Strong Anionic Repulsion for Fast Na Kinetics in P2‐Type Layered Oxides

Abstract An intriguing mechanism for enabling fast Na kinetics during oxygen redox (OR) is proposed to produce high‐power‐density cathodes for sodium‐ion batteries (SIBs) based on the P2‐type oxide models, Na2/3[Mn6/9Ni3/9]O2 (NMNO) and Na2/3[Ti1/9Mn5/9Ni3/9]O2 (NTMNO) using the “potential pillar” effect. The critical structural parameter of NTMNO lowers the Na migration barrier in the desodiated state because the electrostatic repulsion of O(2p)—O(2p) that occurs between transition metal layers is combined with the chemically stiff Ti4+(3d)—O(2p) bond to locally retain the strong repulsion effect. The NTMNO interlayer distance moderately decreases upon charging with oxygen oxidation, whereas that of NMNO decreases at a much faster rate, which can be explained by the dependence of OR activity on the coordination environment. Fundamental electrochemical experiments clearly indicate that the Ti doping of the bare material significantly improves its rate capability during OR, and detailed electrochemical and structural analyses show much faster Na kinetics for NTMNO than for NMNO. A systematic comparison of the two cathode oxides based on experiments and first‐principles calculations establishes the “potential pillar” concept of not only improving the sluggish Na kinetics upon OR reaction but also harnessing the full potential of the anionic redox for high‐power‐density SIBs.

DOI: 10.1002/advs.202206367 as a crucial task in the development of electric vehicles (EVs) and grid-scale energy storage systems. Accordingly, a new redox paradigm based on oxygen ions was suggested to overcome the energy limitations of traditional cationic redox reactions utilizing transition metals (Ms) in oxide-based cathode materials, and its promising electrochemical properties were confirmed by various experiments and computations. [1][2][3][4] Based on the fact that the electronic structure of Mn 4+ ions at an octahedral site coordinated with six oxygen ions is not further oxidizable to Mn 5+ , a representative Liexcess model, Li 2 MnO 3 or Li[Li 1/3 Mn 2/3 ]O 2 , has been extensively studied to harness the full potential of the oxygen redox (OR) upon charging and discharging. [5][6][7] To broaden the possibility of OR reactions, Li 2 MnO 3based Li-rich layered oxides and even 4dand 5d cathode models, such as Li 2 RuO 3 and Li 2 IrO 3 were investigated. [8][9][10][11][12][13] On the other hand, there is a lack of studies on ways to achieve a high power density in OR-based layered oxides to meet the fast-charging demands of EVs. [14] From the perspective of fast charging, one of the most important factors in increasing the electrochemical rate performance is the interlayer distance (which can also be expressed as the AO 2 spacing, where A refers to alkali metals such as Li + and Na + ) between the M layers in layered oxide cathodes. [15] Generally, it can be understood that structurally large AO 2 slabs lead to lower migration barriers for A ions during charge-discharge processes in Alayered oxides. This intuitive structural point of view revealed the interesting concept that the "cationic repulsion" between M and Li + can be seen as a design parameter in determining the activation barrier of Li ions upon charging and discharging based on the Li[Ni 0.5 Mn 0.5 ]O 2 (LNMO) model. [16] In addition, a comparison of IE-LNMO and SS-LNMO, where IE and SS refer to ion exchange and solid state, respectively, provided an insight for the design of layered cathodes with high-rate performance based on the oxygen-stacking sequence because the former and latter models seemed to be O3-and O2-type layered oxides, respectively. These considerations motivated the advancement of the "cationic repulsion" concept to determine appropriate design strategies based on which species participate in the redox mechanism to attain high-power-density OR-based oxides.
Inspired by the promising OR feature of LIBs, for the first time, an Na[Li 1/3 Mn 2/3 ]O 2 layered oxide with an Mn/Li ratio (R) of 2 was rationally designed to exploit OR reactions and produce high-energy-density cathodes for SIBs, and its potential was validated experimentally. [17] Like Li-excess layered oxides for LIBs, the Mn 4+ ion in the designed Li-excess Na oxide triggered the OR at ≈4.2 V versus Na + /Na upon charging in the energetics of crystal field theory, and various R-controlled cathodes were investigated. [18][19][20][21][22][23] The results of these studies implied that the presence of Li ions in the M layers is an essential condition for the OR of oxide-based cathodes. However, P2-type Mn-Ni binary layered oxides were recently re-examined to unlock the veiled OR during (de)sodiation, and their structures did not contain Li ions in the M layers. [24][25][26][27] Although the anionic reaction did not evolve purely, its participation in the charge compensation mechanism was validated by various experimental analyses. [28][29][30] In addition, the nonhysteretic oxygen capacities upon cycling were unambiguously observed in Mn-Ni binary oxides, which led to an exciting direction for the practical use of OR. [26,28] However, the rate-performance challenge still remains to harness the full potential of the intriguing OR in Mn-Ni host materials, and its related design approaches have rarely been investigated.
