Gel/dose curves for polymers undergoing simultaneous cross-linking and scission

This paper analyses the effect of molecular weight distribution on the relation between sol fraction s and absorbed dose D of ionising radiation. The usual Charlesby-Pinner relation with random cross-linking and scission was derived for the most probable initial molecular weight distribution (M-barw:M-barn = 2), but is frequently used for very different distribution, to which it is not applicable. A modified version of this relation is presented for such other distribution, to which is it not applicable. A modified version of this relation is presented for such other distribution, involving a virtual additional dose Dg. Its success is assessed by comparing it with published experimental data for a number of polymers. The paper also compares these data with the empirical Zhang-Wanxi equation. (author)