## 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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Page 181

Setting r=l, coj becomes Lj and it follows from (9a) that the equilibrium

for free segments is given by Since LJn is the probability of finding a site in layer i

divided by the probability of finding a site with a segment, the Pj's must be ...

Setting r=l, coj becomes Lj and it follows from (9a) that the equilibrium

**distribution**for free segments is given by Since LJn is the probability of finding a site in layer i

divided by the probability of finding a site with a segment, the Pj's must be ...

Page 182

A central quantity is P(s,i,r), the probability of finding a segment of rank s in layer i

for a chain containing r segments with the given start

obtained by extending the number of indices of the counting variable from one ...

A central quantity is P(s,i,r), the probability of finding a segment of rank s in layer i

for a chain containing r segments with the given start

**distribution**p(l). It is formallyobtained by extending the number of indices of the counting variable from one ...

Page 189

With the help of the probability

finally allows to determine the stress strain relation. This relation obviously

depends on the approximations involved in the derivation of the

functions.

With the help of the probability

**distribution**the free energy is obtained, whichfinally allows to determine the stress strain relation. This relation obviously

depends on the approximations involved in the derivation of the

**distribution**functions.

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### Contents

Remarks | 2 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

FluctuationInduced Deformation Dependence of the FloryHuggins | 35 |

Copyright | |

12 other sections not shown

### Common terms and phrases

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