SYMPOSIA PAPER Published: 01 January 1993
STP18067S

Kramers-Kronig Transformation in Relation to the Interface Regulating Device

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The Kramers-Kronig transforms constitute in principle a powerful tool to validate experimental impedance data. However, some ambiguities remain in this method; thus, its use needs some care. For instance, the negative resistance generated by the passivation process is often considered an impedance feature that cannot be verified by the Kramers-Kronig transforms. Clarifying this fundamental aspect on the basis of experimental results is not easy. To overcome this difficulty, the problem is addressed in this paper by considering impedance functions numerically simulated by a simple dummy cell. Then the applicability of the Kramers-Kronig transform is verified by evaluating: (a) The real part of the impedance from its imaginary part, (b) The imaginary part of the impedance from its real part, (c) The real part of the admittance from its imaginary part, and (d) The imaginary part of the admittance from its real part. The calculated impedance spectra are then compared with the original ones.

From these calculations for different types of impedance, it is concluded that the choice of the proper immittance to be submitted to the Kramers-Kronig criterion is of basic importance. If the impedance is measured under potential regulation, the validity test should be performed with admittance. Conversely, if transfer functions are obtained under current regulation, the Kramers-Kronig transform should be applied to the electrode impedance.

Author Information

Gabrielli, C
CNRS, Physique des Liquides et Électrochimie, Laboratoire de l'Université P&M Curie, Paris, France
Keddam, M
CNRS, Physique des Liquides et Électrochimie, Laboratoire de l'Université P&M Curie, Paris, France
Takenouti, H
CNRS, Physique des Liquides et Électrochimie, Laboratoire de l'Université P&M Curie, Paris, France
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Developed by Committee: G01
Pages: 140–153
DOI: 10.1520/STP18067S
ISBN-EB: 978-0-8031-5240-3
ISBN-13: 978-0-8031-1861-4