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Elastic modulus and equilibrium swelling of polyelectrolyte gels

Publication ,  Journal Article
Rubinstein, M; Colby, RH; Dobrynin, AV; Joanny, JF
Published in: Macromolecules
1996

We present a scaling theory for the modulus G of polyelectrolyte gels as a function of strand length between cross-links, monomer concentration c, salt concentration cs, and preparation conditions (monomer concentration c0 and salt concentration cs°). The theory assumes affine displacement of the junction points when the concentration is changed. With no added salt (cs = cs° = 0), we predict a new concentration dependence of the modulus G c5/6. In the high-salt limit, we predict the usual concentration dependence for uncharged polymers but a novel dependence on salt concentration, G c7/12cs 1/4. We also predict the modulus to decrease as charge is added to the gel strands. The predicted effects of added salt and charge on modulus have recently been observed by Candau and co-workers. At low concentrations, we discuss the strong stretching of network strands and its effect on modulus and equilibrium swelling.

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Published In

Macromolecules

DOI

ISSN

0024-9297

Publication Date

1996

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences
 

Citation

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Rubinstein, M., Colby, R. H., Dobrynin, A. V., & Joanny, J. F. (1996). Elastic modulus and equilibrium swelling of polyelectrolyte gels. Macromolecules. https://doi.org/10.1021/ma9511917
Rubinstein, Michael, Ralph H. Colby, Andrey V. Dobrynin, and Jean Francois Joanny. “Elastic modulus and equilibrium swelling of polyelectrolyte gels.” Macromolecules, 1996. https://doi.org/10.1021/ma9511917.
Rubinstein M, Colby RH, Dobrynin AV, Joanny JF. Elastic modulus and equilibrium swelling of polyelectrolyte gels. Macromolecules. 1996;
Rubinstein, Michael, et al. “Elastic modulus and equilibrium swelling of polyelectrolyte gels.” Macromolecules, 1996. Manual, doi:10.1021/ma9511917.
Rubinstein M, Colby RH, Dobrynin AV, Joanny JF. Elastic modulus and equilibrium swelling of polyelectrolyte gels. Macromolecules. 1996;
Journal cover image

Published In

Macromolecules

DOI

ISSN

0024-9297

Publication Date

1996

Related Subject Headings

  • Polymers
  • 09 Engineering
  • 03 Chemical Sciences