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The Transition from the Gas to the Liquid

  • William E. Keller
Chapter
Part of the The International Cryogenics Monograph Series book series (INCMS)

Abstract

In this chapter, we bridge our discussions of the gas and the liquid by considering several aspects of the vapor pressures, P sat, of the two helium isotopes. The P sat vs. T relations for He3 and He4 relative to some fixed absolute temperatures establish convenient and practical temperature scales. Indeed, these scales have become the temperature standards for work in the liquid helium region. By itself, this fact is of considerable importance ; in addition, the thermodynamic formulation of the vapor pressure function embodies all of the essential thermal and state data for the two phases in equilibrium and thereby serves as a criterion for consistency between the temperature scale and the various experimentally measured thermodynamic quantities. The liquid-vapor equilibria will be discussed from this viewpoint.

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References

  1. 1.
    W. H. Keesom and H. H. Kraak, Physica, 2, 37 (1935);ADSCrossRefGoogle Scholar
  2. 1a.
    W. H. Keesom and W. K. Walstra, Physica, 1, 985 (1940);ADSCrossRefGoogle Scholar
  3. 1b.
    J. Kistemaker and W. H. Keesom, Physica, 12, 227 (1946).ADSCrossRefGoogle Scholar
  4. 2.
    W. E. Keller, Phys. Rev. 97, 1 (1955);ADSCrossRefGoogle Scholar
  5. 2a.
    W. E. Keller, Phys. Rev. 98, 1571 (1955);ADSCrossRefGoogle Scholar
  6. 2b.
    W. E. Keller, Phys. Rev. 100, 1790 (1955).ADSCrossRefGoogle Scholar
  7. 3.
    H. H. Plumb and G. Cataland, Science, 150, No. 3693, 155 (1965);ADSCrossRefGoogle Scholar
  8. 3a.
    H. H. Plumb and G. Cataland, Metrologia 2, 6 (1966).CrossRefGoogle Scholar
  9. 4.
    G. Cataland and H. H. Plumb, J. Res. Natl. Bur. Std., 69A, 531 (1965).CrossRefGoogle Scholar
  10. 5.
    W. H. Keesom, Helium, p. 186ff, Elsevier, Amsterdam (1942).Google Scholar
  11. 6.
    H. van Dijk and M. Durieux, in Progress in Low Temperature Physics (C. J. Gorter, ed.), Vol. II, p. 431ff, North Holland, Amsterdam (1957).Google Scholar
  12. 7.
    H. Kamerlingh Onnes, Commun. Leiden, No. 124b; Proc. Roy. Acad. Amsterdam, 14, 678 (1911).Google Scholar
  13. 8.
    R. Berman and C. A. Swenson, Phys. Rev. 95, 311 (1954).ADSCrossRefGoogle Scholar
  14. 9.
    G. Schmidt and W. H. Keesom, Commun. Leiden, No. 250b; Physica, 4, 963 (1937).ADSCrossRefGoogle Scholar
  15. 10.
    G. Schmidt and W. H. Keesom, Commun. Leiden, No. 250c; Physica, 4, 971 (1937).ADSCrossRefGoogle Scholar
  16. 11.
    J. Kistemaker and W. H. Keesom, Commun. Leiden, No. 269b; Physica 12, 227 (1946).ADSCrossRefGoogle Scholar
  17. 12.
    J. Kistemaker, Commun. Leiden, No. 269c; Physica, 12, 272 (1946).ADSCrossRefGoogle Scholar
  18. 13.
    J. R. Clement, J. K. Logan, and J. Gaffney, Naval Research Laboratory Report 4542, Washington, D.C. (1955).Google Scholar
  19. 14.
    See, for example, E. Ambler and R. P. Hudson, J. Res. Natl. Bur. Std., 56, 99 (1956);CrossRefGoogle Scholar
  20. 14a.
    See, for example, E. Ambler and R. P. Hudson, J. Res. Natl. Bur. Std., 57, 23 (1956).CrossRefGoogle Scholar
  21. 15.
    M. Durieux, Thesis, Leiden (1960); see also H. van Dijk, Physica, 32, 945 (1966).ADSCrossRefGoogle Scholar
  22. 16.
    S. G. Sydoriak, E. R. Grilly, and E. F. Hammel, Phys. Rev., 75, 303 (1949).ADSCrossRefGoogle Scholar
  23. 17.
    B. M. Abraham, D. W. Osborne, and B. Weinstock, Phys. Rev., 80, 366 (1950).ADSCrossRefGoogle Scholar
  24. 18.
    S. G. Sydoriak and R. H. Sherman, J. Res. Natl. Bur. Std., 68A, 547 (1964).CrossRefGoogle Scholar
