Local Dynamics in Branched Polymers

  • V. Trappe
  • W. Burchard
Chapter
Part of the NATO ASI Series book series (ASHT, volume 40)

Abstract

The static and dynamic properties of four statistically branched systems at good solvent conditions have been investigated by light scattering. The q-dependence is analysed in terms of the particle scattering factor, the normalised apparent diffusion coefficient and the reduced first cumulant. The reduced first cumulant proved to be a sensitive measure of the internal mobility, and the information on the internal structure of the polymer can be deduced from this quantity. Also an interdependence of the static and dynamic quantities was recognised, which appears to be characteristic for the density of the systems.

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References

  1. 1.
    Rouse, P.E. (1953) A Theory of the Linear Viscoelastic Properties of Dilute Solutions of Coiling Polymers, J. Chem. Phys. 21, 1272–1280.ADSCrossRefGoogle Scholar
  2. 2.
    Zimm, B.H. (1956) Dynamics of Polymer Molecules in Dilute Solutions: Viscoelastisity, Flow Birefringence and Dielectric Loss, J. Chem. Phys. 24, 269–278.MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    Pecora, R. (1964) Doppler Shifts in Light Scattering from Pure Liquids and Polymer Solutions, J. Chem. Phys. 40, 1604–1614.ADSCrossRefGoogle Scholar
  4. 4.
    Pecora, R. (1965) Doppler Shifts in Light Scattering. II. Flexible Polymer Molecules, J. Chem. Phys. 43, 1562–1564.ADSCrossRefGoogle Scholar
  5. 5.
    Pecora, R. (1968) Spectral Distribution of Light Scattered from Flexible-Coil Macromolecules, J. Chem. Phys. 49, 1032–1035.ADSCrossRefGoogle Scholar
  6. 6.
    Wu, C., Chan K.K., and Xia K.Q. (1995) Experimental Study of the Spectral Distribution of the Light Scattered from Flexible Macromolecules in Very Dilute Solution, Macromolecules 28, 1032–1037.ADSCrossRefGoogle Scholar
  7. 7.
    de Gennes, P. G. (1967) Quasi-Elastic Scattering of Neutrons by Dilute Polymer Solutions: I. Free-Draining Limit, Physics 3, 37–45.Google Scholar
  8. 8.
    Dubois-Violette, E. and de Gennes, P. G. (1967) Quasi-Elastic Scattering by Dilute, Ideal, Polymer Solutions: H. Effects of Hydrodynamic Interactions, Physics 3, 181–198.Google Scholar
  9. 9.
    Akcasu, A. Z., Benmouna, M., and Han, C. C. (1980) Interpretation of Dynamic Scattering from Polymer Solutions, Polymer 21, 866–890.CrossRefGoogle Scholar
  10. 10.
    Akcasu, A.Z. and Gurol, H. (1976) Quasielastic Scattering by Dilute Polymer Solutions, J. Polym. Sci. /Polym. Phys. Ed. 14, 1–10.ADSCrossRefGoogle Scholar
  11. 11.
    Bixon, M. (1973) Dynamics of Polymer Molecules in Dilute Solutions, J. Chem. Phys. 58, 1459–1466.ADSCrossRefGoogle Scholar
  12. 12.
    Zwanzig, R. (1974) Theoretical Basis of the Rouse-Zimm Model in Polymer Solution Dynamics, J. Chem. Phys. 60, 2717–2720.ADSCrossRefGoogle Scholar
  13. 13.
    Mori, H. (1965) Transport, Collective Motion, and Brownian Motion, Prog. Theor. Phys 33, 423–455.ADSMATHCrossRefGoogle Scholar
  14. 14.
    Berne, B. J. and Pecora, R. (1976) Dynamic Light Scattering Chapt. 11, Wiley & Sons, New York.Google Scholar
  15. 15.
    Kirkwood, J.G. and Riseman, J. (1948) The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution, J. Chem. Phys. 16, 565–573.ADSCrossRefGoogle Scholar
  16. 16.
    Riseman, J. and Kirkwood, J.G. (1956) Rheology-Theory and Applications Chapt. 13, Academic Press, London and New York.Google Scholar
  17. 17.
    Benmouna, M. and Akcasu, A.Z. (1978) Temperature Effects on the Dynamic Structure Factor in Dilute Polymer Solutions, Macromolecules 11, 1187–1192.ADSCrossRefGoogle Scholar
  18. 18.
    Stauffer, D., Cognilio, A., and Adam, M. (1982) Gelation and Critical Phenomena, Adv. Polym. Sci. 44, 103–158.CrossRefGoogle Scholar
  19. 19.
