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        <title>Pseudocapacitance of MXene nanosheets for high-power sodium-ion hybrid capacitors</title>
        <author>Xianfen Wang</author>
        <author>Satoshi Kajiyama</author>
        <author>Hiroki Iinuma</author>
        <author>Eiji Hosono</author>
        <author>Shinji Oro</author>
        <author>Isamu Moriguchi</author>
        <author>Masashi Okubo</author>
        <author>Atsuo Yamada</author>
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          <title>Pseudocapacitance of MXene nanosheets for high-power sodium-ion hybrid capacitors</title>
          <date>2015</date>
          <publisher>Nature Communications</publisher>
          <idno type="DOI">10.1038/ncomms7544</idno>
          
          <idno type="record">wang2015-pseudocapacitance-of-mxene-nanosheets-for-high-power</idno>
          <note type="staged-file">wang2015-pseudocapacitance-of-mxene-nanosheets-for-high-power.txt, the project's staged copy</note>
          <note type="text-sha1">20b0e6279219ccc54a69ef5fbd1bfa21d31d39aa</note>
          <note type="rights">open-access</note>
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      <span xml:id="t0" from="#a9" to="#a10" type="contribution" ana="#contribution" resp="#paper">a sodium-ion hybrid cell that uses MXene pseudocapacitance to reduce the conventional energy-power trade-off</span>
      <span xml:id="t1" from="#a9" to="#a10" type="claim_type" ana="#claim_type" resp="#paper">mechanism</span>
      <span xml:id="t2" from="#a7" to="#a8" type="phenomenon" ana="#phenomenon" resp="#paper">pseudocapacitive MXene Ti2CTx as a negative electrode for high-power sodium-ion hybrid capacitors</span>
      <span xml:id="t3" from="#a11" to="#a12" type="method" ana="#method" resp="#paper">experiment<term>experiment</term></span>
      <span xml:id="t4" from="#a19" to="#a20" type="mechanisms" ana="#mechanisms[0]" resp="#tagger" cert="0.95">mechanisms<term>Because the expansion is consistent with the size of bare Na + , Na + intercalation occurs after desolvation at the electrode/electrolyte interface during the initial reduction process ( Fig. 2 , activation).</term></span>
      <span xml:id="t5" from="#a25" to="#a26" type="mechanisms" ana="#mechanisms[1]" resp="#tagger" cert="0.95">mechanisms<term>Then, activated Ti 2 CT x allows reversible Na + intercalation/deintercalation into the interlayer space as well as reversible Na + adsorption/desorption onto the surface of each layer/sheet, where the change in the interlayer distance is small within ~0.1 Å ( Fig. 2 and Supplementary Table 2 ).</term></span>
      <span xml:id="t6" from="#a27" to="#a28" type="mechanisms" ana="#mechanisms[2]" resp="#tagger" cert="0.95">mechanisms<term>Because EDX detects residual Na + , even at 3.0 V ( Supplementary Table 1 ), residual Na + may behave as a pillar between the MXene Ti 2 C layers during the entire charge/discharge process, maintaining the interlayer distance at an almost constant value.</term></span>
      <span xml:id="t7" from="#a29" to="#a30" type="mechanisms" ana="#mechanisms[3]" resp="#tagger" cert="0.95">mechanisms<term>Another possible explanation for the constant interlayer distance is that the expansion due to Na + intercalation is balanced by the Coulombic attraction between the MXene sheets and intercalated Na 33 .</term></span>
      <span xml:id="t8" from="#a41" to="#a42" type="mechanisms" ana="#mechanisms[4]" resp="#tagger" cert="0.95">mechanisms<term>The electrolyte decomposition during the initial cycles may form stable solid−electrolyte interface, which inhibits continuous electrolyte decomposition.</term></span>
      <span xml:id="t9" from="#a61" to="#a62" type="mechanisms" ana="#mechanisms[5]" resp="#tagger" cert="0.95">mechanisms<term>The excellent cycle stability and efficiency may be attributed to the pseudocapacitive charge storage mechanism without a large structural change.</term></span>
      <span xml:id="t10" from="#a1" to="#a2" type="limitations" ana="#limitations[0]" resp="#tagger" cert="0.95">However, conventional charge storage through ion intercalation or double-layer formation cannot satisfy the requirements of such applications owing to the slow kinetics of ion intercalation and the small capacitance of the double layer.</span>
      <span xml:id="t11" from="#a39" to="#a40" type="limitations" ana="#limitations[1]" resp="#tagger" cert="0.95">The following first discharge curve has a capacitor-type slope in the range of 0.2−2.5 V but with a much smaller capacity, resulting in a relatively low Coulombic efficiency of 65% for the first cycle.</span>
      <span xml:id="t12" from="#a51" to="#a52" type="limitations" ana="#limitations[2]" resp="#tagger" cert="0.95">After the first cycle, the cell exhibits a voltage profile that mainly reflects the potential of Ti 2 CT x because the cell capacity is limited by the Ti 2 CT x negative electrode ( Fig. 3a ).</span>