Therefore, this study examined the interesting mechanism denoted as the "potential-pillar" effect to improve Na kinetics upon an electrochemical OR reaction based on the P2-type Mn-Ni oxide models, i) Na 1−x [Mn 8/12 Ni 4/12 ]O 2 (NMNO) and ii) Na 1−x [Ti 1/12 Mn 7/12 Ni 4/12 ]O 2 (NTMNO), from a local structure point of view. This concept was systematically understood and confirmed by combining experimental work with first-principles calculations. The stiff Ti 4+ -O bond as a redox-inactive component activated the OR derived from the NiO 6 and MnO 6 octahedrons in NTMNO and deactivated the anionic reaction from the TiO 6 octahedron. This mechanism led to the retention of strong O(2p)-O(2p) repulsion, resulting in a larger interlayer distance than that in NMNO. At a high current density, the charge/discharge capacities during the electrochemical OR for NTMNO were still observed, whereas they disappeared for NMNO. These results were elucidated by detailed electrochemical and structural investigations of the Na kinetics and interlayer distance variations obtained from operando synchrotron X-ray diffraction (XRD) patterns. Our concrete understanding of the local structure concept provides effective and generalized design strategies for attaining a high power density in OR-based layered oxides for SIBs and LIBs.

"Potential-Pillar" Effect in Triggering Fast Na Kinetics upon Oxygen Redox
In general, the interlayer distances between MO 2 layers in layered-type oxides for LIBs and SIBs have been acknowledged as a paramount factor in determining the A kinetics, directly resulting in the electrochemical rate performance. [31] Along this line, the concept denoted as the "cationic repulsion" effect (i.e., the number of M oxidation states is a factor in affecting the electrostatic repulsion between A and M ions during A migration upon charge-discharge processes) was suggested to modulate the A migration barriers in oxide-based cathodes. In addi-tion, the interlayer distance in P-type layered oxide is generally larger than that in O-type layered oxide. [32] In light of these, Figure 1a shows that we calculated the energy difference between P2-and O2-type structures at the fully desodiated state (x = 1.0) for NMNO and NTMNO, it indicates that the P2-O2 phase transition is thermodynamically favorable for NMNO and not NTMNO (also see Figure S1 for a better understanding, Supporting Information). Based on the phase transition behaviors, the insets in Figure 1b,c shows that we calculated the interlayer distance at the fully desodiated state (x = 1.0) in P2-type Na 1 Figure 1b,c. The PDOSs of Mn in the fully desodiated structure show a typical chemical state of Mn 4+ , indicating that the fully oxidized e g band is present in the purple region of the conduction band. Consistently, those of Ti with the same charged structure show that of Ti 4+ , revealing that there is no Ti(3d) electronic population for a value below the Fermi level, whereas the fully oxidized e g and t 2g bands are observed in the blue region of the conduction band.
