4.1. Nyquist Plot Analysis
Figure 5 shows the three-dimensional diagram of the AC impedance spectrum of the whole leaching process of ion-adsorption rare earth using ammonium sulfate leaching. In order to facilitate the study and comparative analysis, the whole leaching process was divided into four stages including the wetting stage (30-50min), reaction stage (50-80min), equilibrium stage (80-250min), and top water stage (250-350min), according to the reaction time, reaction phenomenon, and impedance value change of the reaction process. Among them, the wetting stage refers to the process from the beginning of the ore body to the leaching fluid outflow. The reaction stage refers to the process from the beginning of the leaching solution to the significant change in impedance. The equilibrium stage refers to the process in which the impedance value is relatively stable. In the top water stage, the leaching solution was finished and deionized water was added to flush the ore body until the end.
As shown in
Figure 6, the Nyquist curve was composed of the capacitance reactable arc in the high-frequency region (greater than 1000Hz) and the inclined straight line in the low-frequency region (less than 1Hz), which conformed to the quasi-Randles model. It was found that the capacitive reactance arc and the slope of the line changed significantly in the wetting stage, reaction stage and top water stage, while changed little in the equilibrium stage. The capacitive reactance arc radius and the capacitive reactance arc intercept to the real axis in the wetting and reaction stages decreased with the increase of reaction the increase of reaction time, indicating that the solution and charge transfer resistance in the two stages decreased. In the wetting and equilibrium stage, the slope of the straight line and the straight line intercept to the real axis decreased, indicating that the diffusion coefficient σ decreased. The diffusion coefficient was proportional to the resistance, and the resistance decreased continuously.
It can be inferred that in the wetting stage and the reaction stage, the ion concentration in the pore liquid kept increasing and the ion-exchange reaction at the solid-liquid interface kept increasing. The diffusion rate of ions in the pore liquid of the orebody was getting faster and faster and the ion concentration difference at the solid-liquid interface was getting larger and larger, which was conducive to the diffusion.
In the equilibrium stage, the impedance amplitude changed little, and the capacitive reactance arc radius was small. The capacitive reactance arc intercept to the real axis and the intercept of a line to the real axis has not changed significantly, indicating that the resistance value changed little. The ion-exchange reaction tended to be stable and the resistance at the top water stage increased significantly. The capacitive reactance arc radius and the capacitive reactance intercept to the real axis increased with time. The linear intercept to real axis increased, the diffusion coefficient σ increased and the resistance increased. The results indicated that the ion concentration decreased and the ion-exchange reaction intensity decreased significantly with the addition of deionized water.
4.2. Bode Plot Analysis
Figure 7 shows the frequency-impedance modulus plot for the leaching process of ion-adsorption rare earth.
It can be seen from
Figure 7 that the impedance modulus values in the four stages of the leaching process had a consistent decreasing with the frequency. In the frequency range of 10
-1-10
2, the curvature of the curve was large and the impedance modulus decreased linearly. In the frequency range of 10
2-10
3 Hz, the curvature of the curve and the impedance modulus decreased slowly. In the frequency range of 10
3-10
6 Hz, the change amplitude of the impedance modulus was small and tended to a certain value. During the leaching process, the impedance modulus decreased continuously in the wetting and reaction stages, then dropped to the lowest value and tended to be stable in the equilibrium stage. When deionized water was added, the impedance modulus gradually increased and tended to be stable in the final stage of top water.
As shown in
Figure 8, the phase angle of the leaching process varies in the interval of 0-80°. In the wetting stage, the phase angle decreased with the frequency. The phase angle decreased rapidly when the frequency was 10-10
3 Hz, and then decreased slowly when the frequency was less than 10 and more than 10
3 Hz. In the reaction stage, the phase angle tended to increase first, then decrease and increase again. The phase angle increased rapidly and reached the peak when the frequency was less than 10 Hz, the phase angle decreased rapidly to nearly 0° when the frequency was 10-10
3 Hz, and the phase angle increased again when the frequency was greater than 10 Hz. In the equilibrium stage, the phase angle peaked at 10
-1-10 Hz, decreased rapidly within 10-10
3 Hz and remained basically stable within 10
3-10
6 Hz. In the top water phase, the phase angle showed an overall decreasing trend, with a slight decrease within 0-10 Hz, followed by a rapid decrease within 10-10 kHz, and remained relatively stable within 10 k-1000 kHz. The wetting and equilibrium phases each had a peak, and the peak in each equivalent circuit corresponded to one time constant, indicating that time constants existed in both reaction phases [
45].
4.3. Equivalent Circuit Parameter Analysis
The Nyquist and Bode plots were fitted using Zahner Analysis software, and each equivalent circuit element parameter was fitted to obtain a fitting error of essentially less than 5%, as shown in
Table 3.
According to
Table 3, the trend diagram of solution resistance and charge transfer resistance during leaching was drawn, as shown in
Figure 9.