      <span xml:id="t13" from="#a67" to="#a68" type="limitations" ana="#limitations[3]" resp="#tagger" cert="0.95">Although the capacity for the total weight of the positive and negative electrode materials in the present prototype cell is limited (26.6 mAh g −1 at a low rate) owing to the excess amount of positive-electrode material, an improvement in the initial Coulombic efficiency could reduce the amount of positive-electrode material, and hence, greatly increase the capacity of the full cell.</span>
      <span xml:id="t14" from="#a69" to="#a70" type="limitations" ana="#limitations[4]" resp="#tagger" cert="0.95">The resulting Ti 3 C 2 T x ‘clay’ delivers a high volumetric capacitance of 900 F cm −3 and a gravimetric capacitance of 245 F g −1 , which is much higher than those of the previously reported Ti 3 C 2 T x electrodes and the Ti 2 CT x electrode in this work.</span>
      <span xml:id="t15" from="#a13" to="#a14" type="controls" ana="#controls[0]" resp="#tagger" cert="0.95">In contrast, Ti 2 CT x immersed in a nonaqueous 1 M NaPF 6 /EC−DEC electrolyte exhibits no downshift in the (002) diffraction peak by immersion into the electrolyte alone, which indicates that Na + intercalation does not occur spontaneously.<note>eliminates: spontaneous sodium intercalation before electrochemical activation</note></span>
      <span xml:id="t16" from="#a21" to="#a22" type="controls" ana="#controls[1]" resp="#tagger" cert="0.95">Although the (002) diffraction peak does not shift during the cycles, EDX confirms a reversible change in the Na content, and X-ray photoelectron spectroscopy (XPS) detects a reversible spectral change in the Ti 2 p XPS spectrum ( Supplementary Fig. 3 ), which is indicative of a charge transfer reaction.<note>eliminates: assigning current to pseudocapacitance without chemical-state evidence</note></span>
      <span xml:id="t17" from="#a17" to="#a18" type="controls" ana="#controls[2]" resp="#tagger" cert="0.95">The expansion is also confirmed by transmission electron microscopy images ( Fig. 1b,c ).<note>eliminates: an XRD-only artifact in the inferred interlayer expansion</note></span>
      <span xml:id="t18" from="#a49" to="#a50" type="controls" ana="#controls[3]" resp="#tagger" cert="0.95">The mass balance between the positive and negative electrodes was fixed to 4:1 to ensure full activation of Ti 2 CT x during the first charge.<note>eliminates: insufficient positive-electrode capacity preventing full Ti2CTx activation</note></span>
      <span xml:id="t19" from="#a71" to="#a72" type="controls" ana="#controls[4]" resp="#tagger" cert="0.95">The electrode thickness and mass loading are ~50 μm and ~1 mg cm −2 , respectively, for all electrochemical measurements (CV and charge–discharge).<note>eliminates: electrode thickness or loading differences across electrochemical tests</note></span>
      <span xml:id="t20" from="#a73" to="#a74" type="controls" ana="#controls[5]" resp="#tagger" cert="0.95">CR2032-type coin cells were assembled with Na metal as the counter electrode, a glass fibre filter (GB-100R, ADVANTEC) as the separator and 1 M NaPF 6 in ethylene carbonate-diethyl carbonate (EC−DEC, 1:1 v/v%) as the electrolyte.<note>eliminates: positive-electrode limitations in the Ti2CTx half-cell characterization</note></span>
      <span xml:id="t21" from="#a5" to="#a6" type="concepts" ana="#concepts[0]" resp="#paper" cert="0.95">pseudocapacitance<term>pseudocapacitance</term></span>
      <span xml:id="t22" from="#a19" to="#a20" type="concepts" ana="#concepts[1]" resp="#paper" cert="0.95">activation<term>activation</term></span>
      <span xml:id="t23" from="#a33" to="#a34" type="concepts" ana="#concepts[2]" resp="#paper" cert="0.95">sodium-ion hybrid capacitor<term>sodium-ion hybrid capacitor</term></span>
      <span xml:id="t24" from="#a31" to="#a32" type="concepts" ana="#concepts[3]" resp="#paper" cert="0.95">surface-controlled reaction<term>surface-controlled reaction</term></span>
      <span xml:id="t25" from="#a39" to="#a40" type="concepts" ana="#concepts[4]" resp="#paper" cert="0.95">Coulombic efficiency<term>Coulombic efficiency</term></span>
      <span xml:id="t26" from="#a3" to="#a4" type="senses" ana="#senses[0]" resp="#tagger" cert="1.0">pseudocapacitance is used here as a charge-storage regime combining battery-like capacity with capacitor-like rate performance</span>
      <span xml:id="t27" from="#a9" to="#a10" type="concept_edges" ana="#concept_edges[1]" resp="#tagger" cert="0.97">pseudocapacitance —causes→ sodium-ion hybrid capacitor<note>strength of the relation: 0.9 · note: ‘Allows’ is an unhedged enabling assertion, strong but not a necessary or sufficient condition.
Audit 2026-09-28: DOUBTFUL - read against its span and kept, but pseudocapacitance frees the capacitor FROM A TRADE-OFF; causes &#x27;capacitor&#x27; drops the object.</note><term>pseudocapacitance</term><term>sodium-ion hybrid capacitor</term></span>
      <span xml:id="t28" from="#a59" to="#a62" type="concept_edges" ana="#concept_edges[2]" resp="#tagger" cert="0.98">pseudocapacitance —causes→ Coulombic efficiency<note>strength of the relation: 0.6 — the record marks this weak · note: The efficiency is measured, but ‘may be attributed’ explicitly hedges the causal explanation, setting 0.60.
