## Molecular basis of polymer networks: proceedings of the 5th IFF-Ill Workshop, Jülich, Fed. Rep. of Germany, October 5-7, 1988The contributors to this volume appraise our knowledge of the molecular physics of polymer networks and pinpoint areas of research where significant advances can be made using new theories and techniques. They describe both theoretical approaches, based on new theoretical concepts and original network models, and recent experimental investigations using SANS, 2H NMR or QELS. These new techniques provide precise information about network behaviour at the molecular level. Reported results of the application of these and more traditional techniques include the microscopic conformation and properties of permanent networks or gels formed by specific interchain interactions, the behaviour of elastomer liquid crystals, and the static and dynamic properties of star-branched polymers. |

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Engineering Department, University of Massachusetts, Amherst, MA01003, USA

A theory of semidilute gels of

**Polyelectrolyte**Gels: Replica Theory M. Muthukumar Polymer Science andEngineering Department, University of Massachusetts, Amherst, MA01003, USA

A theory of semidilute gels of

**polyelectrolyte**chains is derived. Taking the bare ...Page 30

(i) First consider an isolated

variational calculation^) in three dimensions shows that the mean square end-to-

end distance <R^> of the chain is given by <R2> = L0*, (10) where 1 U *ij 45U; ...

(i) First consider an isolated

**polyelectrolyte**chain with interaction given in (2). Avariational calculation^) in three dimensions shows that the mean square end-to-

end distance <R^> of the chain is given by <R2> = L0*, (10) where 1 U *ij 45U; ...

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Also notice that (24) reduces to the free energy of semidilute

solutions of (17) when Nc = 0. 4. Conclusions A complete theory of

Manning condensation ...

Also notice that (24) reduces to the free energy of semidilute

**polyelectrolyte**solutions of (17) when Nc = 0. 4. Conclusions A complete theory of

**polyelectrolyte**gels is attempted by ignoring the entanglement effects, theManning condensation ...

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### Contents

Remarks | 2 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

FluctuationInduced Deformation Dependence of the FloryHuggins | 35 |

Copyright | |

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anisotropy Basis of Polymer Bastide behaviour blends calculated carrageenan chain segments Chem chemical chemical potential configuration conformation constant constraints corresponding crosslinking curves deformation density dependence deswelling deuterated deviatoric distribution dynamics Editors effect elastic free energy elementary strand elongation entanglements entropy equation equilibrium excluded volume experimental experiments exponent factor Flory Flory-Huggins fluctuations fractal dimension free chains free energy Gaussian gelation Gennes increases interaction parameter isotropic labelled paths length linear Macromolecules macroscopic measurements melt modulus Molecular Basis molecular weight monomers network chains neutron scattering observed obtained P.G. de Gennes PDMS chains phantom network Phys Picot polyelectrolyte Polymer Networks polymeric fractals polystyrene Proceedings in Physics properties radius of gyration ratio reptation rod network Rouse model rubber elasticity sample scaling solution solvent Springer Proceedings star molecules star polymers structure surface swelling swollen temperature theory topological uniaxial values vector viscoelastic viscosity volume fraction