Skip to main content
Log in

Experimental determination of the equation of state of solid hydrogen and deuterium at high pressures

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

Isochores of solid hydrogen and deuterium have been measured for melting line pressures up to 2000 bar. These are corrected to correspond to para-H2 and ortho-D2. The 4.2 K isotherm of H2 has been determined and compared to the extrapolated low-pressure isochore of Anderson and Swenson (AS). Deviations have led us to reanalyze the AS data. The 4.2 K isotherm and the isochores are used, with the aid of a Mie-Grüneisen analysis, to determine P-V-T data for these solids up to 25 kbar. An analysis is presented which enables a determination of P-V-T-C 1 for all values of C 1, the ortho-para concentration. Results, including the Debye temperature, Grüneisen constant, and bulk modulus, are presented both in tabulated and graphical form. We also present what we feel to be the best of the 4.2 K, zero-pressure molar volumes of disordered H2 and D2 as a function of C 1. Our measurements show no indication of the premelting phase transition reported in recent Russian literature and a possible explanation is presented.

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. M. Ross, J. Chem. Phys. 60, 3634 (1974).

    Google Scholar 

  2. A. Driessen, J. A. de Waal, and I. F. Silvera, in Proc. International Conf. on Quantum Cystals, Fort Collins, Colorado, August 8–12 (1977), unpublished; I. F. Silvera, A. Driessen, and J. A. de Waal, in press.

  3. I. F. Silvera, in Proceedings LT14 (North-Holland, Amsterdam, 1975), Vol. 5, p. 123.

    Google Scholar 

  4. F. Simon, M. Ruheman, and W. A. M. Edwards, Z. Phys. Chem. B 6, 331 (1929).

    Google Scholar 

  5. R. L. Mills and E. R. Grilly, Phys. Rev. 101, 1246 (1956); 99, 480 (1955).

    Google Scholar 

  6. R. D. Goodwin and H. M. Roder, Cryogenics 3, 12 (1963).

    Google Scholar 

  7. R. F. Dwyer, G. A. Cook, O. E. Berwaldt, and H. E. Nevins, J. Chem. Phys. 43, 801 (1965).

    Google Scholar 

  8. B. A. Younglove, J. Chem. Phys. 48, 4181 (1968).

    Google Scholar 

  9. J. W. Stewart, J. Phys. Chem. Sol. 1, 146 (1956).

    Google Scholar 

  10. M. S. Anderson and C. A. Swenson, Phys. Rev. B 10, 5184 (1974).

    Google Scholar 

  11. S. C. Durana and J. P. McTague, J. Low Temp. Phys. 21, 21 (1975).

    Google Scholar 

  12. I. L. Spain and S. Segall, Cryogenics 11, 26 (1971).

    Google Scholar 

  13. W. F. Lewis, D. Benson, R. K. Crawford, and W. B. Daniels, J. Phys. Chem. Sol. 35, 383 (1974).

    Google Scholar 

  14. S. Alterovitz and D. E. Mapother, Rev. Sci. Instr. 45, 1528 (1974).

    Google Scholar 

  15. A. Driessen, P. J. Berkhout, and I. F. Silvera, to be published.

  16. G. A. Cook, R. F. Dwyer, O. E. Berwaldt, and H. E. Nevins, J. Chem. Phys. 43, 1313 (1965).

    Google Scholar 

  17. N. Bignell, Cryogenics 13, 30 (1973).

    Google Scholar 

  18. V. G. Manzhelii, B. G. Udovidchenko, and V. B. Esel'son, Sov. Phys—JETP Lett. 18, 16 (1973); Sov. J. Low Temp. Phys. 1, 384 (1975).

    Google Scholar 

  19. I. N. Krupskii, Yu. E. Stetsenko, and G. N. Shcherbakov, Sov. Phys.—JETP Lett. 23, 400 (1976).

    Google Scholar 

  20. N. G. Bereznyak and A. A. Sheinina, Fiz. Nizkikh Temp. 3, 804 (1977).

    Google Scholar 

  21. S. C. Durana and J. P. McTague, Phys. Rev. Lett. 31, 990 (1973).

    Google Scholar 

  22. J. F. Jarvis, H. Meyer, and D. Ramm, Phys. Rev. 178, 1461 (1969).

    Google Scholar 

  23. P. Pedroni, H. Meyer, F. Weinhaus, and D. Haase, Solid State Comm. 14, 279 (1974).

    Google Scholar 

  24. I. F. Silvera, W. N. Hardy, and J. P. McTague, Disc. Faraday Soc. 48, 54 (1969).

    Google Scholar 

  25. C. A. Swenson, in Rare Gas Solids, Vol. II, M. L. Klein and J. A. Venables, eds. (Academic Press, 1977).

  26. F. G. Mertens, W. Biem, and H. Hahn, Z. Physik 213, 33 (1968).

    Google Scholar 

  27. H. F. P. Knaap and J. J. M. Beenakker, Physica 27, 523 (1961).

    Google Scholar 

  28. A. B. Harris, Phys. Rev. B 1, 1881 (1970).

    Google Scholar 

  29. R. W. Hill and O. V. Lounasmaa, Phil Mag. 4, 785 (1959).

    Google Scholar 

  30. G. Grenier and D. White, J. Chem. Phys. 40, 3015 (1964).

    Google Scholar 

  31. R. W. Hill and B. W. A. Ricketson, Phil. Mag. 45, 277 (1954).

    Google Scholar 

  32. A. J. Berlinsky and A. B. Harris, Phys. Rev. A 1, 878 (1970).

    Google Scholar 

  33. R. Jochemsen, A. J. Berlinsky, J. Caro, V. V. Goldman, and I. F. Silvera, in Proc. Intern. Conf. on Quantum Crystals, Fort Collins, Colorado, August 8–12 (1977), unpublished.

