Fractal model of polymer electrolyte to investigate influence of high energy irradiation in molecular distribution and molar mass average

The present work is completely based on the theoretical investigation i.e. computer simulated study of the effect of gamma irradiation on the molecular weight distribution and the molar mass averages of solid polymer electrolytes which is relevant with the present trends of experimental works in this field. We propose a fractal model corresponding to polymer molecules by deterministic loop-less fractal (Vicsek). An initial un irradiated symmetrical molecular weight distribution has been considered. Application of high energy perturbation, for example gamma irradiation, affects the molecules mainly by two processes-scission and cross-linking of molecules which results morphological changes inside the system. A new parameter named as weight fraction, has been introduced to compare the structural modification of the sample with the experimental results. The four basic parameters representing the molar mass averages have been introduced in this context to analyze various structural properties such as intrinsic viscosity, number, weight and Z-average molecular weight etc. The results of our simulation work enables us an easy understanding about the nature of the response of solid polymer electrolyte to the external perturbation.