Because a large interlayer distance in layered cathodes lowers the migration barrier of A ions during charge-discharge processes, [31,32] we calculated the Na-migration barriers at x = 1.0 in Na 1−x [Mn 8/12 Ni 4/12 ]O 2 and Na 1−x [Ti 1/12 Mn 7/12 Ni 4/12 ]O 2 , as shown in Figure 1d, and its value in the Ti-substituted Mn-Ni binary oxide was smaller than that in the pristine material. These results motivated the development of a new concept to elucidate the increase in interlayer distance for NTMNO compared to the reference model (NMNO) because the "cationic repulsion" concept (herein, Mn 4+ -Na + versus Ti 4+ -Na + , where the transition metals have the same oxidation state) cannot fully explain the lowered value of the Na-migration barrier in the NTMNO model. To provide an intriguing mechanism for determining the interlayer distance, the dominant well-known factor for varying the interlayer distances upon charging was incorporated, indicating the electrostatic repulsion of oxygen ions between the MO 2 layers. This phenomenon is denoted as the "anionic repulsion" effect. The generalized role of the anion-anion interaction has been attributed to an increase in the interlayer distances upon charging, and this is clearly observed after the initial deintercalation. That is, the "anionic repulsion" effect occurs in vacancy-sufficient phases in various A-based layered oxides, where A ions play a physical screening role in suppressing the repulsive force between oxygen layers. [33] However, the anionic interaction appears to be insufficient to explain the increased interlayer distance of NTMNO in comparison with that of NMNO, because the charge-compensation mechanism in the high-voltage range (>4.0 V vs Na + /Na) of Mn-Ni binary oxides for SIBs was recently understood based on the dominant OR accompanied by a partial Ni redox. [26] In other words, the OR reaction leads to a decrease in the chemical state of lattice O 2− to O n− (n < 2) upon charging in layered-type binary oxides. [34] Compared to the Mn 4+ (3d)-O(2p) bond, these considerations suggest that the chemically stiff Ti 4+ (3d)-O(2p) bond featuring redox-inactive cationic species upon charging locally retains the strong "anionic repulsion" effect between the M layers in the local structure. This hypothesis is denoted as the "potential-pillar" effect, which was proposed in our systematic computational work. [35] In detail, it conceptually combines the "cationic repulsion" and "anionic repulsion" effects, and this interesting concept can be an exciting design parameter for triggering fast Na kinetics for high-powerdensity in SIBs, especially OR-related binary Mn-Ni layered oxide cathodes.

Structural Understanding in Association of Redox Inactivity with Interlayer Spacing
To structurally understand the "potential-pillar" effect based on the two oxide models, Figure 2a shows that we investigated the interlayer distances between the MO 2 layers as a function of the vacancy content (x) in Na 1−x [Mn 8/12 Ni 4/12 ]O 2 and Na 1−x [Ti 1/12 Mn 7/12 Ni 4/12 ]O 2 for 0.67 ≤ x ≤ 1.0, and the corresponding atomic structures at x = 0.75 and 1.0 are illustrated in the insets for a better understanding. Because the P2-O2 phase transition occurs in the former model for a value above x = 0.75, the structural parameter diagram shows that there is a slight increase before the breakpoint, whereas a drastic decrease occurs during the P2-O2 phase transition for a vacancy content from x = 0.75 to 1.0 in Na 1−x [Mn 8/12 Ni 4/12 ]O 2 . Unlike the reference material, the interlayer distance gradually decreases with varying the vacancy content (0.75 ≤ x ≤ 1.0) in Na 1−x [Ti 1/12 Mn 7/12 Ni 4/12 ]O 2 , which underpins the fact that NTMNO suppresses the formation of the O2-type structure for a value above x = 0.75. In addition, the interlayer distance in NTMNO before x = 0.75 is slightly larger than that in NMNO, whereas the difference between the two oxide models is unambiguously enlarged for this vacancy content (0.75 ≤ x ≤ 1.0). During the biphasic reaction region showing the dominant OR reaction for the cathode models, the "anionic repulsion" effect is a decisive factor in determining the interlayer distances, which can be understood based on the fact that deeply charged structures exhibiting vacancy-rich NaO 2 layers rarely contain Na ions acting in a screening role. Structural observations upon desodiation indicate that the electrostatic repulsion of lattice O(2p)-O(2p) is stronger for NTMNO than for NMNO. That is, from a local-structure point of view, the chemically stiff Ti 4+ (3d)-O(2p) bond suppresses the activation of the OR reaction during the charge compensation mechanism. Therefore, the chemical state of O(2p) ions coordinated with Ti 4+ ions at x = 1.0 in Na 1−x [Ti 1/12 Mn 7/12 Ni 4/12 ]O 2 appears to be similar to that at x = 0.75 in the oxide, which is not expected to be observed in Na 1−x [Mn 8/12 Ni 4/12 ]O 2 . In addition, the strong anionic repulsion induced by the "potential-pillar" effect mitigates the severe P2-O2 phase transition for this vacancy content (0.75 ≤ x ≤ 1.0) in NTMNO, which supports the thermodynamic phase stability of the two oxide models. In contrast, the O(2p)-O(2p) repulsion weakened by the dominant OR reaction in the reference oxide model causes the rapid collapse of the interlayer spacing, accompanied by the P2-O2 phase transition. Along these lines, we expect an improved rate performance for NTMNO in comparison with that of NMNO, which