Journal of Low Temperature Physics

, Volume 10, Issue 1–2, pp 69–77 | Cite as

The thermal expansion of aluminum below 35 K

  • J. G. Collins
  • G. K. White
  • C. A. Swenson
Article

Abstract

The linear coefficient of expansion α of aluminum has been measured between 3 and 35 K in two independent experiments at the Australian National Standards Laboratory (NSL) and at Iowa State University (ISU). Agreement between the NSL and ISU measurements is better than 1% above 12 K and is within 3.5% below 12 K. Below 8 K α may be represented by
$$10^{10} \alpha \simeq (9.3 \pm 0.1)T + (0.271\bar + 0.010)T^3 - (0.5 \pm 0.5) \times 10^{ - 4} T^5 $$
corresponding to respective electronic and lattice Grüneisen parameters γ e ≃1.61 and γ1≃2.65. The results extend and agree with earlier measurements of the low-temperature thermal expansion of aluminum from these laboratories; they show no sign of the anomalously large values for γ e and γ1 below 40 K reported on a number of occasions.

Keywords

Aluminum Thermal Expansion Independent Experiment Magnetic Material Standard Laboratory 

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References

  1. 1.
    R. H. Carr and C. A. Swenson,Cryogenics 4, 76 (1964).Google Scholar
  2. 2.
    K. O. McLean and C. A. Swenson,J. Low Temp. Phys. 7, 76 (1972).Google Scholar
  3. 3.
    G. K. White,Cryogenics 1, 151 (1961).Google Scholar
  4. 4.
    G. K. White and J. G. Collins,J. Low Temp. Phys. 7, 43 (1972).Google Scholar
  5. 5.
    G. K. White,Phil. Mag. 6, 815 (1961); see also J. G. Collins and G. K. White,Progr. Low Temp. Phys. 4, 450 (1964).Google Scholar
  6. 6.
    K. Andres,Phys. Kond. Mat. 2, 294 (1964).Google Scholar
  7. 7.
    E. Huzan, C. P. Abbiss, and G. O. Jones,Phil. Mag. 6, 277 (1961).Google Scholar
  8. 8.
    D. B. Fraser and A. C. Hollis Hallett,Can. J. Phys. 43, 193 (1965).Google Scholar
  9. 9.
    F. G. Awad and D. Gugan,Cryogenics 6, 414 (1971).Google Scholar
  10. 10.
    E. P. Harris and D. E. Mapother,Phys. Rev. 165, 522 (1968).Google Scholar
  11. 11.
    D. Gross and J. L. Olsen,Cryogenics 1, 91 (1960).Google Scholar
  12. 12.
    N. E. Phillips,Phys. Rev. 114, 676 (1959).Google Scholar
  13. 13.
    W. T. Berg,Phys. Rev. 167, 583 (1967).Google Scholar
  14. 14.
    G. N. Kamm and G. A. Alers,J. Appl. Phys. 35, 327 (1964).Google Scholar
  15. 15.
    T. H. K. Barron and J. A. Morrison,Can. J. Phys. 35, 799 (1957).Google Scholar
  16. 16.
    W. F. Giauque and P. F. Meads,J. Am. Chem. Soc. 63, 1897 (1941).Google Scholar
  17. 17.
    H. W. Altman, T. Rubin, and H. L. Johnston, Ohio State Univ. Cryogenics Lab. Tech. Report 264–27 (1954).Google Scholar
  18. 18.
    P. F. Messer, Ph.D. thesis, University of Southampton, 1965.Google Scholar
  19. 19.
    D. C. Wallace,J. Appl. Phys. 41, 5055 (1970).Google Scholar
  20. 20.
    M. Schlüter,Phys. Stat. Sol. 43, 141 (1971).Google Scholar
  21. 21.
    R. E. Schmunk and C. S. Smith,J. Phys. Chem. Solids 9, 100 (1959).Google Scholar
  22. 22.
    P. S. Ho and A. L. Ruoff,J. Appl. Phys. 40, 3151 (1969).Google Scholar
  23. 23.
    J. F. Thomas, Jr.,Phys. Rev. 175, 955 (1968).Google Scholar
  24. 24.
    D. Lazarus,Phys. Rev. 76, 545 (1949).Google Scholar
  25. 25.
    W. C. Overton and A. F. Schuch, Los Alamos Scientific Laboratory Report LA-3162 (1965).Google Scholar
  26. 26.
    W. B. Gauster,Phys. Rev. B4, 1288 (1971).Google Scholar
  27. 27.
    R. Griessen and H. R. Ott,Phys. Letters 36A, 113 (1971).Google Scholar
  28. 28.
    C. Palmy, J. L. Olsen, R. Flach, and P. de Trey, “Propriétés Physiques des Solides sous Pression,”Colloques Internationaux du C.N.R.S. (C.N.R.S., Paris, 1970), No. 188, p. 95.Google Scholar
  29. 29.
    J. G. Collins,Ann. Acad. Sci. Fennicae AVI, No. 210, 239 (1966).Google Scholar
  30. 30.
    R. Griessen and J. L. Olsen,Solid State Comm. 9, 1655 (1971).Google Scholar

Copyright information

© Plenum Publishing Corporation 1973

Authors and Affiliations

  • J. G. Collins
    • 1
  • G. K. White
    • 1
  • C. A. Swenson
    • 2
  1. 1.CSIRO Division of PhysicsNational Standards LaboratorySydneyAustralia
  2. 2.Ames Laboratory—USAEC and Department of PhysicsIowa State UniversityAmes

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