1973 Volume 46 Issue 9 Pages 2642-2646
The relations of the integral transforms and the integral form between various distribution functions have been discussed in the prescribed diffusion approximation for the Smoluchowski equation. The initial electron distribution from the central-ion cluster in a spur or a track, ω(r, 0); the time dependence of the central value of the electron distribution, ω(0, t); the time dependence of the space-averaged electron concentration, N(t), after pulse irradiation, and the scavenger-concentration dependence of the relative G-value of electron scavenging, Gs(ksCs), as a function of the scavenger concentration, Cs, and the rate constant, ks, are shown to be connected by this diagram of the Laplace transforms and the integral form:
(Remark: Graphics omitted.)
By the use of this relation, the various distribution functions are evaluated from the generalized Gaussian initial distribution. The square-root relationship of the Gs(ksCs) to the scavenger concentration is discussed.
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