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Translational and Rotational Diffusion Near the Glass Transition

  • H. Sillescu
  • E. Bartsch

Abstract

Diffusional transport is involved in most relaxation processes in condensed matter. In one component systems this transport is usually termed “self- diffusion” since the molecules move among themselves. Nevertheless some kind of labeling must be possible in order to observe “tracer” molecules moving relative to their neighbors. The best labels for self diffusion experiments are nuclear spin states used in the NMR methods described below. In all other techniques, the motion of the tracer molecules is somewhat different from that of the environment and should, strictly speaking, be termed “tracer-diffusion”. The corresponding self- or tracer-diffusion coefficients are related to the mean square displacement of the position r(t) by
$$D = \frac{{\lim }}{{t \to \infty }}\,\{ \langle [r(t) - r(0)]^2 \rangle /6t\} \,,$$
(3.1)

where the brackets denote the ensemble average. For rotational diffusion, the position r(i) is replaced by the orientation Q(t) of some molecule fixed with respect to a space fixed coordinate system.

Keywords

Glass Transition Mode Coupling Theory Static Structure Factor Weak Temperature Dependence Free Volume Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Abbreviations

DWF

Debye Waller factor

FRS

Forced Rayleigh scattering

KWW

Kohlrausch Williams-Watts

MCT

Mode coupling theory

OTP

Orthoterphenyl

PCS

Photon correlation spectroscopy

PMMA

Polymethylmethacrylate

RF

Radio frequency

TOF

Time of flight

VFT

Vogel Fulcher-Tammann

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • H. Sillescu
  • E. Bartsch

There are no affiliations available

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