Charge exchange theory

Bransden, B. H. McDowell, M. R. C. Charge Exchange and the Theory of Ion-Atom Collisions Clarendon Oxford, England, 1992. 

An accurate treatment of the role of charge exchange, in particular in nonequlibrium stopping in dense media, can hardly be based on classical theory alone. 

The quantitative theory of resonance charge exchange has been developed by Firsov [18]. The basis for calculations was the fact that, when the energies of the colliding particles relative motion are small, the solution of the time-dependent Schrodinger equation appears to be the wave function ... 

McCarroll, R. (1982) Charge exchange and ionization in ion atom collisions, in F. A. Gianturco (ed.), Atomic and molecular collision theory NATO ASI Series B, Plenum Publishing Corporation, New York, pp. 165-244. 

This introduction is rather long, since it includes that matter which is common to all of the following chapters in the book, some of which are new and unique to the book. A first-time lead is provided into the revolutionary new technology of isothermal oxidation, detailed in the thermodynamic appendix (Appendix A). The reaction in a fuel cell is isothermal, charge exchange, oxidation. Combustion does not occur, and its theory does not relate to fuel cells, nor does its main parameter the calorific value or combustion enthalpy. 

Ion-exchange models are commonly used to describe radionuclide sorption onto the fixed-charged sites of materials like clays. Ion exchange will be strongly affected by competition with monovalent and divalent ions such as Na" " and Ca, whereas it will be less dependent on pH over the compositional ranges common for natural waters. Many studies of strontium and caesium sorption by aluminosilicates (e.g., Wahlberg and Fishman, 1962 Tamura, 1972) have been carried out within the framework of ion-exchange theory. Early mechanistic smdies... 

These three-layer silicates are characterized by permanent surface charges (due to isomorphic substitutions). Therefore the binding of cations is assumed to be caused by stoichiometric ion exchange of interlayer ions. These concepts hold well for alkaline and earth-alkaline cations their adsorption and their ionic strength dependence can be characterized by distribution coefficients derived from ion exchange theory. It has been known for some time, however, that... 

There is no rigorous theory of charge exchange between an ion and the molecules of a medium into which it penetrates. Here we shall follow the classical treatment of Bohr (3) with indicated modifications to suit the present case. According to this treatment, electron capture is envisaged as a succession of two processes first, ionization of the medium molecules with the ejected electron having at least the speed (v) of the incident ion, and secondly, capture of the ejected electron into an orbital of the ion. Thus, the cross section for capture is given by... 

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