Summary
By the «limiting sphere» method the combination coefficients for gaseous ions and aerosol particles were calculated, allowing for the jump in ion concentration at the surface of the particles. Hence the stationary charge distribution on aerosol particles in a symmetrical bipolar ionic atmosphere was determined. The use of the Boltzmann equation for this purpose proposed by some authors is theoretically wrong asthis equation applies to equilibrium rather than to stationary states. In practice, the Boltzmann equation can be used for particles with radius ≥3·10−5 cm (under atmospheric pressure). Within this range the image forces and the jump in ion concentration may be neglected. The conditions of the applicability of the steady diffusion equations to the theory of the stationary charge distribution in aerosols are discussed.
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References
Keefe D., Nolan P. J. &Rich T. A.:Charge equilibrium in aerosols according to the Boltzmann law. Proc. Roy. Irish Acad., 60-A, 27 (1959).
Lissowski P.:Das Laden von Aerosolteilchen in einer bipolaren Ionenatmosphäre. Acta Physicochimica URSS, 13, 157 (1940).
Fuchs N. A.:The charges on the particles of aerocolloids. Isvestiya Acad. Nauk USSR, ser. geogr. geophys., 11, 341 (1947).
Pluvinage P.:Étude théorique et expérimentale de la conductibilité dans les nuages non orageux. Annales de Géophys., 2, 31 (1946).
Bricard J.:L'équilibre ionique de la basse atmosphère. J. Geophys. Res., 54, 39 (1949).
Gunn R.:Diffusion charging of atmospheric droplets by ions and the resulting combination coefficients. J. Meteor., 11, 339 (1954).
Fuchs N. A.:Evaporation and droplet growth in gaseous media. §5, Pergamon Press (1959).
Fuchs N. A. &Stechkina I. B.:Resistance of a gaseous medium to the motion of spherical particles of a size comparable to the mean free path of the gas molecules. Trans. Farad. Soc. 58, 1949 (1962).
Wright P. G.:On the discontinuity involved in diffusion across an interface. Faraday Discuss., 30, 100 (1960).
Natanson G. L.:On the theory of charging of amicroscopic aerosol particles resulting from the capture of gaseous ions. J. Techn. Physics (Russian), 30, 573 (1960).
Bricard J.:La fixation des petits ions atmosphériques sur les aérosols ultrafins. Geofis. pura e appl., 51, 237 (1962).
Keefe D. &Nolan P. J.:Influence of image forces on combination in aerosols.Ibidem,, 50, 155 (1961).
Lassen L.:Die Anlagerung radioaktiver Atome an Aerosolen im Grössenbereich 0.7–5 μ (Radius). Z. Physik, 163, 363 (1961).
Smoluchowski M.:Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen. Z. phys. Chem., 92, 144 (1917).
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Fuchs, N.A. On the stationary charge distribution on aerosol particles in a bipolar ionic atmosphere. Geofisica Pura e Applicata 56, 185–193 (1963). https://doi.org/10.1007/BF01993343
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DOI: https://doi.org/10.1007/BF01993343