Skip to main content
Log in

Nuclear susceptibility of liquid He3—I

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

Abstract

An accurate study of the nuclear molar susceptibility χ of liquid He3 has been made. Particularly emphasized was the comparison of χ in the liquid with that in solid He3. The experimental results of this work define a three-dimensional surface χT/C versus temperatureT and molar volumeV between 0.35 and 2.2° K and between 26 and 37 cm3/mole. HereC is the molar Curie constant of solid He3, assumed to beN A µ2/k B T, where μ is the nuclear magnetic moment and N A Avogadro's number. The measurements were accomplished using a carefully designed pulsed NMR set, and sample-and-hold circuitry with a digital voltmeter for readout. Most of the measurements were made at fixed temperature relative to a sample of bcc solid He3, usually at a density of 22.50 cm3/mole. These data were complemented by measurement of χ versusT at fixed pressure. Except at the highest temperatures, the scatter in the values was about 0.3%, and the results are estimated to be accurate within ±0.5%. At sufficiently high temperatures, the susceptibility is found to tend asymptotically towards Curie's law by comparison with solid He3. The deviation from Curie's law, to temperatures near 0.5° K, could be empirically written as (1−χT/C)=bT dwhereb andd are density-dependent parameters. Comparison with theories and previous measurements of the nuclear susceptibility are made. Below 1° K, the present results are about midway between those of Beal and Hatton9 and those of Thomson, Meyer, and Adams.8

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. J. Wilks,Properties of Liquid and Solid Helium (Clarendon Press, Oxford, 1967).

    Google Scholar 

  2. W. M. Fairbank, W. B. Ard, H. G. Dehmelt, W. Gordy, and S. R. Williams,Phys. Rev. 92, 208 (1963).

    Google Scholar 

  3. W. M. Fairbank and G. K. Walters,Phys. Rev. 95, 566 (1954).

    Google Scholar 

  4. W. M. Fairbank and G. K. Walters,Proceedings of Symposium on Solid and Liquid Helium Three (The Ohio State University Press, Columbus, Ohio, 1957), p. 205.

    Google Scholar 

  5. E. C. Stoner,Proc. Roy. Soc. A152, 672 (1935).

    Google Scholar 

  6. A. A. Abrikosov and I. M. Khalatnikov,Rep. Progr. Phys. 22, 329 (1959).

    Google Scholar 

  7. A. C. Anderson, W. Reese, and J. C. Wheatley,Phys. Rev. 127, 671 (1962).

    Google Scholar 

  8. A. L. Thomson, H. Meyer, and E. D. Adams,Phys. Rev. 128, 509 (1962).

    Google Scholar 

  9. B. T. Beal and J. Hatton,Phys. Rev. 139, A1751 (1965).

  10. H. A. Schwettman and H. E. Rorschach, Jr.,Phys. Rev. 144, 133 (1966).

    Google Scholar 

  11. J. E. Opfer, K. Luszczynski, and R. E. Norberg,Proceedings of the Ninth International Conference on Low-Temperature Physics (Plenum Press, New York, 1965), p. 143.

    Google Scholar 

  12. H. Ramm, P. Pedroni, J. R. Thompson, and H. Meyer,J. Low Temp. Phys. 2, 539 (1970). (The following paper in this issue).

    Google Scholar 

  13. See, e.g., W. P. Kirk, E. B. Osgood, and M. Garber,Phys. Rev. Letters 23, 833 (1969), and references therein; J. R. Sites, D. D. Osheroff, R. C. Richardson, and D. M. Lee,Phys. Rev. Letters 23, 836 (1969); V. Pipes and W. M. Fairbank,Phys. Rev. Letters 23, 520 (1969).

    Google Scholar 

  14. K. Huang,Statistical Mechanics (John Wiley & Sons, Inc., New York, 1963), Chapter 13.

    Google Scholar 

  15. E. C. Stoner,Phil. Mag. 28, 257 (1939).

    Google Scholar 

  16. R. J. Blume,Rev. Sci. Instr. 32, 554 (1961).

    Google Scholar 

  17. R. C. Richardon, E. R. Hunt, and H. Meyer,Phys. Rev. 138, A1326 (1965).

  18. E. R. Grilly and R. L. Mills,Ann. Phys. (New York)8, 1 (1959).

    Google Scholar 

  19. R. H. Sherman and F. J. Edeskuty,Ann. Phys. 9, 522 (1960).

    Google Scholar 

  20. C. Boghosian, H. Meyer, and J. E. Rives, Phys. Rev.146, 110 (1966).

    Google Scholar 

  21. L. Goldstein,Phys. Rev. 133, A52 (1964).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported by a grant from the National Science Foundation and from the AROD. The results have been presented as an Abstract inBull. Am. Phys. Soc. 14, 601 (1969), submitted in partial fulfillment for the Ph.D. in physics by J. R. Thompson, May 1969.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thompson, J.R., Ramm, H., Jarvis, J.F. et al. Nuclear susceptibility of liquid He3—I. J Low Temp Phys 2, 521–537 (1970). https://doi.org/10.1007/BF00628272

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00628272

Keywords

Navigation