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Effect of ohmic losses on potentiostatic transient response of a reversible redox system

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Abstract

The ohmic potential drop between the working and reference electrodes plays an important role in the early stage of the voltage-step transient process. The non-linear effect of the ohmic drop on the transient currents is calculated for large voltage steps, assuming reversible behaviour (negligible surface overpotential) of the redox couple O+ne=R.

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Abbreviations

A :

area of working electrode (m2)

a c :

Cottrell coefficient (As1/2m−2), Equation 10a

B :

parameter of Cottrell asymptote, Equation 10c

c k :

concentration field ofk th component (mol m−3)

D k :

diffusion coefficient ofk th component (m2s−1)

d −1/2 x :

semiintegral, −1/2 x

f :

parameter of Cottrell asymptote, Equation 10b

I :

current (A)

I 0 :

initial current (≡−U/R w)(A)

i :

current density (≡I/A) (A m−2)

j k :

diffusion flux density ofkth component (mol m−2s−1)

r w :

radius of a disc electrode (m)

P :

normalized overpotential (≡FU/RT)

R w :

ohmic resistance adjoined to working electrode (Ω)

t :

time from the start (s)

t 0 :

initial lag time (≡(A R wαc/U)2) (s)

U :

constant voltage step from equilibrium (V)

ηc :

concentration overpotential (V)

K :

electroconductivity of bulk solution (τ−1 m−1)

k :

kth component

O:

cathodic depolarizer

R:

anodic depolarizer

w:

surface of working electrode

b:

bulk of solution

References

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Wein, O. Effect of ohmic losses on potentiostatic transient response of a reversible redox system. J Appl Electrochem 21, 1091–1094 (1991). https://doi.org/10.1007/BF01041453

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  • DOI: https://doi.org/10.1007/BF01041453

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