will be discussed in the experimental sections. From a local structure perspective, the "potentialpillar" effect can be understood by the O-O distance variation in the MnO 6  The insets indicate the short O-O distances in the two types of octahedrons. Because an OR above ≈4.0 V versus Na + /Na plays a major role in compensating the charge imbalance induced by Na extraction from the host materials, the chemical hardness between M and O was deemed to be a critical factor in effectively mitigating the interlayer distance variation upon the electrochemical OR reaction for NMNO and NTMNO, as discussed in the previous section. The strong chemical bond of Ti-O as a redox-inactive component gives rise to a larger decrease in the  in the red-colored region above the Fermi level, and its intensity is much larger than that of the oxidized Ni(3d) electron. This dominant oxygen oxidation has been acknowledged as an unlocked redox mechanism that compensates for the charge imbalance induced by Na extraction for a value above ≈4.0 V versus Na + /Na in P2-type Ni-Mn binary oxides. [28] Likewise, the OR trend was observed in the vacancy content for the NTMNO model. For an indepth investigation of the OR activities based on the oxide models, oxygen ions were broken down into two types depending on the redox-(in)active M coordination environment, where M can be Ni, Mn, and Ti in NMNO and NTMNO. The redox-inactive species were coordinated with Ti and Mn ions, whereas the redoxactive species were coordinated with Ni and Mn ions. In light of these results, we calculated the Bader net charge variation of the two types of oxygen ions in relation to the coordination environments with varying vacancy contents in NMNO and NTMNO, as shown in Figure 2f, where the corresponding atomic configurations are displayed as the insets to provide a better understanding. For the oxygen ion in the redox-inactive environment, the charge value increased at a gradual rate for NMNO, whereas it rarely increased with the vacancy content for NTMNO. These results implied that the oxygen activity coordinated with Ti and Mn ions was suppressed in the deeply charged state of NTMNO. For the redox-active environment, the anionic charge variation steeply increased for the Ti-doped oxide compared to that for the pristine material. The quantitative electronic structure behaviors of the oxygen ions were consistent with the trend of the O-O bond changes during the charging process, which could support the anionic deactivation induced by Ti doping.

Fundamental Understanding of Electrochemical Properties
Na 2/3 [Mn 6/9 Ni 3/9 ]O 2 (NMNO with x = 1/3) and Na 2/3 [Ti 1/9 Mn 5/9 Ni 3/9 ]O 2 (NTMNO with x = 1/3) were synthesized via coprecipitation (see the Experimental Section for details). For the material characterization of the synthesized cathodes, powder X-ray diffraction (XRD) patterns were obtained, and the XRD peaks are well matched with standard Na 0.67 Ni 0.33 Mn 0.67 O 2 (PDF#54-0894) patterns with hexagonal in the space group of P6 3 /mmc ( Figure S2a, Supporting Information). Moreover, scanning electron microscopy (SEM) images were obtained, as shown in Figure S2b,c (Supporting Information). Both cathodes have angulated platelet-like shapes with thicknesses of about 400 nm, and their OR activities in the high voltage region were confirmed. [36] To compare the prepared cathodes, we investigated their fundamental electrochemical properties under different current densities. As shown in Figure S3 (Supporting Information), NTMNO reveals the reduced charge capacity at the first cycle compared with the NMNO at the current density of 10 mA g −1 , due to the substitution of electrochemically inactive Ti 4+ in NMNO. However, followed discharge capacities of NTMNO surpass NMNO's, which could originate from the phase stability and Na + /vacancy disordering of NTMNO during (de)sodiation. [37][38][39] For further electrochemical characterization based on the rate capabilities, the second charge/discharge voltage profiles of each current density in Figure S3 (Supporting Information) were plotted in Figure 3a,b. Figure 3a presents the galvanostatic charge/discharge profiles of the NMNO electrode at various current densities from 10 to 2000 mA g −1 . At the lowest current density (10 mA g −1 ), the capacity during the first charging was measured to be 130.90 mAh g −1 , and that during the subsequent discharge was 118.54 mAh g −1 . At the highest current density (2000 mA g −1 ), the charging and discharging capacities decreased to 12.22 and 11.63 mAh www.advancedsciencenews.com www.advancedscience.com g −1 , respectively. In addition, the corresponding plateau of ≈4.20 V at 10 mA g −1 upon charging completely disappeared at current densities above 100 mA g −1 . Compared to the NMNO cathode, the Ti-doped cathode exhibited a significantly improved performance, as shown in Figure 3b. The charge and discharge capacities of NTMNO at 10 mA g −1 were measured to be 138.48 and 132.24 mAh g −1 , respectively, which were higher than those of NMNO. More importantly, in NTMNO, the charge and discharge capacities at the highest current density were 58.89 and 58.98 mAh g −1 , respectively, and the OR-related plateau of ≈4.26 V was still observed at a higher current density of 500 mA g −1 . These results supported the conclusion that the Ti doping of the bare material not only greatly enhanced its rate capability, but also enabled a reversible OR reaction upon charging and discharging.
