Difference between revisions of "Debye Length"

From Soft-Matter
Jump to: navigation, search
(New page: == Definition == The Debye length (<math>\kappa^{-1}</math>, or Debye screening length, is the length scale over which charge carriers screen-out electric fields. == References == * htt...)
 
m
Line 1: Line 1:
 
== Definition ==
 
== Definition ==
  
The Debye length (<math>\kappa^{-1}</math>, or Debye screening length, is the length scale over which charge carriers screen-out electric fields.
+
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, ε<sub>0</sub> is the permittivity of free space, ε<sub>r</sub> is the dielectric constant, ''k'' is the Boltzmann constant, ''T'' is the absolute temperature in kelvins, ''N<sub>A</sub>'' is Avogadro's number, and ''e'' is the elementary charge.
  
 
== References ==
 
== References ==

Revision as of 22:39, 27 November 2009

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.

References