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By E. W. McDaniel and M. R. C. McDowell (Eds.)

ISBN-10: 0720402255

ISBN-13: 9780720402254

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E. TEMPERATURE A N D INTERACTION The theory of Thomson provides a useful basis for comparison. It is natural to identify the cross sections appearing in Thomson's formula (1-6-45) with the momentum transfer cross sections. 75 in the elastic-sphere limit. It may be seen from (1-6-45) that the Thomson approximation to the 1-3 partial recombination coefficient is = T 13 ' WeViViZ) 9(ke)3(3M12fg(A) which can, in fact, account for details of the ion-neutral interaction. From (1-6-42) and (1-6-54) the ratio g/t = α 1 3 /α Τ ί 1 3 (1-6-55) Sy/ln \ M 1 3 / provides a measure of the effectiveness of the Thomson formula.

Distribution function p(X\ct C) for selected values of the interaction parameter C (indicated on curves). 54 1-6 THREE-BODY RECOMBINATION rate of fall-off as λ is increased is relatively slow if c is either small or large compared with unity (a necessary condition for which is that one of the three masses concerned is very different from the others). The effect of C on the distribution functions (cf. Fig. 1-6-3), is slight: small C gives a distri­ bution function characteristic of a polarization interaction (small-ion limit) while large C gives one characteristic of a repulsive hard-sphere core inter­ action.

As in the previous process (1-4-1), the range of the ion-ion interaction is so much larger than that of the ion-atom inter­ action that it is permissible to view these collisions as binary encounters between the atom and either ion. Therefore, K(E{, Et) = K 1 3 (£|, £,) + K23{E{, Et) (1-5-2) where K13 is the rate arising from positive ion-neutral collisions and K23 is that calculated assuming negative ion-neutral collisions. We will now develop the expression of Bates and Flannery [11] for these energy-change collisions between ion-pairs and third bodies in a suffi­ ciently general fashion that the method employed, as well as being particular­ ly suited to the present instance in (1-5-1), can moreover, as shown by Flannery [37], be adapted to the examination of electronic excitation, ionization and de-excitation arising from the impact between two heavy particles in the process A + B-> A* + B* (1-5-3) in which the asterisk denotes internal energy change in the target and pro­ jectile atoms.

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Case Studies in Atomic Collision Physics by E. W. McDaniel and M. R. C. McDowell (Eds.)

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