Rs is the solution resistance, which mainly reflects the conductivity of the pore solution electrolyte of the orebody. The pore solution resistance is great and pore solution is difficult to conduct electricity when the Rs is large, which relates to the pore liquid and size [
46,
47]. From
Table 3 and
Figure 9, it can be seen that the solution resistance decreased at first and then increased during the leaching process. The solution resistance was 939Ω ∙cm
2 at the wetting stage(30min), reached the minimum value of 135Ω ∙cm
2 at the equilibrium stage(90min) and reached the maximum value of 1330Ω ∙cm
2 at the top water stage(350min). It could be calculated that the ore sample was unsaturated with an unstable internal structure at the wetting stage. The pores inside the ore sample contained a large amount of gas, and micro and small holes dominated the pore structure. The pore connectivity between clay minerals was poor, and the pore solution had poor electrical conductivity, so the initial resistance value was considerable. From the beginning of the wetting stage to the 90th minute of the equilibrium stage, the addition of ammonium sulfate leach made the orebody transition from an "unsaturated state" to a "saturated state". The gas in the pores was gradually replaced by pore solution, and the pore solution volume, the saturation and the conductive path 2 in
Figure 2 increased. The micro and small pores in the ore body evolve into medium and large pores under the action of seepage, and the pore size of the ore body increased, the seepage effect was enhanced, and the solution connectivity was improved [
48,
49,
50,
51,
52]. Due to the continuous addition of ammonium sulfate leaching solution, the number of ions in the pore solution increased, and the improvement of pore connectivity led to the increase of the freely moving anions number in the solution, so the conductive capacity of the solution was enhanced.
From the 90th to the 250th minute of the equilibrium stage, the solution resistance fluctuated within 135-154 Ω∙cm2 and showed a steady increase trend. The solution resistance in the equilibrium stage was significantly lower than that in the other three stages, indicating that an effective ion-exchange reaction was happening in the equilibrium stage. At the same time, the ore body had reached saturation [
53] and the number of ions in the solution was relatively stable. Nevertheless, the pore structure of the ore body changed due to the ion-exchange reaction. The macropores number and the porosity decreased [
54] and the solution connectivity deteriorated, which resulted in a slight increase in solution resistance with time in this stage. In the top water stage, the solution resistance showed a significant increasing trend due to the addition of deionized water inside the ore body. The ammonium sulfate solution and residual rare earth ions in the pore space were continuously discharged. The conductivity of deionized water was less than that of ammonium sulfate solution, so the resistance increased.
Rt is the charge transfer resistance, reflecting the ability of ions in the diffusion zone to complete charge transfer on the surface of ore body particles and the speed of electrochemical reaction [
55], which is mainly determined by the ion concentration gradient and the adsorption characteristics of the ore body particles surface [
24,
26,
27]. In the ion-exchange process, the ion-exchange reaction occurring on the surface of mineral particles desorbed rare earth ions to the binding liquid layer, resulting in a sharp increase in their concentration in the binding liquid layer. The adsorption of ammonium ions to mineral particles led to a rapid decrease in their concentration in the binding liquid layer, resulting in an apparent concentration gradient between the two layers, which promoted the directional migration of the two ions [
56,
57]. As shown in
Table 3 and
Figure 9, Rt generally presented a trend of first decreasing and then increasing, from the maximum value of 8,310ω ∙cm2 in the wetting stage to the minimum value of 21Ω∙cm2 at the 80th minute of the reaction stage. Rt reached 338Ω∙cm2 at the end of the top water, and the resistance value in the equilibrium stage was close to the minimum value with a slight change.
According to the analysis above, it can be seen that at the beginning of the wetting stage, as the leaching solution entered the ore body, it took some time for the solution to penetrate into the ore body and diffused to the surface of the ore body particles to arise.
ion-exchange reaction. Therefore, the initial charge transfer was difficult, and the resistance value had an instantaneous maximum value. In the wetting and reaction stage, the number of ions in the ammonium sulfate solution increased and continuously entered the "diffusion double layer " region on the surface of the particles with the continuous penetration of the leaching solution, which led to the exchange of RE3+ and NH4+. In this process, the number of charges in the diffusion layer at the solid-liquid interface increased continuously, forming a significant concentration difference and promoting charge transfer. Meanwhile, according to the leaching reaction equation (1), nRE3+ (aq) resolved from the surface of the mineral particles and then continuously flowed out with the leaching solution, which promoted a positive reaction. The electrical resistance value showed a significant decrease [
28] and reached a minimum value at the end of the reaction stage. From the 80th to the 100th minute, the resistance was minor and close to the minimum value, indicating that the ion-exchange reaction was dominant in this period. The ore body was interfered by external factors quickly, but the degree of interference was basically the same, so the resistance value changed little.
From the 100th minute of the equilibrium stage to the end of the equilibrium stage, the charge translation resistance increased in general and fluctuated up and down irregularly. During this period, the ion-exchange reaction continued, but the ion migration in the solution was hindered due to the decrease of porosity. Therefore, the number of ions in the diffusion layer at the solid-liquid interface decreased, the charge migration was inhibited and the resistance increased. As more and more rare earth ions were replaced, the amount of negative charge carried on the surface of mineral particles increased and the water film become thicker, which led to stronger retention effect on the fluid, weaker penetration effect and lower charge transfer ability. However, compared with the other three stages, the "effective leaching" mainly occurred in ion-exchange reaction, so the resistance was small. In the top water stage, the addition of deionized water led to a decrease in the concentration of ions in the solution, and the continuous occurrence of leaching reaction also reduced the content of rare earth ions in the ore body, resulting in a significant decrease in the number of ions in the diffused double electric layer. The charge transfer became difficult, and the resistance value increased continuously until the end of the top water.