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b
Fi g u re 7. 28:
A tetrafunctional network containing cyclics (heavy lines). Cyclics a and b were trapped
by linear chains that passed through them prior to end linking into a network structure.
1.00
0.0
0
250
Cyclic degree of polymerization
Figure 7.29:
Trapping efficiencies for cyclics as a function of cyclic size.
The first step is generation of a sufficient number of cyclic chains with the
desired degree of polymerization having the known geometric features
and conformational preferences. Matrix multiplication techniques
common to rotational isomeric state theory are useful in the regard. Up to
this point, the method is identical to that used to generate distribution
functions for a non-Gaussian approach to rubberlike elasticity. 380 In the
present application, however, a chain having an end-to-end distance less
than a threshold value is considered to be a cyclic. The coordinates of each
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