  34. A. F. Schuch, R. L. Mills, and D. A. Depatie, Phys. Rev. 165, 1032 (1968).

    Google Scholar 

  35. N. S. Sullivan and R. V. Pound, Phys. Lett. 39A, 23 (1972).

    Google Scholar 

  36. A. B. Harris, A. J. Berlinsky, and H. Meyer, Phys. Rev. B 7, 4720 (1973).

    Google Scholar 

  37. L. A. Weber, NASA SP-3088, NBSIR 74-374 (1975).

  38. C. A. Swenson, private communication.

  39. R. Schwalbe, private communication.

  40. I. F. Silvera, to be published.

  41. O. Bostanjoglo and R. Kleinschmidt, J. Chem. Phys. 46, 2004 (1967).

    Google Scholar 

  42. K. Clusius and E. Bartholomé, Z. Phys. Chem. (Leipzig) B30, 237 (1935).

    Google Scholar 

  43. R. L. Mills, J. L. Yarnell, and A. F. Schuch, in Low Temperature Physics—LT13 (Plenum Press, New York, 1973), Vol. 2, p. 203; J. L. Yarnell, R. L. Mills, and A. F. Schuch, Sov. J. Low Temp. Phys. 1, 366 (1975).

    Google Scholar 

  44. M. Nielsen, Phys. Rev. B 7, 1626 (1973).

    Google Scholar 

  45. K. F. Mucker, P. M. Harris, D. White, and R. A. Erickson, J. Chem. Phys. 49, 1922 (1968).

    Google Scholar 

  46. D. Ramm, H. Meyer, and R. L. Mills, Phys. Rev. B 1, 2763 (1970).

    Google Scholar 

  47. H. Meyer, private communication.

  48. P. J. Berkhout and I. F. Silvera, unpublished.

  49. A. Driessen, V. V. Goldman, and I. F. Silvera, unpublished.

  50. B. G. Udovidchenko and V. C. Manzhelii, J. Low Temp. Phys. 3, 429 (1970).

    Google Scholar 

  51. R. Wanner and H. Meyer, J. Low Temp. Phys. 11, 715 (1973).

    Google Scholar 

  52. O. L. Anderson, J. Phys. Chem. Solids 27, 547 (1966).

    Google Scholar 

  53. R. L. Mills, D. H. Liebenberg, J. C. Bronson, and L. C. Schmidt, J. Chem. Phys. 66, 3076 (1977).

    Google Scholar 

  54. R. L. Mills, D. H. Liebenberg, and J. C. Bronson, J. Chem. Phys. 68, 2663 (1978).

    Google Scholar 

  55. V. V. Kechin, A. J. Likhter, Yu. M. Pavlyuchenko, L. Z. Ponizovskii, and A. N. Utyzh, Zh. Eksp. Teor. Fiz. 72, 345 (1977).

    Google Scholar 

  56. R. L. Mills, D. H. Liebenberg, and J. C. Bronson, unpublished.

  57. M. Nielsen, W. Ellenson, S. Shapirov, and K. Carneiro, Sov. J. Low Temp. Phys. 1, 371 (1975).

    Google Scholar 

  58. V. I. Grushko, V. I. Krainyukov, I. N. Krupskii, Yu. E. Stetsenko, and G. N. Shcherbakov, Sov. J. Low Temp. Phys. 3, 104 (1977).

    Google Scholar 

  59. W. B. Streett, Astrophys. J. 186, 1107 (1973).

    Google Scholar 

  60. N. G. Bereznyak, A. A. Scheinina, and L. V. Karnatsevich, Sov. J. Low Temp. Phys. 1, 376 (1976).

    Google Scholar 

  61. A. B. Harris and A. J. Berlinsky, Phys. Rev. B 16, 3791 (1977).

    Google Scholar 

  62. W. N. Hardy, A. J. Berlinsky, and A. B. Harris, Can. J. Phys. 55, 1150 (1977).

    Google Scholar 

  63. I. F. Silvera, W. N. Hardy, and J. P. McTague, Phys. Rev. B 4, 2724 (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by the Stichting FOM.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Driessen, A., de Waal, J.A. & Silvera, I.F. Experimental determination of the equation of state of solid hydrogen and deuterium at high pressures. J Low Temp Phys 34, 255–305 (1979). https://doi.org/10.1007/BF00117153

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00117153

Keywords

Navigation