1991
DOI: 10.1149/1.2085580
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On the Application of the Kramers‐Kronig Relations to Evaluate the Consistency of Electrochemical Impedance Data

Abstract: The use of the Kramers-Kronig (KK) relations to evaluate the consistency of impedance data has been limited by the fact that the experimental frequency domain is necessarily finite. Current algorithms do not distinguish between the residual errors caused by a frequency domain that is too narrow and discrepancies caused by a system which does not satisfy the constraints of the KK equations. A new technique is presented which circumvents the limitation of applying the KK relations to impedance data which truncat… Show more

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Cited by 87 publications
(49 citation statements)
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“…0.3 V, and 0.2 V is shown in Figure 6. The data did not appear to be Kramers-Kronig consistent, 41 presumably because even though the voltage degradation rate appears manageable, the baseline of the EIS measurement was changing over the time scale of the experiment, 2-3 hours. We were able to measure the internal cell resistance and charge transfer resistances from the EIS.…”
Section: Resultsmentioning
confidence: 90%
“…0.3 V, and 0.2 V is shown in Figure 6. The data did not appear to be Kramers-Kronig consistent, 41 presumably because even though the voltage degradation rate appears manageable, the baseline of the EIS measurement was changing over the time scale of the experiment, 2-3 hours. We were able to measure the internal cell resistance and charge transfer resistances from the EIS.…”
Section: Resultsmentioning
confidence: 90%
“…The calculated component can then be compared with the experimental one; and conclusions about the compliance of the KK relations can be extracted. The main limitation of this method is that KK relations direct integration requires data in the frequency range from 0 to infinity [40]; and the data obtained in practice only cover a finite frequency range. Thus, extrapolation of the data is required.…”
Section: Kramers-kronig Relationsmentioning
confidence: 99%
“…Thus, extrapolation of the data is required. Several extrapolation methods have been used in literature: the Kendig method [41][42]; the Macdonald method [43]; the Haili method [44] and the Esteban-Orazem method [40]. However, any of these methods can be used if the measured frequency range is too narrow; or if the maximum imaginary component point has not been obtained experimentally [36].…”
Section: Kramers-kronig Relationsmentioning
confidence: 99%
“…(33), cf. Esteban and Orazem, 1991), we can thereby compare fitting parameters of Cole-Cole Eq. (38), e.g.…”
Section: Crim Simulationmentioning
confidence: 99%