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The Transition from the Gas to the Liquid

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Helium-3 and Helium-4

Part of the book series: The International Cryogenics Monograph Series ((INCMS))

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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. W. H. Keesom and H. H. Kraak, Physica, 2, 37 (1935);

    Article  ADS  Google Scholar 

  2. W. H. Keesom and W. K. Walstra, Physica, 1, 985 (1940);

    Article  ADS  Google Scholar 

  3. J. Kistemaker and W. H. Keesom, Physica, 12, 227 (1946).

    Article  ADS  Google Scholar 

  4. W. E. Keller, Phys. Rev. 97, 1 (1955);

    Article  ADS  Google Scholar 

  5. W. E. Keller, Phys. Rev. 98, 1571 (1955);

    Article  ADS  Google Scholar 

  6. W. E. Keller, Phys. Rev. 100, 1790 (1955).

    Article  ADS  Google Scholar 

  7. H. H. Plumb and G. Cataland, Science, 150, No. 3693, 155 (1965);

    Article  ADS  Google Scholar 

  8. H. H. Plumb and G. Cataland, Metrologia 2, 6 (1966).

    Article  Google Scholar 

  9. G. Cataland and H. H. Plumb, J. Res. Natl. Bur. Std., 69A, 531 (1965).

    Article  Google Scholar 

  10. W. H. Keesom, Helium, p. 186ff, Elsevier, Amsterdam (1942).

    Google Scholar 

  11. 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. H. Kamerlingh Onnes, Commun. Leiden, No. 124b; Proc. Roy. Acad. Amsterdam, 14, 678 (1911).