Audit 2026-09-28: DOUBTFUL - read against its span and kept, but efficiency &#x27;MAY be attributed&#x27; to pseudocapacitance; causes is hedged.</note><term>pseudocapacitance</term><term>Coulombic efficiency</term></span>
      <span xml:id="t29" from="#a13" to="#a14" type="content_tags" ana="#content_tags.findings[0]" resp="#tagger" cert="0.95">In contrast, Ti 2 CT x immersed in a nonaqueous 1 M NaPF 6 /EC−DEC electrolyte exhibits no downshift in the (002) diffraction peak by immersion into the electrolyte alone, which indicates that Na + intercalation does not occur spontaneously.</span>
      <span xml:id="t30" from="#a23" to="#a24" type="content_tags" ana="#content_tags.findings[1]" resp="#tagger" cert="0.95">Therefore, the current flow from Ti 2 CT x in the nonaqueous Na + electrolyte is attributable to the pseudocapacitance without exhibiting shrinkage/expansion of the interlayer distance.</span>
      <span xml:id="t31" from="#a25" to="#a26" type="content_tags" ana="#content_tags.findings[2]" resp="#tagger" cert="0.95">Then, activated Ti 2 CT x allows reversible Na + intercalation/deintercalation into the interlayer space as well as reversible Na + adsorption/desorption onto the surface of each layer/sheet, where the change in the interlayer distance is small within ~0.1 Å ( Fig. 2 and Supplementary Table 2 ).</span>
      <span xml:id="t32" from="#a43" to="#a44" type="content_tags" ana="#content_tags.findings[3]" resp="#tagger" cert="0.95">The reversible capacity is retained, even at extremely high rates (156, 113 and 63 mAh g −1 at 200, 1,000 and 5,000 mA g −1 , respectively).</span>
      <span xml:id="t33" from="#a45" to="#a46" type="content_tags" ana="#content_tags.findings[4]" resp="#tagger" cert="0.95">However, the theoretical capacity of P2-Na 0.66 [Li 0.22 Ti 0.78 ]O 2 is much smaller than that of Ti 2 CT x ; Ti 2 CT x delivers much higher capacity at any charge/discharge rate.</span>
      <span xml:id="t34" from="#a55" to="#a56" type="content_tags" ana="#content_tags.findings[5]" resp="#tagger" cert="0.95">Both the cycle stability and efficiency of the full cell are extremely high.</span>
      <span xml:id="t35" from="#a63" to="#a64" type="content_tags" ana="#content_tags.findings[6]" resp="#tagger" cert="0.95">The full cell provides reversible capacities of 90 and 40 mAh g −1 , even at extremely high rates of 1,000 and 5,000 mA g −1 (based on the weight of Ti 2 CT x ).</span>
      <span xml:id="t36" from="#a65" to="#a66" type="content_tags" ana="#content_tags.findings[7]" resp="#tagger" cert="0.95">Thus, by utilizing the pseudocapacitive negative electrode, the Na-ion hybrid capacitor overcomes the trade-off limit and potentially surpasses state-of-the-art high-power rechargeable batteries.</span>
      <span xml:id="t37" from="#a5" to="#a6" type="content_tags" ana="#content_tags.definitions[0]" resp="#tagger" cert="0.95">pseudocapacitance<term>pseudocapacitance</term></span>
      <span xml:id="t38" from="#a35" to="#a36" type="content_tags" ana="#content_tags.definitions[4]" resp="#tagger" cert="0.95">charging<term>charging</term></span>
      <span xml:id="t39" from="#a35" to="#a36" type="content_tags" ana="#content_tags.definitions[5]" resp="#tagger" cert="0.95">discharging<term>discharging</term></span>
      <span xml:id="t40" from="#a15" to="#a16" type="content_tags" ana="#content_tags.quantities[0]" resp="#tagger" cert="0.95">On the basis of the shift in the (002) diffraction peak, the expansion of the interlayer distance is estimated as 2.5 Å.</span>
      <span xml:id="t41" from="#a31" to="#a32" type="content_tags" ana="#content_tags.quantities[1]" resp="#tagger" cert="0.95">The b -value analysis ( i = av b ; i : current; v : scan rate; a , b : constants) for the peak current at ~2.3 V gives a b -value of unity for 0.05&lt; v &lt;0.5 mV s −1 , which is indicative of a surface-controlled reaction.</span>
      <span xml:id="t42" from="#a37" to="#a38" type="content_tags" ana="#content_tags.quantities[2]" resp="#tagger" cert="0.95">The first charge exhibits a voltage plateau at ~0.6 V, delivering a relatively large capacity of 360 mAh g −1 .</span>
      <span xml:id="t43" from="#a43" to="#a44" type="content_tags" ana="#content_tags.quantities[3]" resp="#tagger" cert="0.95">The reversible capacity is retained, even at extremely high rates (156, 113 and 63 mAh g −1 at 200, 1,000 and 5,000 mA g −1 , respectively).</span>
      <span xml:id="t44" from="#a47" to="#a48" type="content_tags" ana="#content_tags.quantities[4]" resp="#tagger" cert="0.95">It should be emphasized that the high rate capability was obtained with a thick electrode (thickness: 50 μm); therefore, its practical application to Na-ion hybrid capacitors is highly realistic.</span>
