Skip to main content
Log in

Properties of melting 3He: Specific heat, entropy, latent heat, and temperature

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

A sequence of experiments has been performed to measure thermal properties of liquid and solid 3He between the temperatures 1 and 25 mK at melting curve densities. A two-phase mixture of 3He sample was self-cooled by the Pomeranchuk method. A heat pulse technique was used, combined with measurements of pressure and volume, to yield separate determinations of liquid and solid properties: the specific heat of liquid 3He in the normal Fermi liquid and superfluid phases; the entropy of solid 3He above and through a nuclear magnetic transition at 1.10 mK; and an absolute thermodynamic temperature scale based on measurement of latent heat of conversion of liquid to solid.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. P. Halperin, C. N. Archie, F. B. Rasmussen, R. A. Buhrman, and R. C. Richardson, Phys. Rev. Lett. 32, 927 (1974).

    Google Scholar 

  2. W. P. Halperin, C. N. Archie, F. B. Rasmussen, and R. C. Richardson, Phys. Rev. Lett. 34, 718 (1975); W. P. Halperin, C. N. Archie, R. C. Richardson, and F. B. Rasmussen, Proc. of the Sixth Cry. Eng. Conf. (1976), E9, 194.

    Google Scholar 

  3. W. P. Halperin, C. N. Archie, F. B. Rasmussen, T. A. Alvesalo, and R. C. Richardson, Phys. Rev. B 13, 2124 (1976).

    Google Scholar 

  4. D. D. Osheroff, R. C. Richardson, and D. M. Lee, Phys. Rev. Lett. 28, 885 (1972).

    Google Scholar 

  5. D. N. Paulson, H. Kojima, and J. C. Wheatley, Phys. Rev. Lett. 32, 1098 (1974).

    Google Scholar 

  6. A. I. Ahonen, M. T. Haikala, M. Krusius, and O. V. Lounasmaa, Phys. Rev. Lett. 33, 628 (1974).

    Google Scholar 

  7. E. Clapeyron, Ann. Phys. (Lpz) 59, 446, 566 (1843).

    Google Scholar 

  8. R. Clausius, Ann. Phys. (Lpz) 79, 368, 500 (1850); Ann. Phys. (Lpz) 93, 481 (1854).

    Google Scholar 

  9. W. Thompson, Cambridge Phil. Soc. 1, 66 (1848).

    Google Scholar 

  10. J. Dewar, Proc. Roy. Inst. 17, 581 (1904).

    Google Scholar 

  11. W. H. Keesom, in Helium (Elsevier, Amsterdam, 1942), p. 194.

    Google Scholar 

  12. J. E. Verschaffelt, Commun. Leiden Suppl. No. 49, Arch. neérl. Sci. ex. nat. III A 8, 109 (1925).

    Google Scholar 

  13. H. Van Dijk and M. Durieux, in Progress in Low Temperature Physics, C. J. Gorter, ed. (North-Holland, Amsterdam, 1957), Vol. 2; T. R. Roberts, R. H. Sherman, S. G. Sydoriak, and F. G. Brickwedde, in Progress in Low Temperature Physics, C. J. Gorter, ed. (North-Holland, Amsterdam, 1964). Vol. 4.

    Google Scholar 

  14. I. Pomeranchuk, Zh. Eksp. Teor. Fiz. 20, 919 (1950).

    Google Scholar 

  15. J. Baum, D. F. Brewer, J. G. Daunt, and D. O. Edwards, Phys. Rev. Lett. 3, 127 (1959).

    Google Scholar 

  16. D. M. Lee and H. A. Fairbank, Phys. Fluids 2, 582 (1959).

    Google Scholar 

  17. S. B. Trickey, W. P. Kirk, and E. D. Adams, Rev. Mod. Phys. 44, 668 (1972).

    Google Scholar 

  18. Yu. D. Anufriev, Zh. Eksp. Teor. Fiz. Pis. Red. 1, 1 (1965). [Sov. Phys.—JETP Lett. 1, 155 (1965)].

    Google Scholar 

  19. R. T. Johnson, O. V. Lounasmaa, R. Rosenbaum, O. G. Symko, and J. C. Wheatley, J. Low Temp. Phys. 2, 403 (1970).

    Google Scholar 

  20. O. V. Eounasmaa, in Experimental Principles and Methods Below 1 K, (Academic Press, London and New York, 1974), Chapter 4.

