Abstract
The rigorous solution of the grain-boundary diffusion problem has been approximated by a series expansion method. The calculations show that higher-order terms may be neglected in the bulk adjacent to the grain boundary. Thus, in this region Whipple's and Suzuoka's solutions represent a close approximation to the problem. Inside the grain boundary, however, higher-order approximations have to be taken into account. These approximations gain importance in the case of wide grain boundaries. The solutions obtained for an instantaneous source have been fitted to available grain-boundary diffusion data of Ni2+ in MgO at 1200°C. Numerical calculations give for the bulk diffusion coefficient D=2.9x10-12 cm2 sec -1, the ratio of diffusion coefficient Δ=1.5 and for the grain-boundary width a=75 μ. © 1970 The American Institute of Physics.
Recommended Citation
J. Mimkes and M. Wuttig, "Diffusion In Wide Grain Boundaries," Journal of Applied Physics, vol. 41, no. 8, pp. 3205 - 3209, American Institute of Physics, Dec 1970.
The definitive version is available at https://doi.org/10.1063/1.1659401
Department(s)
Materials Science and Engineering
International Standard Serial Number (ISSN)
0021-8979
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2023 American Institute of Physics, All rights reserved.
Publication Date
01 Dec 1970
