Henry's function
Henry's function (related to electrophoretic mobility)[1] is given by (Eq. 2 in [2]):
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(\kappa a)= 1 + \frac{1}{16}(\kappa a)^2 - \frac{5}{48}(\kappa a)^3 -\frac{1}{8}(\kappa a)^4 \left[ \frac{1}{12}(1-\kappa a ) - \left( 1 - \frac{1}{12}(\kappa a)^2 \right) e^{\kappa a} E_1(\kappa a )\right]}
where is the radius of the particle, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \kappa } is the Debye length and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle E_1(\kappa a )} is the first order exponential integral.
References[edit]
- ↑ D. C. Henry "The Cataphoresis of Suspended Particles. Part I. The Equation of Cataphoresis", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 133 pp. 106-129 (1931)
- ↑ James W. Swan and Eric M. Furst "A simpler expression for Henry’s function describing the electrophoretic mobility of spherical colloids", Journal of Colloid and Interface Science 388 pp. 92-94 (2012)