Abstract
When a gas dissolves into a solid at constant temperature, the electrical resistance of the solid specimen is usually altered in a readily measurable fashion. However, such resistance changes can be simply interpreted in terms of phase boundary kinetic parameters only when bulk diffusion is sufficiently rapid to eliminate solute concentration gradients within the specimen. If this condition isnot fulfilled, inferred kinetic constants must be corrected for the effects of solute diffusion limitations, since the measured resistance is no longer dependent only ontotal gas content, but rather on its spatialdistribution within the specimen. A simple procedure for accomplishing this correction is presented herein, based on the recognition that: i) measured electrical resistance is a particularfunctional of the internal solute distribution, and ii) the latter distribution must at every instant be compatible with the laws governing transient diffusion within the specimen. Illustrative results are presented for the transient engassing of foils or filaments when the resistivity change is linear in local solute concentration. Applications are given to: i) the inference of kinetic parameters from resistance-time data, and ii) the design of kinetic experiments “free” of an appreciable bulk diffusion effect.
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References
D. E. Rosner and H. D. Allendorf:J. Electrochem. Soc., 1967, vol. 114, pp. 305–14.
M. Färber and D. M. Ehrenberg:J. Electrochem. Soc. 1952, vol. 99, pp. 427- 34.
M. Boudart, D. F. Ollis, and G. W. Harris:Trans. Farad. Soc.,1969, vol. 65, part 2, no. 554, pp. 519–28.
D. E. Rosner: inAnnual Reviews of Materials Science, vol. 2, Annual Re- views Inc., Palo Alto, Calif., 1972.
R. M. Barrer:Diffusion in and Through Solids, Cambridge University Press, Cambridge, England, 1941.
C. Wagner: inAdvances in Catalysis, vol. 21, Academic Press, New York, 1970, pp. 323–81 ; and C. Wagner inHeterogeneous Kinetics at Elevated Tem- peratures, G. R. Belton and W. L. Worrell, eds., pp. 101-12, Plenum Press, New York, 1970.
H. J. Grabke: Paper No. 8 inReactions between Gases and Solids, AGARD (NATO) Conf. Proc. No. 52,1970.
G. Hörz and E. Fromm:Z. Metallic, 1970. vol. 61, pp. 819–27.
G. Hörz:Z. Metallk., 1968, vol. 59, pp. 141–44,180-83, 283-88.
W. L. Worrell: inAdvances in High Temperature Chemistry, vol 3, L. Eyring, ed., Academic Press, New York, 1971, pp. 71 -105.
P. Kofstad:High Temperature Oxidation of Metals, chap. 6, J. Wiley and Sons, New York, 1966.
R. W. Powers and M. V. Doyle:J. Appl. Phys., 1969 vol. 30, pp. 514–24.
P. G. Shewmon:Diffusion in Solids, McGraw-Hill New York, 1963.
J. D. Fast:Interaction of Metals and Gases, vol. 1,Thermodynamics and Phase Re- lations, Academic Press, New York, 1965
A. K. Volkov, E. A. Goritskaya, I. N. Kidin, T. M. Rozhnova, and M. A. Shtremel:Phys. Metals Metallog, 1970, vol. 29, pp. 65–72.
R. Burch and F. A. Lewis:Tech. Bull., Engelhard Industries, Newark, N.J., June-Sept. 1966, vol. 7, nos. 1-2, pp. 36–40.
J. Crank:The Mathematics of Diffusion, chap. 6, London: Oxford University Press, London, 1956.
H. S. Carslaw and J. C. Haeger:Conduction of Heat in Solids, Oxford Univer- sity Press, London, 1947.
M Abramowitz and I. A. Segun, eds.:Handbook of Mathematical Functions, Dover Publications, New York, 1965.
C. Wagner: inTechniques of Metals Research, vol. 4, part 1, R. A. Rapp, ed., pp. 1–20, J. Wiley and Sons, New York, 1970.
D. E. Rosner, E. Steinheil, and D. M. McArthur:Initial Engassing Kinetics of Tantalum in Atomic and Diatomic Nitrogen, unpublished research, Yale Uni- versity, New Haven, Conn., 1971.
E. Steinheil and D. E. Rosner:Kinetics and Mechanism of Nitrogen Transfer Reactions in Tantalum, unpublished research, Yale University, New Haven, Conn., 1971-1972.
E. Fromm:J. Vac. Sci. Technol, 1970,vol. l,pp. 100.
C. J. Smithells;Gases and Metals, J. Wiley and Sons, London, 1937.
D. E. Rosner:Proc. 11th Int. Symp. on Combustion; The Combustion Insti- tute, Pittsburgh, Pa., 1967, pp.181–96.
S. Katz:Chem. Eng. Sci., 1959, vol. 10, pp. 202–11.
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Rosner, D.E. Bulk diffusion limitations and phase boundary kinetics inferred using specimen resistance change. Metall Trans 3, 2493–2499 (1972). https://doi.org/10.1007/BF02647054
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DOI: https://doi.org/10.1007/BF02647054