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Microclusters, Cluster theory (Nuclear physics), Charge transfer


A formalism is developed for evaluating probabilities and cross sections for multiple-electron transitions in scattering of molecules and clusters by charged collision partners. First, the molecule is divided into subclusters each made up of identical centers (atoms). Within each subcluster coherent scattering from identical centers may lead to observable phase terms and a geometrical structure factor. Then, using a mean field approximation to describe the interactions between centers we obtain {ital A}{sub {ital I}}{approximately}{summation}{sub {ital k}}{product}{sub {ital ke}}{sup {ital i}{delta}{sup {ital k}}{sub {ital I}}}{ital A}{sub {ital Ik}}. Second, the independent electron approximation for each center may be obtained by neglecting the correlation between electrons in each center. The probability amplitude for each center is then a product of single electron transition probability amplitudes, {ital a}{sub {ital Ik}}{sup {ital i}}, i.e. {ital A}{sub {ital Ik}}{approx_equal}{product}{sub {ital ia}}{sub {ital ik}}{sup {ital i}}. Finally, the independent subcluster approximation is introduced by neglecting the interactions between different subclusters in the molecule or cluster. The total probability amplitude then reduces to a simple product of amplitudes for each subcluster, {ital A}{approx_equal}{product}{sub {ital IA}}{sub {ital I}}. Limitations of this simple approximation are discussed.


This is the publisher's final pdf. Article appears in Journal of Chemical Physics ( and is copyrighted (1996) by the American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.



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