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Density dependence of the elastic constants of hcp hydrogen and deuterium

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Abstract

The elastic constants of hcp H2 and D2 are calculated for densities up to 10 cm3/mole (∼20 kbar at T = 4.2 K). An Isotropic pair potential is utilized in the computations and cubic anharmonic corrections are incorporated into the lattice dynamics. The results are compared with sound velocity, specific heat, and Brillouin and neutron scattering measurements.

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References

  1. I. F. Silvera, in Low Temperature Physics—LT 14, M. Krusius and M. Vuorio, eds. (North-Holland, Amsterdam, 1975), Vol. 5, p. 123.

    Google Scholar 

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

    Article  ADS  Google Scholar 

  3. A. Driessen, J. A. de Waal, and I. F. Silvera, J. Low Temp. Phys. 34, 255 (1979).

    Article  ADS  Google Scholar 

  4. I. F. Silvera and V. V. Goldman, J. Chem. Phys. 69, 4209 (1978).

    Article  ADS  Google Scholar 

  5. R. D. Etters, R. Danilowicz, and W. England, Phys. Rev. A 12, 2199 (1975).

    Article  ADS  Google Scholar 

  6. P. J. Berkhout and I. F. Silvera, Comm. Phys. 2, 109 (1977).

    Google Scholar 

  7. J. C. Raich and R. D. Etters, J. Low Temp. Phys. 6, 229 (1972).

    Article  ADS  Google Scholar 

  8. P. S. Hawke, T. J. Burgess, D. E. Duerre, J. G. Huebel, R. N. Keeler, H. Klapper, and W. C. Wallace, Phys. Rev. Lett. 41, 994 (1978).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. I. F. Silvera, W. N. Hardy, and J. P. McTague, Phys. Rev. B 5, 1578 (1972).

    Article  ADS  Google Scholar 

  11. P. J. Thomas, S. C. Rand, and B. P. Stoicheff, Can. J. Phys. 56, 1494 (1978).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  13. M. Nielsen and H. Bjerrum-Møller, Phys. Rev. B 3, 4383 (1971).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  16. G. Ahlers, J. Chem. Phys. 41, 86 (1964).

    Article  ADS  Google Scholar 

  17. R. J. Roberts and J. G. Daunt, J. Low Temp. Phys. 6, 97 (1972); R. S. Roberts, E. Rojas, and J. G. Daunt, J. Low Temp. Phys. 24, 265 (1976).

    Article  ADS  Google Scholar 

  18. J. K. Krause, Ph.D. Thesis, Iowa State University, Ames, Iowa (1978), unpublished.

    Google Scholar 

  19. V. V. Goldman, J. Low Temp. Phys. 24, 297 (1976).

    Article  ADS  Google Scholar 

  20. V. V. Goldman, J. Low Temp. Phys. 26, 203 (1977).

    Article  ADS  Google Scholar 

  21. M. J. P. Musgrave, Proc. R. Soc. Lond. A 226, 339 (1954).

    Article  ADS  MathSciNet  Google Scholar 

  22. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Clarendon Press, Oxford, 1954).

    MATH  Google Scholar 

  23. R. J. Bell and I. J. Zucker, in Rare Gas Solids, M. L. Klein and J. A. Venables, eds. (Academic Press, London 1976), Vol. I, Chapter 2; J. A. Barker, Ibid., Chapter 4.

    Google Scholar 

  24. H. Horner, in Dynamical Properties of Solids, G. K. Horton and A. A. Maradudin, eds. (North-Holland, Amsterdam, 1974), Vol. I, Chapter 8.

    Google Scholar 

  25. M. L. Klein and R. D. Murphy, Phys. Rev. B 6, 2433 (1972).

    Article  ADS  Google Scholar 

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Goldman, V.V. Density dependence of the elastic constants of hcp hydrogen and deuterium. J Low Temp Phys 36, 521–529 (1979). https://doi.org/10.1007/BF00116982

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