    Google Scholar 

  21. J. R. Thompson and H. Meyer, Cryogenics 7, 296 (1967).

    Google Scholar 

  22. L. Goldstein, Phys. Rev. 188, 349 (1969).

    Google Scholar 

  23. L. Goldstein, Phys. Rev. A 2, 1964 (1970).

    Google Scholar 

  24. R. T. Johnson amd J. C. Wheatley, J. Low Temp. Phys. 2, 423 (1970).

    Google Scholar 

  25. R. A. Scribner, M. F. Panczyk, and E. D. Adams, J. Low Temp. Phys. 1, 313 (1969).

    Google Scholar 

  26. G. C. Straty and E. D. Adams, Rev. Sci. Instr. 40, 1393 (1969).

    Google Scholar 

  27. D. D. Osheroff, Ph.D. Thesis, Cornell University (1973) unpublished.

  28. G. E. Watson, J. D. Reppy, and R. C. Richardson, Phys. Rev. 188, 384 (1969).

    Google Scholar 

  29. E. R. Grilly, J. Low Temp. Phys. 4, 615 (1971).

    Google Scholar 

  30. A. C. Anderson, W. Reese, and J. C. Wheatley, Phys. Rev. 130, 1644 (1963).

    Google Scholar 

  31. D. P. Johnson and D. H. Newhall in Trans. Am. Soc. of Mech. Eng.—7th Nat. Instr. Conf., Cleveland, Ohio. (1952).

  32. R. B. Kummer, R. M. Mueller, and E. D. Adams, J. Low Temp. Phys. 27, 319 (1977).

    Google Scholar 

  33. R. T. Johnson, D. N. Paulson, C. B. Pierce, and J. C. Wheatley, Phys. Rev. Lett. 30, 207 (1973).

    Google Scholar 

  34. D. D. Osheroff, W. J. Gully, R. C. Richardson, and D. M. Lee, Phys. Rev. Lett. 29, 920 (1972).

    Google Scholar 

  35. R. A. Webb, R. P. Giffard, and J. C. Wheatley, J. Low Temp. Phys. 13, 383 (1973).

    Google Scholar 

  36. H. Marshak and R. J. Soulen, Jr., Proc. of the 13th Int. Conf. on Low Temp. Phys. (Plenum, New York, 1974).

    Google Scholar 

  37. R. A. Fisher, E. W. Hornung, G. E. Brodale, and W. F. Giauque, J. Chem. Phys. 58, 5584 (1973).

    Google Scholar 

  38. R. B. Kummer, R. M. Mueller, E. D. Adams, W. P. Kirk, A. S. Greenberg, and D. M. Lee, in Proc. of the 14th Int. Conf. on Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. 1, p. 509.

    Google Scholar 

  39. W. R. Abel, A. C. Anderson, W. C. Black, and J. C. Wheatley, Phys. Rev. 147, 111 (1966).

    Google Scholar 

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

    Google Scholar 

  41. G. A. Baker, Jr., H. E. Gilbert, J. Eve, and G. S. Rushbrooke, Phys. Rev. 164, 800 (1967).

    Google Scholar 

  42. J. C. Wheatley, Physica 69, 218 (1973).

    Google Scholar 

  43. R. A. Kamper, J. D. Siegwarth, R. Radebaugh, and J. E. Zimmerman, IEEE Proc. 59, 1368 (1971).

    Google Scholar 

  44. O. Avenel, M. Bernier, D. Bloyet, P. Piéjus, E. Varoquaux, and C. Vibet, in Proc. of the 14th Int. Conf. on Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. 4, p. 64.

  45. T. K. Alvesalo, H. K. Collan, M. T. Loponen, O. V. Lounasmaa, and M. C. Veuro, J. Low. Temp. Phys. 19, 1 (1975).

    Google Scholar 

  46. H. K. Collan, Phys. Lett. 50A, 305 (1974).

    Google Scholar 

  47. M. I. Aalto, H. K. Collan, R. G. Gylling, and K. O. Nores, Rev. Sci. Instr. 44, 1075 (1973).

    Google Scholar 

  48. D. N. Paulson, Ph.D. Thesis, University of California, San Diego (1974), unpublished.

    Google Scholar 

  49. D. D. Osheroff and W. F. Brinkman, Phys. Rev. Lett. 32, 584 (1974).

    Google Scholar 

  50. H. M. Bozler, M. E. R. Bernier, W. J. Gully, R. C. Richardson, and D. M. Lee, Phys. Rev. Lett. 32, 875 (1974).

    Google Scholar 

  51. A. J. Leggett, Rev. Mod. Phys. 47, 331 (1975); J. C. Wheatley, Rev. Mod. Phys. 47, 415 (1975).

    Google Scholar 

  52. J. M. Dundon, G. L. Stolfa, and J. M. Goodkind, Phys. Rev. Lett. 30, 843 (1973).

    Google Scholar 

  53. R. A. Webb, T. J. Greytak, R. T. Johnson, and J. C. Wheatley, Phys. Rev. Lett. 30, 210 (1973).

    Google Scholar 

  54. W. P. Halperin, R. A. Buhrman, W. W. Webb, and R. C. Richardson, in Proc. of the 13th Int. Conf. on Low Temp. Phys. (Plenum, New York, 1974), Vol. 3, p. 682.

