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Grain boundary self-diffusion in Ni: Effect of boundary inclination

Published online by Cambridge University Press:  01 May 2005

Mikhail I. Mendelev
Affiliation:
Department of Mechanical & Aerospace Engineering, Princeton University, Princeton, New Jersey 08540
Hao Zhang*
Affiliation:
Department of Mechanical & Aerospace Engineering, Princeton University, Princeton, New Jersey 08540
David J. Srolovitz
Affiliation:
Department of Mechanical & Aerospace Engineering, Princeton University, Princeton, New Jersey 08540
*
b) Address all correspondence to this author. e-mail: [email protected]
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Abstract

We examined the influence of the boundary plane on grain-boundary diffusion in Ni through a series of molecular dynamics simulations. A series of 〈010〉 ∑5 tilt boundaries, including several high symmetry and low symmetry boundary planes, were considered. The self-diffusion coefficient is a strong function of boundary inclination at low temperature but is almost independent of inclination at high temperature. At all temperatures, the self-diffusion coefficients are low when at least one of the two grains has a normal with low Miller indices. The grain boundary self-diffusion coefficient is an Arrhenius function of temperature. The logarithm of the pre-exponential factor in the Arrhenius expression was shown to be nearly proportional to the activation energy for diffusion. The activation energy for self-diffusion in a (103) symmetric tilt boundary is much higher than in boundaries with other inclinations. We discuss the origin of the boundary plane density–diffusion coefficient correlation.

Type
Articles
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1.Aristov, V.Y., Mirochnik, V.L. and Shvindlerman, L.S.: Mobility of (111) intergrain tilt boundary in aluminum. Sov. Phys. Solid State 18, 137 (1976).Google Scholar
2.Upmanyu, M., Srolovitz, D.J., Shvindlerman, L.S. and Gottstein, G.: Misorientation dependence of intrinsic grain boundary mobility: Simulation and experiment. Acta Mater. 47, 3901 (1999).CrossRefGoogle Scholar
3.Wolf, D.: Correlation between energy and volume expansion for grain-boundaries in fcc metals. Scripta Metall. Mater. 23, 1913 (1989).CrossRefGoogle Scholar
4.Upthegrove, W.R. and Sinnott, M.J.: Grain boundary self-diffusion of nickel. Trans. ASM 50, 1031 (1958).Google Scholar
5.Wazzan, A.R.: Lattice and grain boundary self-diffusion in nickel. J. Appl. Phys. 36, 3596 (1965).CrossRefGoogle Scholar
6.Lange, W., Hassner, A. and Mischer, G.: Measurement of grain-boundary diffusion of Ni63 in Ni and γ-Fe. Phys. Status Solidi 5, 63 (1964).CrossRefGoogle Scholar
7.Jurisch, M. and Hassner, A.: Concentration depletions and enhancements in range of grain boundaries. T. Jpn. I Met. 10, 439 (1969).Google Scholar
8.Canon, R.F. and Stark, J.P.: Grain boundary self-diffusion in nickel. J. Appl. Phys. 40, 4366 (1969).CrossRefGoogle Scholar
9.Dereca, N.W. and Pampillo, C.A.: Grain-boundary diffusivity via bulk diffusion measurements during grain-growth. Scripta Metall. Mater. 9, 1355 (1975).CrossRefGoogle Scholar
10.Voter, A.F. and Chen, S.P. Accurate interatomic potentials for Ni, Al and Ni3Al, in Characterization of Defects in Materials, edited by Siegel, R.W., Weertman, J.R., and Sinclair, R. (Mater. Res. Soc. Symp. Proc. 82, Pittsburgh, PA, 1987), p. 175.Google Scholar
11.Morris, J.R., Wang, C.Z., Ho, K.M. and Chan, C.T.: Melting line of aluminum from simulations of coexisting phases. Phys. Rev. B 49, 3109 (1994).CrossRefGoogle ScholarPubMed
12.Schönfelder, B., Wolf, D., Phillpot, S.R. and Furtkamp, M.: Molecular-dynamics method for the simulation of grain-boundary migration. Interface Sci. 5, 245 (1997).CrossRefGoogle Scholar
13.Lusk, M.T. and Beale, P.D.: Grain-boundary free energy in an assembly of elastic disks. Phys. Rev. E 69, 026117 (2004).CrossRefGoogle Scholar
14.Adams, B.L., Kinderlehrer, D., Mullins, W.W., Rollett, A.D. and Ta’asan, S.: Extracting the relative grain boundary free energy and mobility functions from the geometry of microstructures. Scripta Mater. 38, 531 (1998).CrossRefGoogle Scholar
15.Meyer, W. and Neldel, Z.: Relationship between the energy constant ϵ and the mass constant α in the conductivity-temperature formula for oxydic semiconductors. Z. Tech. Phys. 12, 588 (1937).Google Scholar
16.Boisvert, G., Lewis, L.J. and Yelon, A.: Many-body nature of the Meyer–Neldel compensation law for diffusion. Phys. Rev. Lett. 75, 469 (1995).CrossRefGoogle ScholarPubMed