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Sulfur-inserted polymer-anchored edge exfoliated graphite for durable positive electrodes for lithium–sulfur batteries

Lithium–sulfur batteries hold promising potential for next-generation high-energy-density energy storage. One of their major technical problems is the sulfur active material loss and significant volume change during the charge–discharge process, resulting in rapid capacity fading. Here, we propose sulfur-inserted polymer-anchored edge exfoliated graphite as a positive electrode to accommodate the conflicting requirement of physically restraining sulfur dissolution while maintaining structural flexibility to cope with the volume expansion. The introduction of sulfur between the flexible polymer-anchored graphene layers is achieved by a simple chemical reaction at ambient temperature. The obtained sulfur–carbon composite demonstrates superior sulfur efficiency and cyclability compared to mesoporous carbon-based counterparts. The strong interfacial attraction between sulfur and highly-conductive graphene sheets at the confined interlayer space enables rapid charge transfer and effectively inhibits the polysulfide dissolution, resulting in improved redox reaction reversibility and sulfur efficiency. More importantly, the structural flexibility of layered structure, derived from polymer-anchor, guarantees the stable cycling by accommodating the significant volume expansion of sulfur active materials. Our work provides a simple, proof-of-concept strategy for improving the overall performance of carbon-based positive electrode for Li–S batteries.


Introduction
Developing rechargeable battery technologies beyond the lithium-ion type is vital to meet the urgent demand for electric vehicles and energy storage systems, coping with long-term sustainability in the energy infrastructure. 1,2 Across the electrode materials reported, elemental sulfur (S 8 ) offers one of the highest gravimetric capacities, together with large earthabundance and low cost. [3][4][5][6][7][8] Lithium-sulfur (Li-S) batteries utilize the reactions between elemental sulfur and metal sulde, which can store two electrons per sulfur atom, yielding the discharge capacity of 1675 mA h g sulfur À1 . 9,10 However, Li-S batteries have encountered several decisive difficulties, including poor cyclability, low specic capacity, and low sulfur efficiency, [11][12][13] all of which are rooted in the complex sulfur chemistries; (1) low electrical conductivity of S 8 and its discharge product (namely Li 2 S), 14,15 (2) dissolution of lithium polysulde intermediates in the electrolyte, 16,17 and (3) signicant volume change of sulfur during the lithiation-delithiation process. 18 Various strategies have been proposed to tackle these problems of Li-S batteries, including the optimization of either highly-conductive support materials and/or electrolytes, to physically restrain polysulde dissolution. The physical restraint methods have been pursued by carbon coating on sulfur, 19 utilizing polymeric electrolytes, 20 and designing morphology of carbon. 21,22 Recent studies suggest that the carbon with optimized structure, namely, porous carbon materials, can be one of the most effective and facile candidates to inhibit the polysulde dissolution. 11,23,24 The advantage of porous carbon materials is derived mainly from its excellent conductivity, 13 large surface area, and substantial adsorption property. 25,26 Various porous carbon-sulfur composites have been reported based on carbon nanotubes, 27 mesoporous carbon, 28,29 graphene, 12,30 and hollow carbon. 31 Although some of the Li-S batteries based on those materials have achieved a superior specic capacity of >1000 mA h g sulfur À1 , keeping the initial high specic capacity remains a challenge (see Table S1 † for the initial capacity and capacity retention of the state-of-theart positive electrodes). The main obstacle is to maintain an electrochemically favorable electrode structure during longterm cycling, since the rigid porous structure of carbon cannot accommodate the substantial volume change of sulfur and gradually fracture during the redox process. 12,32 The ideal scenario is that the sulfur should be trapped and bound in conned space within the carbon materials to avoid the poly-sulde dissolution while accommodating the signicant volume expansion by having certain structural exibility.
In this study, we validated the above material design strategy by chemically inserting sulfur into the graphene layer, which is anchored by exible and robust polypropylene glycol (PPG), and used as a positive electrode material for Li-S batteries. We designed an effective strategy for inserting sulfur between the polymer-anchored graphene sheet based on a simple acid-base reaction at ambient temperature. The strong interfacial attraction between sulfur and highly-conductive graphene sheet as well as the structural exibility of graphene layered structure derived from PPG-anchor were keys to achieve the high initial discharge capacity (1154 mA h g sulfur À1 ) as well as improved cyclability compared to carbon black-based counterparts. Detailed analysis of the cyclic voltammogram and gas chromatography-mass spectroscopy result revealed the enhanced reversibility of the sulfur redox reaction by short and rapid transport of both electrons and Li-ions at the conned layered structure of the electrode. The substantial improvement in Li-S battery performance conrmed the (electro)chemical and structural stability of the proposed electrode during the cycling, avoiding corrosion and/or rupture by signicant volume expansion. The proposed electrode thus meets the conicting requirement of trapping sulfur within the conned and rigid structure while maintaining certain structural exibility, which carves out the way for the practical application of Li-S battery technologies.

