Molecular Basis of Polymer Networks: Proceedings of the 5th IFF-ILL Workshop, Jülich, Fed. Rep. of Germany, October 5–7, 1988Artur Baumgärtner, Claude E. Picot The workshop on the "Molecular Basis of Polymer Networks", held October 5- 7, 1988 in 1iilich, FRG, continued a series of workshops jointly organized by the Institute Laue Langevin (ILL) in Grenoble, and the Institute of Solid State Physics of the KFA, 1iilich. The aim of this workshop was to provide a platform for discussions between theoreticians and experimentalists interested in the physics of polymer networks, in the hope that the two types of discussion would be synergistic. As revealed by the title of this workshop, the main focus of the lectures was on molecular aspects of the problem. The individual parts of these proceedings cover various approaches. Following quite general comments from a physicist examining the situation from "outside", various new theoretical concepts are developed. During the last decade the advent of Small Angle Neutron Scattering (SANS) has allowed the molecular structure of polymer networks to be studied and thus the reliability of the theories to be tested directly at the molecular level. Recent advances in this field are presented. The use of new techniques such as 2H NMR or QELS and the refinements of more classical, mechanical experimental measure ments have provided new information about the relation between the macroscopic behavior and the microscopic structure of polymer networks. Some recent results in this area are discussed for both chemically cross-linked networks and gels built by specific interchain interactions. |
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Page 133
... free energy is diminished [ 5 ] by a factor ( Ro / RG ) 2 as individual coils swell from their unper- turbed value Ro . This factor , which varies as 1/4 , might be expected to alter the free energy of the swollen network , and hence ...
... free energy is diminished [ 5 ] by a factor ( Ro / RG ) 2 as individual coils swell from their unper- turbed value Ro . This factor , which varies as 1/4 , might be expected to alter the free energy of the swollen network , and hence ...
Page 135
... free energy associated with the separation of the distance between the end - points of this superchain , Rs , is given by [ 8 ] Fel ( gel ) = 3KT ( B2-1 ) / 2 ( 4 ) where ẞ = Rs / Rso , and Rso is the nearest spatial neighbour distance ...
... free energy associated with the separation of the distance between the end - points of this superchain , Rs , is given by [ 8 ] Fel ( gel ) = 3KT ( B2-1 ) / 2 ( 4 ) where ẞ = Rs / Rso , and Rso is the nearest spatial neighbour distance ...
Page 173
... free en- ergy of the form F = F ( M , λ , qo ) . Minimizing the free energy with respect to the varia- tional parameter determines qo . In the case of flexible chains qo turns out to be qo = 1 / < R > , i.e. the inverse of the mean ...
... free en- ergy of the form F = F ( M , λ , qo ) . Minimizing the free energy with respect to the varia- tional parameter determines qo . In the case of flexible chains qo turns out to be qo = 1 / < R > , i.e. the inverse of the mean ...
Contents
Remarks | 2 |
The BaumgärtnerMuthukumar Effect in Networks | 11 |
Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |
Copyright | |
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anisotropy Basis of Polymer Bastide Baumgärtner behaviour calculated carrageenan chain segments Chem chemical chemical potential concentration conformation constraints corresponding crosslinking curves deformation density dependence deswelling deuterated distribution dynamics Editors Edwards 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 helix Herz 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 polybutadiene polyelectrolyte Polymer Networks polymeric fractals Proceedings in Physics radius of gyration ratio relaxation Rouse model rubber elasticity sample scaling solution solvent Springer Proceedings star molecules structure swelling swollen temperature theory topological uniaxial values vector Vilgis viscoelastic volume fraction