In electrochemistry, the Berzins-Delahay equation is analogous to the Randles–Sevcik equation, except that it predicts the peak height (
) of a linear potential scan when the reaction is electrochemically reversible, the reactants are soluble, and the products are deposited on the electrode with a thermodynamic activity of one.
{\displaystyle i_{p}=0.6105AC{\sqrt {\frac {(nF)^{3}Dv}{RT}}}}
Despite the fact that this equation is derived under very simplistic assumptions, considering the complex phenomenon of nucleation, the Berzins-Delahay equation often makes good predictions of
This is likely because nucleation processes have been resolved at this point, meaning that the fundamental assumptions of the derivation match the physical phenomena well.
Corrections for these errant assumptions are available.
[2][3] This equation is derived using the following governing equations and initial/boundary conditions:
{\displaystyle E=E_{i}+vt=E^{0'}+{\frac {RT}{nF}}\ln \left({\frac {C(0,t)}{C^{0}}}\right)}
The Berzins-Delahay equation is primarily used to measure the concentration or the diffusion coefficient of an analyte that participates in a reversible, deposition electrochemical reaction.
To validate the application of this equation, one typically checks for a linear relationship between
The characteristic shape of a deposition voltammogram, with a sharp reduction (negative current) with a decaying tail and a large oxidation peak that quickly decays to zero current, is also required to verify the reaction has soluble reactants and deposited products.
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