# Difference between revisions of "Debye Length"

From Soft-Matter

(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...) |
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== 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: |

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

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+ | 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, ε_{0} is the permittivity of free space, ε_{r} is the dielectric constant, *k* is the Boltzmann constant, *T* is the absolute temperature in kelvins, *N _{A}* is Avogadro's number, and

*e*is the elementary charge.

## References

- http://en.wikipedia.org/wiki/Debye_length#Debye_length_in_an_electrolyte
- R. Jones, "Soft Condensed Matter," Oxford University Press Inc., New York (2002).