Application of Measurement Models to Impedance Spectroscopy: III . Evaluation of Consistency with the Kramers‐Kronig Relations
Digital Object Identifier (DOI)
The Kramers‐Kronig equations and the current methods used to apply them to electrochemical impedance spectra are reviewed. Measurement models are introduced as a tool for identification of the frequency‐dependent error structure of impedance data and for evaluating the consistency of the data with the Kramers‐Kronig relations. Through the use of a measurement model, experimental data can be checked for consistency with the Kramers‐Kronig relations without explicit integration of the Kramers‐Kronig relations; therefore, inaccuracies associated with extrapolation of an incomplete frequency spectrum are resolved. The measurement model can be used to determine whether the residual errors in the regression are due to an inadequate model, to failure of data to conform to the Kramers‐Kronig assumptions, or to noise.
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Citation / Publisher Attribution
Journal of The Electrochemical Society, v. 142, issue 12, p. 4159-4168
Scholar Commons Citation
Agarwal, Pankaj; Orazem, Mark E.; and Garcia-Rubio, Luis H., "Application of Measurement Models to Impedance Spectroscopy: III . Evaluation of Consistency with the Kramers‐Kronig Relations" (1995). Chemical, Biological and Materials Engineering Faculty Publications. 29.