## 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 67

Thus we expect, from our estimate of the molecular weight between two

crosslinks, to be close to equilibrium for 1min at 150°C. Two other master

parameters are the elongation and the rate of crosslinking of each sample,

related to the maximum swelling

mixture of long chains, but not crosslinked, correspond to Q infinite. But when the

chains are long as here, a melt exhibits in its relaxation behaviour a rubbery

plateau regime, due to the ...

Thus we expect, from our estimate of the molecular weight between two

crosslinks, to be close to equilibrium for 1min at 150°C. Two other master

parameters are the elongation and the rate of crosslinking of each sample,

related to the maximum swelling

**ratio**in toluene, Q. The parent melt i.e. the samemixture of long chains, but not crosslinked, correspond to Q infinite. But when the

chains are long as here, a melt exhibits in its relaxation behaviour a rubbery

plateau regime, due to the ...

Page 69

(2) At intermediate q it is not possible to fit the scattering in the parallel direction

with the same value of M mesh as in the perpendicular direction, whatever the

elongation

is satisfactory for low elongation

become increasingly too large compared to the estimate. ln practice the

scattering in ...

(2) At intermediate q it is not possible to fit the scattering in the parallel direction

with the same value of M mesh as in the perpendicular direction, whatever the

elongation

**ratio**. Using two different values of MmeSh for the two directions the fitis satisfactory for low elongation

**ratios**(Fig.4). When increasing the elongation**ratio**, the values necessary for fitting the parallel direction increase slightly. Theybecome increasingly too large compared to the estimate. ln practice the

scattering in ...

Page 187

(6). 3. Results It is found at higher values of p that the value of Tu corresponding

to a given set of parameters is sensitive to the particular set of procedures (e.g.

choice of random seed) used to prepare the initial state. We take this to be an

indication that the system is more likely to be trapped in a restricted region of

configuration space for larger packing fractions. Nevertheless, in spite of these

variations in Tn, the

value of p.

(6). 3. Results It is found at higher values of p that the value of Tu corresponding

to a given set of parameters is sensitive to the particular set of procedures (e.g.

choice of random seed) used to prepare the initial state. We take this to be an

indication that the system is more likely to be trapped in a restricted region of

configuration space for larger packing fractions. Nevertheless, in spite of these

variations in Tn, the

**ratio**of t^/Tjj is found to be reasonably constant for a givenvalue of p.

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### Contents

Remarks | 2 |

The BaumgartnerMuthukumar Effect in Networks | 11 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

Copyright | |

13 other sections not shown

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### Common terms and phrases

42 Molecular Basis 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 effect elastic free energy elementary strand elongation entanglements entropy equation equilibrium excluded volume experimental experiments exponent Flory Flory-Huggins Flory-Huggins theory fluctuations fractal dimension free chains free energy Gaussian gelation Gennes helix increases interaction parameter isotropic labelled paths layer length linear Macromolecules macroscopic measurements melt micronetworks modulus molecular weight monomers network chains neutron scattering observed obtained PDMS chains phantom network Phys polybutadiene polyelectrolyte Polymer Networks polymeric fractals polystyrene Proceedings in Physics properties radius of gyration ratio rod network Rouse model rubber elasticity S.F. Edwards sample scaling solution solvent Springer Proceedings star molecules star polymers swelling swollen temperature theory topological uniaxial values vector viscoelastic viscosity volume fraction