Abstract
An analytical expression for the concentration profile of a diffusing element partially soluble in the material’s sample has been obtained on condition that the diffusion source is depleted with time. Examples of the use of the solution obtained for processing of diffusion experiments carried out with a number of impurities in beryllium have been considered. The use of the present model shows a more accurate agreement of the calculated and experimental concentration profiles, which enables one to refine the characteristics of diffusion mobility of the impurities in the materials under study.
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REFERENCES
S. D. Gertsriken and I. Ya. Dekhtyar, Diffusion in Metals and Alloys in the Solid Phase [in Russian], Gostekhizdat, Moscow (1960).
B. S. Bokshtein, Diffusion on Metals [in Russian], Metallurgiya, Moscow (1978).
K. R. Cramer and W. B. Crow, An improved Gruzin method for determining impurity diffusion coefficients, Phys. Stat. Sol. (a), 1, No.1, 81–84 (1970).
S. G. Artyshev, N. G. Volkov, and V. A. Kashcheev, Mathematical processing of the experiments on diffusion conducted with the aid of radioactive isotopes, Fiz. Metal. Metalloved., 57, Issue 5, 930–935 (1984).
H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids [Russian translation], Nauka, Moscow (1964).
V. P. Gladkov, V. A. Kashcheev, and A. V. Chervyakov, Account for the time of dissociation of the source of labeled atoms in studying diffusion in a solid body, Isotopy SSSR, Issue 2(71), 42–48 (1986).
V. P. Gladkov, V. A. Kashcheev, V. I. Petrov, et al., Diffusion in the system with a poorly soluble impurity in the solid matrix, Zh. Tekh. Fiz., 74, Issue 3, 1–4 (2003).
M. Abramovits and I. A. Stegun (Eds.), Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables [Russian translation], Nauka, Moscow (1979).
V. M. Anan’in, V. P. Gladkov, V. S. Zotov, et al., Diffusion Processes in Beryllium [in Russian], Energoizdat, Moscow (1981).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 78, No. 2, pp. 111–117, March–April, 2005.
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Gladkov, V.P., Kashcheev, V.A., Petrov, V.I. et al. Problem on Diffusion of a Partially Soluble Impurity in a Solid Matrix with Allowance for the Depletion of the Diffusant Source with Time. J Eng Phys Thermophys 78, 323–330 (2005). https://doi.org/10.1007/s10891-005-0064-z
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DOI: https://doi.org/10.1007/s10891-005-0064-z