To gain an in-depth understanding of the electrochemical properties, the charge and discharge capacities of the two cathode electrodes are plotted as a function of the current density, as shown in Figure 3c. This graph clearly reveals that Ti incorporation dramatically increases the utilization of the cathode with an increase in the current density. Overall, the degradation of the cathode capacity was mainly derived from the decay in the hybridized OR capacity at high voltages. Nevertheless, it could be inferred that NTMNO was significantly improved kinetically compared to NMNO in the fully charged state. Figure S3 (Supporting Information) presents the stepwise charge/discharge capacities under varying current density conditions as a function of the cycle number for the NMNO and NTMNO electrodes for direct comparison. This diagram indicates that the capacity of NTMNO gradually decreased as the cycle number increased, whereas that of NMNO decreased drastically. In other words, the retention rates of the discharge capacities reached 9.81% and 44.60% for NMNO and NTMNO, respectively. To better understand the ORincluding plateau variation, dQ/dV analyses of the NMNO and NTMNO electrodes were performed. Figure 3d shows that a clear peak at ≈4.20 V under 10 mA g −1 was observed during the charging process for the bare electrode, but there was no peak intensity at 200 mA g −1 . On the other hand, Figure 3e shows that the Ti-doped cathode had an unambiguous peak of ≈4.26 V under the same conditions. Intriguingly, at the high current density of 200 mA g −1 , the corresponding dQ/dV peak was still observed upon charging the NTMNO. This fundamental understanding of the electrochemical features led to the measurement of the reversibility of sodiation/desodiation in the high-voltage range for the NMNO and NTMNO electrodes. Figure 3f shows the galvanostatic charge/discharge profiles of the two cathodes as a function of the accumulated capacity in the voltage range (4.1-4.4 V) at 30 mA g −1 (0.25 C-rate) during the initial several cycles. As seen, the Ti-doped electrode showed outstanding cycle stability and capacity retention, whereas the bare electrode suffered severe degradation under the same conditions.

Electrochemical and Structural Analyses of Na + Kinetics Upon Cycling
Kinetic analyses based on cyclic voltammetry (CV) were performed to further understand the redox reactions of NMNO and NTMNO. Figure 4a,b displays the CV curves of the cathodes in the voltage window of 2.5-4.4 V with a stepwise scanning rate of 0.2-0.8 mV s −1 . As the scanning rate increased, the oxidation peaks (anodic peaks, APs) and reduction peaks (cathodic peaks, CPs) also increased. The linear relationship between the measured peak current and scanning rate can be calculated using the following equation [40] i = a ⋅ v b (1) where b is the slope of the log(v) versus log(i) plots. A b value of 0.5 indicates that the storage process is diffusion-controlled. When b = 1, the charge storage is a surface-controlled capacitive process at the surface of the electrode. Figure 4d,e presents the b values of NMNO and NTMNO at each redox peak. At ≈3.5 V, where Na + /vacancy ordering mainly occurs in Mn-Ni-based layered oxide cathodes, [24]  These results confirmed that Ti doping also accelerated the oxygen-redox-based Na + diffusion mechanism during (de)sodiation. To evaluate the Na + diffusion behaviors of the cathodes during cycling, GITT profiles and Na + diffusion coefficients (D Na+ ) are obtained (see Figure S4, Supporting Information). The D Na+ is determined by altering Fick's 2nd law with some reasonable assumptions. The equation is simplified as follows Here is the time for an applied galvanostatic current; m B and M B are the mass and molar weight of the active material. V m is the molar volume; S is the surface area of the electrode. ΔE and ΔE s are the equilibrium voltage and total change in the cell voltage E during the current pulse, respectively. After a cycle of activation, the GITT protocol is performed at the current density of 30 mA g −1 , with 15 min of current flux followed by 4 h rest to reach the quasiequilibrium potential. As a result, NTMNO exhibits enhanced D Na+ during charging. Especially the difference is noticeable over the voltage range of 4.0 V, where the anion redox reaction mainly occurs. The Na + mobility of the cathode is increased by incorporating the Ti-ion, which coincides with the abovementioned results from CV curves and log(v) versus log(i) plots.