      <span xml:id="t45" from="#a53" to="#a54" type="content_tags" ana="#content_tags.quantities[5]" resp="#tagger" cert="0.95">The average operating voltage is 2.4 V, and the reversible capacities of the second cycle are 133 and 107 mAh g −1 at 150 and 600 mA g −1 (based on the weight of Ti 2 CT x ), respectively, achieving theoretical energy densities of 320 and 260 Wh kg −1 at specific power densities of 360 and 1,440 W kg −1 (based on the weight of Ti 2 CT x ), respectively.</span>
      <span xml:id="t46" from="#a57" to="#a58" type="content_tags" ana="#content_tags.quantities[6]" resp="#tagger" cert="0.95">As demonstrated in Fig. 4c , the loss of the discharge capacity after 100 cycles at 600 mA g −1 is only 4% of the second discharge capacity.</span>
      <span xml:id="t47" from="#a59" to="#a60" type="content_tags" ana="#content_tags.quantities[7]" resp="#tagger" cert="0.95">Furthermore, the Coulombic efficiency for cycling at 600 mA g −1 reaches ~99.7% after a few initial cycles.</span>
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        <p><anchor xml:id="a0"/> Abstract. High-power Na-ion batteries have tremendous potential in various large-scale applications. <anchor xml:id="a1"/>However, conventional charge storage through ion intercalation or double-layer formation cannot satisfy the requirements of such applications owing to the slow kinetics of ion intercalation and the small capacitance of the double layer.<anchor xml:id="a2"/> <anchor xml:id="a3"/>The present work demonstrates that the pseudocapacitance of the nanosheet compound MXene Ti 2 C achieves a higher specific capacity relative to double-layer capacitor electrodes and a higher rate capability relative to ion intercalation electrodes.<anchor xml:id="a4"/> By utilizing the pseudocapacitance as a negative electrode, the prototype Na-ion full cell consisting of an alluaudite Na 2 Fe 2 (SO 4 ) 3 positive electrode and an MXene Ti 2 C negative electrode operates at a relatively high voltage of 2.4 V and delivers 90 and 40 mAh g −1 at 1.0 and 5.0 A g −1 (based on the weight of the negative electrode), respectively, which are not attainable by conventional electrochemical energy storage systems. Conventional sodium ion batteries have low energy and power densities. Here, the authors report the use of MXene Ti 2 C as a negative electrode for sodium ion energy storage, and show that the pseudocapacitance of the electrode allows the hybrid capacitors to achieve high electrochemical performance. Electrochemical energy storage capable of more energy at high charge−discharge rates is receiving considerable attention because of the strong industrial demands for their widespread use in the smart grid. High-energy Li-ion batteries consisting of Li + (de)intercalation electrodes currently power most portable electronics, but the power density is not satisfactory for high-power applications 1 2 . High-power electrochemical capacitors make up many markets ranging from electronics to transportation and stationary applications, but the low energy density is a serious disadvantage 3 4 . This trade-off between the power and energy densities of electrochemical energy storage has been well recognized, which intrinsically originates from the charge storage mechanism of the electrodes: ion (de)intercalation in batteries and double-layer formation in electrochemical capacitors. In general, ion (de)intercalation stores charge more slowly than a double layer, whereas a double layer stores less charge than ion (de)intercalation 3 . Thus, the pseudocapacitance (or redox capacitance) has become an increasingly important mechanism for charge storage 5 6 7 8 9 10 . <anchor xml:id="a5"/>Pseudocapacitance occurs through (i) monolayer ion adsorption on the electrode surface with charge transfer, (ii) redox at the electrode surface (RuO 2 · x H 2 O, ref. 5 ) or (iii) ultrafast ion intercalation into the bulk ( T -Nb 2 O 5 , ref. 6 ), whereby charge storage is partially liberated from the trade-off.<anchor xml:id="a6"/> At present, urgent concerns over lithium resources have focused recent attention on Na-ion batteries owing to the abundance and low cost of sodium. The present set of negative-electrode materials for Na-ion batteries mainly consists of Na-ion intercalation, alloying or conversion materials such as hard carbon, expanded graphite, TiO 2 , Na 2 Ti 3 O 7 , phosphorus, Sb 2 S 3 , Sn 4+ x P 3 , SnS 2 and P2-Na 0.66 [Li 0.22 Ti 0.78 ]O 2 (refs 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ). However, their energy and power densities severely suffer from the trade-off, and the large volume change accompanied by the reaction with the large Na ion generally results in poor cycle stability, both of which have spurred us to develop new negative electrodes based on pseudocapacitive charge storage for advanced Na-ion systems. We have targeted MXenes as pseudocapacitor electrodes in this study. MXenes have been developed as a novel family of nanosheet compounds by Gogotsi, Barsoum and colleagues 20 21 22 23 24 25 MXenes are chemically derived from layered M n +1 AX n or MAX phases, where M is an early