Abstract
A method for calculating diffusion coefficients DFe and DCr and interdiffusion coefficient \(\tilde {D}\) in an irradiated Fe–Cr alloy is proposed. The substitution of the values of the self-diffusion coefficient of iron into Darken’s equation refined by Manning, which are determined with allowance for the radiation enhanced diffusion and the formation of vI and iI complexes (v is a vacancy, i is a self-interstitial atom, and I is an impurity atom), makes it possible to obtain the temperature and concentration dependences of DFe, DCr, and D at various rates of generation of radiation point defects (dpa/s).
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REFERENCES
Borovskii, I.B., Gurov, K.P., Marchukova, I.D., and Ugaste, Yu.E., Protsessy vzaimnoy diffuzii v splavakh (Processes of Mutual Diffusion in Alloys), Moscow: Nauka, 1973.
Zhdanov, G.S., Gurov, K.P., and Kryukova, T.V., Description of relaxation processes for nonequilibrium vacancies created by irradiation, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., 1986, vol. 45, no. 5, pp. 83–85.
Smithells, C.J., Metals Reference Book, Oxford: Butterworth, 1976.
Fedorov, G.B. and Smirnov, E.A., Diffusion properties of bcc Fe–Cr alloys, in Diffuzionnye protsessy v metallakh (Diffusion Processes in Metals), Tula: Tul. Politekh. Inst., 1986, pp. 42–45.
Mirzaev, D.A. and Mirzoev, A.A., Diffusion coefficient of chromium and short-range ordering in Fe–Cr alloys, Vestn. Yuzhno-Ural. Gos. Univ., 2009, no. 14, pp. 49–52.
Manning, J.R., Diffusion Kinetics for Atoms in Crystals, Princeton, NJ: Van Nostrand, 1968.
Akhiezer, I.A. and Davydov, L.N., Vvedenie v teoreticheskuyu radiatsionnuyu fiziku metallov i splavov (Introduction to Theoretical Radiation Physics of Metals and Alloys), Kiev: Naukova Dumka, 1985.
Demidov, D. and Smirnov, E., Effects of impurities on the rate of radiation creep and vacancy swelling in Fe-based austenite alloys, Inorg. Mater.: Appl. Res., 2017, vol. 8, no. 3, pp. 353–358. https://doi.org/10.1134/S2075113317030066
Demidov, D., Smirnov, E., and Tsepelev, A., Effect of impurities and grain boundaries on the kinetic characteristics of the radiation damage of iron and austenitic steels, IOP Conf. Ser.: Mater. Sci. Eng., 2016, vol. 130, art. ID 012012. https://doi.org/10.1088/1757-899X/130/1/012012
Smirnov, E.A., Some problems of kinetic theory of radiation-accelerated boundary diffusion in polycrystalline materials with impurities, Metallofiz. Nov. Tekhnol., 2013, vol. 35, no. 8, pp. 1123–1133.
Novoselov, A.N., Smirnov, E.A., and Elmanov, G.N., Effects of the grain boundaries and impurity complexes on the effective coefficients of radiation-induced diffusion in polycrystalline Fe and austenite Cr–Ni steels, Fiz. Khim. Obrab. Mater., 2013, no. 5, pp. 10–16.
Faulkner, R.G. and Song, S.-H., Determination of impurity-point defect binding energies in alloys, Mater. Sci. Technol., 1996, vol. 12, no. 11, pp. 904–910.
Stepanov, I.A. and Pechenkin, V.A., Kinetics of radiation induced grain-boundary segregation in Fe–Cr–Ni alloys, Russ. Metall. (Moscow), 2003, no. 6, pp. 553–558.
Mirzoev, A.A., Yalalov, M.M., and Mirzaev, D.A., Calculation of the energy of mixing for the Fe-Cr alloys by the first-principles methods of computer simulation, Phys. Met. Metallogr., 2004, vol. 97, no. 4, pp. 336–341.
Nazarov, A.V. and Gurov, K.P., Calculation of non-equilibrium vacancies in the phenomenological theory of mutual diffusion, Phys. Met. Metallogr., 1979, vol. 45, no. 4, pp. 185–188.
Nazarov, A.V. and Gurov, K.P., Kinetic theory of interdiffusion in binary system. Influence of concentrational dependence of self-diffusion on the process of mutual diffusion, Phys. Met. Metallogr., 1974, vol. 37, no. 3, pp. 41–47.
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Demidov, D.N., Smirnov, E.A. Effect of Irradiation on Interdiffusion in Fe–Cr System. Inorg. Mater. Appl. Res. 10, 525–528 (2019). https://doi.org/10.1134/S2075113319030080
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DOI: https://doi.org/10.1134/S2075113319030080