Abstract
A model for collective rotational excitations (rotons) with angular momentumJ=3 in solid ortho-hydrogen and para-deuterium at low temperatures is proposed. The theory is an extension of previous Bloch-type models of librons in orthohydrogen and rotons in para-hydrogen. The present model gives fairly good agreement with the positions and relative intensities of the observed Raman lines. As is the case for the libron spectrum, a discrepancy between theory and experiment is found. Improvements of the theory, which may give better agreement with the observed Raman spectra, are discussed.
Similar content being viewed by others
References
S. Homma, K. Okada, and H. Matsuda,Progr. Theoret. Phys. (Kyoto)36, 1310 (1966);38, 769 (1967).
H. Ueyama and T. Matsubara,Progr. Theoret. Phys. (Kyoto)38, 784 (1967).
J. C. Raich and R. D. Etters,Phys. Rev. 168, 425 (1968).
F. G. Mertens, W. Biem, and H. Hahn,Z. Physik 213, 33 (1968);220, 1 (1969).
W. N. Hardy, I. F. Silvera, and J. P. McTague,Phys. Rev. Letters 22, 297 (1969).
H. M. James and J. C. Raich,Phys. Rev. 126, 649 (1967).
M. J. Clouter, H. P. Gush, and H. L. Welch, preprint.
J. Van Kranendonk,Physica 25, 1080 (1959).
J. Van Kranendonk,Can. J. Phys. 38, 240 (1960).
J. Van Kranendonk and G. Karl,Rev. Mod. Phys. 40, 531 (1968).
M. E. Rose,Elementary Theory of Angular Momentum (John Wiley and Sons, Inc., New York, 1957).
V. F. Sears and J. Van Kranendonk,Can. J. Phys. 42, 980 (1964).
M. Brith, A. Ron, and O. Schnepp,J. Chem. Phys. 51, 1318 (1969).
J. E. Cahill and G. E. Leroi,J. Chem. Phys. 51, 1324 (1969).
S. H. Walmsley and J. A. Pople,Mol. Phys. 8, 345 (1964).
M. Born and K. Huang,Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1954).
E. B. Wilson, Jr., J. C. Decius, and P. C. Cross,Molecular Vibrations (McGraw-Hill Book Co., New York, 1955).
Author information
Authors and Affiliations
Additional information
Supported by NSF Grant GP-9042.
Rights and permissions
About this article
Cite this article
Lee, R.J., Raich, J.C. & Etters, R.D. Calculation of theJ=3 roton spectrum of solid hydrogen and deuterium. J Low Temp Phys 2, 255–265 (1970). https://doi.org/10.1007/BF00628180
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00628180