To compare the charge transfer resistance values, electrochemical impedance spectroscopy (EIS) was conducted for both electrodes at a voltage of 4.4 V in the frequency range of 100 kHz to 100 mHz. Figure 4c shows the EIS spectra of NMNO and NTMNO during the 1st cycle and the corresponding equivalent circuit model. Here, R S is the solution (electrolyte) resistance of the cell components, and R CT is associated with the charge-transfer step at the electrode-electrolyte interface. Z W is the Warburg impedance originating from the solid-state Na + diffusion in the electrode, and C dl is related to the double-layer capacitance. [41] Figure 4f shows the resistances from the electrolyte (R S ) and charge transfer (R CT ) of NMNO and NTMNO. It is clear that Ti doping induced decreases in both R S (from 3.2622 to 2.9840 Ω) and R CT (from 48.7891 to 22.8588 Ω), demonstrating that Ti incorporation was beneficial for the Na + kinetics of the cathode. Figure S5 (Supporting Information) displays HR-TEM images and STEM-EDS mappings of NMNO and NTMNO. Figure S5a Figure 4g,h displays operando synchrotron XRD patterns and the corresponding voltage profiles. Both electrodes exhibited the P2-O2 phase transition at a high voltage (≈4.2 V). To make the observation clearer, the phase-transition regions are colored green and blue for NMNO and NTMNO, respectively. The (002) peaks of NMNO and NTMNO shifted to lower angles during charging, implying that the c-axis expanded as a result of the increased electrostatic repulsion between the adjacent oxygen layers. [42] The clattice parameters at the pristine state had values of 11.189 and 11.187 Å for NMNO and NTMNO, respectively. During the desodiation, the c-lattice parameters of the P2 phase increased to 11.410 and 11.418 Å for NMNO and NTMNO, respectively. Figure 4i shows the interlayer distances of the cathodes that corresponded to the d-spacing values of the (002) planes. Significantly, the average interlayer distance of NTMNO calculated from the operando synchrotron XRD patterns was larger (5.64 Å) than that of NMNO (5.57 Å), which allowed a wider Na + diffusion pathway during the (de)sodiation and enhanced Na + kinetics and diffusivity during the cycling. [43] Figure 4j displays the cycle performances of NTMNO and NMNO at 0.5 and 3 C. In line with the superior rate capability of NTMNO, the cycle fading became relatively low as the C-rate increased from 0.5 C to 3 C during the cycling. In contrast, NMNO experienced drastic capacity fading under the same conditions. Furthermore, NTMNO exhibited higher coulombic efficiency than NMNO, showing that Ti incorporation also induced better reversibility during the cycling. Figure 4k presents extended cycles at the voltage range of 4.1-4.4 V under the same conditions. It is clear that NTMNO could exploit the oxygen redox reaction in a reversible manner, which occurred in the high voltage region. [42] Figure S6 (Supporting Information) displays the electrochemical properties of the cathodes with half-cell and full-cell conditions. To prove the practicability of the NTMNO, we conducted full-cell tests using hard carbon as an anode active material at the current density of 300 mA g −1 , in the voltage range of 1.5-4.2 V. It is noticeable that NTMNO full cell exhibits good cycling performance and high Coulombic efficiency. The capacity retention of the NTMNO full cell after the 1st formation cycle is 81.1% after 50 cycles when NMNO full cell retained 72.4% at the same conditions. The specific energy density of the NTMNO full cell is about 135 Wh kg −1 at 300 mA g −1 based on the whole mass of cathode and anode.