    Stauffer, D. (1985) Introduction to Percolation Theory, Taylor & Francis, Philadelphia.MATHCrossRefGoogle Scholar
  20. 20.
    Flory, P.J. (1953) Principles in Polymer Chemistry Chapt. 9, Cornell University Press, Ithaca and London.Google Scholar
  21. 21.
    Erlander, S. and French, D. (1956) A Statistical Model for Amylopectin and Glycogen. The Condensation of A-R-Bt-1, Units, J. Polym. Sci. 20, 7–28.ADSGoogle Scholar
  22. 22.
    Burchard, W. (1977) Particle Scattering Factors of Some Branched Polymers, Macromolecules 10, 919–927.ADSCrossRefGoogle Scholar
  23. 23.
    Burchard, W. (1983) Static and Dynamic Light Scattering from Branched Polymers and Biopolymers, Adv. Polym. Sci. 48, 1–124.CrossRefGoogle Scholar
  24. 24.
    Galinsky, G. (1996) PhD: Effekt der Nichtstatistischen Verzweigung auf die Struktureigen-schaften der Stärke, Freiburg.Google Scholar
  25. 25.
    Adam, M. and Delsanti, M. (1977) Dynamical Properties of the Polymer Solutions in Good Solvent by Raleigh Scattering Experiments, Macromolecules 10, 1229–1237.ADSCrossRefGoogle Scholar
  26. 26.
    Han, C. C. and Akcasu, A. Z. (1981) Dynamic Light Scattering of Dilute Polymer Solutions in the Nonasymptotic q Region, Macromolecules 14, 1080–1084.ADSCrossRefGoogle Scholar
  27. 27.
    Tsunashima, Y., Nemoto, N., and Kurata, M. (1983) Dynamic Light Scattering Studies of Polymer Solutions. 2. Translational Diffusion and Intramolecular Motions of Polystyrene in Dilute Solutions at θ Temperature, Macromolecules 16, 1184–1188.ADSCrossRefGoogle Scholar
  28. 28.
    Nemoto, N., Makita, Y., Tsunashima, Y., and Kurata, M. (1984) Dynamic Light Scattering Studies of Polymer Solutions. 3. Translational Diffusion and Internal Motions of High Molecular Weight Polystyrenes in Benzene at Infinite Dilution, Macromolecules 17, 425–430.ADSCrossRefGoogle Scholar
  29. 29.
    Tsunashima, Y., Hirata, M., Nemoto, N., and Kurata, M. (1987) Dynamic Light Scattering Studies of Polymer Solutions. 5. Universal Behavior of Highly Swollen Chains at Infinite Dilution Observed for Polyisoprenes in Cyclohexane, Macromolecules 20, 1992–1999.ADSCrossRefGoogle Scholar
  30. 30.
    Tsunashima, Y., Hirata, M., Nemoto, N., Kajiwara, K., and Kurata, M. (1987) Dynamic Light Scattering Studies of Polymer Solutions. 6. Polyisoprenes in a 0-solvent, 1,4-Dioxan, Macromolecules 20, 2862–2866.ADSCrossRefGoogle Scholar
  31. 31.
    Wiltzius, P. and Cannell, D. S. (1986) Wave-Vector Dependence of the Initial Decay Rate of Fluctuations in Polymer Solutions, Phys. Rev. Lett 56/1, 61–64.ADSCrossRefGoogle Scholar
  32. 32.
    Bhatt, M. and Jamieson, A. M. (1988) Dynamic Light Scattering Studies of Polystyrene in Tetrahydrofuran at Intermediate Scattering Vectors, Macromolecules 21, 3015–3022.ADSCrossRefGoogle Scholar
  33. 33.
    Bhatt, M., Jamieson, A. M., and Petschek, R. G. (1989) Static and Dynamic Scaling Relationships in the Light Scattering Properties of Polystyrene in Good Solvents, Macromolecules 22, 1374–1380.ADSCrossRefGoogle Scholar
  34. 34.
    Burchard, W., Schmidt, M., and Stockmayer, W.H. (1980) Information on Polydispersity and Branching from Combined Quasi-Elastic and Integrated Scattering, Macromolecules 13, 1265–1272.ADSCrossRefGoogle Scholar
  35. 35.
    Trappe, V., Bauer, J., Weissmüller, M., and Burchard, W. (submitted) Angular Dependence in Static and Dynamic Light Scattering from Randomly Branched Systems, Macromolecules.Google Scholar
  36. 36.
    Galinsky, G. and Burchard, W. (submitted) Starch Fractions as Examples for Nonrandomly Branched Macromolecules. 4. Angular Dependence in Dynamic Light Scattering, Macromolecules.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1997

Authors and Affiliations

  • V. Trappe
    • 1
  • W. Burchard
    • 1
  1. 1.Institute of Macromolecular ChemistryUniversity of FreiburgFreiburgGermany

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