transition metal, A is an A-group element and X is C and/or N 26 . For example, a hydrofluoric-acid treatment of Ti 3 AlC 2 selectively extracts the aluminum layer, resulting in an exfoliated nanosheet compound, the MXene Ti 3 C 2 (Ti 3 C 2 T x where T x denotes surface function groups), which has a surface terminated with OH, F and O. Importantly, the MXene has both a high electrical conductivity and large surface area; therefore, its application to pseudocapacitor electrodes holds great promise. Indeed, the pseudocapacitance of Ti 3 C 2 T x , Ti 2 CT x , V 2 CT x and Nb 2 CT x in nonaqueous Li-ion electrolytes delivers a specific capacity &gt;100 mAh g −1 below 2 V versus Li/Li + (refs 22 , 27 , 28 , 29 , 30 , 31 , 32 ). <anchor xml:id="a7"/>Here, we report on Ti 2 CT x as a negative electrode material for Na-ion hybrid capacitors.<anchor xml:id="a8"/> <anchor xml:id="a9"/>The pseudocapacitance of Ti 2 CT x allows Na-ion hybrid capacitors to be liberated from the trade-off between high energy and high power.<anchor xml:id="a10"/> Results Electrochemical properties of Ti 2 CT x <anchor xml:id="a11"/>Ti 2 CT x was synthesized by treating the MAX phase Ti 2 AlC with a 10% HF aqueous solution.<anchor xml:id="a12"/> Powder X-ray diffraction (XRD) shows the expansion of the interlayer distance by the hydrofluoric acid (HF) treatment, suggesting successful removal of the Al layers by the HF treatment ( Supplementary Fig. 1 ). The significant decrease in the amount of Al according to energy dispersive X-ray spectroscopy (EDX) supports the selective extraction of Al. A delamination process such as sonication was not conducted 22 ; therefore, Ti 2 CT x in this work is a multilayered MXene, as imaged by scanning electron microscopy ( Supplementary Fig. 2 ). The Ti 2 CT x electrode in a nonaqueous Na + electrolyte behaves differently than in an aqueous Na + electrolyte or a nonaqueous Li + electrolyte. Figure 1a shows the cyclic voltammetry (CV) and corresponding ex situ XRD patterns of the MXene Ti 2 C in a 1 M NaPF 6 /ethylene carbonate (EC)−diethyl carbonate (DEC) electrolyte. Lukatskaya et al. 23 reported that Ti 3 C 2 T x placed in various aqueous salt (NaOH, KOH, LiOH and so on) solutions exhibits a downshift in the (002) diffraction peak in the XRD pattern, corresponding to spontaneous cation intercalation. <anchor xml:id="a13"/>In contrast, Ti 2 CT x immersed in a nonaqueous 1 M NaPF 6 /EC−DEC electrolyte exhibits no downshift in the (002) diffraction peak by immersion into the electrolyte alone, which indicates that Na + intercalation does not occur spontaneously.<anchor xml:id="a14"/> The first cathodic scan exhibits an irreversible current below 1.0 V versus Na/Na + and an associated downshift in the (002) diffraction peak. As EDX confirms an increase in the Na content in Ti 2 CT x ( Supplementary Table S1 ), Na + is definitely intercalated/adsorbed into/onto the MXene sheets electrochemically. <anchor xml:id="a15"/>On the basis of the shift in the (002) diffraction peak, the expansion of the interlayer distance is estimated as 2.5 Å.<anchor xml:id="a16"/> <anchor xml:id="a17"/>The expansion is also confirmed by transmission electron microscopy images ( Fig. 1b,c ).<anchor xml:id="a18"/> <anchor xml:id="a19"/>Because the expansion is consistent with the size of bare Na + , Na + intercalation occurs after desolvation at the electrode/electrolyte interface during the initial reduction process ( Fig. 2 , activation).<anchor xml:id="a20"/> After initial Na + intercalation, Ti 2 CT x exhibits pseudocapacitor behaviour. The subsequent CV cycles after the first cycle exhibit the stable rectangular-shaped CV below ~2.0 V, corresponding to typical capacitor behaviour. In addition, a reversible pair of relatively sharp cathodic/anodic peaks is observed at ~2.3 V in each cycle. <anchor xml:id="a21"/>Although the (002) diffraction peak does not shift during the cycles, EDX confirms a reversible change in the Na content, and X-ray photoelectron spectroscopy (XPS) detects a reversible spectral change in the Ti 2 p XPS spectrum ( Supplementary Fig. 3 ), which is indicative of a charge transfer reaction.<anchor xml:id="a22"/> <anchor xml:id="a23"/>Therefore, the current flow from Ti 2 CT x in the nonaqueous Na + electrolyte is attributable to the pseudocapacitance without exhibiting shrinkage/expansion of the interlayer distance.<anchor xml:id="a24"/> As reported previously, Ti 3 C 2 T x and Ti 2 CT x in a nonaqueous Li + electrolyte exhibit shrinkage/expansion of the interlayer distance during the cycle 27 28 . For example, Ti 2 CT x in a nonaqueous Li + electrolyte exhibits a change in the interlayer distance between 18.7 and 18.0 Å (4% change). In contrast, bare Na + is intercalated between the MXene sheets for Ti 2 CT x in a nonaqueous Na + electrolyte to expand the interlayer distance from 7.7 to 10.1 Å during the first cathodic process ( Fig. 2 , activation). <anchor xml:id="a25"/>Then, activated Ti 2 CT x allows reversible Na + intercalation/deintercalation into the interlayer space as well as reversible Na + adsorption/desorption onto the surface of each layer/sheet, where the change in the interlayer distance is small within ~0.1 Å ( Fig. 2 and Supplementary Table 2 ).