3.4.1. Cyclic Voltammetry
To gain insight into the electrochemical behavior of NTO-8h and NTO-48h as anode materials, cyclic voltammetry was carried out in the voltage range of 0.05-1.5 V
vs Na
+/Na (
Figure 4a-b). The general shape of the CV curves is comparable to results reported in several previous studies [
13,
16,
18,
39]. During the first reduction process (red), two peaks corresponding to Na
+ insertion at 0.10 and 0.05 V for NTO-8h and at 0.09 and 0.05 V for NTO-48h which is consistent with the literature [
13]. The additional reduction peak at higher voltage of 0.41 V (NTO-8h) or 0.38 V (NTO-48h) is attributed to the formation of SEI (Solid Electrolyte Interface) and side reactions with carbon black [
2,
13,
15,
18,
19]. During the next cycles, the reduction peak corresponding to the SEI layer formation and side reactions is not anymore observed and the Na
+ insertion peaks at 0.05 V and 0.17 V can be still present. These results are very similar to the results of Kulova
et al. [
13], who also showed two peaks of sodiation at 0.04 and 0.12 V.
By contrast, the oxidation process for NTO-8h is very different than for NTO-48h. For NTO-8h, at the first cycle, oxidation occurrs in three steps: 0.30 V, 0.38 V, and 0.46 V. The previous investigations [
13] reported the presense one peak at 0.33 V, which was described as a superposition of two or three peaks. In this study, the peak at 0.30 V is more intense than the other peaks and decreases gradually during the following cycles. The second peak at 0.36 V seems to disappear progressively in favor of the peak at 0.45 V up to complete extinction at the fourth cycle. According to the literature, this phenomenon can be related to the irreversibility of Na
+ extraction process but also to the structural evolution and phase modifications [
13,
15].
For NTO-48h, at the first cycle only two peaks are noticeable at 0.31 and 0.40 V. As for NTO-8h, the intensity of the first peak diminished progressively over the cycles. At the second cycle, the peak at 0.40 V vanished and another one appeared at 0.45 V. The third cycle (in blue) is different because a new peak at 0.37 V (not well marked, as for NTO-8h) appereas. The intensity of these two new peaks increases gradually in the fourth and fifth cycles. This result is similar to the observations of Rudola
et al. [
15], where the oxidation peak at 0.28 V decreased, while the intensity of the one at 0.44 V increased. These phenomena could be related to structural changes during electrochemical cycling [
16] but also to the multi-step sodium insertion/extraction process that implies the formation of an intermediate phase Na
4-xTi
3O
7 [
13,
21]. This will be further discussed in
Section 3.4.4.
3.4.2. Galvanostatic Cycling
The electrochemical performance at different cycling rates (from C/5 to 2C) of NTO-8h and NTO-48h was evaluated within a voltage window of 0.05-1.5 V
vs Na
+/Na (
Figure 4c). The firs discharge capacity is very high 299 mAh/g for NTO-8h and 222 mAh/g for NTO-48h then decreases significantly during the following cycles. This very high initial capacity can be attributed to the SEI formation, as previously mentioned. However, it seems that less side reactions occurred during this first cycle for NTO-48h material, as the lower intitial capacity is than for NTO-8h. This could be related to the difference in surface chemistry and/or surface reactivity between both samples. Indeed, XPS measurements demonstrated less surface contaminations for NTO-48h.
The capacity loss between the first and the second cycle was much more important for NTO-8h (48.6%) than for NTO-48h (21.8%). This capacity decrease is well-known for NTO electrodes and usulally reported principal reasons are the side reactions with carbon black and the formation of an unstable SEI layer [
11,
13,
15,
18,
19]. Kulova
et al. [
13] also mention that the alteration of the particles could be caused by their splitting during cycling. When increasing the cycling rate, NTO-48h still exhibits the higher capacities than NTO-8h. Indeed, the capacities at the second cycle (at indicated cycling rate) are 173 and 153 mAh/g (C/5), 130 and 114 mAh/g (C/2), 93 and 76 mAh/g (1C), 55 and 34 mAh/g (2C) for NTO-8h and NTO-48h, respectively.
The corresponding voltage profiles were very analogous for both calcination times (
Figure 5 a, c). Three plateaus are observed during the first discharge (red curves). The first one at about 0.50 V is attributed to the SEI layer formation and side reactions occurring with carbon black [
11,
13,
15,
18,
19,
40]. This phenomenon is not visible anymore in the subsequent cycles, which agrees with the CV results presented above. Then, looking at lower potential, Na
+ ions undergo the insertion in two step-process: at about 0.20 and 0.10 V, in agreement with previous works on NTO anode [
13,
39,
40].
