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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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.
W. Petry, A. Heiming, C. Herzig, and J. Trampenau:Defect Diffusion Forum, 1991, vol. 75, pp. 211–28.
H. Nakajima and M. Koiwa:Iron Steel Inst. Jpn. Int., 1991, vol. 31, pp. 757–66.
S.Y. Lee, Y. Iijima, and K. Hirano:Phys. Status Solidi A, 1993, vol. 136, pp. 311–21.
C. Herzig and H. Eckseier:Z. Metallkd., 1979, vol. 70, pp. 215–23.
G.V. Kidson and J. McGurn:Can. J. Phys., 1961, vol. 39, pp. 1146–57.
J.I. Federer and T.S. Lundy:Trans. TMS-AIME, 1963, vol. 227, pp. 592–97.
J. Askill and G.B. Gibbs:Phys. Status Solidi B, 1965, vol. 11, pp. 557–65.
G.V. Kidson:Can. J. Phys., 1963, vol. 41, pp. 1563–70.
J.M. Sanchez and D. de Fontaine:Phys. Rev. Lett., 1975, vol. 35, 227–30.
U. Koehler and C. Herzig:Phys. Status Solidi B, 1987, vol. 144, pp. 243–51.
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.
R.N. Jeffery:Phys. Rev. B, 1971, vol. 3, pp. 4044–55.
M. Buescher, C. Herzig, U. Koehler, H. Mehrer, and W. Lojkowski:Phys. Status Solidi B, 1992, vol. 174, pp. 347–57.
H. Araki, Y. Minamino, T. Yamane, S. Saji, S. Ogino, and Y. Miyamoto:J. Jpn. Inst. Met., 1993, vol. 57, pp. 501–08.
H. Araki, T. Yamane, Y. Minamino, S. Saji, Y. Fujiishi, and Y. Miyamoto:Mater. Trans., JIM, 1993, vol. 34, pp. 763–70.
R.A. Hultsch and R.G. Barnes:Phys. Rev., 1962, vol. 125, pp. 1832–42.
N.H. Nachtrieb, J.A. Weil, E. Catalano, and A.W. Lawson:J. Chem. Phys., 1952, vol. 20, pp. 1189–94.
J.N. Mundy:Phys. Rev. B, 1971, vol. 3, pp. 2431–45.
R.E. Hanneman, R.E. Ogilvie, and H.C. Gatos:Trans. TMS-AIME, 1965, vol. 233, pp. 691–98.
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.
E.W. Hart:Acta Metall., 1957, vol. 5, p. 597.
A.J. Mortlock:Acta Metall., 1960, vol. 8, pp. 132–33.
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.
L.V. Pavlinov:Fiz. Metal Metalloved., 1967, vol. 24, pp. 272–77.
Y. Iijima, S.Y. Lee, and K. Hirano:Phil. Mag. A, 1993, vol. 68, pp. 901–14.
S.Y. Lee, Y. Iijima, O. Taguchi, and K. Hirano:J. Jpn. Inst. Met., 1990, vol. 54, pp. 502–08.
S.Y. Lee, Y. Iijima, and K. Hirano:Mater. Trans. JIM, 1991, vol. 32, pp. 451–56.
R.E. Hanneman and H.M. Strong:J. Appl. Phys., 1965, vol. 36, pp. 523–28.
T.O. Ziebold and R.E. Ogilvie:Anal. Chem., 1964, vol. 36, pp. 322- 27.
C. Matano:Jpn. J. Phys., 1933, vol. 8, pp. 109–13.
L.D. Hall:J. Chem. Phys., 1953, vol. 21, pp. 87–89.
L.S. Darken:Trans. AIME, 1948, vol. 175, pp. 184–201.
J. Askill:Phys. Status Solidi, 1966, vol. 16, pp. K63-K65.
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.
R.M. Emrick:Phys. Rev., 1961, vol. 122, pp. 1720–33.
B.J. Buescher and R.M. Emrick:Phys. Rev. B, 1970, vol. 1, pp. 3922–28.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02651930