A theoretical study is presented of the lattice dynamics of the cubic phases of solid hydrogen and deuterium as a function of density. The calculations are performed in the self-consistent phonon approximation and include cubic three-phonon processes and higher anharmonic corrections. The anisotropic part of the intermolecular potential is neglected and libronic effects are not included. The line shape of the one-phonon far-infrared absorption process is studied in detail and is found to display a complex and interesting behavior as a function of pressure. The experimental absorption line is well accounted for by the one-phonon line shapes calculated here and phonon-libron and multi-phonon absorption, which has been treated elsewhere. Phonon dispersion curves and elastic constants are also presented.
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W. N. Hardy, I. F. Silvera, K. N. Klump, and O. Schnepp, Phys. Rev. Lett. 21, 291 (1968).
R. Jochemsen, A. J. Berlinsky, V. V. Goldman, and I. F. Silvera, Comm. Phys. 2, 181 (1977).
R. Jochemsen, A. J. Berlinsky, F. Verspaandonk, and I. F. Silvera, J. Low Temp. Phys. 32, 185 (1978).
R. Jochemsen, V. V. Goldman, and I. F. Silvera, J. Low Temp. Phys. 36, 243 (1979).
R. Jochemsen, V. V. Goldman, and I. F. Silvera, Phys. Lett. 70A, 337 (1979).
E. L. Pollock, T. A. Bruce, G. V. Chester and J. A. Krumhansl, Phys. Rev. B 5, 4180 (1972).
V. V. Goldman, in Proc. 14th Int. Conf. Low Temp. Phys. (North-Holland, Amsterdam, 1975), Vol. 4, p. 411.
C. F. Coll, III and A. B. Harris, Phys. Rev. B 4, 2781 (1971).
F. G. Mertens and W. Biem, Z. Physik 250, 273 (1972).
A. F. Schuch, R. L. Mills, and D. A. Depatie, Phys. Rev. 165, 1032 (1968).
R. L. Mills, J. L. Yarnell, and A. F. Schuch in Low Temperature Physics—LT13, K. D. Timmerhaus, W. J. O'Sullivan, and E. F. Hammel, eds. (Plenum Press, 1974), Vol. 2, p. 203.
W. Götze and K. H. Michel, in Dynamical Properties of Solids, G. K. Horton and A. A. Maradudin, eds. (North-Holland, 1974), Vol. I, Chapter 9.
A. H. Walmsley and J. A. Pople, Mol. Phys. 8, 345 (1964).
V. V. Goldman, Phys. Rev. B 20 (1979).
A. A. Maradudin and A. E. Fein, Phys. Rev. 128, 2589 (1962).
R. A. Cowley, Adv. Phys. 12, 421 (1963).
T. H. K. Barron and M. L. Klein in Dynamical Properties of Solids, G. K. Horton and A. A. Maradudin, eds. (North-Holland, 1974), Vol. I, Chapter 7.
T. R. Koehler, Phys. Rev. Lett. 17, 89 (1966).
Ph. Choquard, The Anharmonic Crystal (Benjamin, New York, 1967).
H. Horner, Z. Physik 205, 72 (1967).
M. L. Klein, G. K. Horton, and V. V. Goldman, Phys. Rev. B 2, 4995 (1970).
W. Götze and K. H. Michel, Z. Physik 217, 170 (1968).
V. V. Goldman, G. K. Horton, and M. L. Klein, Phys. Rev. Lett. 24, 1424 (1970).
T. R. Koehler, Phys. Rev. Lett. 22, 777 (1969).
J. Ruvalds, Phys. Rev. B 3, 3556 (1971).
I. F. Silvera and V. V. Goldman, J. Chem. Phys. 69, 4209 (1978).
G. Gilat and G. Dolling, Phys. Lett. 8, 304 (1964).
V. V. Goldman, G. K. Horton, T. H. Keil, and M. L. Klein, J. Phys. C 3, L33 (1970).
H. J. Maris, Phys. Lett. 17, 228 (1965).
K. N. Klump, O. Schnepp, and L. H. Nosanow, Phys. Rev. B 1, 2496 (1970).
H. Horner, in Dynamical Properties of Solids, G. K. Horton and A. A. Maradudin, eds. (North-Holland, 1974), Vol. I, Chapter 8.
E. R. Cowley and R. A. Cowley, Proc. Roy. Soc. Lond. 287, 259 (1965).
L. Bohlin, Sol. State Comm. 9, 141 (1971).
H. Horner, Phys. Rev. Lett. 25, 147 (1970).
H. Horner, J. Low Temp. Phys. 8, 511 (1972).
P. L. Leath and B. P. Watson, Phys. Rev. B 3, 4404 (1971).
A. K. McMahan and H. Beck, Phys. Rev. A 8, 3247 (1973).
I. F. Silvera, W. N. Hardy, and J. P. McTague, Phys. Rev. B 5, 1578 (1972).
P. A. Fleury, J. M. Worlock, and H. L. Carter, Phys. Rev. Lett. 30, 591 (1973).
R. K. Crawford, D. G. Bruns, D. A. Gallagher, and M. V. Klein, Phys. Rev. B 17, 4871 (1978).
C. M. Surko and R. E. Slusher, Phys. Rev. B 13, 1095 (1976).
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Partial financial support provided by the Dutch Foundation for Fundamental Research of Matter (FOM).
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Goldman, V.V. The phonon absorption line shape of solid molecular H2 and D2 as a function of density. J Low Temp Phys 38, 149–166 (1980). https://doi.org/10.1007/BF00115273
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DOI: https://doi.org/10.1007/BF00115273