Abstract
The oxygen absorption and migration energies in the γ-TiAl alloy are calculated using the projector augmented-wave method within the density functional theory. The phonon frequencies required for estimating the average jump rate are determined at initial and saddle oxygen positions. The temperature-dependent diffusion coefficient, the activation energy, and preexponential factor D0 are calculated along axes a and c using two models, which differ in oxygen interstitial positions, and two methods (statistical, Landman). The factors that determine the temperature-dependent diffusion coefficient in the Landman model are found. On the whole, the diffusion coefficients calculated within both methods are shown to agree satisfactorily; however, the Landman model can overestimate the contributions of low-barrier paths.
Similar content being viewed by others
REFERENCES
M. Yamaguchi and Y. Umakoshi, Prog. Mater. Sci. 34, 1 (1990).
Y. W. Kim, J. Mater. 46, 30 (1994).
M. Yamaguchi, H. Inui, and K. Ito, Acta Mater. 48, 307 (2000).
E. A. Loria, Intermetallics 9, 997 (2001).
S. Becker, A. Rahmel, M. Schorr, et al., Oxid. Met. 38, 425 (1992).
M. Schmitz-Niederau and M. Schütze, Oxid. Met. 52, 225 (1999).
S. Taniguchi, H. Juso, and T. Shibata, Oxid. Met. 49, 325 (1998).
T. Narita, T. Izumi, M. Yatagai, et al., Intermetallics 8, 371 (2000).
S. Taniguchi, Y. C. Zhu, K. Fujita, et al., Oxid. Met. 58, 375 (2002).
P. Pérez, J. A. Jiménez, G. Frommeyer, et al., Mater. Sci. Eng. A 284, 138 (2000).
K. Maki, M. Shioda, M. Sayashi, et al., Mater. Sci. Eng. A 153, 591 (1992).
B. G. Kim, G. M. Kim, and C. J. Kim, Scr. Metall. Mater. 33, 1117 (1995).
J. C. Woo, S. K. Varma, and R. N. Mahapatra, Metall. Mater. Trans. A 34, 2263 (2003).
F. P. Ping, Q. M. Hu, A. V. Bakulin, et al., Intermetallics 68, 57 (2016).
T. K. Roy, R. Balasubramaniam, and A. Ghosh, Metall. Mater. Trans. A 27A, 3993 (1996).
S. Y. Liu, J. X. Shang, F. H. Wang, et al., Phys. Rev. B 79, 075419 (2009).
H. Li, S. Wang, and H. Ye, J. Mater. Sci. Technol. 25, 569 (2009).
Y. Song, J. H. Dai, and R. Yang, Surf. Sci. 606, 852 (2012).
A. V. Bakulin, S. E. Kulkova, Q. M. Hu, and R. Yang, J. Exp. Theor. Phys. 120, 257 (2015).
S. E. Kulkova, A. V. Bakulin, Q. M. Hu, et al., Comput. Mater. Sci. 97, 55 (2015).
A. M. Latyshev, A. V. Bakulin, S. E. Kulkova, Q. M. Hu, and R. Yang, J. Exp. Theor. Phys. 123, 991 (2016).
A. M. Latyshev, A. V. Bakulin, and S. E. Kul’kova, Phys. Solid State 59, 1852 (2017).
Y. Koizumi, M. Kishimoto, Y. Minamino, et al., Philos. Mag. 88, 2991 (2008).
A. V. Bakulin, A. M. Latyshev, and S. E. Kul’kova, J. Exp. Theor. Phys. 125, 138 (2017).
C. Y. Zhao, X. Wang, and F. H. Wang, Adv. Mater. Res. 304, 148 (2011).
Y. A. Bertin, J. Parisot, and J. L. Gacougnolle, J. Less Common Met. 69, 121 (1980).
S. E. Kulkova, A. V. Bakulin, and S. S. Kulkov, Latv. J. Phys. Tech. Sci. 6, 20 (2018).
H. H. Wu and D. R. Trinkle, Phys. Rev. Lett. 107, 045504 (2011).
H. Wu, Oxygen Diffusion through Titanium and Other HCP Metals (Univ. Illinois, Urbana, IL, 2013).
U. Landman and M. F. Shlesinger, Phys. Rev. B 19, 6207 (1979).
U. Landman and M. F. Shlesinger, Phys. Rev. B 19, 6220 (1979).
D. Connétable, Int. J. Hydrogen Energy 44, 12215 (2019).
P. E. Blöchl, Phys. Rev. B 50, 17953 (1994).
G. Kresse and D. Joubert, Phys. Rev. B 59, 1758 (1999).
G. Kresse and J. Hafner, Phys. Rev. B 48, 13115 (1993).
G. Kresse and J. Furthmüller, Comput. Mater. Sci. 6, 15 (1996).
J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).
H. J. Monkhorst and J. D. Pack, Phys. Rev. B 13, 5188 (1976).
G. Henkelman, B. P. Uberuaga, and H. Jónsson, J. Chem. Phys. 113, 9901 (2000).
K. Tanaka, Philos. Mag. Lett. 73, 71 (1996).
J. Braun and M. Ellner, Metall. Mater. Trans. A 32, 1037 (2001).
Bilbao Crystallographic Server, Bilbao, Univ. of the Basque Country. http://www.cryst.ehu.es/cryst/get_wp.html. Accessed October 23, 2019.
D. Connétable and M. David, J. Alloys Compd. 772, 280 (2019).
K. Lejaeghere, G. Bihlmayer, T. Björkman, et al., Science (Washington, DC, U. S.) 351, aad3000 (2016).
T. Heumann, Diffusion in Metallen: Grundlagen, Theorie, Vorgänge in Reinmetallen und Legierungen (Springer, Berlin, 1992).
V. V. Kurbatkina, in Concise Encyclopedia of Self-Propagating High-Temperature Synthesis: History, Theory, Technology, and Products, Ed. by I. P. Borovinskaya, A. A. Gromov, E. A. Levashov, (Elsevier, Amsterdam, 2017), p. 392.
H. J. Seifert, A. Kussmaul, and F. Aldinger, J. Alloys Compd. 317–318, 19 (2001).
Vl. V. Voevodin, S. A. Zhumatii, S. I. Sobolev, et al., Otkryt. Sist. 7, 36 (2012).
Funding
This work was supported in part by the Russian Foundation for Basic Research (project no. 18-03-00064_a), project no. III.23.2.8 of the Institute of Strength Physics and Materials Science, and the Competitiveness Improvement Program of Tomsk State University.
The numerical calculations were carried out on the SKIF-Cyberia supercomputer in Tomsk State University and the Lomonosov supercomputer in Moscow State University [48].
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by K. Shakhlevich
Rights and permissions
About this article
Cite this article
Bakulin, A.V., Kulkov, S.S. & Kulkova, S.E. Diffusion Properties of Oxygen in the γ-TiAl Alloy. J. Exp. Theor. Phys. 130, 579–590 (2020). https://doi.org/10.1134/S1063776120030115
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776120030115