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Pressure dependence of anomalous diffusion of zirconium in β-Titanium

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Abstract

The impurity diffusion coefficients of Zr in β-Ti have been determined at temperatures from 1173 to 1773 K under pressures of 0.1 MPa and 1.0, 2.1, and 3.0 GPa using Ti/Ti-3.06 at. pct Zr diffusion couples. The Arrhenius plots of the diffusion coefficients exhibit strong curvature, and their degree becomes larger with increasing pressure. The activation volumes, ΔV, evaluated from the isothermal pressure dependence of the diffusion coefficient are 0.22 to 0.36 Ω, where Ω is the atomic volume of the host metal. The values of ΔV/Ω are very close to the ratio of 0.33 for self-diffusion in β-Ti reported by Jeffery and the ratios of 0.28 to 0.41 for W and Sn diffusion in β Ti reported by Arakiet al., whereas they are considerably smaller than that normally expected for diffusion in bcc metalsvia “simple” monovacancy mechanism. The increase in degree of curvature in the Arrhenius plot by pressure and the small values of ΔV/Ω can be interpreted in terms of the model of phonon-assisted diffusion jumpsvia monovacancies.

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References

  1. A.D. LeClaire: inDiffusion in Body-Centered Cubic Metals, J.A. Wheeler, Jr. and F.R. Winslow, eds., ASM, Metals Park, OH, 1965, pp. 3–25.

    Google Scholar 

  2. W. Petry, A. Heiming, C. Herzig, and J. Trampenau:Defect Diffusion Forum, 1991, vol. 75, pp. 211–28.

    CAS  Google Scholar 

  3. H. Nakajima and M. Koiwa:Iron Steel Inst. Jpn. Int., 1991, vol. 31, pp. 757–66.

    CAS  Google Scholar 

  4. S.Y. Lee, Y. Iijima, and K. Hirano:Phys. Status Solidi A, 1993, vol. 136, pp. 311–21.

    Article  CAS  Google Scholar 

  5. C. Herzig and H. Eckseier:Z. Metallkd., 1979, vol. 70, pp. 215–23.

    CAS  Google Scholar 

  6. G.V. Kidson and J. McGurn:Can. J. Phys., 1961, vol. 39, pp. 1146–57.

    CAS  Google Scholar 

  7. J.I. Federer and T.S. Lundy:Trans. TMS-AIME, 1963, vol. 227, pp. 592–97.

    CAS  Google Scholar 

  8. J. Askill and G.B. Gibbs:Phys. Status Solidi B, 1965, vol. 11, pp. 557–65.

    CAS  Google Scholar 

  9. G.V. Kidson:Can. J. Phys., 1963, vol. 41, pp. 1563–70.

    CAS  Google Scholar 

  10. J.M. Sanchez and D. de Fontaine:Phys. Rev. Lett., 1975, vol. 35, 227–30.

    Article  CAS  Google Scholar 

  11. U. Koehler and C. Herzig:Phys. Status Solidi B, 1987, vol. 144, pp. 243–51.

    CAS  Google Scholar 

  12. D. Lazarus and N.H. Nachtrieb: inSolids under Pressure, W. Paul and D.M. Warschauer, eds., McGraw-Hill, New York, NY, 1963, pp. 43–69.

    Google Scholar 

  13. R.N. Jeffery:Phys. Rev. B, 1971, vol. 3, pp. 4044–55.

    Article  Google Scholar 

  14. M. Buescher, C. Herzig, U. Koehler, H. Mehrer, and W. Lojkowski:Phys. Status Solidi B, 1992, vol. 174, pp. 347–57.

    Google Scholar 

  15. H. Araki, Y. Minamino, T. Yamane, S. Saji, S. Ogino, and Y. Miyamoto:J. Jpn. Inst. Met., 1993, vol. 57, pp. 501–08.

    CAS  Google Scholar 

  16. H. Araki, T. Yamane, Y. Minamino, S. Saji, Y. Fujiishi, and Y. Miyamoto:Mater. Trans., JIM, 1993, vol. 34, pp. 763–70.

