Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Micro- and macroconformation of macromolecules

5. A scale-up rule of rouse theory to entangled homopolymers and random copolymers

  • 12 Accesses


A semiempirical modification of FERRY's extension of the ROUSE spectrum in the entanglement region is proposed, with a smooth transition in the relaxation behaviour. Consequently the zero shear viscosity-molecular weight relationship is modelled. With the molecular weight between the entanglements as the only parameter measurements on cis- 1, 4-polybutadiene could be reproduced accurately, comparing favourably with the recent multiparameter theory by SHEN.

A simple linear weighting scheme for the average friction coefficient of chemical and configurational copolymers, e. g. cis-trans-polybutadienes, is proposed.

This is a preview of subscription content, log in to check access.


  1. 1.

    ROUSE, P. E., J. Chem. Phys. 21, 1272 (1953)

  2. 2.

    BUECHE, F., J. Chem. Phys. 22, 603 (1954)

  3. 3.

    ZIMM, B. H., J. Chem. Phys. 24, 269 (1956)

  4. 4.

    BUECHE, F., J. Appl. Phys. 26, 738 (1955)

  5. 5.

    DE GENNES, P. G., J. Chem. Phys. 55, 572 (1971)

  6. 6.

    DOI, M. and EDWARDS, S. F. J. Chem. Soc., Faraday Trans. II, 75, 38 (1979)

  7. 7.

    FERRY, J. D., LANDEL, R. F. and WILLIAMS, M. L. J. Appl. Phys. 26, 359 (1955)

  8. 8.

    ZIABICKI, A., Macromolecules 7, 501 (1974)

  9. 9.

    HONG, S. D., SOONG, D. and SHEN, M. J. Appl. Phys. 48, 4019 (1977)

  10. 10.

    ALVAREZ, G. A., CANTOW, H.- J. and MÖLLER, M. Polymer Bull. 2, 743 (1980)

  11. 11.

    ALVAREZ, G. A., CANTOW, H.- J. and SCHNEIDER, H. A. Preprint IUPAC Conference on Polymer Networks, Karlovy Vary, CSSR, 1980

Download references

Author information

Additional information

Herrn Prof. Dr. Helmut Holzer zu seinem 60. Geburtstag gewidmet

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Alvarez, G.A., Cantow, H. Micro- and macroconformation of macromolecules. Polymer Bulletin 4, 383–390 (1981). https://doi.org/10.1007/BF00254969

Download citation


  • Polymer
  • Molecular Weight
  • Friction Coefficient
  • Macromolecule
  • Material Processing