A deterministic diffusion−kinetic model has been
successfully applied to the radiation chemistry occurring
in a typical spur produced in the γ-radiolysis of liquid
cyclopentane, cyclohexane, and cyclooctane. The
predictions of the yields of the cycloalkenes, bicycloalkyls, and the
cycloalkyl iodides in solutions of iodine
are in excellent agreement with experimental data. The major
adjustable parameters in the model are the
characteristic radii of the initial Gaussian spatial distributions of
the reactive species. Values for these radii
were found to be 0.5, 1.1, and 0.55 nm in cyclopentane, cyclohexane,
and cyclooctane, respectively. The
results suggest that the spurs of cyclopentane and cyclooctane are very
small, ca. one molecular diameter,
with resulting large local concentrations of reactants. With
cyclohexane, the spur size is twice as large and
the initial local concentrations are an order of magnitude smaller.
The experimentally observed temporal
invariance of the cyclohexyl radical can be explained by competing
effects in the spur evolution. Details and
implications of the spur model are discussed.