3.4. Electrochemical Impedance Spectroscopy Results
Electrochemical impedance spectroscopy (EIS) was carried out using a three-electrode setup in artificial seawater. Nyquist and Bode plots are shown in
Figure 11,
Figure 12 and
Figure 13.
Equivalent circuit models can be fit over this data. For coatings, these are typically expected to be in the form R
soln[C
c[R
po[C
corR
cor]] [
27]. In this model, R
soln represents solution resistance, C
c represents the capacitance of the overall coating, R
po represents the resistance of coating pores, C
cor represents the double-layer capacitance, and R
cor represents charge transfer resistance. It was also found that these models became more accurate when modeling the capacitors as complex phase elements (Q), likely due to non-homogenous elements in the system, and as such may be better described by the model R
soln[Q
c[R
po[Q
corR
cor]], as seen in
Figure 14. Parameters as obtained via this model are as shown in
Table 13.
From
Table 13, it was found that all models had a chi
2 value of ~1 × 10
−3 or less, indicating a good value of fit.
The EIS analysis reveals significant differences in the corrosion behavior between the as-deposited (H0) and heat-treated (H650 and H950) samples of the chromium carbide-based hardfacing alloy. The Nyquist plots (
Figure 11) and corresponding EIS parameters (
Table 12) provide valuable insights into the electrochemical characteristics and corrosion resistance of these samples.
The most striking observation is the substantial increase in charge transfer resistance (Rcor) following heat treatment. The H0 sample exhibits the lowest Rcor value of 374.6 Ω.cm2, while H650 and H950 show dramatically higher values of 2608 Ω.cm2 and 4711 Ω.cm2, respectively. This progressive increase in Rcor indicates enhanced corrosion resistance with heat treatment, particularly at the higher temperature of 950 °C. The larger Rcor values suggest that the heat-treated samples form more stable passive films, which act as better barriers against charge transfer processes at the metal–solution interface.
The solution resistance (Rsoln) shows a slight decrease from 34.11 Ω.cm2 for H0 to approximately 25 Ω.cm2 for both heat-treated samples. This minor variation in Rsoln suggests that the electrolyte conditions remained relatively consistent during testing, allowing for reliable comparison of other parameters.
A particularly interesting trend is observed in the porous resistance (Rpo) values. The as-deposited H0 sample shows a relatively high Rpo of 1381 Ω.cm2, which drastically decreases to 73.82 Ω.cm2 for H650 and further drops to 38.75 Ω.cm2 for H950. This trend correlates well with the microstructural changes observed, particularly the increase in carbide count and decrease in carbide size with heat treatment. The higher number of smaller carbides likely creates more interfaces and potential pathways through the passive film, resulting in lower Rpo values.
The constant phase element parameters (Qc and nc) for the coating layer show a consistent trend toward more ideal capacitive behavior with heat treatment. The nc value increases from 0.7153 (H0) to 0.9283 (H950), approaching unity, which indicates the formation of a more uniform and stable passive film. Simultaneously, the Qc values decrease by almost two orders of magnitude from H0 (0.00358) to H950 (5.30 × 10−5), suggesting the formation of a thicker or more compact passive layer.
These EIS results align well with the potentiodynamic findings, where both heat-treated samples showed significantly lower corrosion current densities (Icorr) compared to the as-deposited condition. The improvement in corrosion resistance can be attributed to several factors revealed in the microstructural analysis. (a) The redistribution of chromium during heat treatment, particularly in the matrix and eutectic regions, likely contributes to the formation of a more effective passive film. (b) The increased number of finer carbides (1444 carbides for H950 vs. 674 for H0) creates a more uniform distribution of chromium-rich phases, potentially leading to more consistent passive film formation. (c) The changes in matrix composition, particularly the optimization of chromium content (14.2 wt% in H950), appear to provide an ideal balance for corrosion resistance.
Analysis of the Bode plot (
Figure 12) provides complementary insights into the frequency-dependent electrochemical behavior of the hardfacing alloy samples, revealing distinct phase angle responses across the frequency spectrum (0.1 Hz to 10 kHz).
The phase angle profiles demonstrate characteristic differences between the as-deposited and heat-treated conditions. At lower frequencies (0.1–1 Hz), H650 exhibits the most negative phase angle maximum (approximately −55°), followed by H950 (−50°), while H0 shows a notably less negative maximum (around −48°). This behavior in the low-frequency region corresponds to the diffusion-controlled processes and indicates that H650 achieves the most effective capacitive behavior in this range, suggesting a more stable passive film formation.
In the intermediate frequency range (1–100 Hz), there is a clear shift in the phase angle maxima positions. The H0 sample shows its maximum phase angle at a higher frequency compared to both heat-treated samples, indicating faster charge transfer kinetics but potentially less stable passive film behavior. This observation aligns with the previously noted lower charge transfer resistance (Rcor) for the H0 sample.