For NTO-8h, the following discharge curves display only one plateau at about 0.20 V (
Figure 5 a, c). This also agrees with studies of Kulova
et al. [
13] and Bhardwaj
et al. [
39], in which this behavior was attributed to instability and structural changes of the material during cycling. According to the work of Rudola
et al. [
21], this could also imply a mechanism with different pathways for the sodium insertion/extraction, i.e., a multi-step mechanism. By contrast, for NTO-48h, the other discharge curves still exhibit two plateaus for Na
+ ions extraction.
A two-step process can be observed for both samples at the charge rate of C/5: a short plateau at 0.30 V and a longer one at 0.40 V (
Figure 5a,c), corresponding to the sodium extraction from the NTO materials.
At higher cycling rate, the discharge curves (
Figure 5b,d, second cycle at the indicated rate) show less horizontal (flat) insertion plateaus. Kulova
et al. [
13] attributed these phenomena to the presence of a non-equilibrium solid solution at the surface of the NTO particles that can lead to the increased resistance at the surface of the electrode material and the polarization of the electrode. It was also reported that the cycling rate directly influenced the electrochemical phenomena within NTO material [
13] and it was also observed for Li-ion batteries [
41,
42].
Further differences between NTO-8h and NTO-48h during sodium insertion were observed. For NTO-8h at the discharges of C/2, 1C and 2C rates one plateau at 0.2 V (
Figure 5b) can be observed, while NTO-48h displays two plateaus for Na
+ extraction at 0.2 and 0.1 V (
Figure 5d). Charge curves show two sodium extraction plateaus for both materials (
Figure 5b, d): a first very short plateau at about 0.3 V and a second longer one at about 0.4 V. Polarization effect increases with the cycling rate.
The difference in electrochemical behavior between NTO-8h and NTO-48h is discussed in more detail in
Section 3.4.3 presenting
operando XRD analyses and
Section 3.4.4 presenting the EIS analyses.
For the long-term cycling at 1C rate (
Figure 6), the NTO-48h material delivers higher capacities than NTO-8h material, over the 400 cycles. Moreover, the fluctuations of the capacity values are similar to the results of Bhardwaj
et al. [
39].
One reason for the higher electrochemical performance of NTO-48h compared to NTO-8h during the rate capability tests and long-term cycling could be the more ordered structure for NTO-48h as described in
Section 3.1. Therefore, NTO-48h would display more resilience to the sodium-ion insertion/extraction phenomena than NTO-8h.
3.4.3. Study of the Reaction Mechanism by Operando XRD
To better understand the improved electrochemical performance of NTO-48h in comparison to NTO-8h, both electrode materials were investigated by
operando XRD during two first electrochemical cycles (
Figure 7,
Figure S3, and
Figure S4). The evolution of the XRD patterns with cycling at a C/20 rate is shown in
Figure S3 and
Figure S4, where each diffractogram was recorded for one hour. The evolution of the sodium insertion into the NTO materials is summarized in
Figure 7.
For both samples, no change appeared during the 25 first diffractograms (up to 0.2 V) (
Figure 7). This result was expected as the first discharge plateau at around 0.6 V corresponds, as already mentioned, to the SEI formation during the first discharge and to the side reactions with carbon black. The peaks were indexed by Na
2Ti
3O
7, and by Be and BeO, which correspond to the cell contribution (
Figure S3 and
Figure S4).
Then, the sodium insertion into NTO material started at 0.2 V (27 h for NTO-8h and NTO-48h). To set the cycling rate at C/20, a current is applied in a defined voltage window such as, theoretically, the (dis)charge duration should take 20 hours. However, in practice, the charge and discharge time can be more or less than 20 hours, due to side reactions (such as SEI formation and the intercalation of Na
+ ions only in part of the material, respectively), and additional peaks gradually appear in the XRD patterns at 16° 2θ, 25° 2θ, 27.8° 2θ and 35.5° 2θ. At 0.1 V (30 h for NTO-8h and 32 h for NTO-48h), two supplementary peaks were gradually visible at 23.6° 2θ and 39.5° 2θ. This indicates a two-step sodium insertion, as described in the literature by several groups [
13,
15,
16]. Moreover, this also corresponds to the study of Rudula
et al. [
21], who reported an
ex situ XRD analysis of NTO material discharged to various potentials. The first series of peaks was attributed to the partially discharged material Na
4-xTi
3O
7 (purple arrows in
Figure S3 and
Figure S4) and the second one to the fully discharged Na
4Ti
3O
7 material (green arrows in
Figure S3 and
Figure S4). The evolution of the peak intensities with the potential is qualitatively depicted by the gradually colored rectangles in
Figure 7, where discharge and charge data are traced in black and in blue, respectively.