Electrocatalyst preparation
Polymer-anchored edge-exfoliated graphite (polymer-EExG) was synthesized following the previously reported method. 33 Polypropylene glycol (PPG, Sanyo Chemical) and polyethylene glycol (PEG, Sanyo Chemical) were selected as an anchoring polymer and decorated at the edge portion of the expanded graphite (PF8, Toyo Tanso) by radical trapping and subsequent heat treatment. The excess polymer was removed by treated the resultant composite at 500 C for 120 min.
The simple acid-base reaction between sodium thiosulfate (Wako Pure Chemical) and hydrochloric acid (Wako Pure Chemical) was employed to obtain carbon-sulfur composite. 12,34 The solution containing 0.1 g of carbon (G and ExG), 1.7 g of sodium thiosulfate, and 20 mL of deionized water was mixed with 1.2 mL of hydrochloric acid dropwise at 60 C and stirred for 5 min. The resulting solid product is then ltered and rinsed with deionized water and dried in vacuum at 60 C for 12 h. The corresponding polymer-EExG-sulfur composite was synthesized in a similar manner, except for having a pre-dispersion process of ultrasonic dispersion in 10 mL of tetrahydrofuran (THF, Wako Pure Chemical) for 3 h. The dispersed liquid added to the solution consists of 1.6 g of sodium thiosulfate and 10 mL of deionized water. The acid-base reaction was carried out following the procedure described above.

Characterization methods
The microstructure of the electrocatalysts was analyzed by a scanning electron microscope (SEM, JSM-7600F, JEOL Ltd.) equipped with an energy dispersive X-ray spectrometer (EDS, JMS-7600F, JEOL Ltd.). SEM was performed on an accelerating voltage of 5 kV.
The X-ray diffraction (XRD) patterns of the electrocatalysts were obtained using an X-ray diffractometer (Rigaku Ultima IV) with Cu Ka radiation. Thermogravimetric analysis (TGA) was performed using a Thermo Plus EVO II (Rigaku) from room temperature to 500 C, at a heating rate of 20 C min À1 under helium atmosphere. Thermal decomposition temperature (T d ) was dened as the temperature at which 5% weight loss took place in TGA. The gas chromatography-mass spectroscopy (GC-MS) of the electrode before and aer the galvanostatic measurement was performed on GCMS-QP2010Ultra (Shimadzu). Aer reaching the end-of-charge potential, the CR2032type coin cell was immediately disassembled in Ar-lled glovebox and dried in the Ar atmosphere before the measurement.

Electrochemical methods
The electrochemical behavior of the electrodes was conrmed by galvanostatic measurements and cyclic voltammetry (CV) in twoelectrodes cells (CR2032-type coin cells). Cells were assembled in an Ar-lled glovebox and comprised of a Li metal foil (Honjo Metal) as the negative electrode, separated by glass lter separator (Advantec). The positive electrode was obtained by mixing carbon-sulfur composite and sodium alginate (Kishida) in a 10 : 1 weight ratio with ultrapure water. The slurry was further stirred for 15 min, followed by deforming for 3 min by electric mixer (AR-100, Thinky). The resultant slurry was deposited on the carbon paper (TGP-H-060, Toray) and dried at 60 C for 24 h. Subsequently, positive electrodes were cut into a round with a diameter of 10 mm. Mass loading of sulfur on the cathode and catalyst loading for the electrode used in this study were summarized in Table S4. † 100 mL of electrolyte (1 M lithium bis(triuoromethanesulfonyl)imide (LiTFSA, Kishida) in a 1 : 1 volume ratio 1,2-dimethoxyethane (DME, Kishida) : 1,3-dioxolane (DOL, Kishida) with 0.1 M LiNO 3 (Wako pure Chemicals) additive) was impregnated to the glass lter separator.
Galvanostatic charge-discharge measurements were performed in the potential range of 1.7-3.3 V at 30 C using an automatic charge/discharge instrument (HJ1001SD8, Hokuto Denko). Cells were charged at a rate of 0.05C (around 0.065 mA cm À2 ) for all the electrodes, based on the theoretical capacity calculated based on the mass of sulfur obtained by TG measurement. Specic capacity was calculated based on the mass of sulfur (mA h g sulfur À1 ) unless otherwise noted. An SP-150 Potentiostat (Bio-Logic) was employed to conduct the cyclic voltammetry (CV) with the CR2032-type coin cell. Lithium metals were used as a counter electrode as well as a quasireference electrode. Potential is converted to Li/Li + scale (V Li ) unless otherwise noted.

