Contraction effects in ideal networks of flexible chains

Abstract

The mean‐square distances between various points of regular Gaussian networks are calculated using a new electrical analog and solving exactly a set of difference equations both in two and in three variables through an appropriate Fourier lattice transformation. The results show that the mean‐square radius of gyration of the network is of the same order of magnitude as that of a single chain for networks having a three‐dimensional connectivity, while it increases logarithmically with the total number of chains for networks having a two‐dimensional connectivity.