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Light scattering and dielectric studies on glass forming liquids

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  • Fischer, E.W.

Abstract

The α-relaxation behaviour of polymers and glass forming viscous liquids is well described by the Vogel-Fulcher-Tammann equation, introducing a Vogel temperature T0 at which the relaxation time τα diverges (T0 ≈ Tg - 50 K). With the recent development of the mode coupling theory a new critical temperature Tc is introduced located about 50 to 80 K above Tg. The relevance of the various temperatures is discussed on the basis of dynamic light scattering studies and dielectric relaxation data. The dynamic and static light scattering experiments revealed some unexpected features, which cannot be explained on the basis of conventional liquid state theories: (1) In static light scattering the intensity I(q→0) is no longer proportional to the isothermal compressibility. (2) This excess scattering Iexc shows a strong q-dependence (q = (4πn/λ)sin(θ/2)) corresponding to a correlation length ξ in the range of 20–200 nm. (3) The Landau-Placzek ratio IRayleigh/2IBrillouin is much too high, compared with the results of light scattering theories. (4) In photon correlation spectroscopy a new ultraslow hydrodynamic mode (Γ∼q2) is detected with relaxation rates Γ about 10-4 to 10-7 lower than those of the α-process at a given temperature.

Suggested Citation

  • Fischer, E.W., 1993. "Light scattering and dielectric studies on glass forming liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 183-206.
    • Handle: RePEc:eee:phsmap:v:201:y:1993:i:1:p:183-206
    DOI: 10.1016/0378-4371(93)90416-2
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    References listed on IDEAS

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    1. H. Goldstein, 1970. "Data Processing for Longitudinal Studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 19(2), pages 145-151, June.
    2. Steffen, W. & Meier, G. & Patkowski, A. & Fischer, E.W., 1993. "Depolarized light scattering spectroscopic study of OTP dynamics above Tg: a mode coupling analysis approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 300-304.
    3. Hsiao, C. & Mountain, D.C., 1993. "A Framework for Regional Modeling and Impact Analysis - An Analysis of the Demand for Electricity by Large Municipalities in Ontario, Canada," Papers 9317, Southern California - Department of Economics.
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