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On the application of quantitative models of diffusion-controlled adsorption kinetics at fluid interfaces
Authors:R Miller  M Ziller
Institution:(1) Present address: Institute of Organic Chemistry, Academy of Sciences of the G.D.R., Berlin, G.D.R.
Abstract:The model of diffusion-controlled adsorption kinetics can be solved by different mathematical procedures. For the most important case of a Langmuir isotherm, useful solutions are summarized and extended and the ranges of application are given. New approximations are presented which can be applied to most experiments in practice.Nomenclature a i coefficients of the collocation solution - a L Langmuir parameter - aprime interaction parameter of the Frumkin isotherm - agr n coefficients of a power series - c surfactant bulk concentration - c 0 equilibrium bulk concentration - D diffusion coefficient - Gamma surface concentration - Gamma 0 equilibrium surface concentration - Gamma t8 maximum surface concentration - Gamma( x ) Gamma function - t time - theta dimensionless time Dedicated to the 60th birthday of G. Kretzschmar.
Keywords:Adsorption kinetics  surfactant transport  Langmuir isotherm
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