2020
DOI: 10.3390/ma13051051
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Kinetic Modeling of Grain Boundary Diffusion: The Influence of Grain Size and Surface Processes

Abstract: Based on rate equations, the kinetics of atom adsorption, desorption, and diffusion in polycrystalline materials is analyzed in order to understand the influence of grain boundaries and grain size. The boundary conditions of the proposed model correspond with the real situation in the electrolytes of solid oxide hydrogen fuel cells (SOFC). The role of the ratio of grain boundary and grain diffusion coefficients in perpendicular and parallel (to the surface) concentration profiles is investigated. In order to s… Show more

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Cited by 26 publications
(13 citation statements)
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“…When the density is low and the porosity is high, the surface area inside the pores is large, and electrical conduction becomes easier. [ 35 , 36 , 37 ] When the grain size is smaller, the grain boundary area is larger, and the more favorable the flash onset [ 17 ].…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…When the density is low and the porosity is high, the surface area inside the pores is large, and electrical conduction becomes easier. [ 35 , 36 , 37 ] When the grain size is smaller, the grain boundary area is larger, and the more favorable the flash onset [ 17 ].…”
Section: Resultsmentioning
confidence: 99%
“…[ [35][36][37] When the grain size is smaller, the grain boundary area is larger, and the more favorable the flash onset [17].…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The capacity reduction with increasing crystallite size may be attributed to the decreasing grain boundary surface area, so an increase occurs in the diffusion distance for Li + ions. 31,32 The 4.5% Fe:ZnO electrode shows a high stable cycle performance and a relative specific capacity of 400 mAh g −1 compared to the pure ZnO electrode during 100 cycles. According to these results, the 4.5% Fe:ZnO electrodes with small grain size, porous surface, and shallow defect energy may offer active sites to store Li + ions.…”
Section: Electrochemical Propertiesmentioning
confidence: 99%
“…Various computational methods can be used, for example, molecular dynamics (MD) [31], phase-field [32], finite element [33], Monte Carlo [34][35][36][37] and others methods. Diffusion processes have also been modeled in frame of two-dimensional continuum model [38]. It is difficult to apply MD to simulate the diffusion process, since the time scale achieved by this method is on the order of 1 ns, and diffusion bonding takes about 15 min.…”
Section: Introductionmentioning
confidence: 99%