3.1.1 Electroreduction mechanism of Pr3+ after the addition of KF
Figure 1(a) exhibits the cyclic voltammograms recorded in LiCl-KCl molten salt before and after adding PrCl3 (6.60×10− 5 mol cm− 3) at 773 K and scan rate of 0.10 V s− 1. In the dotted line measured in LiCl-KCl blank salt, a couple of peak of R1/O1 can be observed at -0.04 V/0 V, which pertains to the formation and dissolution of metallic Li. After adding PrCl3 into the molten salt (blue solid line), in addition to the reduction/oxidation peak R1/O1, a new couple of reduction/oxidation peaks R2/O2 appears at 0.4 V/0.49 V, pertaining to the formation and dissolution of Pr metal. It can be found that only a pair of new reduction and oxidation peaks appears after the addition of PrCl3, it is inferred that the formation and oxidation reactions of Pr on W electrode are a one-step three-electron reaction.
$$P{r^{3+}}+3{e^ - } \rightleftharpoons Pr$$ 1
After adding KF (k = 1) in the molten salt (red line), obviously, the cyclic voltammogram shows a reduction/oxidation peak, which is consistent with blue line. It is inferred that the reduction mechanism of Pr3+ ions is a one-step process with exchanged 3-electron.
To investigate the impact of KF on the reduction mechanism at different molar concentration ratio of F− to Pr3+(k), the number of exchanged electrons (n) for reversible system can be estimated by SWV technique as follows [32]:
n = 3.52RT/FW1/2 (2)
where R represents the gas constant, J mol− 1 K− 1; T denotes the temperature, K; F is the Faraday constant, C mol− 1; W1/2 designates the peak width at half, mV.
Figure 2 shows the square wave voltammograms measured at frequency of 30 Hz and different k (k = 0, 1, 2, 3, 4). Clearly, the reduction peak potential shifts negatively with the increase of k. The calculated n is listed in Table 1, which shows that n is close to 3, indicating that after the addition of KF in the molten salt, the reduction of Pr3+ ions is still one-step 3-electron process.
Figure 3(a) shows the reverse chronopotentiogram of Pr3+ recorded in LiCl-KCl-PrCl3 molten salts at ± 30 mA and 773 K. There are two potential plateaus in the reverse chronopotentiogram appear at 0.391 V and 0.467 V, respectively, ascribed to the reduction and oxidation of Pr3+ ions. The transition times related to the reduction and oxidation reactions are obtained to be τ1 = 1.11 s and τ2 = 1.13 s by making a tangent, as shown in Fig. 3(a). The transition times of the reduction and the oxidation processes were almost equal, indicating that the reduction process of Pr3+ ions is a one-step 3-electron transfer process. Figure 3(b) shows the reverse chronopotentiogram of Pr3+ ion recorded in LiCl-KCl-PrCl3-KF molten salts at k = 1 and ± 30 mA. The transition times related to the reduction and oxidation processes are obtained to be τ1 = 1.08 s and τ2 = 1.13 s, which indicates that the reduction process of Pr3+ is a one-step three-electron transfer process. The result can further confirm that the addition of KF has no impact on electrochemical reduction mechanism of Pr3+.
Figure 3(c) presents the chronopotentiograms of Pr3+ ions recorded when KF was added in the molten salt at different k (k = 0, 1, 2, 3, 4). Clearly, with the increase of k, the reduction potentials shift negatively, which is in line with results shown in Fig. 2. The reason for the negative potential shift is that the radius of F− is smaller than Cl−, and the complexing ability of F− with Pr3+ ions is stronger than Cl−, so F− can replace Cl− around Pr3+ ions and form a Pr-F bond. Since the bond energy of the Pr-F bond is larger than that of the Pr-Cl bond, the formation of Pr requires greater energy, resulting in a negative shift in the peak potential of the deposition.
