Ba. Boukamp, A LINEAR KRONIG-KRAMERS TRANSFORM TEST FOR IMMITTANCE DATA VALIDATION, Journal of the Electrochemical Society, 142(6), 1995, pp. 1885-1894
A method is described with which immittance data can be tested for Kro
nig-Kramers compliance. In contrast with other procedures, this method
is linear in nature and is based on a predetermined set of relaxation
times. The model contains as many parameters (or less) as there are d
ata sets. Three modes of operation are described, the first two are ba
sed on a linear fit of the model function to the imaginary part or to
the real part of the data set. With the fit parameters the correspondi
ng real or imaginary dispersion can be calculated and compared with th
e actual measurement. In the third mode a complex model function is fi
tted to the complete data set. As the model function does comply with
(a relaxed set of) the Kronig-Kramers (K-K) rules, it will not be able
to reproduce the data set satisfactory in the case of nonK-K behavior
, as can be observed from the residuals plot. Due to its linear nature
, no starting values are needed for the data validation; The main limi
tation of this procedure is the size of the matrix and the accuracy of
the matrix inversion.