Calculation of Elastic Small-Angle Neutron Scattering from Labeled Gels

  • Sonja Krause
  • Henri C. Benoît
  • Claude Picot


Crosslinked network polymers which have been labeled around the crosslinks are essentially triblock copolymers connected in groups of three or four at the ends. Although such networks are infinite in extent, it has been possible to calculate elastic small-angle neutron scattering (SANS) patterns for them after making reasonable assumptions about correlations in the networks. It is shown that the SANS from such crosslinked labeled networks is indistinguishable from the SANS of long-branched polymers made up of the same triblock copolymers. In fact, little difference is calculated between the SANS of the networks and the SANS of the constituent triblock copolymers. The calculated SANS of three different-long branched polymers are compared with the SANS of the triblock copolymer. It is shown that SANS of gels in which all of the crosslinks are labeled depends only on the extent of labeling and on the radius of gyration of the constituent block copolymer.


Short Path Polymer Network Monomer Unit Triblock Copolymer Small Angle Neutron Scattering 
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  1. 1.
    H. Benoît, D. Decker, R. Duplessix, C. Picot, P. Rempp, J.P. Cotton, B. Farnoux, G. Jannink and R. Ober, J. Polym. Sci. Polym. Phys. Ed., 14, 2119–2128 (1976).CrossRefGoogle Scholar
  2. 2.
    W. Wu and B.J. Bauer Polymer, 27, 169–180 (1986).CrossRefGoogle Scholar
  3. 3.
    W. Wu and B.J. Bauer, Macromolecules, 21, 457–464 (1988).CrossRefGoogle Scholar
  4. 4.
    H. Benoît, C. Picot and S. Krause, This Volume, (1988) paper preceding this one.Google Scholar
  5. 5.
    E.F. Casassa, J. Polym. Sci., A3, 605–614 (1965).Google Scholar
  6. 6.
    M. Benmouna and H. Benoit, J. Polym. Sci. Polym. Phys. Ed., 21, 1227–1242 (1983).CrossRefGoogle Scholar
  7. 7.
    H. Benoît, W. Wu, M. Benmouna, B. Mozer, B. Bauer and A. Lapp, Macromolecules, 18, 986–993 (1985).CrossRefGoogle Scholar
  8. 8.
    H. Benoit and G. Hadziioannou, Macromolecules, 21, 1449–1464 (1988).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • Sonja Krause
    • 1
  • Henri C. Benoît
    • 2
  • Claude Picot
    • 2
  1. 1.Department of ChemistryRensselaer Polytechnic InstituteTroyUSA
  2. 2.Institut Charles Sadron (CRM)StrasbourgFrance

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