Abstract
A Schrödinger equation equivalent to the Langevin equation of ion motion in ICR cells is presented. A wave function for the scattering states has been found as the solution to the equation of ion motion under the influence of electric and magnetic fields perturbed by a scattering potential. Applying the minimized wave packet as a wave function describing coherent states, the scattering amplitudes are determined explicitly. The connection between the collision cross section and the scattering amplitudes is found by making use of the incoming and outgoing particle flux density. The collision cross section found in this way is converted from quantum theory to classical physics. The collision cross section, which plays an essential role in the determination of rate constants can be determined by the aid of ICR experimental data if the contribution of an alternating electric field is taken into account.
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Hartmann, H., Chung, KM., Schuch, D. et al. Collisionally damped ion motion in ICR spectrometry. Theoret. Chim. Acta 53, 203–214 (1979). https://doi.org/10.1007/BF00550277
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DOI: https://doi.org/10.1007/BF00550277