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Abstract
The acquisition of electric charge by the particles of an aerosol is a subject which heretofore has received only incomplete treatment, much of it based upon intuitive considerations. In this paper we present a rigorous treatment of the subject based upon the difference equations for charging of monodisperse and polydisperse aerosols in the presence of ions of both signs but unequal mobilities. The stochastic equations are written and the conditions of their solution are described for positive and negative small ions of mobilities 1.4 cm 2/V-sec and 1.9 cm 2/V-sec, respectively. Numerical calculations are presented of the time-dependent charge distributions and small ion number densities. Their relation to small-ion production, aerosol particle number concentration, and polydispersity is discussed. These results are compared where possible with calculated and experimental results of other workers. These calculations demonstrate for the first time that for bipolar charging a significant difference arises in polarity between the larger and smaller particle components of a polydisperse aerosol owing to unequal charging rates.
Published Version
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