Effect of sulfur at the graphite interlayer on Li-S battery performances
Chemical incorporation of sulfur to the polymer-anchored edgeexfoliated graphite (polymer-EExG), based on a simple acidbase reaction, introduces sulfur uniformly into the interlayer space of graphene sheets without bulk sulfur formation ( Fig. 1). Scanning electron microscopy (SEM) image ( Fig. 1a) and the corresponding elemental mapping of sulfur ( Fig. 1a) from energy dispersive spectrometer (EDS) analysis conrmed that the sulfur uniformly dispersed on the graphene surface with negligible bulk sulfur for all the electrodes tested in this study. The signicantly improved dispersion of sulfur was observed for the PPG-EExG-S(chem), reecting the excellent dispersibility of PPG-EExG in the THF-contained aqueous solution for the sulfur deposition reaction.
The amount of sulfur in G-S(chem), ExG-S(chem), and PPG-EExG-S(chem) electrodes were almost the same ($65 wt%), according to the TG analysis (Fig. 1b). All the electrode showed the weight loss at ca. 150 C, which corresponds to the evaporation of S 8 . 35 The onset temperature of the weight loss for PPG-EExG-S(chem) was slightly higher (ca. 200 C) than bare S 8 particle (ca. 180 C) synthesized by the same method (noted as S 8 (chem)), which indicates the stabilization of sulfur by the strong interaction with support materials. 36 The slight shi of the evaporation temperature for PPG-EExG-S(chem) thus suggests the introduction of S 8 into more conned spaces, e.g., interlayer space of graphene sheets, where S 8 can strongly interact with graphene due to a short contact distance between the S atoms to the graphene sheet. A similar phenomenon was observed for the thermal decomposition of the polymer anchor, where the PPG anchor showed signicantly improved thermal stability up to $600 C compared to that of pristine PPG (T d ¼ 250 C (ref. 33)) (Fig. S1 †). Our hypothesis was supported by the XRD analysis (Fig. 1c), where the diffraction peak corresponds to graphite (002) peak negatively shied for PPG-EExG-S(chem) compared to G-S(chem) and ExG-S(chem). The decrease in the 2q value corresponds to the expansion of the average graphene layer distance (calculated from 2q of (002) peaks by Bragg's equation), 37 indicating the introduction of S 8 into the interlayer space of graphene sheets. We then evaluated the electrochemical Li storage capability of these carbon-sulfur composites as potential positive electrode materials for Li-S batteries. The PPG-EExG-S(chem) electrode exhibits higher initial capacity as well as cyclability compared with the G-S(chem) and ExG-S(chem), suggesting high sulfur efficiency and less dissolution of intermediates (e.g., polysuldes) for PPG-EExG-S(chem) electrode (Fig. 2). The notable improvement of overall electrochemical performance for the PPG-EExG-S(chem) electrode suggests the critical role of sulfur at the interlayer space of graphene sheets.
Discharge and charge voltage proles for the carbon-sulfur composites (G-S(chem), ExG-S(chem), and PPG-EExG-S(chem)) containing $65 wt% sulfur conrms the same pattern of discharge and charge plateaus for all the carbon-sulfur composites at various cycles (Fig. 2a). The discharge curves exhibited typical two-plateau behavior of a sulfur positive electrode, corresponding to the formation of long-chain poly-suldes (Li 2 S x , x > 4) at 2.3 V and short-chain polysuldes (Li 2 S 2 and Li 2 S) at 2.1 V. 4,38 Flat plateau for the latter process suggests a uniform deposition of Li 2 S with small kinetic barriers. 31 The initial specic capacity (calculated according to the mass of sulfur) was in the order of PPG-EExG-S(chem) (1154 mA h g sulfur À1 ) > G-S(chem) (876 mA h g sulfur À1 ) ¼ ExG-S(chem) (870 mA h g sulfur À1 ), suggesting improved sulfur efficiency for PPG-EExG-S(chem). Furthermore, superior cyclability was conrmed for PPG-EExG-S(chem) electrode compared to the G-S(chem) and ExG-S(chem) electrodes (Fig. 2b). PPG-EExG-S(chem) electrode delivers a reversible capacity of 517 mA h g sulfur À1 aer 20 cycles with the capacity retention of 45%. The G-S(chem) and ExG-S(chem) electrodes, on the contrary, exhibits a reversible capacity of only 382 mA h g sulfur À1 and 374 mA h g sulfur À1 , respectively, aer 20 cycles. Comparison of the coulombic efficiency also highlights the superior cyclability of PPG-EExG-S(chem) than G-S(chem) and ExG-S(chem), where coulombic efficiency of PPG-EExG-S(chem) showed a steady value of >97.8% aer the 10th cycle while that of G-S(chem) and ExG-S(chem) was $95%. Based on the above experimental ndings, we hypothesize that the introduction of sulfur into the interlayer space of graphene sheets plays a pivotal role in the improved initial capacity and cyclability of the PPG-EExG-S(chem) electrode. Our hypothesis was supported by the evaluation of Li-S battery performance for the corresponding carbon-sulfur composites synthesized via mechanical mixing, where no improvement on Li-S battery performance was observed for PPG-EExG-derived electrodes without sulfur at the interlayer space of graphene sheets (Fig. 3).
The XRD patterns of the mechanically mixed carbon-sulfur composites (denoted as G-S(mix), ExG-S(mix), and PPG-EExG-S(mix)) showed negligible change in graphite (002) peak at 26.4 , suggesting almost no sulfur was introduced into the interlayer space of graphene sheets via mechanical mixing, unlike the chemical incorporation of sulfur (Fig. 3a). Thermogravimetric curves for all the mechanically mixed carbonsulfur composites overlapped with the TG curve of sulfur powder, further conrms no introduction of sulfur into the interlayer space of graphene occurred via mechanical mixing (Fig. 3b). The XRD and TG analysis thus conrm that all the mechanically mixed carbon-sulfur composites, including PPG-EExG-S(mix), have a negligible amount of sulfur at the interlayer space of graphene sheet. Initial specic capacity and cyclability for the G-S(mix), ExG-S(mix), and PPG-EExG-S(mix) electrodes were almost the same (Fig. 3c), indicating the distinctive improvement in initial capacity and cyclability of the PPG-EExG-S(chem) electrode was mainly achieved by the sulfur at the interlayer space of graphene sheet.