Conclusion
Considering the P2-type Mn-Ni binary oxide models, an interesting mechanism that combined the anionic repulsion of O(2p)-O(2p) with the chemical bond of Ti 4+ (3d)-O(2p) was proposed to enhance the slow kinetics of Na ions upon desodiation via the "potential pillar" effect. First, compared to NMNO, it was confirmed computationally that NTMNO showed a larger interlayer distance, resulting in a lower migration barrier for Na ions in the deeply charged state. Second, the deactivated oxygen ions coordinated with Ti 4+ ions played a supportive role in retaining the interlayer distance through strong anionic repulsion. Third, charge/discharge oxygen capacities at a high current density unambiguously appeared for the Ti-doped oxide, but these were not observed for the bare material. Fourth, the CV and EIS experimental results demonstrated that Ti-incorporation was a significant factor in enhancing the Na kinetics upon the OR, and the operando synchrotron XRD analysis identified a larger interlayer distance for NTMNO than for NMNO. This intriguing concept is expected to be a global strategy for enabling a fast oxygen capacity by modulating the intrinsic local structure of Na-layered oxides in high-power-density cathodes for SIBs and LIBs, and incorporating various redox-inactive transition metals into OR-based cathodes will lead to the similar effect on their local structures.

Experimental Section
First-Principles Calculations: The first principles calculation was conducted by using Vienna Ab-initio Simulation Package (VASP) based on density functional theory (DFT). The generalized gradient approximation (GGA) was applied to all calculations with Perdew-Bruke-Ernzerhof (PBE) functional under spin-polarized and electronic exchange correlation conditions. The Hubbard U value was considered in 3d transition metals that refer to Mn (4.64), Ni (6.7), and Ti (4.2), respectively. To more accurately describe the Na + , the 3s-and six 2p-electrons Na pseudopotential was used. To obtain optimized atomic structures, the calculations were relaxed using a plane-wave set energy cut-off 550 eV with the pseudopotentials of the projector augmented wave (PAW). The reciprocal k-points mesh were set with 4 × 2 × 1 by the Monkhorst-Pack method and converged criterion within 10 −5 eV and within 10 −2 eV Å −1 in interatomic forces convergence. For an accurate result of electron configuration, the hybrid functional (HF) calculation of Heyd, Scuseria, and Ernzerhof (HSE06) was adopted for correcting the self-interaction errors between transition metals and oxygen.
Electrochemical Measurements: CR2032 coin cells were used to evaluate the electrochemical properties of the prepared cathode materials. To fabricate the cathode, a slurry consisting of the active material, super P, and polyvinylidene fluoride (PVDF) in a weight ratio of 8:1:1 was dissolved into N-methyl-pyrrolidinone (NMP) and then coated on Al foil by a doctor blade. The loading mass of the active material was about 3 mg cm −2 . 1.0 m www.advancedsciencenews.com www.advancedscience.com NaClO 4 in EC:PC = 1:1 with 2 vol% FEC was used as an electrolyte. Sodium metal was used as the counter and reference electrodes and porous glass fiber (Whatman, GF/C) was used as the separator for the half cell tests. The electrochemical tests were conducted on a WonATech cycler workstation at 25°C. For the full cell test, the hard carbon anode was fabricated by a mixture of hard carbon and PVDF in a weight ratio of 4:1, which was presodiated with Na metal electrochemically. The N/P ratio of the two electrodes was optimized at 1.2. The specific energy density of the full cell was calculated based on the whole mass of the cathode and anode in the voltage range of 1.5-4.2 V at the current density of 300 mA g −1 , at 25°C.
Material Characterizations: The powder XRD patterns were obtained by an X-ray diffractometer (D-MAX2500-PC) in the 2 range of 10°-80°using Cu K radiation ( = 1.5405 Å). The morphology of cathode materials was characterized by scanning electron microscopy (JSM-7800F Prime). Transmission electron microscopy (TEM) images were obtained by using a field emission transmission electron microscope (FE-TEM, Tecnai G2 F30 S-Twin, FEI). Also, High-angle annular dark-field scanning transmission electron microscopy (HAADF-STEM) was conducted with an FEI XFEG-Titan Themis 3 Double Cs & Mono. The interlayer distances are obtained via converting c-lattice parameter data measured by operando synchrotron XRD patterns. The measurements were conducted in Pohang Accelerator Laboratory (PAL) on beamline 3D. The obtained 2D MAR345 diffraction images were converted using the Fit2D program based on LaB6 diffraction pattern as a calibration parameter. The operando synchrotron XRD patterns are converted by the Rietveld refinement method using FullProf software. The comparison of the phase transition ratio was based on scale factor data obtained by the software.

Supporting Information
Supporting Information is available from the Wiley Online Library or from the author.