论文信息 - Theory of Dielectric Relaxation in Polar Liquids

Theory of Dielectric Relaxation in Polar Liquids

The theory of dielectric relaxation in a model polar liquid is developed and applied to experimental data. The model is a spherical Onsager cavity, with a uniform dielectric background described by the high frequency limit e∞ and containing a permanent point dipole. The dipole moment undergoes rotational Brownian motion in the cavity. Dielectric friction on the rotating dipole is taken into account and leads to a frequency‐dependent relaxation time. Earlier theoretical results, obtained first by Klug, Kranbuehl, and Vaughn and by Fatuzzo and Mason, are rederived. When the rotational Brownian motion is spherically isotropic, approximate Debye relaxation is found. When the rotational Brownian motion of the dipole is restricted to a constant angle with respect to some fixed axis, approximate Davidson–Cole relaxation is found. Experimental data on glycerol and i‐amylbromide are analyzed this way.

Robert Zwanzig | R. Zwanzig | T. Nee | Tsu‐Wei Nee

[1] R. Zwanzig,et al. Time-Correlation Functions and Transport Coefficients in Statistical Mechanics , 1965 .

[2] J. G. Powles,et al. Dielectric Relaxation and the Internal Field , 1953 .

[3] B. Scaife. LETTERS TO THE EDITOR Frequency dependence of the relative permittivity of polar substances , 1964 .

[4] R. Cole,et al. Dielectric Properties of Liquid Isoamyl Bromide at Low Temperatures , 1968 .

[5] H. Bolton. The Variation of the Complex Dielectric Constant with Frequency , 1948 .

[6] R. Kubo. The fluctuation-dissipation theorem , 1966 .

[7] D. Klug,et al. Molecular Correlation Functions and Dielectric Relaxation , 1969 .

[8] E. Fatuzzo,et al. A theory of dielectric relaxation in polar liquids , 1967 .

[9] S. Glarum,et al. Dielectric Relaxation of Polar Liquids , 1960 .

[10] R. Cole. Dielectric Absorption in Polar Media and the Local Field , 1938 .

[11] A. Maradudin,et al. Theory of dielectrics , 1949 .

[12] D. J. Denney. Dielectric Properties of Some Liquid Alkyl Halides , 1957 .

[13] R. Cole,et al. Dielectric Relaxation in Glycerol, Propylene Glycol, and n‐Propanol , 1951 .

[14] Ryogo Kubo,et al. STOCHASTIC LIOUVILLE EQUATIONS , 1963 .

[15] J. Kirkwood. The Dielectric Polarization of Polar Liquids , 1939 .

[16] E. Fatuzzo,et al. A calculation of the complex dielectric constant of a polar liquid by the librating molecule method , 1967 .

[17] R. Zwanzig. Dielectric Friction on a Rotating Dipole , 1963 .