text: The Warburg coefficient (or Warburg constant; denoted  or ) is the diffusion coefficient of ions in solution, associated to the Warburg element, .  The Warburg coefficient has 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;
  * is the concentration of the electrolyte;
  * denotes the surface area; 
  * 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.