3.1.2 Kinetic properties of Pr3+/Pr couple after the addition of KF
The effect of KF on diffusion coefficient of Pr3+ was investigated. Figure 4 shows cyclic voltammograms of LiCl-KCl-PrCl3-KF molten salts at different molar concentration ratio of F− to Pr3+ (k = 0, 1, 2, 3, 4) and scan rates. With the increase of scanning rate, the anodic/cathodic peak current increases and peak potential moves to positive/negative direction. As the increase of k, peak current decreases, and peak potential moves negatively.
Figure 5 shows the changes of the peak current and potential of Pr3+/Pr at different scanning rates and k. As can be senn from Fig. 5a that with the increase of k, the peak potential of R2 moves negatively; when the scanning rate less than 1.0 V s− 1, the peak potential of R2 hardly changes with logv, indicating the reduction of Pr3+ is reversible process. When the scanning rate is larger than 1.0 V s− 1, the peak potential moves negatively, indicating the reduction of Pr3+ is quasi-reversible process at different k (k = 0, 1, 2, 3, 4). The cathodic peak current (Ipc) decreases with the increase of k, and Ipc has a good linear relationship with v1/2, showing that the control step is diffusion-controlled process (see Fig. 5b).
Since the reduction of Pr3+ is reversible process at scanning rate less than 1.0 V s− 1, the diffusion coefficient can be measured employing the Berzinse-Delahay equation [33].
$${I_{\text{p}\text{c}}}= - 0.611{\left( {\frac{{{F^3}}}{{RT}}} \right)^{1/2}}{n^{3/2}}{D^{1/2}}CS{v^{1/2}}$$ 3
Where Ipc is the cathode peak current, A; v is the scanning speed, V s− 1, other physical quantities have the same meaning as mentioned above.
The diffusion coefficients of Pr3+ ions at different k are computed according to the formula (3) and presented in Table 1. The results indicate that as the increase of k, the diffusion coefficient of Pr3+ decreases. The reason can be explained as follows: According to formula 3, when other conditions are constant, the diffusion coefficient is proportional to Ipc. Based on the above discussion, Ipc decreases with the increase of k, thus, the diffusion coefficient decreases accordingly.
Cyclic voltammetry was also conducted in LiCl-KCl-PrCl3 molten salt at different k on W electrode in the temperature range of 803–863 K, as shown in S1. The diffusion coefficients of Pr3+ at different k and temperatures are computed and listed in Table 1. The results show that under the same temperature, the diffusion coefficient gradually decreases with augmenting k; and under the same k, the diffusion coefficient gradually increases with the elevating temperature. Compared with the diffusion coefficient of Pr3+ in LiCl-KCl molten salt without adding F−, our results are of the same order of magnitude 10− 5 [20–23]. Moreover, the relationships between lnD and reciprocal temperature at different k are plotted and presented in Fig. 6. The linear relationships at different k are observed and follow Arrhenius's law.
4
Where D0 is the pre-exponential factor, Ea denotes the diffusion activation energy.
According to the linear slope, the evaluated diffusion activation energies at different k are also presented in Table 1. Obviously, with the continuous addition of KF, the diffusion activation energy of Pr3+ gradually increases. Compared with the diffusion activation energy of Pr3+ in LiCl-KCl molten salt without adding F−, our result is slightly larger than that estimated by Yin et al. [22].
Table 1
Diffusion coefficient of Pr3+ in LiCl-KCl molten salt at different k.
T/K
|
D×10− 5/ cm2 s− 1
|
Activation energies
/kJ mol− 1
|
773
|
803
|
833
|
863
|
0
|
3.60
|
5.33
|
6.32
|
6.55
|
40.944
|
1
|
2.58
|
3.99
|
4.53
|
5.9
|
47.575
|
2
|
1.54
|
2.26
|
2.84
|
4.33
|
57.247
|
3
|
1.49
|
1.83
|
2.35
|
3.99
|
62.908
|
4
|
1.22
|
1.79
|
2.33
|
3.95
|
71.621
|
The impact of KF on dynamic properties of Pr3+/Pr couple was investigated using the Butler-Volmer formula[34] when the overpotential ƞ is very small (|η|<10 mV).
