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
D. D. McDonald, ‘Transient Techniques in Electrochemistry’, Plenum Press, New York (1981).
W. Vielstich and P. Delahay,J. Am. Chem. Soc. 79 (1957) 1874.
O. Wein, P. Mitschka and V. V. Tovchigrechko,Chem. Eng. Commun. 32 (1985) 153.
K. B. Oldham and J. Spannier, ‘The Fractional Calculus’, Academic Press, New York (1974).
O. Wein and F. H. Assaf,Collect. Czech. Chem. Commun. 52 (1986) 848.
J. S. Newman, ‘Electrochemical Systems’, Prentice Hall, Englewood Cliffs, NJ (1973).
N. A. Pokryvaylo, O. Wein and N. D. Kovalevskava, ‘Electrodiffusion Diagnostics of Flow’ (in Russian), Nauka i Tekhnika, Minsk (1988).
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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