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Self-diffusion of Liquid Hydrogen: A Quasi-elastic Neutron Scattering Study

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Abstract

We present quasi-elastic neutron scattering measurements of liquid normal hydrogen under saturated vapor pressure. Empirical estimates of the self-diffusion constant are generally in good agreement with previous nuclear magnetic resonance studies. We consider available theoretical calculations of the transport properties of liquid hydrogen as well as the applicability of the Stokes–Einstein relation to this quantum liquid.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. I.F. Silvera, Rev. Mod. Phys. 52, 393 (1980)

    Article  ADS  Google Scholar 

  2. C. Cazorla, J. Boronat, Rev. Mod. Phys. 89, 035003 (2017)

    Article  ADS  Google Scholar 

  3. M. Boninsegni, Phys. Rev. B 79, 174203 (2003)

    Article  ADS  Google Scholar 

  4. M. Celli, D. Colognesi, M. Zoppi, Eur. Phys. J. B 14, 239 (2000)

    Article  ADS  Google Scholar 

  5. C. Andreani, D. Colognesi, J. Mayers, G.F. Reiter, R. Senesi, Adv. Phys. 54, 377 (2005)

    Article  ADS  Google Scholar 

  6. Y. Yonetani, K. Kinugawa, J. Chem. Phys. 119, 9651 (2003)

    Article  ADS  Google Scholar 

  7. Y. Yonetani, K. Kinugawa, J. Chem. Phys. 120, 10624 (2004)

    Article  ADS  Google Scholar 

  8. T.D. Hone, G.A. Voth, J. Chem. Phys. 121, 6412 (2004)

    Article  ADS  Google Scholar 

  9. M. Pavese, G.A. Voth, Chem. Phys. Lett. 249, 231 (1996)

    Article  ADS  Google Scholar 

  10. T.F. Miller, D.E. Manolopoulos, J. Chem. Phys. 122, 184503 (2005)

    Article  ADS  Google Scholar 

  11. D.R. Reichman, E. Rabani, Phys. Rev. Lett. 87, 265702 (2001)

    Article  ADS  Google Scholar 

  12. M. Bloom, Physica 23, 237 (1957)

    Article  ADS  Google Scholar 

  13. M. Bloom, Physica 23, 278 (1957)

    Article  Google Scholar 

  14. W.P.A. Hass, G. Seidel, N.J. Poulis, Physica 26, 834 (1960)

    Article  ADS  Google Scholar 

  15. D.E. O’Reilly, E.M. Peterson, J. Chem. Phys. 66, 934 (1977)

    Article  ADS  Google Scholar 

  16. P.A. Egelstaff, B.C. Haywood, F.J. Webb, Proc. Phys. Soc. 90, 681 (1967)

    Article  ADS  Google Scholar 

  17. O. Suárez-Iglesias, I. Medina, M. de los Ángeles Sanz, C. Pizarrow, J.L. Bueno, J. Chem. Eng. Data 60, 2757 (2015)

    Article  Google Scholar 

  18. J.R.D. Copley, J.C. Cook, Chem. Phys. 292, 477 (2003)

    Article  Google Scholar 

  19. S. Lovesey, Theory of Neutron Scattering from Condensed Matter (Clarendon Press, Oxford, 1984)

    Google Scholar 

  20. J.A. Young, J.U. Koppel, Phys. Rev. 135, A603 (1964)

    Article  ADS  Google Scholar 

  21. R.J. Elliott, W.M. Hartmann, Proc. Phys. Soc. 90, 671 (1967)

    Article  ADS  Google Scholar 

  22. M. Zoppi, Phys. B 183, 235 (1993)

    Article  ADS  Google Scholar 

  23. W.D. Seiffert, B. Weckermann, R. Misenta, Z. Naturforsch. 25a, 967 (1970)

    Article  ADS  Google Scholar 

  24. K.B. Grammer, R. Alarcon, L. Barrón-Palos, D. Blyth, J.D. Bowman, J. Calarco, C. Crawford, K. Craycraft, D. Evans, N. Formin, J. Fry, M. Gericke, R.C. Gillis, G.L. Greene, J. Hmablen, C. Hayes, S. Kucuker, R. Mahurin, M. Maldonado-Vel’azques, E. Martin, M. McCrea, P.E. Mueller, M. Musgrave, H. Nann, S.I. Penttilä, W.M. Snow, Z. Tang, W.S. Wilburn, Phys. Rev. B. 91, 180301(R) (2015)

    Article  ADS  Google Scholar 

  25. https://www.nist.gov/ncnr/sample-environment/equipment/liquid-helium-cryostats/orange-cryostats

  26. V.F. Sears, Adv. Phys. 24, 1 (1975)

    Article  ADS  Google Scholar 

  27. R.T. Azuah, L.R. Kneller, Y. Qiu, P.L.W. Tregenna-Piggott, C.M. Brown, J.R.D. Copley, R.M. Dimeo, J. Res. Natl. Inst. Stand. Technol. 114, 341 (2009)

    Article  Google Scholar 

  28. P.C. Souers, Hydrogen Properties for Fusion Energy (University of California Press, Berkeley, 1986)

    Google Scholar 

  29. Y.Y. Milenko, R.M. Sibileva, M.A. Strzhemechny, J. Low Temp. Phys. 107, 77 (1997)

    Article  ADS  Google Scholar 

  30. M. Bée, Quasielastic Neutron Scattering (CRC Press, Boca Raton, 1988)

    Google Scholar 

  31. G. Hohler (ed.), Quasielastic Neutron Scattering for the Investigation of Diffusive Motions in Solids and Liquids (Springer, Berlin, 1972)

    Google Scholar 

  32. P.L. Hall, D.K. Ross, Mol. Phys. 42, 673 (1981)

    Article  ADS  Google Scholar 

  33. A. Cunsolo, G. Pratesi, D. Colognesi, R. Verbeni, M. Sampoli, F. Sette, G. Ruocco, R. Senesi, M.H. Krisch, M. Nardone, J. Low Temp. Phys. 129, 117 (2002)

    Article  ADS  Google Scholar 

  34. M. Celli, U. Bafile, G.J. Cuello, F. Formisano, E. Guarini, R. Magli, M. Neumann, M. Zoppi, Phys. Rev. B 71, 104205 (2005)

    Article  Google Scholar 

  35. D.E. Diller, J. Chem. Phys. 42, 2089 (1965)

    Article  ADS  Google Scholar 

  36. U. Balucani, M. Zoppi, Dynamics of the Liquid State (Clarendon Press, Oxford, 1995)

    Google Scholar 

  37. R. Zwanzig, J. Chem. Phys. 79, 4507 (1983)

    Article  ADS  Google Scholar 

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Acknowledgements

We acknowledge the support of the National Institute of Standards and Technology, U.S. Department of Commerce, in providing the neutron facilities used in this work. Support for Scott Hanna was provided by the Center for High Resolution Neutron Scattering, a partnership between the National Institute of Standards and Technology and the National Science Foundation under Agreement No. DMR-1508249. The authors are grateful to Craig Brown for scientific advice and discussion. We thank Juscelino Leo and Yegor Vekhov for their assistance with the cryogenics. Yoshiteru Yonetani and Kenichi Kinugawa kindly forwarded their theoretical results to us.

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Prisk, T.R., Hanna, S. & Azuah, R.T. Self-diffusion of Liquid Hydrogen: A Quasi-elastic Neutron Scattering Study. J Low Temp Phys 201, 451–462 (2020). https://doi.org/10.1007/s10909-020-02507-1

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