Abstract
The glassy behaviour of the thermal conductivities of structure I xenon and structure II hydrate at high temperature are found to be described surprisingly well by a localized oscillator model. This observation leads to the suggestion of strong coupling between the localized vibrations of the guest with the lattice acoustic phonons. This conjecture is confirmed by a phenomenological calculation using the Anderson-Fano resonant scattering model.
Similar content being viewed by others
References
D.W. Davidson: inWater — A Comprehensive Treatise, F. Frank, Ed., Plenum: New York, 1973; Vol. 2, pp. 115–234.
D.F. Sargent and L. Calvert:J. Phys. Chem. 70, 2689 (1966).
J.S. Tse, W.R. McKinnon, and M. Marchi,J. Phys. Chem. 91, 4188 (1987).
J.S. Tse:J. Incl. Phenom. 8, 25 (1990).
R.G. Ross, P. Anderssen, and G. Backström:Nature (London) 290, 322 (1981).
R.G. Ross and P. Anderssen:Can. J. Chem. 60, 881 (1982).
J.G. Cook and M.J. Laubitz:Proceedings of the 17th International Thermal Conductivity Conference, Gaitherburgs, MD (1981).
P. Anderssen, R.G. Ross, and G. Backström:J. Phys. C 10, 397 (1983).
T. Ashworth, L.R. Johson, and L. Lai:High Temp. High Press. 7, 413 (1985).
M.A. White:J. Phys. (Les Ulis, Fr.) C1, 565 (1987).
Y.P. Handa and J.G. Cook:J. Phys. Chem. 91, 6327 (1987).
J.S. Tse and M.A. White:J. Phys. Chem. 92, 5008 (1988).
J.A. Reissland:Physics of Phonons, John Wiley and Sons Ltd., London (1973).
J.S. Tse, M.L. Klein, and I.R. McDonald:J. Chem. Phys. 78, 2096 (1983).
J.S. Tse, M.L. Klein, and I.R. McDonald:J. Phys. Chem. 87, 4198 (1983).
J.S. Tse, M.L. Klein, and I.R. McDonald:J. Chem. Phys. 81, 6146 (1984).
J.S. Tse and M.L. Klein:J. Phys. Chem. 91, 5789 (1987).
R.O. Pohl:Phys. Rev. Lett. 8, 481 (1962).
W.D. Seward and V. Narayanamurti:Phys. Rev. 148, 463 (1966).
J.J. De Yoreo, W. Knaak, M. Meissmer, and R.O. Pohl:Phys. Rev. B 34, 8829 (1986).
M.N. Wybourne, B.J. Kiff, and D.N. Batchelder:Phys. Rev. Lett. 53, 580 (1984).
A. Einstein:Ann. Phys. 22, 180 (1907).
G.A. Slack: inSolid State Physics, F. Seitz and D. Turnbull, Eds., Academic Press, New York, Vol. 34, p. 57.
D.G. Cahill and R.O. Pohl:Ann. Rev. Phys. Chem. 39, 93 (1988).
D.G. Cahill and R.O. Pohl:Solid State Commun. 70, 927 (1989).
G.D. Mahan:Many-Particle Physics, Plenum Press, New York (1981).
U. Fano:Phys. Rev. 124, 1866 (1961).
P.W. Anderson:Phys. Rev. 124, 41 (1961).
The equilibrium position of the guest in the hydrate is centrosymmetric and only even terms are present in the polynomial expansion of the force field, see P.M. Rodger:J. Phys. Chem. 93, 6850 (1989).
Y.P. Handa and J.S. Tse:J. Phys. Chem. 90, 5917 (1986).
P.V. Hobbs:Ice Physics, Oxford University Press, London (1974).
P.H. Gammon, H. Kiefte, and M.J. Clouter:J. Phys. Chem. 87, 4025 (1983).
M. Bathe, S. Vagle, G.A. Saunders, and E.F. Lambson:J. Mater. Sci. Lett. 3, 904 (1984).
M.W.C. Dharma-wardana:J. Phys. Chem. 87, 4185 (1983).
R.K. McMullan and G.A. Jeffrey:J. Chem. Phys. 42, 2725 (1965).
T.C.W. Mak and R.K. McMullan:J. Chem. Phys. 42, 2732 (1965).
F. Liebau, H. Gies, R.P. Gunawardane, and B. Marler:Zeolites 6, 93 (1986).
J.S. Tse, M. Desando, J.A. Ripmeester, and Y.P. Handa:J. Amer. Chem. Soc. 115, 281 (1993).
H. Gies:Z. Krist. 175, 93 (1986).
A.A. Maradudin, E.W. Montroll, G.H. Weiss, and I.P. Ipatova:Solid State Physics, Supplement 3, 2nd edition, Academic Press, New York (1971).
R.J. Rubin:J. Phys. Rev. B131, 964 (1963).
Author information
Authors and Affiliations
Additional information
Published as NRCC 37248.
Rights and permissions
About this article
Cite this article
Tse, J.S. Localized oscillators and heat conduction in clathrate hydrates. J Incl Phenom Macrocycl Chem 17, 259–266 (1994). https://doi.org/10.1007/BF00708785
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00708785