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.
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References
M. Ross, J. Chem. Phys. 60, 3634 (1974).
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 on Quantum Cystals, Fort Collins, Colorado, August 8–12 (1977), unpublished; I. F. Silvera, A. Driessen, and J. A. de Waal, in press.
I. F. Silvera, in Proceedings LT14 (North-Holland, Amsterdam, 1975), Vol. 5, p. 123.
F. Simon, M. Ruheman, and W. A. M. Edwards, Z. Phys. Chem. B 6, 331 (1929).
R. L. Mills and E. R. Grilly, Phys. Rev. 101, 1246 (1956); 99, 480 (1955).
R. D. Goodwin and H. M. Roder, Cryogenics 3, 12 (1963).
R. F. Dwyer, G. A. Cook, O. E. Berwaldt, and H. E. Nevins, J. Chem. Phys. 43, 801 (1965).
B. A. Younglove, J. Chem. Phys. 48, 4181 (1968).
J. W. Stewart, J. Phys. Chem. Sol. 1, 146 (1956).
M. S. Anderson and C. A. Swenson, Phys. Rev. B 10, 5184 (1974).
S. C. Durana and J. P. McTague, J. Low Temp. Phys. 21, 21 (1975).
I. L. Spain and S. Segall, Cryogenics 11, 26 (1971).
W. F. Lewis, D. Benson, R. K. Crawford, and W. B. Daniels, J. Phys. Chem. Sol. 35, 383 (1974).
S. Alterovitz and D. E. Mapother, Rev. Sci. Instr. 45, 1528 (1974).
A. Driessen, P. J. Berkhout, and I. F. Silvera, to be published.
G. A. Cook, R. F. Dwyer, O. E. Berwaldt, and H. E. Nevins, J. Chem. Phys. 43, 1313 (1965).
N. Bignell, Cryogenics 13, 30 (1973).
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).
I. N. Krupskii, Yu. E. Stetsenko, and G. N. Shcherbakov, Sov. Phys.—JETP Lett. 23, 400 (1976).
N. G. Bereznyak and A. A. Sheinina, Fiz. Nizkikh Temp. 3, 804 (1977).
S. C. Durana and J. P. McTague, Phys. Rev. Lett. 31, 990 (1973).
J. F. Jarvis, H. Meyer, and D. Ramm, Phys. Rev. 178, 1461 (1969).
P. Pedroni, H. Meyer, F. Weinhaus, and D. Haase, Solid State Comm. 14, 279 (1974).
I. F. Silvera, W. N. Hardy, and J. P. McTague, Disc. Faraday Soc. 48, 54 (1969).
C. A. Swenson, in Rare Gas Solids, Vol. II, M. L. Klein and J. A. Venables, eds. (Academic Press, 1977).
F. G. Mertens, W. Biem, and H. Hahn, Z. Physik 213, 33 (1968).
H. F. P. Knaap and J. J. M. Beenakker, Physica 27, 523 (1961).
A. B. Harris, Phys. Rev. B 1, 1881 (1970).
R. W. Hill and O. V. Lounasmaa, Phil Mag. 4, 785 (1959).
G. Grenier and D. White, J. Chem. Phys. 40, 3015 (1964).
R. W. Hill and B. W. A. Ricketson, Phil. Mag. 45, 277 (1954).
A. J. Berlinsky and A. B. Harris, Phys. Rev. A 1, 878 (1970).
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.
A. F. Schuch, R. L. Mills, and D. A. Depatie, Phys. Rev. 165, 1032 (1968).
N. S. Sullivan and R. V. Pound, Phys. Lett. 39A, 23 (1972).
A. B. Harris, A. J. Berlinsky, and H. Meyer, Phys. Rev. B 7, 4720 (1973).
L. A. Weber, NASA SP-3088, NBSIR 74-374 (1975).
C. A. Swenson, private communication.
R. Schwalbe, private communication.
I. F. Silvera, to be published.
O. Bostanjoglo and R. Kleinschmidt, J. Chem. Phys. 46, 2004 (1967).
K. Clusius and E. Bartholomé, Z. Phys. Chem. (Leipzig) B30, 237 (1935).
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).
M. Nielsen, Phys. Rev. B 7, 1626 (1973).
K. F. Mucker, P. M. Harris, D. White, and R. A. Erickson, J. Chem. Phys. 49, 1922 (1968).
D. Ramm, H. Meyer, and R. L. Mills, Phys. Rev. B 1, 2763 (1970).
H. Meyer, private communication.
P. J. Berkhout and I. F. Silvera, unpublished.
A. Driessen, V. V. Goldman, and I. F. Silvera, unpublished.
B. G. Udovidchenko and V. C. Manzhelii, J. Low Temp. Phys. 3, 429 (1970).
R. Wanner and H. Meyer, J. Low Temp. Phys. 11, 715 (1973).
O. L. Anderson, J. Phys. Chem. Solids 27, 547 (1966).
R. L. Mills, D. H. Liebenberg, J. C. Bronson, and L. C. Schmidt, J. Chem. Phys. 66, 3076 (1977).
R. L. Mills, D. H. Liebenberg, and J. C. Bronson, J. Chem. Phys. 68, 2663 (1978).
V. V. Kechin, A. J. Likhter, Yu. M. Pavlyuchenko, L. Z. Ponizovskii, and A. N. Utyzh, Zh. Eksp. Teor. Fiz. 72, 345 (1977).
R. L. Mills, D. H. Liebenberg, and J. C. Bronson, unpublished.
M. Nielsen, W. Ellenson, S. Shapirov, and K. Carneiro, Sov. J. Low Temp. Phys. 1, 371 (1975).
V. I. Grushko, V. I. Krainyukov, I. N. Krupskii, Yu. E. Stetsenko, and G. N. Shcherbakov, Sov. J. Low Temp. Phys. 3, 104 (1977).
W. B. Streett, Astrophys. J. 186, 1107 (1973).
N. G. Bereznyak, A. A. Scheinina, and L. V. Karnatsevich, Sov. J. Low Temp. Phys. 1, 376 (1976).
A. B. Harris and A. J. Berlinsky, Phys. Rev. B 16, 3791 (1977).
W. N. Hardy, A. J. Berlinsky, and A. B. Harris, Can. J. Phys. 55, 1150 (1977).
I. F. Silvera, W. N. Hardy, and J. P. McTague, Phys. Rev. B 4, 2724 (1971).
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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
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DOI: https://doi.org/10.1007/BF00117153