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Distribution of Retardation Times from the Photon Correlation Spectra of Glass Forming Systems

Polymer Journal volume 19, pages 441449 (1987) | Download Citation

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Abstract

For viscoelastic molecular and macromolecular systems near and above the glass transition temperature the distribution of retardation times L(logτ) can be determined by using the dynamic light scattering spectrum arising from slow density fluctuations. We use the CONTIN inverse Laplace transform (ILT) technique to extract the L(logτ) of the time correlation functions of pentachlorobiphenyl, poly(vinyl acetate) and poly(methyl methacrylate). For cases where the correlation function can be described by a single Kohlrausch-Williams-Watts (KWW) fractional exponential decay function the results obtained from numerical Laplace inversion of the KWW function and the ILT technique are identical. For poly(methyl methacrylate) however, the ILT technique seems to reveal more clearly the underlying structure of the correlation functions.

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Affiliations

  1. Max-Planck-Institut für Polymerforschung

    • J-U Hagenah
    • , G Meier
    • , G Fytas
    •  & E W Fischer

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DOI

https://doi.org/10.1295/polymj.19.441