The scattering function of ideal two-dimensional asymmetric pom–pom polymers

Abstract

The properties of ideal two-dimensional asymmetric pom–pom polymers containing 601–1263 units are investigated with a Monte Carlo growth method. The mean-square radii of gyration, various g-ratios, and scattering functions are calculated. A graph theory approach is employed to obtain exact scattering functions using a novel technique for counting paths in the graph representation of the polymers. All the simulation results are in very good agreement with theoretical predictions. Asymmetric pom–poms are more compact than symmetric ones and this is reflected in various g-ratios and the structure factor.