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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The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
I.F. Silvera, Rev. Mod. Phys. 52, 393 (1980)
C. Cazorla, J. Boronat, Rev. Mod. Phys. 89, 035003 (2017)
M. Boninsegni, Phys. Rev. B 79, 174203 (2003)
M. Celli, D. Colognesi, M. Zoppi, Eur. Phys. J. B 14, 239 (2000)
C. Andreani, D. Colognesi, J. Mayers, G.F. Reiter, R. Senesi, Adv. Phys. 54, 377 (2005)
Y. Yonetani, K. Kinugawa, J. Chem. Phys. 119, 9651 (2003)
Y. Yonetani, K. Kinugawa, J. Chem. Phys. 120, 10624 (2004)
T.D. Hone, G.A. Voth, J. Chem. Phys. 121, 6412 (2004)
M. Pavese, G.A. Voth, Chem. Phys. Lett. 249, 231 (1996)
T.F. Miller, D.E. Manolopoulos, J. Chem. Phys. 122, 184503 (2005)
D.R. Reichman, E. Rabani, Phys. Rev. Lett. 87, 265702 (2001)
M. Bloom, Physica 23, 237 (1957)
M. Bloom, Physica 23, 278 (1957)
W.P.A. Hass, G. Seidel, N.J. Poulis, Physica 26, 834 (1960)
D.E. O’Reilly, E.M. Peterson, J. Chem. Phys. 66, 934 (1977)
P.A. Egelstaff, B.C. Haywood, F.J. Webb, Proc. Phys. Soc. 90, 681 (1967)
O. Suárez-Iglesias, I. Medina, M. de los Ángeles Sanz, C. Pizarrow, J.L. Bueno, J. Chem. Eng. Data 60, 2757 (2015)
J.R.D. Copley, J.C. Cook, Chem. Phys. 292, 477 (2003)
S. Lovesey, Theory of Neutron Scattering from Condensed Matter (Clarendon Press, Oxford, 1984)
J.A. Young, J.U. Koppel, Phys. Rev. 135, A603 (1964)
R.J. Elliott, W.M. Hartmann, Proc. Phys. Soc. 90, 671 (1967)
M. Zoppi, Phys. B 183, 235 (1993)
W.D. Seiffert, B. Weckermann, R. Misenta, Z. Naturforsch. 25a, 967 (1970)
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)
https://www.nist.gov/ncnr/sample-environment/equipment/liquid-helium-cryostats/orange-cryostats
V.F. Sears, Adv. Phys. 24, 1 (1975)
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)
P.C. Souers, Hydrogen Properties for Fusion Energy (University of California Press, Berkeley, 1986)
Y.Y. Milenko, R.M. Sibileva, M.A. Strzhemechny, J. Low Temp. Phys. 107, 77 (1997)
M. Bée, Quasielastic Neutron Scattering (CRC Press, Boca Raton, 1988)
G. Hohler (ed.), Quasielastic Neutron Scattering for the Investigation of Diffusive Motions in Solids and Liquids (Springer, Berlin, 1972)
P.L. Hall, D.K. Ross, Mol. Phys. 42, 673 (1981)
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)
M. Celli, U. Bafile, G.J. Cuello, F. Formisano, E. Guarini, R. Magli, M. Neumann, M. Zoppi, Phys. Rev. B 71, 104205 (2005)
D.E. Diller, J. Chem. Phys. 42, 2089 (1965)
U. Balucani, M. Zoppi, Dynamics of the Liquid State (Clarendon Press, Oxford, 1995)
R. Zwanzig, J. Chem. Phys. 79, 4507 (1983)
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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DOI: https://doi.org/10.1007/s10909-020-02507-1