During the first charge, in NTO-8h and NTO-48h, the intermediate phase Na
4-xTi
3O
7 disappeared step by step. However, regarding the fully discharged phase Na
4Ti
3O
7, a major difference emerged between two NTO materials. If the corresponding XRD peaks disappeared in NTO-48h at the end of the charge process, Na
4Ti
3O
7 remained present even at the end of the charge for NTO-8h. This result indicates that Na
+ ions were not fully extracted from the NTO-8h structure during the first charge. Some irreversibility in Na
+ extraction was also reported in the literature [
13,
15].
Examining the second discharge, the Na
+ ions were well intercalated in the NTO materials. Indeed, the intensity of the Na
4Ti
3O
7 XRD peaks gradually increased from 0.2 V for NTO-8h and NTO-48h. Nevertheless, the peaks of Na
4-xTi
3O
7 did not appear as in the first discharge, neither for NTO-8h nor NTO-48h. This is coherent with the study of Rudola
et al. [
21], who reported the loss of the Na
2Ti
3O
7 → Na
3-xTi
3O
7 pathway in favor of the direct reaction Na
2Ti
3O
7 → Na
4Ti
3O
7.
During the second charge, the same phenomenon as in the first charge occurred: the Na+ ions were not completely extracted from NTO-8h structure, whereas the fully extracted Na2Ti3O7 material is recovered for NTO-48h.
The
operando XRD data were further analyzed by Rietveld refinement method. The lattice parameters were not evaluated during charge/discharge. The calculation of the Site Occupation Factors (SOF) for sites Na1 and Na2 (see Na1 and Na2 sites in
Section 3.1) was also performed. However, because of the low resolution of the
operando XRD data, getting accurate values was difficult and overcame the frame of this study. Therefore, SOF values were used to get qualitative information. The SOF evolution was plotted versus time using the
operando electrochemical measurements (
Figure S5). The NTO-8h material displayed nearly no variation in SOF. The most probable reason for this is that the Na
+ ions are trapped into the NTO structure during the charge. By contrast, SOF of the NTO-48h material exhibited much more changes, related to the total insertion and extraction of the additional Na
+ ions observed for this material.
3.4.4. Electrochemical Impedance Spectroscopy (EIS) Studies
Electrochemical impedance spectroscopy is a powerful and widely used non-destructive method used for the characterization of alkali-ion batteries and study the kinetics and electrochemical reaction mechanisms. In batteries, the ionic conduction in the electrolyte solution and electronic conduction through the particles may cause ohmic losses, as such the different contributions to the ohmic loss must be investigated. In this work, we carried out EIS measurements to compare the SEI and charge transfer resistance evolution in NTO-8h and NTO-48 electrodes, as well as to investigate the reasons for capacity fading upon cycling.
EIS tests for NTO-8h and NTO-48h at different voltage steps in the first two cycles were conducted. The impedance spectra at OCV (
Figure 8a) include a high frequency semicircle with a loop at the medium frequency and an inclined line in the low-frequency region illustrating a capacitive behavior in the cell. This relates to the blocking character of the electrode at equilibrium potential due to the large charge transfer resistance coupled with double-layer capacitance.
A closer look at the spectra in the inset of
Figure 8a shows that the spectra go into the negative values for the real part of impedance which is physically not possible. This originates from the presence of the loop in the medium frequency region that influences the way the effect of the current passing through both double layer capacitance and charge transfer resistance appears in the impedance spectra. Using EIS, it is possible to unambiguously distinguish between resistance and capacitance in the system. The resistance of the system is independent of the frequency, but capacitance is inversely dependent on it [
43]. As shown in
Figure S6, the impedance (
evolution does not follow the inverse dependency as it should. As the frequency decreases
the impedance response,
only increases up to the second point at 120 Hz and then decreases at 2 Hz. Before further analysing the loop, we clarified that this feature is not a measurement artifact and checked the EIS data accuracy and validity. The easiest way to check this was to perform Kramers-Kroning test, a powerful tool to identify artifacts errors in a spectrum, which are mathematical relations for the real and imaginary components of a complex system that define it as linear, causal, stable, and finite. There is an excellent correlation between experimental results and the Kramers-Kronig fit with a χ
2 error statistic of only 0.003-0.005, showing no drift. As a result, the loop in the impedance spectra will have to be represented geometrically in the equivalent circuit.
