## 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 104

In the highly swollen state, however, the behavior is phantom like, with

components of molecular deformation obtained exactly from (7), and 0 = (3 <

r2cos24»0/<r2>0 - 1)/10 (9) where * is the angle between the probe and the

chain

In the highly swollen state, however, the behavior is phantom like, with

components of molecular deformation obtained exactly from (7), and 0 = (3 <

r2cos24»0/<r2>0 - 1)/10 (9) where * is the angle between the probe and the

chain

**vector**.Page 181

In addition, two

components 5y (j=l,M), and s=Zj=imA;, a column

Now consider the notation according to RUBIN et al.[6]: W is the reduced MxM

transition ...

In addition, two

**vector**operators are defined: Ai, a column**vector**withcomponents 5y (j=l,M), and s=Zj=imA;, a column

**vector**with components Sj=l, Vj.Now consider the notation according to RUBIN et al.[6]: W is the reduced MxM

transition ...

Page 186

2 "ij a (7) are measures of the orientation of r.op ,ne

of interacting atoms; in particular, if e,a - La/ra is uniformly distributed on the unit

sphere then <Yij(a)>sO. By symmetry, the stress is expected to be isotropic (T..

2 "ij a (7) are measures of the orientation of r.op ,ne

**vector**connecting the a pairof interacting atoms; in particular, if e,a - La/ra is uniformly distributed on the unit

sphere then <Yij(a)>sO. By symmetry, the stress is expected to be isotropic (T..

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### Contents

Remarks | 2 |

The BaumgartnerMuthukumar Effect in Networks | 11 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

Copyright | |

14 other sections not shown

### Other editions - View all

Molecular Basis of Polymer Networks: Proceedings of the 5th IFF-ILL Workshop ... Artur Baumgärtner,Claude E. Picot No preview available - 2011 |

### Common terms and phrases

42 Molecular Basis anisotropy Basis of Polymer Bastide behaviour C.E. Picot calculated carrageenan chain segments Chem chemical chemical potential conformation constant constraints correlations 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 Flory-Huggins theory fluctuations fractal dimension free chains free energy Gaussian gelation Gennes Heidelberg 1989 increases interaction parameter isotropic labelled paths length linear Macromolecules macroscopic measurements melt modulus molecular weight monomers network chains neutron scattering observed obtained orientation PDMS chains phantom network Phys polyelectrolyte Polymer Networks polymeric fractals polystyrene Proceedings in Physics radius of gyration ratio Rouse model rubber elasticity sample scaling solution solvent Springer Proceedings Springer-Verlag Berlin star molecules star polymers structure surface swelling swollen temperature theory topological uniaxial values vector viscoelastic viscosity volume fraction