Abstract
Raman scattering from the transverse optical phonon in the hcp phase of solid H2 and D2 has been observed as a function of the density of the solid. Frequencies have been measured, with an accuracy of 0.3 cm−1, in crystals under pressures up to 5000 bar at the melting line. A linear dependence of ln ΩTO on ln V is found (ΩTO is the phonon frequency and V the molar volume) with mode Grüneisen constants of γTO = 2.07 ± 0.03 for H2 and γTO = 1.95 ± 0.03 for D2. The ratio of the phonon frequencies of H2 and D2 at the same molar volume varies between 1.38 and 1.41 over the whole density range, in contrast to the harmonic ratio of √2 obtained from the mass ratio of 2 between H2 and D2. The results are compared with calculations of the phonon frequencies. A fit is provided so that phonon frequencies can be used as a pressure or density calibration scale.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. F. Silvera, in Proc. Conf. Low Temp. Phys. LT14 (North-Holland, 1975), Vol. 5, p. 123.
V. V. Goldman, unpublished.
I. F. Silvera and V. V. Goldman, J. Chem. Phys. 69, 4209 (1978).
A. Driessen, P. J. Berkhout, and I. F. Silvera, to be published.
A. Driessen, J. A. de Waal, and I. F. Silvera, J. Low Temp. Phys., 34, 255 (1979); I. F. Silvera, A. Driessen, and J. A. de Waal, Phys. Lett. 68A, 207 (1978).
M. S. Anderson and C. A. Swenson, Phys. Rev. B 10, 5184 (1974).
I. F. Silvera, P. J. Berkhout, and L. M. van Aernsbergen, J. Low Temp. Phys., accepted for publication.
I. F. Silvera, W. N. Hardy, and J. P. McTague, Phys. Rev. B 5, 1578 (1972).
M. Nielsen, Phys. Rev. B 7, 1626 (1973).
M. M. Thièry, D. Fabre, M. Jean-Louis, H. Vu, and B. Vodar, C. R. Acad. Sci. Paris 278B, 731 (1974).
R. Jochemsen, Thesis, University of Amsterdam (1978); and to be published.
G. Ahlers, J. Chem. Phys. 41, 86 (1964).
J. Krause and C. A. Swenson, private communication.
R. J. Roberts, E. Rojas, and J. G. Daunt, J. Low Temp. Phys. 24, 265 (1976).
R. E. Slusher and C. M. Surko, Phys. Rev. B 13, 1086 (1976).
V. V. Goldman, in Proc. Conf. Low Temp. Phys. LT 14 (North-Holland, 1975).
Author information
Authors and Affiliations
Additional information
Supported financially by the Stichting FOM.
Rights and permissions
About this article
Cite this article
Berkhout, P.J., Silvera, I.F. Density dependence of the Raman-active optical phonon in the hcp phase of solid H2 and D2 . J Low Temp Phys 36, 231–240 (1979). https://doi.org/10.1007/BF00174920
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00174920