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On the application of quantitative models of diffusion-controlled adsorption kinetics at fluid interfaces

  • Colloid Science
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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.

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Abbreviations

a i :

coefficients of the collocation solution

a L :

Langmuir parameter

a′ :

interaction parameter of the Frumkin isotherm

α n :

coefficients of a power series

c :

surfactant bulk concentration

c 0 :

equilibrium bulk concentration

D :

diffusion coefficient

Γ :

surface concentration

Γ 0 :

equilibrium surface concentration

Γ t8 :

maximum surface concentration

Γ( x ):

Gamma function

t :

time

θ :

dimensionless time

References

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Author notes

  1. R. Miller

    Present address: Institute of Organic Chemistry, Academy of Sciences of the G.D.R., Berlin, G.D.R.

Authors and Affiliations

  1. Institute of Organic Chemistry, Academy of Sciences of the G.D.R., Berlin, G.D.R.

    M. Ziller

Authors
  1. R. Miller
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  2. M. Ziller
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Additional information

Dedicated to the 60th birthday of G. Kretzschmar.

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Miller, R., Ziller, M. On the application of quantitative models of diffusion-controlled adsorption kinetics at fluid interfaces. Colloid & Polymer Sci 266, 532–538 (1988). https://doi.org/10.1007/BF01420764

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  • DOI: https://doi.org/10.1007/BF01420764

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