Sulfur redox at the graphite interlayer
In order to understand the details of the sulfur redox reaction at the conned space between the graphene sheet, we compared the electrochemical behavior of PPG-EExG-S(chem) and PEG-EExG-S(chem), having different polymer to anchor the graphene sheet (Fig. 4). The result conrms that the sulfur at graphene interlayer indeed contributes to the high initial Characterization and electrochemical performance of the G-S(mix), ExG-S(mix), and PPG-EExG-S(mix) electrodes synthesized via mechanical mixing. (a) X-ray diffraction patterns of G-S(mix), ExG-S(mix), and PPG-EExG-S(mix). X-ray diffraction patterns of commercially available S 8 powder is also shown for comparison. (b) Thermogravimetric curves for G-S(mix), ExG-S(mix), and PPG-EExG-S(mix) obtained under He atmosphere at a heating rate of 20 C min À1 . Thermogravimetric curve for commercially available S 8 powder is also shown for comparison. (c) Cycle dependence of the specific discharge capacity and coulombic efficiency for G-S(mix), ExG-S(mix), and PPG-EExG-S(mix) electrode calculated from galvanostatic charge-discharge measurement at a rate of 0.05C. capacity, and preserving the layered structure is the key to the improved cyclability.
We selected two different polymer anchors, PPG and polyethylene glycol (PEG), having slightly different chemical structure to highlight the importance of the polymer anchor and polymer-anchored graphene interlayer on the electrochemical performance. X-ray diffraction pattern conrms the introduction of sulfur into the graphene interlayer for both PPG-EExG-S(chem) and PEG-EExG-S(chem) electrode, suggesting the comparable initial state of the sulfur for those electrodes (Fig. 4a). The shape of graphene (002) peak of PEG-EExG-S(chem) electrode changed signicantly aer soaked in LiTFSA-DME/DOL electrolyte for 48 h, suggesting the breakage of stacked graphene structure due to the dissolution of PEGanchor (Fig. 4a). Therefore, PEG-EExG-S(chem) can highlight the effect of the sulfur at the interlayer space on its redox behavior, since it has the sulfur at the graphene interlayer in the beginning, but cannot maintain the stacked graphene structure in the electrochemical condition for a certain time (<48 h). Initial cycle of the cyclic voltammogram was similar for those two electrodes (Fig. 4b); rst reduction peak was observed at ca. 2.3 V Li followed by the second reduction peak at ca. 2.1 V Li , which correlates with the formation of long-chain polysuldes and short-chain polysuldes, respectively. The large oxidation peak corresponds to S 8 formation was observed at ca. 2.4 V Li , which gave oxidation current density of 2.5 mA cm À2 for PPG-EExG-S(chem) and 2.3 mA cm À2 for PEG-EExG-S(chem). The equivalent sulfur redox behavior for PPG-EExG-S(chem) and PEG-EExG-S(chem) electrode in the initial cycle conrms the participation of sulfur at the graphene interlayer in the electrochemical processes, at least in the very beginning.
On the other hand, the cycle dependence of the cyclic voltammogram separates the two electrodes, and only PEG-EExG-S(chem) electrode showed a signicant decrease in sulfur redox current by potential cycling (Fig. 4b). Discharge capacity retention, calculated from charge-discharge measurement, was consistent with the cyclic voltammetry, which conrmed the inferior cyclability for PEG-EExG-S(chem) electrode (Fig. 4c). The poor cyclability of the PEG-EExG-S(chem) electrode highlights the crucial role of the graphene interlayer to maintain high capacity. We propose that the strong interfacial attraction between sulfur and graphene at the interlayer, suggested by TG (Fig. 1b), improves the sulfur efficiency and the trapping of sulfur in the conned space inhibits the dissolution and/or diffusion of the polysulde into the electrolyte. The dissolution of the PEG anchor during the electrochemical measurement gradually ruins the graphene interlayer structure; thus, the large capacity retention was observed for PEG-EExG-S(chem) compared to PPG-EExG-S(chem), while showing the similar sulfur redox behavior in the beginning.
The preferable nature of the polymer-anchored graphene interlayer as a reaction eld of a sulfur redox reaction is further claried by comparing electrochemical performance with conventional carbon-sulfur composite electrode using porous/ conductive carbon black (denoted as KB-S(chem)) (Fig. 5). We here propose that the reaction kinetics, as well as the reversibility of the sulfur redox reaction, is enhanced at the polymeranchored graphene interlayer, due to a short and rapid transport pathway for both electrons and Li ions derived from the unique layered structure and its superior electrical conductivity.
The initial discharge capacity of both PPG-EExG-S(chem) and KB-S(chem) showed the similar value (1153 mA h g sulfur À1 for PPG-EExG-S(chem) and 1272 mA h g sulfur À1 for KB-S(chem)) ( Fig. 5a), suggested the high sulfur efficiency accomplished for both electrodes by impregnating sulfur into graphene interlayer and mesopore (2 nm < D < 50 nm), 39,40 respectively, which gave the intimate contact between sulfur and the conductive carbon substrate. However, the signicant capacity retention was observed for KB-S(chem) with 37% compared to 45% for PPG-EExG-S(chem) at 20 cycles. One of the reasons for the rapid decrease in KB-S(chem) capacity is the destruction of the mesopores for absorbing the sulfur, which is essential for limiting polysulde dissolution, due to the signicant volume change of sulfur during the redox processes. 41 The PPG-EExG-S(chem), on the other hand, maintains its unique graphene interlayer structure owing to the exible nature of polymer anchor, which can accommodate the volume expansion of sulfur.
Further detailed analysis of cyclic voltammogram revealed that the reaction reversibility, mainly Li 2 S x (x > 4) 4 S 8 redox, was improved for PPG-EExG-S(chem) electrode (Fig. 5b). The onset potentials of the rst S 8 reduction (S 8 / Li 2 S x (x > 4)) shied to more positive potential (2.4 V Li ) for PPG-EExG-S(chem) than KB-S(chem) (2.3 V Li ), suggesting the promotion of the S 8 reduction reaction on PPG-EExG-S(chem). The enhancement of the initial S 8 reduction reaction probably relates to the higher electrical conductivity of the graphene layer (241 S cm À1 for PPG-EExG, Table S2 †) than the carbon particles (15.2 S cm À1 for KB, Table S2 †). No potential shi was observed for the subsequent reduction reaction at ca. 2.0 V Li , further highlights the contribution of high electrical conductivity on the electrochemical reduction of insulating S 8 particles.
The surface product analysis of the PPG-EExG-S(chem) and KB-S(chem) electrodes aer a 5th charge, as deduced from GC-MS experiments, further supports the improved reaction reversibility for PPG-EExG-S(chem) electrode (Fig. 5c). The GC-MS curve of M/S ¼ 64 (corresponds to S 2 and SO 2 ) clearly showed distinctive features at ca. 180 C, ca. 390 C, and >450 C, which can be assigned to dissolved S 8 , short-chain polysuldes, and TFSI anion, respectively (Fig. S2 †). The assignment was further supported by the GC-MS measurement before and aer the discharge of KB-S electrode, where a notable decrease of ca. 200 C (S 8 ) peak was observed along with the increase of ca. 390 C (short-chain polysuldes) peak, suggesting the reduction of S 8 to short-chain polysuldes (Fig. S3 †). The intensity ratio of S 8 peak and the peak for shortchain polysuldes was notably larger for PPG-EExG-S(chem) than KB-S(chem), which strongly indicates that more S 8 was formed on the PPG-EExG-S(chem) electrode aer a 5th charge. The ex situ reaction product analysis conrms that the PPG-EExG-S(chem) surface is capable of completely oxidize sulfur polysuldes to the last oxidation product (namely S 8 ) efficiently, even aer 5th charge, which can contribute to the improved cyclability of PPG-EExG-S(chem) electrode.

