Abstract
AbstractThe graph diameter D is correlated with the mean‐square radius of gyration Rg2 and is a useful measure to design and control the network architecture. The fraction d of segments located in the diameter chain, defined by d = D/ns, where ns is the total number of segments in the polymer, is investigated for various statistical network polymers. It is found that the relationship between d and the cycle rank r of the well‐developed statistical networks follows a master curve. As a convenient measure to define the well‐developed networks, the network maturity index (NMI) is proposed. The random crosslinked networks with NMI > 3 are considered well‐developed, but a larger value of NMI is required for the nonrandom, heterogeneous networks. With the help of prior knowledge of the relationship between Rg2 and D, the master curve for the relationship between the contraction factor g and r can also be determined.
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