The equivalent circuit used to fit the impedance response of NTO-8h and NTO-48h is shown in
Figure 8f. R
s represents the internal resistance value of the bulk materials in a battery, such as the current collector, electrolyte, and separator. R
SEI and Q
SEI are resistance and constant phase element related to the SEI. R
ct and Q
dl are charge transfer resistance and constant phase element related to electric double-layer capacitance on active materials. R
L' , R
L", Q
L and L are resistance, constant phase element, and inductance to represent an inductive loop geometrically but not a physical element. The origin of the inductive loop at low frequency has been a discussion point in literature and has mainly been related to the formation of passivation layers or the appearance of alkali ion-rich and poor regions [
44]. The complete results of the equivalent circuit fitting illustrated by Nyquist plots for the NTO-8h in the first and second cycle, as well as NTO-48h in first and second cycle, are represented in
Figure S7,
Figure S8,
Figure S9 and
Figure S10, respectively.
The comparison between the impedance response at OCV and at 0.4V and 0.5V for NTO-8h and NTO-48h, respectively, show that the inclined line resulted from the blocking character of the electrode at OCV is bending toward the real impedance axis and forms a semicircle as the charge transfer resistance coupled with double layer capacitance is slightly decreased. The sluggish motion of electrons within the pristine materials results in the charge transfer resistance to remain very large (>848 Ω) for both NTO-8h and NTO-48h electrodes. The change in the form of the impedance spectra is more apparent at 0.2V in discharge where the appearance of the Na
4-xTi
3O
7 phase was evidenced by XRD measurements (
Figure 7). In the first discharge and upon sodiation of Na
2Ti
3O
7, the Ti
4+ states in NTO materials are gradually transformed into the more electronically conductive Ti
3+/Ti
4+ mixed valence states in Na
4-xTi
3O
7 and Na
4Ti
3O
7 [
45]. As such, the overall electronic conductivity increases, and charge transfer resistance substantially decreases at 0.2 V in discharge as manifested in
Figure 8g-h. The charge transfer resistance decrease is more significant in NTO-48h that translates to improved performance and higher capacity. The charge transfer resistance however increases in both NTO-8h and NTO-48h at 0.1 V, due to the formation of Na
4Ti
3O
7 phase. As mentioned earlier the Na atoms are localized in two types of crystallographic sites in the NTO material so the insertion of Na
+ and formation of Na
4Ti
3O
7 phase in the first cycle results in charge transfer build up. Na
4Ti
3O
7 remained present even at the end of the charge for NTO 8h where nearly no variation in SOF for Na1 and Na2 was observed. The Na
+ ions that are trapped into the NTO structure during the charge step result in a huge increase in charge transfer resistance as shown in
Figure 8. The Nyquist plot at the end of the charge shows large charge transfer resistance coupled with double-layer capacitance for both NTO-8h and NTO-48h. However, the charge transfer resistance at the initial stage of discharge for the second cycle in considerably lower in NTO-48h since the Na
+ ions could be extracted easily and the Na
4Ti
3O
7 phase is no longer present.
In addition to the changes in charge transfer resistance in the kinetically controlled impedance region, the Na
+ ion diffusion in the low frequency in the mass transport-controlled region is dominant and shows the most changes in resistive and capacitive behaviors.
Figure S11, shows the Bode plots of the NTO-8h and NTO-48h electrodes at different discharge and charge steps in the first cycle. The phase angle as a function of frequency can be used to visualize the relative contributions of capacitive and resistive elements, with ideal capacitance at φ = –90°, and resistive processes indicated by φ = 0. The phase angle in the beginning of discharge and end of charge suggests a capacitive behavior and a resistive behavior with improved conduction of electrons across and through the electrode as well as less diffusion limitations in other parts of charge and discharge.
The characteristics of the SEI layer were also studied at different states of charge/discharge for both NTO-8h and NTO-48h. The fitted data show R
SEI of 19.8 Ω and 10.58 Ω for NTO-8h and NTO-48h, respectively. The resistive preliminary SEI of NTO-48h is transformed into a more conductive SEI layer at 0.1 V in discharge. At the end of discharge at 0.05 V, R
SEI for NTO-8h is 24.5 Ω which is higher than 7.4 Ω for the NTO-48h. This highlights the difference in the thickness and characteristics of the SEI layer in NTO-8h and NTO-48h. The evolution of the SEI resistance in the first charge step and the second cycle in NTO-48h, as well as the increase in R
s, suggest additional electrolyte consumption and decomposition resulting in capacity fading over long-term cycling as shown in
Figure 6.