Radon progeny distribution in cylindrical diffusion chambers

An algorithm to model the diffusion of radioactive decay chain atoms is presented. Exact mathematical solutions in cylindrical geometry are given. They are used to obtain expressions for the concentrations of 222Rn progeny atoms in the volume and deposited on the wall surface in cylindrical diffusion chambers. The dependence of volume fractions of 222Rn progeny and chamber sensitivity on the coefficient of diffusion of 222Rn progeny atoms in air is modeled.