Transport Properties of Ions in Gases by Edward A. Mason

By Edward A. Mason

Offers thorough insurance of the delivery homes of ions in gases. begins from first rules, making this publication helpful to these new to the sector in addition to to specialists. Describes the motions of ions in gases in electrical fields, equipment for measuring mobilities and diffusion coefficients, and pitfalls in measuring those amounts. presents a close improvement of the idea of shipping strategies within the context of the kinetic conception of gases. contains correct experimental options and an index to experimental info.

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The time-dependent solution for the lowest mode of diffusion can now be written n(r, z, t) = G U J 0 cos where Figure 1-11-6. Hyperbolic sine and cosine. (1-11-41) AMBIPOLAR DIFFUSION 25 The total solution which contains the radial higher modes as well as the fundamental is n(r,z,f) = f GfJJ0(a,r) [cos U=l \_ (2j ~H ^l g "' /t

W. McDaniel (1973). Mobility, diffusion, and clustering of K + ions in gases, J. Chem. Phys. 58, 2402-2411. Townsend, J. S. (1899). The diffusion of ions into gases, Philos. Trans. R. Soc. London A193, 129-158. Wannier, G. H. (1953). Motion of gaseous ions in strong electric fields, Bell Syst. Tech. J. 32, 170-254. 2 MEASUREMENT OF DRIFT VELOCITIES AND LONGITUDINAL DIFFUSION COEFFICIENTS Direct measurements of drift velocities and longitudinal diffusion coefficients are made with apparatus called drift tubes, descriptions of which are given in Section 2-5.

The solution for the /cth mode can then be written n0(x)k = Akcos^-. /v k (1-11-5) The function cos(x/Afc) assumes negative values in certain regions within the cavity for all modes of diffusion except the lowest, or fundamental, mode corresponding to k = 1. Therefore, if we consider each solution singly, we must discard all but the fundamental mode on physical grounds, since the ionic number density can never be negative. Since, however, the diffusion equation is linear, the total solution consists of an infinite number of modes, many of which may be excited simultaneously.

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