Kinetics of the Photodimerization of Anthracene in an Inhomogeneous Polymer Matrix

The photodimerization of anthracene in polyethylene was investigated. It was shown that the kinetics of photodimerization are not described in terms of nonstationary diffusion. A method is proposed for determining the probability of the existence a volume of inhomogeneous polymer layer with a specific diffusion coefficient of the impurity anthracene molecule. An equation describing the kinetics of photodimerization is derived, and the limiting values of the diffusion coefficient (minimum and maximum) are obtained. A probability distribution for the existence of regions of polymer layer with diffusion coefficient between D and D + dD is also obtained.