## 3 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Specimen**} & \(R_{\text{s}}\) & \(R_{\text{film}}\) & \(\mathbf{Y_{film}}\) & \multirow{2}{*}{\(n_{\text{film}}\)} & \multirow{2}{*}{\(R_{\text{film}}\)} & \multirow{2}{*}{\(R_{\text{film}}\)} & \multirow{2}{*}{\(\mathbf{Y_{\text{dil}}}\)} & \multirow{2}{*}{\(n_{\text{dil}}\)} & \multirow{2}{*}{\(C_{\text{eff,dil}}\)} \\  & \(\mathbf{\Omega}\)**cm\({}^{2}\)** & \(\mathbf{\Omega}\)**cm\({}^{2}\) & & & & & \(\mathbf{\Omega}\)**cm\({}^{2}\)** & & \\ \hline As- & 13.3 & 457.3 & 82.2 & 0.91 & 5154 & \(2.44\times 10^{-3}\) & 0.81 & \(1.11\times 10^{-3}\) & \(5.51\times 10^{-4}\) \\ Averiliated & 16.2 & 131.9 & 162.5 & 0.87 & 7814 & \(5.23\times 10^{-3}\) & 0.82 & \(3.06\times 10^{-3}\) & \(2.18\times 10^{-4}\) \\ Annealed & 16.6 & 174.1 & 170.0 & 0.84 & 4225 & \(1.37\times 10^{-3}\) & 0.77 & \(4.38\times 10^{-4}\) & \(4.19\times 10^{-4}\) \\ Water & 12.9 & 241.5 & 207.9 & 0.88 & 2500 & \(1.86\times 10^{-3}\) & 0.82 & \(8.12\times 10^{-4}\) & \(2.83\times 10^{-4}\) \\ quenched & 13.2 & 123.9 & 109.7 & 0.83 & 3326 & \(3.10\times 10^{-3}\) & 0.79 & \(1.35\times 10^{-3}\) & \(1.54\times 10^{-4}\) \\ WQ+Sub. & 14.9 & 151.7 & 79.6 & 0.89 & 2702 & \(2.41\times 10^{-3}\) & 0.89 & \(1.61\times 10^{-3}\) & \(1.11\times 10^{-4}\) \\ Appealing & 13.1 & 131.3 & 71.1 & 0.90 & 3545 & \(1.99\times 10^{-3}\) & 0.92 & \(1.42\times 10^{-3}\) & \(2.44\times 10^{-4}\) \\ Annealing & & & & & & & & & \\ \hline \hline \end{tabular} * Error \(<\) 10%.  
\end{table} 
Table 3: EIS fitting parameters of CS samples in FA pore solution (pH 13.6). From the fitting values presented in Table 3, some trends can be extracted; \(R_{\rm s}\) presents an average value of 14.3 \(\Omega\) cm\({}^{2}\). \(R_{\rm film}\) shows a considerable change from 457.3 \(\Omega\) cm\({}^{2}\) down to 123.9 \(\Omega\) cm\({}^{2}\) for the as-received and oil quenched sample, respectively. This evidences the instability of the passive film formed after the thermomechanical treatments and exposure to chloride ions [25]. The \(Y_{\rm film}\) changes between the different treatments, reflecting the thinning of the film, in which the lowest is observed for the as-received and subcritically annealed samples and higher values are seen for the rest of the samples, but always in the same order of magnitude. The \(n_{\rm film}\) value is between 0.83 and 0.91 (close to an ideal capacitor, \(n=1\)). The \(R_{\rm ct}\) slightly changes between samples, in the order of \(10^{3}\)\(\Omega\) cm\({}^{2}\), showing lower values for increased cooling rates. The \(Y_{\rm dl}\) remains near \(10^{-3}\) S/cm\({}^{2}\) s\({}^{n,\rm dl}\), for the whole set of samples. Accordingly, as seen with the \(n_{\rm film}\), the \(n_{\rm dl}\) presents values ranging from 0.77 to 0.92, indicating that interface shows a non-ideal capacitor behavior, which is influenced by the applied polarization, the surface roughness and the presence of defects and impurities within the oxide layer. In order to correct the value of the pseudo-capacitance of the double-layer (\(Y_{\rm dl}\)) and find the effective capacitance (\(C_{\rm eff,dl}\)), the \(R_{\rm s}\) and \(R_{\rm ct}\) are considered and used in combination with the \(Y_{\rm dl}\) and \(n_{\rm dl}\). The equation proposed by [PERSON] et al. was used to calculate \(C_{\rm eff,dl}\) (see Equation (4)) [54; 55; 56]:  
\[C_{\rm eff,dl}=\left[Y_{\rm dl}\left(\frac{1}{R_{\rm s}}+\frac{1}{R_{\rm ct}} \right)^{(n_{\rm dl}-1)}\right]^{\frac{1}{n_{\rm dl}}} \tag{4}\]  
Using Equation (4), the following \(C_{\rm eff,dl}\) values are obtained and shown in Figure 10. In addition, the \(R_{\rm ct}\) values are also included in order to compare the evolution of both parameters with each thermomechanical treatment. From Figure 10, the quenched samples showed the lowest \(C_{\rm eff,dl}\) and highest \(R_{\rm ct}\) values, indicating higher corrosion kinetics. It can be concluded that lower corrosion properties are to be expected for increased cooling rates.