Theoretical Solutions of Grain-Boundary Diffusion Problem. Approximations and Interpretation of Experiments
- 1 December 1962
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 33 (12) , 3574-3579
- https://doi.org/10.1063/1.1702449
Abstract
Whipple's exact solution to the idealized grain-boundary diffusion problem has been evaluated numerically for ranges of parameters appropriate to existing and contemplated experiments. From these evaluations the concentration at the grain boundary, the integrated concentration at fixed depth of penetration, and the angle at which isoconcentration contours intersect the grain boundary are obtained, these results being presented in either tabular or graphical form. The ranges of validity of approximate solutions obtained by various authors are discussed on the basis of the numerical results, as is the use of the graphs and tables for the interpretation of experimental data.This publication has 4 references indexed in Scilit:
- Grain-Boundary DiffusionJournal of Applied Physics, 1961
- Lattice and Grain Boundary Diffusion in PolycrystalsTransactions of the Japan Institute of Metals, 1961
- CXXXVIII. Concentration contours in grain boundary diffusionJournal of Computers in Education, 1954
- Calculation of Diffusion Penetration Curves for Surface and Grain Boundary DiffusionJournal of Applied Physics, 1951