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The effect of space charge in ion mobility spectrometry

We present the study of expansion of an ion cloud in the process of its drift in the ion mobility spectrometer taking into account the influence of diffusion and electric field of the space charge of the ion cloud. Nonlinear integro-differential equation describing these effects was obtained and solved numerically in the one-dimensional case. We found a threshold value of the ion density, above which the nonlinear effects associated with the space-charge field become significant, which agrees well with the experimental data and the criterion of Spangler. These nonlinear effects lead to the fact that the spatial ion distribution ceases to be Gaussian, and with good accuracy are approximated by the distribution of Kohlrausch–Williams–Watts.

The effect of space charge in ion mobility spectrometry.pdf

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