Warburg coefficient

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The Warburg coefficient (or Warburg constant), , is the diffusion coefficient of ions in solution, associated to the Warburg element, . The Warburg coefficient, , also written as, , has the units of

The value of can be obtained by the gradient of the Warburg plot, a linear plot of the real impedance () against the reciprocal of the square root of the frequency (). This relation should always yield a straight line, as it is unique for a Warburg.

Alternatively, the value of can be found by:

where is the ideal gas constant, is the thermodynamic temperature, is the Faraday constant, is the valency, is the diffusion coefficient of the species where subscripts and stand for the oxidized and reduced species respectively, is the concentration of the and species in the bulk, C is the concentration of the electrolyte, denotes the surface area and denotes the fraction of the and species present.

The equation for applies to both reversible and quasi-reversible reactions for which both halves of the couple are soluble.

References[]

  • A. Ottova-Leitmannova, Advances in Planar Lipid Bilayers and Liposomes, Academic Press (2006)
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