Dynamic mobility spherical particles suspensions

The Smoluchowski formula, which is used in the AcoustoSizer from the measured dynamic mobility, is valid for a disperse suspension of spherical particles according to Eq. 1. 

O Brien has shown (10) that for a dilute suspension of spherical particles (less than about 4% by volume, say) wifli thin double layers, the dynamic mobility is related to the particle properties as follows ... 

R. J. Hunter, Recent developments in the electroacoustic charactiaisation of colloidal suspensions and emulsions. Colloids Surf. A 141(1), 37-65 (1998). doi 10.1016/S0927-7757(98)00202-7 C. Knosche, Mdglichkeiten und Grenzen der elektroakustischen Spektroskopie zur Gewinnung von Partikelgrofieninformationen. PhD thesis, Technische Universitiit Dresden, 2001 M. Loewenberg, R.W. O Brien, The dynamic mobility of nonspherical particles. J. Colloid Interface Sci. 150(1), 158-168 (1992). doi 10.1016/0021-9797(92)90276-R R.W. O Brien, Electro-acoustic effects in a dilute suspension of spherical particles. J. Fluid Mech. 

FIGURE 5.9 Real (a) and imaginary (b) parts of the dynamic mobility of suspensions of spherical particles in 0.5 mM KCl, with ( )= 1%, = -100mV and the particle radii indicated. (Reprinted from Jimenez, M.L. et al. 2007. Croat. Chem. Acta 80 453-459. With permission from the Croatian Chemical Society.)... 

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