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In this paper, the stochastic algorithm Differential Evolution is proposed to fit an equivalent circuit to the EIS results for a wide potential range.
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The method employs the simplified approximation of fitting an equivalent ellipse.
Impedance spectra were analyzed by fitting an equivalent circuit, which modeled: the ionic conductivity, the dielectric constant, the electric polarization due to inhomogeneity in the bulk of sample and the electrode polarization.
Eye-movement artefacts were removed using the Multiple Source Eye Correction method (Berg and Scherg, 1994), which involves fitting an equivalent current dipole at the location of each eyeball and subtracting the resulting source waveforms from the sensor data.
We first fit a regression, equivalent to Fisher's multiplicative model of genetic independence [see (Addinall et al. 2011) for details], to mean fitnesses across the collection, using the lm function in R: [ x y z y f g Δ ˜ ] = m [ l y p 1 Δ y f g Δ ˜ ] where square brackets denote fitness and tildes denote average (mean) values for each strain.
The impedance data is fit to an equivalent circuit model consisting of a geometrical resistance in series with a distributed element for Havriliak-Negami (HN) relaxation, and in parallel with a geometrical capacitance.
The EIS data were analyzed by fitting with an equivalent electrical circuit model (Fig. 4i), and the fitted impedance data are listed in Table 1, where the oblique line is related to the Li+ diffusion within the active material, and the semicircle is applicable to the charge-transfer resistance (R ct) between the electrolyte and active material [48, 49].
The experimental impedance data have been fitted to an equivalent electrical circuit.
The EIS data for the electrodes were fitted to an equivalent electrical circuit.
As shown in Figure 5, they were fitted with an equivalent circuit alike to those reported in the literature.
The impedance spectra were then fitted to an equivalent electrical circuit by using the ZSimpWin 2.0 software (EChem software).
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