Mechanistic discussion
We propose that the introduction of sulfur into the interlayer space of graphene sheets plays a pivotal role in the improved initial capacity and cyclability of the PPG-EExG-S(chem) electrode (Scheme 1).
For G-S, ExG-S, and PPG-EExG-S(mix) electrodes, elemental sulfur is mainly deposited on the surface, not in the graphene interlayer, which cannot promise rapid charge transfer and prevent sulfur being dissolved into the electrolyte (Scheme 1a). Although KB-S(chem) efficiently utilizes the sulfur in the initial discharge owing to its porous structure, 42 the electrode morphology gradually ruins by the signicant volume change of sulfur active materials, leading to a considerable decrease in capacity aer several cycles (Scheme 1b).
The unique structure of PPG-EExG-S(chem) with superior electrical conductivity of graphene sheets (see Table S2 †) provides a short and rapid transport pathway for both electrons and Li ions to achieve improved reaction kinetics (Scheme 1d). The large surface area (see Table S3 †), provided by the efficient use of the graphene interlayer, contributes to the intimate contact between sulfur and graphene. Furthermore, sulfur at the interlayer space may possess a strong interfacial attraction between sulfur and graphene due to a short contact distance from the S atoms to the graphene sheet. The strong sulfursupport interaction promises rapid charge transfer and prevents sulfur from being dissolved into the electrolyte. Besides, the polymer anchor, which holds the graphene sheet, provides structural exibility to accommodate the signicant volume changes for sulfur during the redox processes and helps to preserve the morphology of the electrodes. PEG-EExG-S(chem), with chemically unstable PEG-anchor, showed high initial capacity but failed to show the excellent cyclability, mainly due to the destruction of the unique layered structure upon further charge-discharge cycle (Scheme 1c).

