Abstract
Diffusion coefficients of seven binary systems (Ti-Mo, Ti-Nb, Ti-Ta, Ti-Zr, Zr-Mo, Zr-Nb, and Zr-Ta) at 1200 °C, 1000 °C, and 800 °C were experimentally determined using three Ti-Mo-Nb-Ta-Zr diffusion multiples. Electron probe microanalysis (EPMA) was performed to collect concentration profiles at the binary diffusion regions. Forward simulation analysis (FSA) was then applied to extract both impurity and interdiffusion coefficients in Ti-rich and Zr-rich part of the bcc phase. Excellent agreements between our results and most of the literature data validate the high-throughput approach combining FSA with diffusion multiples to obtain a large amount of systematic diffusion data, which will help establish the diffusion (mobility) databases for the design and development of biomedical and structural Ti alloys.
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References
S. Kurtz: J. Bone Jt. Surg., 2007, vol. 89, p. 780.
Q. Chen and G.A. Thouas: Mater. Sci. Eng. R Reports, 2015, vol. 87, pp. 1–57.
M. Geetha, A.K. Singh, R. Asokamani, and A.K. Gogia: Prog. Mater. Sci., 2009, vol. 54, pp. 397–425.
M. Niinomi: Sci. Technol. Adv. Mater., 2003, vol. 4, pp. 445–54.
V. Brailovski, S. Prokoshkin, M. Gauthier, K. Inaekyan, S. Dubinskiy, M. Petrzhik, and M. Filonov: Mater. Sci. Eng. C, 2011, vol. 31, pp. 643–57.
Y.L. Hao, M. Niinomi, D. Kuroda, K. Fukunaga, Y.L. Zhou, R. Yang, and A. Suzuki: Metall. Mater. Trans. A, 2002, vol. 33, pp. 3137–44.
Y.L. Hao, S.J. Li, S.Y. Sun, C.Y. Zheng, and R. Yang: Acta Biomater., 2007, vol. 3, pp. 277–86.
M. Tane, S. Akita, T. Nakano, K. Hagihara, Y. Umakoshi, M. Niinomi, H. Mori, and H. Nakajima: Acta Mater., 2010, vol. 58, pp. 6790–8.
M. Niinomi, M. Nakai, J. Hieda, X. Zhao, and X. Zhao: Biomater. Sci. Process. Prop. Appl. II Ceram. Trans. (R. Narayan, S. Bose, A. Bandyopadhyay, eds.), 2012, vol. 237, pp. 65–78.
C. Marker, S.L. Shang, J.-C. Zhao, and Z.K. Liu: Comput. Mater. Sci., 2018, vol. 142, pp. 215–26.
C. Marker, S.L. Shang, J.-C. Zhao, and Z.K. Liu: Comput. Mater. Sci., 2017, vol. 140, pp. 121–39.
C. Marker, S.-L. Shang, J.-C. Zhao, and Z.-K. Liu: Calphad, 2018, vol. 61, pp. 72–84.
J.-C. Zhao: Prog. Mater. Sci., 2006, vol. 51, pp. 557–631.
J.-C. Zhao: J. Mater. Res., 2001, vol. 16, pp. 1565–78.
J.-C. Zhao, M.R. Jackson, L. a. Peluso, and L.N. Brewer: MRS Bull., 2002, vol. 27, pp. 324–9.
S. Huxtable, D.G. Cahill, V. Fauconnier, J.O. White, and J.-C. Zhao: Nat. Mater., 2004, vol. 3, pp. 298–301.
X. Zheng, D.G. Cahill, R. Weaver, and J.-C. Zhao: J. Appl. Phys., 2008, vol. 104, p. 73509.
J.-C. Zhao, X. Zheng, and D.G. Cahill: Scr. Mater., 2012, vol. 66, pp. 935–8.
C. Wei, X. Zheng, D.G. Cahill, and J.-C. Zhao: Rev. Sci. Instrum., 2013, vol. 84, p. 71301.
X. Du and J.-C. Zhao: npj Comput. Mater., 2017, vol. 3, p. 17.
D.B. Miracle and O.N. Senkov: Acta Mater., 2017, vol. 122, pp. 448–511.
O.N. Senkov, G.B. Wilks, J.M. Scott, and D.B. Miracle: Intermetallics, 2011, vol. 19, pp. 698–706.
O.N. Senkov, S. V. Senkova, C. Woodward, and D.B. Miracle: Acta Mater., 2013, vol. 61, pp. 1545–57.