  55. D. Pines and P. Nozieres, Theory of Quantum Liquids (W. A. Benjamin, 1966).

  56. A. C. Mota, R. P. Platzeck, R. Rapp, and J. C. Wheatley, Phys. Rev. 177, 266 (1969).

    Google Scholar 

  57. Yu D. Anufriyev, T. D. Alvesalo, H. K. Collan, N. T. Opheim, and P. Wennerström, Phys. Lett. 43A, 175 (1973).

    Google Scholar 

  58. W. P. Halperin, R. A. Buhrman, and R. C. Richardson, Bull. Am. Phys. Soc. 18, 642 (1973).

    Google Scholar 

  59. D. N. Paulson, H. Kojima, and J. C. Wheatley, Phys. Lett. 47A, 457 (1974).

    Google Scholar 

  60. H. Padamsee, J. E. Neighbor, and C. A. Shiftman, J. Low. Temp. Phys. 12, 387 (1973).

    Google Scholar 

  61. R. A. Webb, Phys. Rev. Lett. 38, 1151 (1977).

    Google Scholar 

  62. W. P. Halperin, R. A. Buhrman, D. M. Lee, and R. C. Richardson, Phys. Lett. 45A, 233 (1973).

    Google Scholar 

  63. W. F. Brinkman, H. Smith, D. D. Osheroff, and E. I. Blount, Phys. Rev. Lett. 33, 624, (1974).

    Google Scholar 

  64. D. N. Paulson, R. T. Johnson, and J. C. Wheatley, Phys. Rev. Lett. 31, 746 (1973).

    Google Scholar 

  65. L. R. Corruccini and D. D. Osheroff, Phys. Rev. Lett. 34, 695 (1975).

    Google Scholar 

  66. J. C. Wheatley, private communication.

  67. H. Ramm, P. Pedroni, J. R. Thompson, and H. Meyer, J. Low Temp. Phys. 2, 539 (1970).

    Google Scholar 

  68. N. Bernardes and H. Primakoff, Phys. Rev. Lett 2, 290 (1959).

    Google Scholar 

  69. A. K. McMahan, J. Low Temp. Phys. 8, 115 (1972).

    Google Scholar 

  70. R. A. Guyer, R. C. Richardson, and L. I. Zane, Rev. Mod. Phys. 43, 532 (1971).

    Google Scholar 

  71. R. A. Guyer, to be published.

  72. W. P. Kirk, E. B. Osgood, and M. Garber, Phys. Rev. Lett. 23, 833 (1969).

    Google Scholar 

  73. J. R. Sites, D. D. Osheroff, R. C. Richardson, and D. M. Lee, Phys. Rev. Lett. 23, 836 (1969).

    Google Scholar 

  74. P. B. Pipes and W. M. Fairbanks, Phys. Rev. Lett. 23, 520 (1969).

    Google Scholar 

  75. T. P. Bernat and H. D. Cohen, Phys. Rev. A 7, 1709 (1973).

    Google Scholar 

  76. W. P. Kirk and E. D. Adams, Phys. Rev. Lett. 27, 392 (1971).

    Google Scholar 

  77. S. H. Castles and E. D. Adams, Phys. Rev. Lett. 30, 1125 (1973).

    Google Scholar 

  78. J. M. Dundon and J. M. Goodkind, Phys. Rev. Lett. 32, 1343 (1974).

    Google Scholar 

  79. D. S. Greywall, Phys. Rev. Lett. 37, 105 (1976).

    Google Scholar 

  80. A. K. McMahan and R. A. Guyer, Phys. Rev. A 7, 1105 (1973).

    Google Scholar 

  81. D. J. Thouless, Proc. Phys. Soc. 86, 893 (1965).

    Google Scholar 

  82. L. H. Nosanow and C. M. Varma, Phys. Rev. Lett. 20, 912 (1968).

    Google Scholar 

  83. A. K. McMahan and J. W. Wilkins, Phys. Rev. Lett. 35, 376 (1975).

    Google Scholar 

  84. J. H. Hetherington and F. D. C. Willard, Phys. Rev. Lett. 35, 1442 (1975).

    Google Scholar 

  85. M. F. Panczyk and E. D. Adams, Phys. Rev. A 1, 1356 (1970).

    Google Scholar 

  86. W. L. Lim, Ph.D. Thesis, University of Minnesota (1973), unpublished.

  87. J. M. Dundon and J. M. Goodkind, J. Low Temp. Phys., 18, 315 (1975).

    Google Scholar 

  88. B. M. Abraham and D. W. Osborne, J. Low Temp. Phys. 5, 335 (1971).

    Google Scholar 

  89. M. F. Panczyk and E. D. Adams, Phys. Rev. 187, 321 (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Support for this work was obtained from the Research Corporation, the NSF through Grant no. DMR 75-15933, and the Materials Science Center of Cornell University, Grant no. GH 33637. Also, the work was supported by travel grants from the NATO Science Fellowship Programme and the Danish Natural Science Research Council.

Work performed while on leave from Phys. Lab. I, H. C. ørsted Institute, Universitetsparken, Copenhagen, Denmark.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Halperin, W.P., Rasmussen, F.B., Archie, C.N. et al. Properties of melting 3He: Specific heat, entropy, latent heat, and temperature. J Low Temp Phys 31, 617–698 (1978). https://doi.org/10.1007/BF00116046

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00116046

Keywords

Navigation