## 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 102

(CI + C(* - 2flU* - 1) - 6(0 - 2)]} <r2> (2) "J +(+ - 2)(* - l)d 0 where ARj is the

fluctuation of point j and <r2>0 is the mean-squared chain

From these, one obtains the mean-squared fluctuation <(Ar^j)2> of the

joining ...

(CI + C(* - 2flU* - 1) - 6(0 - 2)]} <r2> (2) "J +(+ - 2)(* - l)d 0 where ARj is the

fluctuation of point j and <r2>0 is the mean-squared chain

**vector**of the network.From these, one obtains the mean-squared fluctuation <(Ar^j)2> of the

**vector**r^-joining ...

Page 124

Therefore, in an unperturbed chain, the orientation and length of a

corresponding C-atoms of succeeding double bonds (Fig. 6) depends only on the

conformation of the bond triplet between the double bonds and on the ...

Therefore, in an unperturbed chain, the orientation and length of a

**vector**joiningcorresponding C-atoms of succeeding double bonds (Fig. 6) depends only on the

conformation of the bond triplet between the double bonds and on the ...

Page 186

... By is the Kroneckcr delta, o ranges over all pairs of atoms, r.0 is the

displacement between the o pair, ra = \t.a\, ua(ra) is the derivative of the potential

for this pair, y^ot) are the components of r.a with respect to the coordinate system

x,, ...

... By is the Kroneckcr delta, o ranges over all pairs of atoms, r.0 is the

**vector**displacement between the o pair, ra = \t.a\, ua(ra) is the derivative of the potential

for this pair, y^ot) are the components of r.a with respect to the coordinate system

x,, ...

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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

### 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 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