Fractal properties and swelling behavior of polymer networks

Sommer, J.-U.; Vilgis, T. A.; Heinrich, G.
June 1994
Journal of Chemical Physics;6/15/1994, Vol. 100 Issue 12, p9181
Academic Journal
The swelling pressure of randomly crosslinked polymer networks is related to the structural properties of the crosslink topology. Using the assumption that the network structure exhibits fractal properties within the correlation length ξ, a scaling relation between the swelling pressure and the polymer volume fraction has been derived. The exponent obtained depends on the internal fractal dimension di of the network and is in general different from the corresponding exponent for linear chains. The latter can be obtained as the special case di=1. As a consequence, a significant difference in mixing entropy between the networks and the corresponding uncrosslinked system is predicted. This explains the experimental results obtained by several authors, which are in contradiction to the Flory–Rehner assumption. Computer simulations based on the bond fluctuation model support the scaling predictions presented. The exponents obtained for the density dependence of the osmotic or swelling pressure are somewhat larger than expected from the theoretical work for both the linear and the crosslinked system.


Related Articles

  • Microphase separation of crosslinked polymer blends in solution. Benhamou, M.; Derouiche, A. // Journal of Chemical Physics;2/8/1997, Vol. 106 Issue 6, p2513 

    Focuses on a polymer blend made of two crosslinked polymers A and B of different chemical nature, in the presence of a common solvent assumed to be good for both species. Solvent effects on the microphase separation of the mixture; Calculation of the structure factor that enables the derivation...

  • A Monte Carlo study of the structural properties of end-linked polymer networks. Gilra, Nisha; Cohen, Claude; Panagiotopoulos, A. Z.; Panagiotopoulos, A.Z. // Journal of Chemical Physics;4/15/2000, Vol. 112 Issue 15 

    The formation and structural properties of end-linked polymer networks were studied in the framework of the bond fluctuation model on a three-dimensional simple cubic lattice. Only excluded volume interactions were considered between repeat units (monomers and cross-links). Networks were created...

  • Oil embargo.  // International Power Generation;May2002, Vol. 25 Issue 4, p25 

    Reports the use of cross-linked polyethylene (XLPE) cables and accessories in power utilities. Business performance of oil-filled market; Classification of voltage cables; Effect of oil-filled transition to XLPE in the maintenance.

  • Alternative polymer supports. Yadav, G.D. // Chemical Business;Feb2000, Vol. 14 Issue 2, p16 

    Focuses on the use of polystyrene cross-linked with divinyl-benzene as polymer support for catalysts and reagents. Other insoluble polymer supports; Soluble polymers.

  • Efficient poling and thermal crosslinking of randomly bonded main-chain polymers for stable.... Ranon, Peter M.; Yongqiang Shi; Steier, William H.; Chengzeng Xu; Bo Wu; Dalton, Larry R. // Applied Physics Letters;5/24/1993, Vol. 62 Issue 21, p2605 

    Examines second-harmonic generation study of a crosslinked main-chain polymer system for second-order nonlinear optics. Addition of a thermal crosslinker for polymer backbone crosslinking; Impact of flexible chain segments and crosslinking on nonlinearities alignment and stability; Methods for...

  • Effect of degree of cross-linking on spatial inhomogeneity in charged gels. Shibayama, Mitsuhiro; Ikkai, Fumiyoshi // Journal of Chemical Physics;10/1/1997, Vol. 107 Issue 13, p5227 

    Discusses the effect of degree of cross-linking on spatial inhomogeneity in charged gels. Analysis of the Rabin-Panyukov theory of scattering from polyelectrolyte gels; Prediction of an anomalous cross-link density dependence of amplitude; Effects of increasing the interaction parameter or...

  • Dynamics of inhomogeneous cross-linked polymers consisting of domains of different sizes. Gurtovenko, A. A.; Gotlib, Yu. Ya. // Journal of Chemical Physics;10/8/2001, Vol. 115 Issue 14 

    The theoretical approach is developed to describe the dynamics of inhomogeneous cross-linked polymers consisting of cross-link agglomerations. An inhomogeneous polymer is treated as an ensemble of noninteracting cross-linked regions (domains) of different sizes. We model an internal architecture...

  • Kinetics of Microphase Separation in Crosslinked Polymer Blend (abstract). Bettachy, A.; Benhamou, M.; Derouiche, A.; Fazni, A. // AIP Conference Proceedings;4/19/2009, Vol. 1119 Issue 1, p205 

    The solvent effect on the early kinetics of the microphase separation (MPS) in binary crosslinked polymer was studied. In the presence of a good solvent, calculations were done using first the random phase approximation method and second an extended blob model, where a crosslinked chain is...

  • Two-photon pumped partially cross-linked polymer laser. He, Guang S.; Kie-Soo Kim; Lixiang Yuan; Ning Cheng; Prasad, Paras N. // Applied Physics Letters;9/22/1997, Vol. 71 Issue 12, p1619 

    Investigates the two photon pumped (TPP) frequency upconverted lasing properties of a partially cross linked fluorescent polymer. Measurement of the spectral, temporal, spatial structures and the output/input characteristics of TPP cavity; Use of a 13 millimeter long polymer rod; Observation of...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics