Recombination probability from ion yields

The number of free ions (i.e. those which have escaped geminate recombination) formed per 100 eV of radiation absorbed by the liquid is termed Ga (see the end of Sect. 2.4). It is directly proportional to the escape probability, P E), of the ion-pair in an applied electric field, E. 

From measurements of the free ion yield at different temperatures and electric fields, it is possible to deduce something about the range o distances over which the initial population of ion-pairs iu(ro),  

Range parameters, b (nm), for the electron—cation pairs formed by high-energy electron radiolysis of hydrocarbon solvents at 300 K 

These estimates [376] are made from the experimental escape probabilities and their electric field and temperature dependence, assuming an analytic function for the initial distributions [eqns. (152) and (177)]. 

This one-dimensional escape probability can be compared with the three-dimensional expression (168). The observed escape probability for a distribution of initial distances between electrode and electron is the average of that distribution over all escape probabilities given by eqn. (178). Under steady-state photostimulation of the cathode, an electric current flows between cathode and anode and the current is proportional to the escape probability of these electrons from their image potential. As in the three-dimensional (Onsager) case, the field dependence of the electric current may be used to estimate the range of photoejected electrons from the cathode. However, these photoejected electrons have 

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