<anchor xml:id="a26"/> <anchor xml:id="a27"/>Because EDX detects residual Na + , even at 3.0 V ( Supplementary Table 1 ), residual Na + may behave as a pillar between the MXene Ti 2 C layers during the entire charge/discharge process, maintaining the interlayer distance at an almost constant value.<anchor xml:id="a28"/> <anchor xml:id="a29"/>Another possible explanation for the constant interlayer distance is that the expansion due to Na + intercalation is balanced by the Coulombic attraction between the MXene sheets and intercalated Na 33 .<anchor xml:id="a30"/> The CV curves of activated Ti 2 CT x measured at various scan rates ( Supplementary Fig. 4 ) provide insights into the reaction kinetics. <anchor xml:id="a31"/>The b -value analysis ( i = av b ; i : current; v : scan rate; a , b : constants) for the peak current at ~2.3 V gives a b -value of unity for 0.05&lt; v &lt;0.5 mV s −1 , which is indicative of a surface-controlled reaction.<anchor xml:id="a32"/> Presumably, (de)solvation or charge transfer at the interface rather than slow Na + diffusion in the bulk determines the reaction rate. <anchor xml:id="a33"/>Ti 2 CT x as negative-electrode material Having confirmed that activated Ti 2 CT x is a promising candidate as a negative-electrode material for Na-ion hybrid capacitors, galvanostatic charge/discharge experiments were conducted.<anchor xml:id="a34"/> <anchor xml:id="a35"/>Here, charging is a cathodic process (Na + adsorption/intercalation), whereas discharging is an anodic process (Na + desorption/deintercalation).<anchor xml:id="a36"/> Figure 3a shows the charge−discharge curves measured between the cut-off voltages of 0.1−3.0 V versus Na/Na + at 20 mA g −1 . <anchor xml:id="a37"/>The first charge exhibits a voltage plateau at ~0.6 V, delivering a relatively large capacity of 360 mAh g −1 .<anchor xml:id="a38"/> <anchor xml:id="a39"/>The following first discharge curve has a capacitor-type slope in the range of 0.2−2.5 V but with a much smaller capacity, resulting in a relatively low Coulombic efficiency of 65% for the first cycle.<anchor xml:id="a40"/> However, after the initial few cycles for activation, Ti 2 CT x exhibits stable and efficient electrode performance. The charge/discharge profiles exhibit a capacitor-type slope in the range of 0.1−2.3 V (an average operating potential of 1.3 V), delivering a reversible capacity of ~175 mAh g −1 with good cycle stability ( Fig. 3b , 12 and 19% losses of the second capacity after 50 and 100 cycles, respectively). The average operating potential of 1.3 V is relatively high when used as the negative electrode but is beneficial for stable operation, retaining the capacity at a high rate and avoiding Na metal plating for safety. The Na/Ti elemental ratio determined by EDX during the first two cycles allow us to estimate the capacity ( Supplementary Fig. 5 ) for various possible nominal chemical formulae of Ti 2 CT x (Ti 2 CO 2 , Ti 2 C(OH) 2 and Ti 2 CF 2 ). The first experimental charge capacity (359 mAh g −1 ) is larger than the estimated ones (308−321 mAh g −1 ), whereas the first discharge capacity (233 mAh g −1 ) is close to the estimated ones (224−234 mAh g −1 ). Thus, the initial irreversible capacity arises from the decomposition of the electrolyte as well as the residual Na + between the MXene layers ( vide supra ). <anchor xml:id="a41"/>The electrolyte decomposition during the initial cycles may form stable solid−electrolyte interface, which inhibits continuous electrolyte decomposition.<anchor xml:id="a42"/> Figure 3c shows the charge/discharge profiles of Ti 2 CT x at various specific currents. <anchor xml:id="a43"/>The reversible capacity is retained, even at extremely high rates (156, 113 and 63 mAh g −1 at 200, 1,000 and 5,000 mA g −1 , respectively).<anchor xml:id="a44"/> Figure 3d compares the rate capability of Ti 2 CT x , hard carbon 11 , expanded graphite 12 and P2-Na 0.66 [Li 0.22 Ti 0.78 ]O 2 (ref. 19 ). Although the carbon compounds (expanded graphite and hard carbon) deliver a high capacity of ~300 mAh g −1 at a low rate, the capacity retention at high rates is much lower than that of Ti 2 CT x . P2-Na 0.66 [Li 0.22 Ti 0.78 ]O 2 is an electrode material without a change in lattice volume during the cycle; therefore, the minimum structural change associated with (de)sodiation enables a high capacity retention at high rates. <anchor xml:id="a45"/>However, the theoretical capacity of P2-Na 0.66 [Li 0.22 Ti 0.78 ]O 2 is much smaller than that of Ti 2 CT x ; Ti 2 CT x delivers much higher capacity at any charge/discharge rate.