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On the theory of adsorption kinetics of ionic surfactants at fluid interfaces

1. The effect of the electric double layer under quasi-equilibrium conditions on adsorption kinetics

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Abstract

The influence of the electric field caused by an electric double layer (DL) on the adsorption kinetics of charged surfactant molecules at fluid interfaces is described for the case of high surface potentials and a quasi-equilibrium state of the DL. Known relations for the description of the transport of molecules in the diffusion layer and the DL respectively are used.

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Abbreviations

c :

concentration

c e :

bulk concentration in equilibrium

D :

diffusion coefficient

D eff :

effective diffusion coefficient defined in (21)

e :

proton charge

E :

electric field

f :

dimensionless potential=eψ/kT

F :

Faraday's constant

I :

current density

j :

ion stream

k :

Boltzmann's constant

K ads :

rate constant of adsorption

K des :

rate constant of desorption

K(f 0):

coefficient of electrostatic deceleration

R :

gas low constant

t :

time

t ads :

characteristic time of the adsorption process

T :

absolute temperature

x :

distance from the surface

z :

electrovalence

Γ :

adsorption of ions

δ D :

thickness of the diffusion layer

ε :

dielectric constant

Φ :

Subsurface concentration

Φ x :

concentration atx=x−1

χ :

Debye-Hückel reciprocal distance

ϱ :

volume density of charge

σ :

charge

ψ :

electric potential

τ :

time of DL formation

0:

surface

dif:

diffuse part of the electric double layer

+:

cations

−:

anions

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Author notes

  1. S. S. Dukhin

    Present address: Institute of Colloid and Water Chemistry of the Ukrainian Academy of Sciences, Kiev

  2. R. Miller & G. Kretzschmar

    Present address: Central Institute of Organic Chemistry of the Academy of Sciences of the GDR, Berlin-Adlershof

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    1. S. S. Dukhin
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    2. R. Miller
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    3. G. Kretzschmar
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    Dukhin, S.S., Miller, R. & Kretzschmar, G. On the theory of adsorption kinetics of ionic surfactants at fluid interfaces. Colloid & Polymer Sci 261, 335–339 (1983). https://doi.org/10.1007/BF01413940

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    • DOI: https://doi.org/10.1007/BF01413940

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