Metallurgical Transactions

, Volume 3, Issue 1, pp 147–155 | Cite as

Self-diffusion in aluminum at low temperatures

  • J. Burke
  • T. R. Ramachandran
Transport Phenomena

Abstract

Values of the self-diffusivity of pure aluminum in the temperature range 130∮ to 200° have been determined by measuring the rate of annealing of prismatic and faulted dislocation loops in thin foils of quenched 99.999 pct Al using a diffusion-controlled climb model due to Seidman and Balluffi modified to take into account elastic interaction between vacancies and dislocations. Changes in line energy of prismatic loops with orientation were evaluated and found to produce a maximum error in D of 17 pct. Other possible sources of error were evaluated. The results giveD = 0.19 ± 0.06 exp—(1.28 ± 0.04ev/KT sq cm per sec. A direct method of determining the activation energy for self-diffusion from prismatic loop annealing rates is presented which minimizes the effects of many sources of variation in individual climb rates.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. l.
    T. S. Lundy and J. F.Murdock:J. App. Phys., 1962, vol. 33, p. 1671.CrossRefGoogle Scholar
  2. 2.
    M. Beyeler and T. Adda:J Phys. (Paris), 1968, vol. 29, p. 345.Google Scholar
  3. 3.
    N. L. Peterson and S. J. Rothman:Phys. Rev., 1970, vol. Bl, p. 3264.Google Scholar
  4. 4.
    E. I. Fradin and T. J. Rowland:Appl. Phys. Lett., 1967, vol. 11, p. 207.CrossRefGoogle Scholar
  5. 5.
    T. G. Stoebe, R. D. Gulliver, T. O. Ogurtani, and R. A. Huggins:ActaMet, 1965, vol. 13, p. 701.Google Scholar
  6. 6.
    T. J. Spokas and C. P. Slichter:Phys. Rev., 1959, vol. L13, p. 1462.CrossRefGoogle Scholar
  7. 7.
    T. G. Stoebe and H. I. Dawson:Phys. Rev., 1968, vol. 166, p. 621.CrossRefGoogle Scholar
  8. 8.
    A. Seeger and H. Mehrer:Vacancies and Interstitials in Metals, p. 1, North Holland, 1970.Google Scholar
  9. 9.
    R. 0. Simmons and R. W. Balluffi:Phys. Rev., 1960, vol. 117, p. 162.Google Scholar
  10. 10.
    T. E. Volin and R. W. Balluffi:Phys. Status. Solidi, 1968, vol. 25, p. 163.CrossRefGoogle Scholar
  11. 11.
    P. S. Dobson, P. J. Goodhew, and R. E. Smallman:Phil. Mag., 1967, vol. 16, p. 9.CrossRefGoogle Scholar
  12. 12.
    J. P. Tartour and J. Washburn:Phil. Mag., 1968, vol. 18, p. 1257.CrossRefGoogle Scholar
  13. 13.
    D. N. Seidman and R. W. Balluffi:Phil. Mag., 1966, vol. 13, p. 649.CrossRefGoogle Scholar
  14. 14.
    J. Silcox and M. J. Whelan:Phil. Mag., 1960, vol. 5, p. 1.CrossRefGoogle Scholar
  15. 15.
    J. A. Turnbull and M’ S. Stagg:Phil. Mag., 1966, vol. 14, p. 1049.CrossRefGoogle Scholar
  16. 16.
    R. Bullough and R. C. Newman:At. Energy Res. Establ., 1970, Rep. No. R 6215.Google Scholar
  17. 17.
    H. Wenzl:Vacancies and Interstirials in Metals, p. 363, North Holland, 1970.Google Scholar
  18. 18.
    V. Walder and J. Burke: University College, Swansea, unpublished research.Google Scholar
  19. 19.
    D. J. Bacon and R. Bullough:Phil. Mag., 1968, vol. 18, p. 561.CrossRefGoogle Scholar
  20. 20.
    R. Bullough and R. C. Newman:Phil. Mag., 1962, vol. 7, p. 529.CrossRefGoogle Scholar
  21. 21.
    G. B. Gibbs and J. A. Turnbull:Met. Sci.J., 1967, vol. 1, p. 25.CrossRefGoogle Scholar
  22. 22.
    D. J. Bacon and A. G. Crocker:Lattice Defects in Quenched Metals, p. 667, Academic Press, New York, 1965.Google Scholar
  23. 23.
    M. J. Makin and B. Hudson:Phil. Mag., 1963, vol. 8, p. 447:Phil Mag., 1965, vol. 11, p. 423.CrossRefGoogle Scholar
  24. 24.
    P. S. Dobson and R. E.Smallman:Proc. Roy. Soc, Ser. A., 1966, vol. 293, p. 423.CrossRefGoogle Scholar
  25. 25.
    J. W. Edington and R. E. Smallman:Phil. Mag., 1965, vol. 11, p. 1109.CrossRefGoogle Scholar
  26. 26.
    J. Jossang and J. P. Hirth:Phil. Mag., 1966, vol. 12, p. 657.CrossRefGoogle Scholar
  27. 27.
    J. E. Harris and B. C. Masters:Proc. Roy. Soc, Ser. A, 1966, vol. 292, p. 240.CrossRefGoogle Scholar
  28. 28.
    S. Kritzinger, P. S. Dobson, R. E. Smallman:Phil. Mag., 1967, vol. 66, p. 217.CrossRefGoogle Scholar
  29. 29.
    R. W. Balluffi, K. H. Lie, D. N. Seidman, and R. W. Siegel:Vacancies and Interstitials in Metals, L. 125, North Holland, 1970.Google Scholar

Copyright information

© The Metallurgical of Society of AIME 1972

Authors and Affiliations

  • J. Burke
    • 1
  • T. R. Ramachandran
    • 2
  1. 1.University CollegeSwanseaUK
  2. 2.Indian Institute of TechnologyKanpurIndia

Personalised recommendations