For a fluid to begin transporting sediment that is currently at rest on a surface, the boundary (or bed)...
atoms away or toward the sink that may have varying diffusioncoefficients. The uneven rates of diffusion cause a concentration of atoms that will not necessarily...