By Denis Rousseau (Eds.)
Optical recommendations in organic Research
summary: Optical strategies in organic learn
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LIGHT SCATTERING 41 the data are of exponential (or Lorentzian) form. Polydispersity, rotation, internal motion, or other dynamic effects can add additional terms to the data, which make analysis exceedingly complex. A number of numerical and theoretical techniques have been employed for analysis of QELS data; we shall examine various approaches in the discussion of applications and the various effects that give rise to complication. E. Applications (Translational Diffusion) Quasi-elastic light scattering (QELS) is now a very widespread technique with a bountiful current literature.
KTbecomes very large, and the dominant source of dynamic scattering is the center-of-mass translocation of the polymer. At a scattering angle sufficiently high for 2π/Κίο be smaller than the domain of the polymer, intramolecular motions can be probed. Concentration ef fects may also be of great interest; when the concentration becomes suffi ciently high that the chains of different polymers becomes entangled, the dynamics become very sensitive to the degree of entanglement. The study of polymer segment dynamics through the use of QELS is a rapidly growing field of interest, but the great majority of QELS applications are in the study of synthetic polymers in the field of polymer physical chemistry.
The ensemble average is constructed as an average of phase factors of the form exp[— /K · R(T)] times the probability that if there is a particle at the origin at time zero, there will be a particle at point R at time τ. This probability function has already been defined as the Van Hove space - time correlation function G(R, τ). We therefore write the scattered field correlation function in the following way: C(K, τ) = NH2 βχρί-ιω 0 τ) I G(R, τ) exp(/K · R) d3R. (65) Equation (65) expresses a very general principle of radiation scattering.