Abstract
Typical two-stage oxidation experiments in high-temperature oxidation studies on metals are analyzed. Two cases of predominant oxygen diffusion in the scale are studied: pure volume diffusion and simultaneous transport via grain boundaries and via the bulk. An analytical expression for the growth of the oxide layer is given for the assumption that the chemical potential of the oxygen varies linearly over the oxide layer. The numerical treatment of the differential equation is improved so that the calculation is possibly faster and/ or more accurate compared to a method given in the literature. The experimental profiles are described by four parameters, the grain boundary width, the grain radius, and the volume and grain boundary diffusivities. Two equations correlating these parameters can be extracted from the profiles. Two benchmark tests are described for testing the program. An analytical solution is presented which approximately describes the distribution of O-18 in the oxide layer for pure volume diffusion. Experimental SIMS profiles on Fe-Cr-Al alloys are explored on the basis of our calculation.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. N. Basu and J. W. Halloran, Tracer isotope distribution in growing oxide scales,Oxid. Met. 27, 143 (1987).
Y. Oishi and H. Ichimura, Grain boundary enhanced interdiffusion in polycrystalline CaO-stabilised zirconia system,J. Chem. Phys. 71, 5134 (1979).
J. Crank,The Mathematics of Diffusion (Clarendon Press, Oxford, 1956), p. 85.
S. N. Basu,Analysis Techniques for Tracer Studies of Oxidation (NASA Contractor Report 174796, 1984).
J. C. Fisher, Calculation of diffusion penetration curves for surface and grain boundary diffusion,J. Appl. Phys. 22, 54 (1951).
D. R. Gaskell,Introduction to Metallurgical Thermodynamics (McGraw Hill Series in Materials Science and Engineering, Tokyo, 1973), p. 269.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wegener, W., Borchardt, G. Analysis of oxygen-18 tracer profiles in two-stage oxidation experiments (I): predominant oxygen diffusion in the growing scale. Oxid Met 36, 339–357 (1991). https://doi.org/10.1007/BF00662969
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00662969