5
Where j is the current density, j0 represents the exchange current density, A cm− 2; n, F, R and T were mentioned above.
The LP technique based on formula (5) displays a linear relationship of j with ƞ in a small overpotential near the equilibrium potential of Pr3+/Pr couple. Therefore, the exchange current density (j0) can be computed by the linear slope. Meantime, the charge transfer resistance (Rct) can be obtained employing the following expression:
$${R_{{\text{ct}}}}=\frac{{RT}}{{nF{j_0}}}$$ 6
Therefore, LP method was applied to measure j0 of Pr3+/Pr couple. Firstly, metallic Pr was deposited on W electrode at 773 K by applying potential 0.32 V for 30 s at different k. Then, the power was turned out, the electrode was still in the molten salt, and the metallic Pr deposited on W electrode starts to dissolve. During this process, when the composition of the electrode surface is within the range of a two-phase coexisting state, a potential plateau is observed. Thus, the equilibrium potentials of Pr3+/Pr at different k and different temperatures were measured and are listed in Table 2. Obviously, the equilibrium potentials shift to negative direction with the increase of k and to positive direction with the rising temperature. Then, in the over-potential range of ± 5 mV, LP measurement was conducted at scan rate of 5 mV s− 1 and is presents in Fig. 7. The linear relationship of j with ƞ can be observed. Using the linear slope of j with ƞ, j0 can be obtained, and charge transfer resistance is computed employing formula (6). They are listed in Table 2. With the increase of k, the j0 reduces, the charge transfer resistance increases, while with the rising temperature, j0 increases, the charge transfer resistance decreases.
The change of ln(j0) with temperature shows a good linear relationship, as shown in the inset of Fig. 7. According to formula (8), the activation energy Ea of Pr3+/Pr couple at different k on W electrode can be computed. They are also listed in Table 2.
$$\text{l}\text{n}{j_0}=-{E_\text{a}}/RT+\text{l}\text{n}A$$ 8
Where Ea denotes the activation energy, kJ mol− 1; A represents the pre-exponential factor.
Table 2
The equilibrium potential and kinetic data of Pr3+/Pr pair at different k.
k
|
773 K
|
803 K
|
833 K
|
863 K
|
Activation energies
/kJ mol− 1
|
Eeq/V
|
j0/A cm− 2
|
Rct/Ω
|
Eeq/V
|
j0/A cm− 2
|
Rct/Ω
|
Eeq/V
|
j0/A cm− 2
|
Rct/Ω
|
Eeq/V
|
j0/A cm− 2
|
Rct/Ω
|
0
|
0.400
|
0.031
|
0.720
|
0.413
|
0.031
|
0.730
|
0.423
|
0.032
|
0.760
|
0.434
|
0.033
|
0.740
|
8.37
|
1
|
0.398
|
0.027
|
0.800
|
0.410
|
0.030
|
0.770
|
0.422
|
0.031
|
0.760
|
0.430
|
0.033
|
0.760
|
10.32
|
2
|
0.390
|
0.084
|
0.840
|
0.400
|
0.029
|
0.800
|
0.417
|
0.024
|
0.990
|
0.420
|
0.024
|
1.020
|
15.98
|
3
|
0.383
|
0.019
|
1.180
|
0.394
|
0.019
|
1.210
|
0.409
|
0.021
|
1.140
|
0.423
|
0.023
|
1.070
|
17.47
|
4
|
0.376
|
0.018
|
1.240
|
0.385
|
0.018
|
1.270
|
0.399
|
0.019
|
1.290
|
0.406
|
0.019
|
1.900
|
21.34
|
As can be seen that with the continuous addition of KF, the activation energy of the reaction gradually increases, resulting in a decrease in the reaction rate. The reason why the reaction activation energy gradually increases is that Pr-F bond is more stable than the Pr-Cl bond. The electrodeposition of Pr require higher energy to break Pr-F bonds.