Q. Zhang and J.-C. Zhao: Intermetallics, 2013, vol. 34, pp. 132–41.
Q. Zhang, Z. Chen, W. Zhong, and J.-C. Zhao: Scr. Mater., 2017, vol. 128, pp. 32–5.
Q. Zhang and J.-C. Zhao: J. Alloys Compd., 2014, vol. 604, pp. 142–50.
F. Sauer and V. Freise: Z. Elektrochem., 1962, vol. 66, pp. 353–62.
W. Zhong and J.-C. Zhao: Metall. Mater. Trans. A Phys. Metall. Mater. Sci., 2017, vol. 48, pp. 5778–82.
L. Zhu, C. Wei, H. Qi, L. Jiang, Z. Jin, and J.-C. Zhao: J. Alloys Compd., 2017, vol. 691, pp. 110–8.
W. Zhong and J.-C. Zhao: Scr. Mater., 2017, vol. 127, pp. 92–6.
H. Mehrer: Diffusion in Solids: Fundamentals, Methods, Materials, Diffusion-Controlled Process, Springer, New York, 2007.
G. Ghosh and M. Asta: Acta Mater., 2005, vol. 53, pp. 3225–52.
G Neumann, C Tuijn (2011) Self-Diffusion and Impurity Diffusion in Pure Metals: Handbook of Experimental Data, Elsevier, Amsterdam.
I. Thibon, D. Ansel, and T. Gloriant: J. Alloys Compd., 2009, vol. 470, pp. 127–33.
A. Brunsch and S. Steeb: Zeitschrift für Naturforsch. A, 1974, vol. 29, pp. 473–81.
L. Feng, J. Li, L. Huang, H. Chang, Y.-W. Cui, and L. Zhou: Chinese J. Nonferrous Met., 2009, vol. 19, pp. 1766–71.
W. Sprengel, T. Yamada, and H. Nakajima: Defect Diffus. Forum, 1997, vol. 143–147, pp. 431–6.
K. Majima and T. Isomoto: J. Jpn. Soc. Powder Met., 1982, vol. 29, pp. 18–23.
T. Li, J.W. Morris, N. Nagasako, S. Kuramoto, and D.C. Chrzan: Phys. Rev. Lett., 2007, vol. 98, pp. 1–4.
V.M. Polyanskii, B.N. Podgorskii, and O.D. Makarovets: Svar Proizv., 1971, vol. 3, pp. 9–10.
V.I. Gryzunov, B.K. Aitbaev, G. Omasheva, and T.I. Fryzunova: Seriya Khimicheskaya, 1993, vol. 6, p. 29.
S.G. Fedotov, M.G. Chudinov, and K.M. Konstantinov: Fiz. Met. Met., 1969, vol. 27, pp. 873–6.
Y.E. Ugaste and Y.A. Zaykin: Fiz. Met. Met., 1975, vol. 40, pp. 567–75.
L.S. Darken: Trans. Am. Inst. Min. Met. Eng., 1948, vol. 175, pp. 184–294.
G.B. Gibbs, D. Graham, and D.H. Tomlin: Philos. Mag., 1963, vol. 8, pp. 1269–82.
R. Peart, D.. H. Tomlin, R.F. Peartt, and D.. H. Tomlin: Acta Metall., 1962, vol. 10, pp. 123–34.
D. Ansel, I. Thibon, M. Boliveau, and J. Debuigne: Acta Mater., 1998, vol. 46, pp. 423–30.
ASM Alloy Phase Diagram Database.
A PazPuente, J Dickson, DD Keiser, YH Sohn (2014) Int. J. Refract. Met. Hard Mater. 43:317–21.
G.B. Fedorov and E.A. Smirnov: Diffus. React. Mater. Trans Tech Publ., 1984, p. 106.
E.A. Balakir, Y.P. Zotov, E.B. Malysheva, and V.I. Panchishnyi: Izv. Vyss. Uchebnykh Zaved. Tsvetnaya Metall., 1975, vol. 2, pp. 126–8.
Acknowledgments
All diffusion profile data produced in this study have been deposited to the NIST Materials Data Repository (http://hdl.handle.net/11256/602). The authors are thankful to Ms. Julie Chouinard for her help with EPMA performed at the CAMCOR Facilities of the University of Oregon. This study is supported by the U.S. National Science Foundation (NSF) under Grant number CMMI-1333999, and it is part of the NSF Designing Materials to Revolutionize and Engineer our Future (DMREF) program.
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Manuscript submitted December 5, 2017.
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Chen, Z., Liu, ZK. & Zhao, JC. Experimental Determination of Impurity and Interdiffusion Coefficients in Seven Ti and Zr Binary Systems Using Diffusion Multiples. Metall Mater Trans A 49, 3108–3116 (2018). https://doi.org/10.1007/s11661-018-4645-9
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DOI: https://doi.org/10.1007/s11661-018-4645-9