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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References
B. Berne and R. Pecora, “Dynamic Light Scattering,” Wiley, New York, N.Y., (1976).
S. H. Chen, B. Chu, and R. Nossal, (Ed.), “Scattering Techniques Applied to Supramolecular and Nonequilibrium Systems,” Plenum Press, New York, N. Y., 1981.
B. Dahneke (Ed.), “Measurement of Suspended Particles by Quasi-Elastic Light Scattering,” Wiley, New York, N.Y., 1983.
R. S. Stock and W. H. Ray, J. Polym. Sci., Polym. Phys. Ed., 23, 1393 (1985).
G. D. Patterson, “Photon Correlation Spectroscopy in Advances in Polymer Science, Vol. 48, Springer, Berlin, 1983.
C. H. Wang and E. W. Fischer, J. Chem. Phys., 82, 632 (1985).
G. Fytas, C. H. Wang, G. Meier, and E. W. Fischer, Macromolecules, 18, 1492 (1985).
J. E. McKinney and H. V. Belcher, J. Res. Natl. Bur. Stand., 67A, 43 (1963).
P. J. Carroll and G. D. Patterson, J. Chem. Phys., 82, 9 (1985).
G. Fytas, C. H. Wang, E. W. Fischer, and K. Mehler, J. Polym. Sci., Polym. Phys. Ed., (1986).
S. W. Provencher, Computor Phys. Commun., 27, 213 (1982).
J. D. Ferry, “Viscoelastic Properties of Polymers,” 3rd ed., Wiley, New York, N.Y., 1980.
H. Pollard, Bull. Am. Math. Soc., 52, 908 (1946).
H. Helfand, J. Chem. Phys., 78, 1931 (1983).
G. D. Patterson, J. R. Stevens, and C. P. Lindsey, J. Macromol. Sci-Phys., B18, 649 (1980).
G. Meier, G. Fytas, and Th. Dorfmüller, Macromolecules, 17, 957 (1984).
C. H. Wang, G. Fytas, D. Lilge, and Th. Dorfmüller, Macromolecules, 14, 1363 (1981).
G. Fytas, C. H. Wang, D. Lilge, and Th. Dorfmüller, J. Chem. Phys., 75, 4247 (1981).
U. L. Ngai, Comments Solid State Phys., 9, 127 (1979).
U. L. Ngai, Comments Solid State Phys., 9, 141 (1980).
A. Blumen, J. Klafter, and G. Zumofen, “Fractals in Physics, L. Pietronero and E. Tosatti, Ed., Elsevier Science Publishers, Amsterdam, 1986, p 399.
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Hagenah, JU., Meier, G., Fytas, G. et al. Distribution of Retardation Times from the Photon Correlation Spectra of Glass Forming Systems. Polym J 19, 441–449 (1987). https://doi.org/10.1295/polymj.19.441
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DOI: https://doi.org/10.1295/polymj.19.441