    Google Scholar 

  13. R. Berman and C. A. Swenson, Phys. Rev. 95, 311 (1954).

    Article  ADS  Google Scholar 

  14. G. Schmidt and W. H. Keesom, Commun. Leiden, No. 250b; Physica, 4, 963 (1937).

    Article  ADS  Google Scholar 

  15. G. Schmidt and W. H. Keesom, Commun. Leiden, No. 250c; Physica, 4, 971 (1937).

    Article  ADS  Google Scholar 

  16. J. Kistemaker and W. H. Keesom, Commun. Leiden, No. 269b; Physica 12, 227 (1946).

    Article  ADS  Google Scholar 

  17. J. Kistemaker, Commun. Leiden, No. 269c; Physica, 12, 272 (1946).

    Article  ADS  Google Scholar 

  18. J. R. Clement, J. K. Logan, and J. Gaffney, Naval Research Laboratory Report 4542, Washington, D.C. (1955).

    Google Scholar 

  19. See, for example, E. Ambler and R. P. Hudson, J. Res. Natl. Bur. Std., 56, 99 (1956);

    Article  Google Scholar 

  20. See, for example, E. Ambler and R. P. Hudson, J. Res. Natl. Bur. Std., 57, 23 (1956).

    Article  Google Scholar 

  21. M. Durieux, Thesis, Leiden (1960); see also H. van Dijk, Physica, 32, 945 (1966).

    Article  ADS  Google Scholar 

  22. S. G. Sydoriak, E. R. Grilly, and E. F. Hammel, Phys. Rev., 75, 303 (1949).

    Article  ADS  Google Scholar 

  23. B. M. Abraham, D. W. Osborne, and B. Weinstock, Phys. Rev., 80, 366 (1950).

    Article  ADS  Google Scholar 

  24. S. G. Sydoriak and R. H. Sherman, J. Res. Natl. Bur. Std., 68A, 547 (1964).

    Article  Google Scholar 

  25. P. L. Kapitza, J. Phys. (USSR), 4, 181 (1941).

    Google Scholar 

  26. H. A. Fairbank and J. Wilks, Proc. Roy. Soc. (London), A231, 545 (1955);

    Article  ADS  Google Scholar 

  27. L. J. Challis, K. Dransfeld, and J. Wilks, Proc. Roy. Soc. (London) A260, 31 (1961);

    Article  ADS  Google Scholar 

  28. Kuang Wey-Yen, Zh. Eksperim. i Teor. Fiz., 42, 921 (1962) [English translation, Soviet Phys.—JETP, 15, 635 (1962)].

    Google Scholar 

  29. R. A. Watkins, W. L. Taylor, and W. J. Haubach, J. Chem. Phys., 46, 1007 (1967).

    Article  ADS  Google Scholar 

  30. B. Bleaney and F. Simon, Trans. Faraday Soc, 35, 1205 (1939);

    Article  Google Scholar 

  31. B. Bleaney and R. A. Hull, Proc. Roy. Soc. (London), A178, 74 (1941);

    Article  ADS  Google Scholar 

  32. H. B. G. Casimir, D. de Klerk, and D. Polder, Commun. Leiden, No. 261a; Physica, 7, 737 (1940).

    Article  ADS  Google Scholar 

  33. R. A. Erickson and L. D. Roberts, Phys. Rev., 93, 957 (1954).

    Article  ADS  Google Scholar 

  34. W. E. Keller, Nature, 178, 883 (1956).

    Article  ADS  Google Scholar 

  35. L. I. Dana and H. Kamerlingh Onnes, Commun. Leiden, No. 179c (1926).

    Google Scholar 

  36. R. Berman and J. Poulter, Phil. Mag., 43, 1047 (1952).

    Google Scholar 

  37. H. ter Harmsel, Thesis, Leiden (1966).

    Google Scholar 

  38. R. W. Hill and O. V. Lounasmaa, Phil. Mag., 2, 143 (1957).

    Article  ADS  Google Scholar 

  39. E. C. Kerr, J. Chem. Phys. 26, 511 (1957).

    Article  ADS  Google Scholar 

  40. F. G. Brickwedde, H. van Dijk, M. Durieux, J. R. Clement, and J. K. Logan, J. Res. Natl. Bur. Std., 64A, 1 (1960).

    Article  Google Scholar 

  41. D. T. Grimsrud and J. H. Werntz, Jr., Phys. Rev., 157, 181 (1967).

    Article  ADS  Google Scholar 

  42. D. W. Osborne, H. E. Flotow, and F. Schriener, Rev. Sci. Instr., 38, 159 (1967).

    Article  ADS  Google Scholar 

  43. J. S. Rogers, R. J. Tainsh, M. S. Anderson, and C. A. Swenson (to be published).

    Google Scholar 

  44. 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. S. G. Sydoriak, T. R. Roberts, and R. H. Sherman, J. Res. Natl. Bur. Std. 68A, 559 (1964);

    Article  Google Scholar 

  46. T. R. Roberts, R. H. Sherman, and S. G. Sydoriak, J. Res. Natl. Bur. Std. 68A, 567 (1964).

    Article  Google Scholar 

  47. R. H. Sherman, S. G. Sydoriak, and T. R. Roberts, J. Res. Natl. Bur. Std. 68A, 579 (1964).

    Article  Google Scholar 

  48. E. F. Hammel, in Progress in Low Temperature Physics (C. J. Gorter, ed.), Vol. I, p. 78, North Holland, Amsterdam (1955).

    Google Scholar 

  49. B. Weinstock, B. M. Abraham, and D. Osborne, Suppl. Nuovo Cimento, 9, 310 (1958).

    Article  Google Scholar 

  50. 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. E. C. Kerr and R. D. Taylor, Ann. Phys. (N. Y.), 20,450 (1962).

    Article  ADS  Google Scholar 

  52. M. Strongin, G. O. Zimmerman, and H. A. Fairbank, Phys. Rev., 128, 1983 (1962).

    Article  ADS  Google Scholar 

  53. A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev., 130,495 (1963).

    Article  ADS  Google Scholar 

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Keller, W.E. (1969). The Transition from the Gas to the Liquid. In: Helium-3 and Helium-4. The International Cryogenics Monograph Series. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-6485-4_4

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  • DOI: https://doi.org/10.1007/978-1-4899-6485-4_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-6232-4

  • Online ISBN: 978-1-4899-6485-4

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