    CAS  Google Scholar 

  17. R.A. Hultsch and R.G. Barnes:Phys. Rev., 1962, vol. 125, pp. 1832–42.

    Article  CAS  Google Scholar 

  18. N.H. Nachtrieb, J.A. Weil, E. Catalano, and A.W. Lawson:J. Chem. Phys., 1952, vol. 20, pp. 1189–94.

    Article  CAS  Google Scholar 

  19. J.N. Mundy:Phys. Rev. B, 1971, vol. 3, pp. 2431–45.

    Article  Google Scholar 

  20. R.E. Hanneman, R.E. Ogilvie, and H.C. Gatos:Trans. TMS-AIME, 1965, vol. 233, pp. 691–98.

    Google Scholar 

  21. D. Lazarus: inDIMETA-82, Diffusion in Metals and Alloys, F.J. Kedves and D.L. Beke, eds., Trans Tech Publications, Aedermannsdorf, Switzerland, 1982, pp. 134–44.

    Google Scholar 

  22. E.W. Hart:Acta Metall., 1957, vol. 5, p. 597.

    Article  CAS  Google Scholar 

  23. A.J. Mortlock:Acta Metall., 1960, vol. 8, pp. 132–33.

    Article  Google Scholar 

  24. D. Graham: inDiffusion in Body-Centered Cubic Metals, J.A. Wheeler, Jr. and F.R. Winslow, eds., ASM, Metals Park, OH, 1965, pp. 27–34.

    Google Scholar 

  25. L.V. Pavlinov:Fiz. Metal Metalloved., 1967, vol. 24, pp. 272–77.

    CAS  Google Scholar 

  26. Y. Iijima, S.Y. Lee, and K. Hirano:Phil. Mag. A, 1993, vol. 68, pp. 901–14.

    CAS  Google Scholar 

  27. S.Y. Lee, Y. Iijima, O. Taguchi, and K. Hirano:J. Jpn. Inst. Met., 1990, vol. 54, pp. 502–08.

    CAS  Google Scholar 

  28. S.Y. Lee, Y. Iijima, and K. Hirano:Mater. Trans. JIM, 1991, vol. 32, pp. 451–56.

    CAS  Google Scholar 

  29. R.E. Hanneman and H.M. Strong:J. Appl. Phys., 1965, vol. 36, pp. 523–28.

    Article  CAS  Google Scholar 

  30. T.O. Ziebold and R.E. Ogilvie:Anal. Chem., 1964, vol. 36, pp. 322- 27.

    Article  Google Scholar 

  31. C. Matano:Jpn. J. Phys., 1933, vol. 8, pp. 109–13.

    CAS  Google Scholar 

  32. L.D. Hall:J. Chem. Phys., 1953, vol. 21, pp. 87–89.

    Article  CAS  Google Scholar 

  33. L.S. Darken:Trans. AIME, 1948, vol. 175, pp. 184–201.

    Google Scholar 

  34. J. Askill:Phys. Status Solidi, 1966, vol. 16, pp. K63-K65.

    CAS  Google Scholar 

  35. W. Petry, A. Heiming, J. Trampenau, M. Alba, C. Herzig, H.R. Schober, and G. Vogl:Phys. Rev. B, 1991, vol. 43, pp. 10933–10947.

    Article  Google Scholar 

  36. R.M. Emrick:Phys. Rev., 1961, vol. 122, pp. 1720–33.

    Article  CAS  Google Scholar 

  37. B.J. Buescher and R.M. Emrick:Phys. Rev. B, 1970, vol. 1, pp. 3922–28.

    Article  Google Scholar 

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Araki, H., Minamino, Y., Yamane, T. et al. Pressure dependence of anomalous diffusion of zirconium in β-Titanium. Metall Mater Trans A 27, 1807–1814 (1996). https://doi.org/10.1007/BF02651930

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