Conclusions
In summary, a sulfur-inserted polymer-anchored edge exfoliated graphite material (PPG-EExG-S(chem)) was introduced as a positive electrode for lithium-sulfur battery with high discharge capacity as well as improved cyclability. The chemical incorporation based on a simple acid-base reaction enables the insertion of elemental sulfur in the graphene interlayer, anchored by PPG polymer. The strong interfacial attraction between sulfur and highly-conductive graphene sheet at the conned interlayer space enables rapid charge transfer and limits the dissolution of sulfur into the electrolyte, which improves the redox reaction reversibility and sulfur efficiency. The structural exibility derived from PPG-anchor is a key to maintain the initial capacity over the cycles, by accommodating the signicant volume changes of sulfur during the redox processes without destroying the unique structure. The substantial improvement in lithium-sulfur battery performance by PPG-EExG-S(chem) is thus achieved by the characteristic consistency of sulfur trapping within the conned and rigid structure while having certain structural exibility to deal with the volume change during the reaction. This work proposes one of the promising design strategies of electrode materials for the next-generation lithium-sulfur batteries, which enables further improvement in the initial capacity as well as the cyclability.

Author contributions
The manuscript was written with contributions from all authors. All authors have approved the nal version of the manuscript.

Conflicts of interest
There are no conicts to declare.