  25. 19.
    P. L. Kapitza, J. Phys. (USSR), 4, 181 (1941).Google Scholar
  26. 20.
    H. A. Fairbank and J. Wilks, Proc. Roy. Soc. (London), A231, 545 (1955);ADSCrossRefGoogle Scholar
  27. 20a.
    L. J. Challis, K. Dransfeld, and J. Wilks, Proc. Roy. Soc. (London) A260, 31 (1961);ADSCrossRefGoogle Scholar
  28. 20b.
    Kuang Wey-Yen, Zh. Eksperim. i Teor. Fiz., 42, 921 (1962) [English translation, Soviet Phys.—JETP, 15, 635 (1962)].Google Scholar
  29. 21.
    R. A. Watkins, W. L. Taylor, and W. J. Haubach, J. Chem. Phys., 46, 1007 (1967).ADSCrossRefGoogle Scholar
  30. 22.
    B. Bleaney and F. Simon, Trans. Faraday Soc, 35, 1205 (1939);CrossRefGoogle Scholar
  31. 22a.
    B. Bleaney and R. A. Hull, Proc. Roy. Soc. (London), A178, 74 (1941);ADSCrossRefGoogle Scholar
  32. 22b.
    H. B. G. Casimir, D. de Klerk, and D. Polder, Commun. Leiden, No. 261a; Physica, 7, 737 (1940).ADSCrossRefGoogle Scholar
  33. 23.
    R. A. Erickson and L. D. Roberts, Phys. Rev., 93, 957 (1954).ADSCrossRefGoogle Scholar
  34. 24.
    W. E. Keller, Nature, 178, 883 (1956).ADSCrossRefGoogle Scholar
  35. 25.
    L. I. Dana and H. Kamerlingh Onnes, Commun. Leiden, No. 179c (1926).Google Scholar
  36. 26.
    R. Berman and J. Poulter, Phil. Mag., 43, 1047 (1952).Google Scholar
  37. 27.
    H. ter Harmsel, Thesis, Leiden (1966).Google Scholar
  38. 28.
    R. W. Hill and O. V. Lounasmaa, Phil. Mag., 2, 143 (1957).ADSCrossRefGoogle Scholar
  39. 29.
    E. C. Kerr, J. Chem. Phys. 26, 511 (1957).ADSCrossRefGoogle Scholar
  40. 30.
    F. G. Brickwedde, H. van Dijk, M. Durieux, J. R. Clement, and J. K. Logan, J. Res. Natl. Bur. Std., 64A, 1 (1960).CrossRefGoogle Scholar
  41. 31.
    D. T. Grimsrud and J. H. Werntz, Jr., Phys. Rev., 157, 181 (1967).ADSCrossRefGoogle Scholar
  42. 32.
    D. W. Osborne, H. E. Flotow, and F. Schriener, Rev. Sci. Instr., 38, 159 (1967).ADSCrossRefGoogle Scholar
  43. 33.
    J. S. Rogers, R. J. Tainsh, M. S. Anderson, and C. A. Swenson (to be published).Google Scholar
  44. 34.
    T. R. Roberts, R. H. Sherman, S. G. Sydoriak, and F. G. Brickwedde, in Progress in Low Temperature Physics (C. J. Gorter, ed.), Vol. IV, p. 480ff, North Holland, Amsterdam (1964);Google Scholar
  45. 34a.
    S. G. Sydoriak, T. R. Roberts, and R. H. Sherman, J. Res. Natl. Bur. Std. 68A, 559 (1964);CrossRefGoogle Scholar
  46. 34b.
    T. R. Roberts, R. H. Sherman, and S. G. Sydoriak, J. Res. Natl. Bur. Std. 68A, 567 (1964).CrossRefGoogle Scholar
  47. 35.
    R. H. Sherman, S. G. Sydoriak, and T. R. Roberts, J. Res. Natl. Bur. Std. 68A, 579 (1964).CrossRefGoogle Scholar
  48. 36.
    E. F. Hammel, in Progress in Low Temperature Physics (C. J. Gorter, ed.), Vol. I, p. 78, North Holland, Amsterdam (1955).Google Scholar
  49. 37.
    B. Weinstock, B. M. Abraham, and D. Osborne, Suppl. Nuovo Cimento, 9, 310 (1958).CrossRefGoogle Scholar
  50. 38.
    T. R. Roberts, S. G. Sydoriak, and R. H. Sherman, in Temperature, Its Measurement and Control in Science and Industry, Vol. 3, Part 1, p. 75 (F. G. Brickwedde, ed.), Reinhold, New York (1962).Google Scholar
  51. 39.
    E. C. Kerr and R. D. Taylor, Ann. Phys. (N. Y.), 20,450 (1962).ADSCrossRefGoogle Scholar
  52. 40.
    M. Strongin, G. O. Zimmerman, and H. A. Fairbank, Phys. Rev., 128, 1983 (1962).ADSCrossRefGoogle Scholar
  53. 41.
    A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev., 130,495 (1963).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1969

Authors and Affiliations

  • William E. Keller
    • 1
  1. 1.Los Alamos Scientific LaboratoryLos AlamosUSA

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