Difference between revisions of "Debye Length"

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[[Polymer solutions#Electrostatic interaction - Bjerrum length and Debye length|Debye length]] in [[Polymer solutions]] in [[Polymers and polymer solutions]] from [[Main Page#Lectures for AP225|Lectures for AP225]].
 
[[Polymer solutions#Electrostatic interaction - Bjerrum length and Debye length|Debye length]] in [[Polymer solutions]] in [[Polymers and polymer solutions]] from [[Main Page#Lectures for AP225|Lectures for AP225]].
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[[Repulsion - Electrocratic#Stern model of isolated, charged surface|Debye length]] in [[Thin "soft" films and colloidal stability]] from [[Main Page#Lectures for AP225|Lectures for AP225]].
  
  

Latest revision as of 15:03, 27 November 2011

Definition

The Debye length (<math>\kappa ^{-1}</math>), or Debye screening length, is the length scale over which charge carriers screen-out electric fields. One version of this equation when describing this length in a colloidal dispersion (or electrolyte solution) is:

<math> \kappa^{-1} = \sqrt{\frac{\varepsilon_0 \varepsilon_r k T}{2 N_A e^2 I}}</math>

where I is the ionic strength of the electrolyte, ε0 is the permittivity of free space, εr is the dielectric constant, k is the Boltzmann constant, T is the absolute temperature in kelvins, NA is Avogadro's number, and e is the elementary charge.

For more information on Peter Debye's original acoustic experiments, go to Electokinetics: Electroacoutic measurements.


See also:

Debye length in Polymer solutions in Polymers and polymer solutions from Lectures for AP225.

Debye length in Thin "soft" films and colloidal stability from Lectures for AP225.


References