The high-frequency region (>1000 Hz) shows convergence of phase angles toward zero for all samples, though with subtle differences in their decay patterns. The H950 sample maintains slightly more negative phase angles in this region, suggesting better retention of capacitive behavior even at higher frequencies. This characteristic correlates well with its highest nc value (0.9283) among the three conditions, indicating the near-ideal capacitive behavior of its passive film. A notable feature is the broader phase angle peak for H950 compared to both H0 and H650, suggesting a wider range of effective capacitive behavior. This broadening of the frequency response indicates a more complex and potentially more effective barrier against corrosion, consistent with the microstructural refinement observed in the H950 sample. The gradual transition in phase angles across the frequency spectrum for heat-treated samples, particularly H950, indicates a more homogeneous electrochemical response. This homogeneity can be attributed to the refined carbide distribution and optimized matrix composition achieved through heat treatment, resulting in more uniform corrosion protection.
The Bode magnitude plot (
Figure 13) provides additional insights into the impedance behavior of the hardfacing alloy samples across the frequency spectrum. The impedance magnitude (|Z|) versus frequency representation reveals several distinctive characteristics that complement our previous electrochemical analyses.
At the lowest frequencies (0.1 Hz), both heat-treated samples (H650 and H950) exhibit slightly higher impedance magnitudes (approximately 2000 Ω·cm2) compared to the as-deposited H0 sample (approximately 1500 Ω·cm2). This higher low-frequency impedance correlates with the enhanced barrier properties of the heat-treated surfaces, particularly their improved passive film characteristics. A notable feature is the slope of the impedance curves in the mid-frequency range (1–100 Hz). All three samples show a characteristic linear decrease in impedance with increasing frequency but with subtle differences in their slopes. The heat-treated samples demonstrate a slightly steeper decline in this region, suggesting a more pronounced capacitive behavior of their surface films. In the high-frequency domain (>1000 Hz), the impedance values converge to similar magnitudes (around 25–30 Ω·cm2) for all samples, corresponding to the solution resistance (Rsoln) values previously noted. This convergence indicates that at high frequencies, the electrical response is dominated by the electrolyte properties rather than the surface characteristics of the samples.
The overall shape of the magnitude plots, when considered alongside the previously discussed phase angle responses, suggests a two-time-constant system. This indicates the presence of both a surface film capacitance and a double-layer capacitance, with the heat-treated samples showing a more distinct separation between these time constants as discussed below.
The electrochemical analysis of the two-time constants can be better understood through the quantification of their characteristic frequencies (fc), which can be calculated using the relationship fc = 1/(2π(RQ)^(1/n)), where R represents the respective resistance (Rpo or Rcor), Q is the constant phase element parameter (Qc or Qcor), and n is the corresponding exponential factor (nc or ncor). For the porous layer (first time constant), this calculation yields characteristic frequencies of approximately 185 Hz for H0, increasing to 2.1 kHz for H650 and further to 4.8 kHz for H950. The charge transfer processes (second-time constant) show distinctly lower characteristic frequencies of 1.2 Hz, 0.25 Hz, and 0.08 Hz for H0, H650, and H950, respectively. The first time constant, manifesting at higher frequencies, corresponds to the porous layer characteristics, while the second time constant at lower frequencies represents the charge transfer processes. The evolution of these time constants with heat treatment demonstrates a systematic transformation of the corrosion protection mechanism. In the as-deposited condition (H0), the porous layer exhibits a relatively low nc value of 0.7153, indicating moderate film homogeneity, with a high capacitance (Qc) of 0.00358 Ω−1 cm−2 s^n. Heat treatment progressively enhances the passive film quality, as evidenced by the increase in nc to 0.9283 for H950, accompanied by a significant decrease in Qc to 5.30 × 10−5 Ω−1cm−2s^n, suggesting the formation of a thicker more compact oxide layer. The characteristic frequencies of these processes show remarkable separation, with the separation factor (ratio of higher to lower characteristic frequencies) increasing from 154 for H0 to approximately 60,000 for H950, indicating increasingly distinct electrochemical processes at the surface and interface. The resistance distribution undergoes a fundamental shift, as indicated by the Rpo/Rcor ratio changing from 3.687 in H0 to 0.008 in H950, signifying a transition from a porous layer-dominated protection mechanism to one predominantly controlled by charge transfer resistance. This transition aligns with the microstructural evolution, where the increase in carbide count from 674 to 1444 and reduction in average carbide size from 2.56 to 1.06 μm2 creates a more uniform corrosion barrier. The decreasing ncor values from 0.8741 (H0) to 0.6252 (H950) reflect increased surface heterogeneity at the charge transfer interface, attributable to the refined carbide distribution. The capacitive behavior shows increasingly distinct interfacial processes, with the Qcor/Qc ratio rising from 1.047 in H0 to 11.509 in H950. These quantitative parameters collectively demonstrate that heat treatment, particularly at 950 °C, fundamentally enhances corrosion resistance through the development of a more effective layered protection mechanism characterized by a homogeneous passive film and well-defined electrochemical processes at different interfaces.