Modeling of solid state polymer properties at the stage of synthesis: Fractal analysis

Abstract

The genetic relationship between the polymer structures in solution and the condensed state are discovered within the framework of fractal analysis. It allows us to predict and model the properties of polymers already at the stage of synthesis, using the representation of a cluster model of the amorphous polymer state. © 2002 Wiley Periodicals, Inc. J Appl Polym Sci 85: 1137–1140, 2002

Fractal kinetics of radical polymerization of dimethyl diallyl ammonium chloride

“…The reaction of synthesis is practically terminated at this stage. As shown in a previous study, 13 the fractal dimension of a macromolecular coil in solution D and condensed state (gel) d f are linked by the following relationship (for linear polymers):…”

Fractal model of the free volume of vitreous poly(vinyltrimethylsilane) from data on gas diffusion

“…The calculations with the use of relationship (12) lead to the following fractal dimensions: D r = 1.895 for the PVTMS polymer and D r = 1.855 for the PC polymer. The quantity d f can be calculated from the formula d f = 1.5D r [23].…”