Abstract
Preliminary values for the self-diffusion constants of α-(hexagonal cp) Hf and new values for the self-diffusion constants of α-(hcp) Zr are given. A new determination of the latter was considered necessary since existing values disagree widely and the experimental methods employed in their determination are not considered to be sound. Values obtained by the authors for the self-diffusion constants of α-Ti are reviewed.
The activation energies obtained are much smaller than those predicted by relationships based on physical properties of the elements and, within the experimental error, they have similar values to those corresponding to the β-(body-centred cubic) phases. Frequency factors are too small to satisfy Zener's theory; when interpreted according to a vacancy model they give negative activation entropies, and the relationship D 0(α)/D 0(β) is approximately the same for the three elements.
It is suggested that the same diffusion mechanism operates in both the α- and β-phases. If two mechanisms operate in the β-phase, the low temperature one is the same as operates in the α-phase.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
A. D. Le Claire in “Diffusion in BCC Metals” (Amer. Soc. Metals, 1965) p. 3.
N. W. De Reca and C. M. Libanati, Acta Met., to be published.
J. F. Murdock, T. S. Lundy and E. E. Stansbury, ibid 12 (1964) 1033.
R. F. Peart, D. Graham, and D. H. Tomlin, ibid 10 (1962) 123.
G. B. Gibbs, D. Graham, and D. H. Tomlin, Phil. Mag. 8 (1963) 1269.
D. Graham in “Diffusion in BCC Metals” (Amer. Soc. Metals, 1965) p. 27.
J. I. Federer and T. S. Lundy, Trans. Met. Soc. AIME 227 (1963) 592.
G. V. Kidson, Canad. J. Phys. 41 (1963) 1563.
D. Volokoff, S. May, and Y. Adda, Compt. rend. 251 (1960) 2341.
T. S. Lundy, Oak Ridge Report (USA) ORNL 3617 (June, 1964).
S. J. Rothman, L. T. Lloyd, R. Weil, and A. L. Harkness, Trans. Met. Soc. AIME 218 (1960) 605.
S. J. Rothman and N. L. Peterson in “Diffusion in BCC Metals” (Amer. Soc. Metals, 1965) p. 183.
F. R. Winslow and T. S. Lundy. Trans. Met. Soc. AIME 233 (1965) 1790.
G. V. Kidson in “Diffusion in BCC Metals” (Amer. Soc. Metals, 1965) p. 329.
G. B. Gibbs, Acta Met. 12 (1964) 1302; idem, Mem. Sci. Rev. Met. 62 (1965) 841; J. Askill and G. B. Gibbs, Phys. Stat. Solidi 11 (1965) 557; G. B. Gibbs, Acta Met. 15 (1967) 1551.
G. Pound, W. Bitler, and H. Paxton, Phil. Mag. 6 (1961) 473.
E. W. Hart, Acta Met. 5 (1957) 597.
A. J. Mortlock, ibid 8 (1960) 132.
M. C. Naik and R. P. Agarwala, ibid 15 (1967) 1521.
F. Dyment, D. Fainstein, and C. M. Libanati, Scripta Met., to be published.
P. L. Gruzin, V. S. Emelyanov, G. Riabova, and G. B. Fedorov, 2nd UN International Conf. for Peaceful Uses of Atomic Energy, 19 (1958) 187.
E. V. Borisov, Yu G. Godin, P. L. Gruzin, A. I. Yevstyukin and V. S. Emelyanov, Metall. Metallov. Izdatel'stvo Akad. Nauk. SSSR (1958) 196; Isotopes Utilisation Conf. (Moscow, 1958) p. 291.
V.S. Lyashenko,B.N. Bikov, and L.V. Pavlinov, Phys. Metall. Metallov. 8 (1959) 362.
P. Flubacher, EIR-Bericht no. 49 (1963).
C. M. Libanati and F. Dyment, Acta Met. 11 (1963) 1263.
G. Seibel, thesis, Université de Paris (1962).
P. L. Gruzin. Doklady Akad. Nauk SSSR 86 (1952) 289.
F. Dyment, to be published.
P. G. Guest, “Numerical Methods of Curve Fitting” (Cambridge University Press, Cambridge, 1961).
“The Metallurgy of Hafnium”, edited by D. E. Thomas and E. T. Hayes (U.S. Atomic Energy Commission, 1960).
J. Van Liempt. Z. Physik 96 (1935) 534.
J. Askill, Phys. Stat. Solidi 11 (1965) K49.
C. Zener, “Imperfections in Nearly Perfect, Crystals”, edited by Schockley, Hollomon, Maurer and Seitz (Wiley, New York, 1952) p. 289.
Y. Adda and J. Philibert, “La Diffusion dans les Solides” (Presses Universitaires de France, Paris, 1966) p. 1132.
W. Köster, Z. Metalk. 39 (1948) 1.
P. E. Armstrong and H. L. Brown, Los Alamos Sci. Lab. Report (1963).
J. C. Crespi (Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, Buenos Aires, Argentina) private communication.
A. J. Ardell, Acta Met. 11 (1963) 591.
L. Kaufman, ibid 7 (1959) 575.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Dyment, F., Libanati, C.M. Self-diffusion of Ti, Zr, and Hf in their hcp phases, and diffusion of Nb95 in hcp Zr. J Mater Sci 3, 349–359 (1968). https://doi.org/10.1007/BF00550978
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00550978