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DLVO theory : ウィキペディア英語版
DLVO theory

The DLVO theory is named after Boris Derjaguin and Lev Landau, Evert Verwey and .
The theory explains the aggregation of aqueous dispersions quantitatively and describes the force between charged surfaces interacting through a liquid medium.
It combines the effects of the van der Waals attraction and the electrostatic repulsion due to the so-called double layer of counterions.
The electrostatic part of the DLVO interaction is computed in the mean field approximation in the limit of low surface potentials - that is when the potential energy of an elementary charge on the surface is much smaller than the thermal energy scale, k_B T.
For two spheres of radius a each having a charge Z (expressed in units of the elementary charge)
separated by a center-to-center distance r in a fluid of dielectric constant \epsilon_r containing a concentration n of monovalent ions,
the electrostatic potential takes the form of a screened-Coulomb or Yukawa repulsion,
: \beta U(r) = Z^2 \lambda_B \, \left(\frac\right)^2 \, \frac,

where \lambda_B is the Bjerrum length,
\kappa^ is the Debye–Hückel screening length,
which is given by \kappa^2 = 4 \pi \lambda_B n, and
\beta^ = k_B T is the thermal energy scale at absolute temperature T.
==History==
In 1923, Debye and Hückel reported the first successful theory for the distribution of charges in ionic solutions.

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The framework of linearized Debye–Hückel theory subsequently was applied to colloidal dispersions by Levine and Dube

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who found that charged colloidal particles should experience a strong medium-range repulsion and a weaker long-range attraction.
This theory did not explain the observed instability of colloidal dispersions against irreversible aggregation in solutions of high ionic strength.
In 1941, Derjaguin and Landau introduced a theory for the stability of colloidal dispersions that invoked a fundamental instability driven by strong but short-ranged van der Waals attractions countered by the stabilizing influence of electrostatic repulsions.

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Seven years later, Verwey and Overbeek independently arrived at the same result.

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This so-called DLVO theory resolved the failure of the Levine–Dube theory to account for the dependence of colloidal dispersions' stability on the ionic strength of the electrolyte.

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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