<anchor xml:id="a46"/> Therefore, Ti 2 CT x is a high-performance electrode material with a high capacity, stability, safety and a high power. <anchor xml:id="a47"/>It should be emphasized that the high rate capability was obtained with a thick electrode (thickness: 50 μm); therefore, its practical application to Na-ion hybrid capacitors is highly realistic.<anchor xml:id="a48"/> Full cell with Ti 2 CT x and Na 2 Fe 2 (SO 4 ) 3 To further demonstrate the potential of Ti 2 CT x in Na-ion hybrid capacitors, a prototype full cell ( Fig. 4a ) was fabricated by utilizing Ti 2 CT x as a negative electrode and alluaudite Na 2 Fe 2 (SO 4 ) 3 as a positive electrode. Recently, our group has discovered alluaudite Na 2 Fe 2 (SO 4 ) 3 as a promising positive-electrode material that exhibits a specific capacity of 100 mAh g −1 at a high operating potential of 3.8 V versus Na/Na + , the highest value among all Fe-based compounds, which enables the Na-ion full cell to achieve both high energy and high power densities 34 35 . <anchor xml:id="a49"/>The mass balance between the positive and negative electrodes was fixed to 4:1 to ensure full activation of Ti 2 CT x during the first charge.<anchor xml:id="a50"/> Figure 4b shows the charge/discharge curves for the full cell measured at current densities of 150 and 600 mA g −1 (based on the weight of Ti 2 CT x ). Note that the first cycle was conducted at 20 mA g −1 (based on the weight of Ti 2 CT x ) to activate Ti 2 CT x . <anchor xml:id="a51"/>After the first cycle, the cell exhibits a voltage profile that mainly reflects the potential of Ti 2 CT x because the cell capacity is limited by the Ti 2 CT x negative electrode ( Fig. 3a ).<anchor xml:id="a52"/> <anchor xml:id="a53"/>The average operating voltage is 2.4 V, and the reversible capacities of the second cycle are 133 and 107 mAh g −1 at 150 and 600 mA g −1 (based on the weight of Ti 2 CT x ), respectively, achieving theoretical energy densities of 320 and 260 Wh kg −1 at specific power densities of 360 and 1,440 W kg −1 (based on the weight of Ti 2 CT x ), respectively.<anchor xml:id="a54"/> <anchor xml:id="a55"/>Both the cycle stability and efficiency of the full cell are extremely high.<anchor xml:id="a56"/> <anchor xml:id="a57"/>As demonstrated in Fig. 4c , the loss of the discharge capacity after 100 cycles at 600 mA g −1 is only 4% of the second discharge capacity.<anchor xml:id="a58"/> <anchor xml:id="a59"/>Furthermore, the Coulombic efficiency for cycling at 600 mA g −1 reaches ~99.7% after a few initial cycles.<anchor xml:id="a60"/> <anchor xml:id="a61"/>The excellent cycle stability and efficiency may be attributed to the pseudocapacitive charge storage mechanism without a large structural change.<anchor xml:id="a62"/> Figure 4d plots the charge/discharge profiles of the alluaudite Na 2 Fe 2 (SO 4 ) 3 −Ti 2 CT x full cell at various current rates, demonstrating the promising high-power performance of the cell ( Supplementary Fig. 6 ). <anchor xml:id="a63"/>The full cell provides reversible capacities of 90 and 40 mAh g −1 , even at extremely high rates of 1,000 and 5,000 mA g −1 (based on the weight of Ti 2 CT x ).<anchor xml:id="a64"/> <anchor xml:id="a65"/>Thus, by utilizing the pseudocapacitive negative electrode, the Na-ion hybrid capacitor overcomes the trade-off limit and potentially surpasses state-of-the-art high-power rechargeable batteries.<anchor xml:id="a66"/> <anchor xml:id="a67"/>Although the capacity for the total weight of the positive and negative electrode materials in the present prototype cell is limited (26.6 mAh g −1 at a low rate) owing to the excess amount of positive-electrode material, an improvement in the initial Coulombic efficiency could reduce the amount of positive-electrode material, and hence, greatly increase the capacity of the full cell.<anchor xml:id="a68"/> Discussion Finally, we note a positive perspective for further improvement in the Ti 2 CT x electrode. The gravimetric capacitance from CV of the Ti 2 CT x electrode in this work is higher than that of previously reported Ti 3 C 2 T x electrodes because of the light weight of Ti 2 CT x ( Supplementary Fig. 7 ). However, very recently, Ghidui et al. 36 have reported a new method to synthesize Ti 3 C 2 T x (Ti 3 C 2 T x ‘clay’) using a solution of lithium fluoride and hydrochloric acid. <anchor xml:id="a69"/>The resulting Ti 3 C 2 T x ‘clay’ delivers a high volumetric capacitance of 900 F cm −3 and a gravimetric capacitance of 245 F g −1 , which is much higher than those of the previously reported Ti 3 C 2 T x electrodes and the Ti 2 CT x electrode in this work.<anchor xml:id="a70"/> According to Ghidui et al. 36 , the Ti 3 C 2 T x clay provides a much higher capacitance at higher rates owing to the improved accessibility of the interlayer spacing. Therefore, the synthetic procedure applied for the Ti 3 C 2 T x clay, that is, the LiF+HCl treatment, could further improve the performance of Ti 2 CT x . In summary, the use of the pseudocapacitance of MXene nanosheets was demonstrated as an effective strategy for developing high-performance Na-ion hybrid capacitors. A pseudocapacitance with no significant structural changes can store more charge at a faster charge–discharge rate relative to the ion intercalation and double-layer mechanisms. In the present case, Ti 2 CT x operates as a pseudocapacitor electrode material at 1.3 V on average versus Na/Na + with a reversible capacity of 175 mAh g −1 . The alluaudite Na 2 Fe 2 (SO 4 ) 3 −Ti 2 CT x prototype cell delivers a high specific energy of 260 Wh kg −1 at a high specific power of 1.4 kW kg −1 (based on the weight of Ti 2 CT x ), which overcomes the trade-off limit associated with conventional electrochemical energy storage. By exploiting the compositional and structural versatility of MAX phases and the resulting optimized MXenes, we could further extend the possible sets of electrodes for advanced Na-ion hybrid capacitors. Methods Synthesis of Ti 2 CT x Ti 2 AlC was prepared by heating a precursor mixture of TiC (&gt;99%, High Purity Chemicals, Japan), Ti (&gt;99%, High Purity Chemicals, Japan) and Al (&gt;99.9%, High Purity Chemicals, Japan) at 1,300 °C for 1 h in an Ar gas environment. Ti 2 CT x was synthesized by treating 1 g of Ti 2 AlC powder in 10% HF aqueous solution (Wako) for 12 h at room temperature. The HF-treated powder was dried in vacuum at 60 °C for 24 h. Materials characterization Powder X-ray diffraction patterns were recorded on a Rigaku RINT-TTR III powder diffractometer with Cu Kα radiation in a step of 0.02° over a 2 θ range of 10−80°. Scanning electron microscopy measurements were carried out on a JEOL 6510FA apparatus equipped with an energy dispersive X-ray (EDX) spectrometer for chemical analysis. Transmission electron microscopy was conducted on a JEOL JEM-2100 at 200 kV. X-ray photoelectron spectroscopy (XPS) data were collected using a ULVAC PHI 5000 VersaProbe spectrometer with monochromatized Al Kα radiation ( hv =1,486.6 eV). The pressure in the analysis chamber during the measurements was maintained in the 10 −7 Pa range. The powder sample was pressed onto conductive carbon, and peaks were recorded with a constant pass energy mode of 117 eV for survey investigation. High-resolution spectra were taken at a pass energy of 23 eV, with a step of 0.1 eV. All binding energies were referenced to that of free carbon at 284.5 eV. The crystal structure was drawn using VESTA 37 . Electrochemical measurement For electrochemical studies, the working electrode was fabricated by mixing 80 wt% Ti 2 CT x , 10 wt% acetylene black and 10 wt% polyvinylidene difluoride binder in a minimal amount of N -methylpyrrolidone (NMP) solvent. This slurry was pasted on an aluminum-foil current collector, and the as-obtained electrode sheet was dried overnight at 120 °C in vacuum. <anchor xml:id="a71"/>The electrode thickness and mass loading are ~50 μm and ~1 mg cm −2 , respectively, for all electrochemical measurements (CV and charge–discharge).<anchor xml:id="a72"/> <anchor xml:id="a73"/>CR2032-type coin cells were assembled with Na metal as the counter electrode, a glass fibre filter (GB-100R, ADVANTEC) as the separator and 1 M NaPF 6 in ethylene carbonate-diethyl carbonate (EC−DEC, 1:1 v/v%) as the electrolyte.<anchor xml:id="a74"/> These cells were assembled inside an Ar-filled glove box (Miwa Inc., Japan) (dew point &lt;−100 K). They were galvanostatically (dis)charged in the potential range 0.1–3.0 V. The gravimetric capacitance in farads per gram from CV is given by , where C is the gravimetric capacitance, j is the specific current in amperes per gram, s is the scan rate in volts per second, V is the voltage in volts and Δ V is the voltage window. Full cell fabrication For full cell preparation, alluaudite Na 2 Fe 2 (SO 4 ) 3 was used as a positive electrode material. Alluaudite Na 2 Fe 2 (SO 4 ) 3 was synthesized according to the procedure described previously 34 . The full cell was prepared with the alluaudite Na 2 Fe 2 (SO 4 ) 3 electrode as a positive electrode, the Ti 2 CT x electrode as a negative electrode, a glass fibrr membrane as a separator, and 1 M NaPF 6 /EC−DEC as an electrolyte. The cut-off voltages were 3.8 V for charging and 0.1 V for discharging. Author contributions M.O. and A.Y. conceived and directed the project. M.O., X.W., S.K., H.I., E.H., S.O. and I.M. synthesized Ti 2 CT x . M.O. and X.W. measured and analysed the electrochemical properties. S.K. measured the performance of the full cells. All authors contributed to the writing of the paper. Additional information How to cite this article: Wang, X. et al. Pseudocapacitance of MXene nanosheets for high-power sodium-ion hybrid capacitors. Nat. Commun. 6:6544 doi: 10.1038/ncomms7544 (2015). Supplementary Material Supplementary Information Supplementary Figures 1-7, Supplementary Tables 1-2.<anchor xml:id="a75"/></p>
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