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ORIGINAL RESEARCH article

Front. Energy Res., 06 October 2020
Sec. Electrochemical Energy Storage
This article is part of the Research Topic Energy Storage Systems Beyond Li-Ion Intercalation Chemistry View all 11 articles

High Mass-Loading Sulfur-Composite Cathode for Lithium-Sulfur Batteries

  • 1National Laboratory Astana, Nazarbayev University, Nur-Sultan, Kazakhstan
  • 2School of Engineering and Digital Sciences, Nazarbayev University, Nur-Sultan, Kazakhstan
  • 3Institute of Batteries LLC, Nur-Sultan, Kazakhstan

This research aimed to increase the mass loading of sulfur in the composite electrode in order to increase the energy density of the lithium-sulfur (Li-S) cell. This requires designing the electrode with the use of conductive agents to maintain the conductivity of the sulfur composite. Therefore, the composite of sulfur with polyacrylonitrile (PAN) and carbon nanotubes (CNT) was synthesized by heating. Following that, the mass loading of sulfur was increased by using several layers of carbon fiber paper (CFP) with a large free space as a three-dimensional current collector. As a result of the heat treatment and formation of covalent bonding between pyrolyzed PAN and sulfur, uniform distribution and enhanced conductivity were achieved, while CNT maintained structural integrity, acting as an interwoven network. Due to these advantages, the mass loading of sulfur was increased up to 5 mg cm–2 while maintaining a high initial specific capacity of 1400 mAh g–1 and stable cyclability.

Introduction

The development of electric vehicles and portable devices require high power and high energy density batteries. In this regard, among the existing energy storage systems, lithium-ion batteries (LIBs) play a key role since they offer the highest power density among all known secondary batteries. Also, LIBs have important advantages such as good rate capability and long cycle life. However, the energy and power densities of conventional LIBs are reaching limited theoretical values and cannot fulfill the requirements of the new generation of portable devices and electric vehicles (Ye et al., 2016). It is mainly due to the low theoretical capacity of currently available intercalated cathode materials such as LiCoO2 and LiNi1/3Co1/3Mn1/3O2 (about 150 mAh g–1 and 188 mAh g–1, respectively) (Shin et al., 2011; Li M. et al., 2017). In addition, these transition metals are expensive and toxic. Therefore, alternative cathodes offering higher capacity with inexpensive, abundant, and environmentally friendly resources have to be developed (Nie et al., 2015).

A promising replacement for intercalated cathode materials is sulfur, since it has a high theoretical specific capacity and a high gravimetric energy density (1672 mAh g–1 and 2600 Wh kg–1, respectively) (Shin et al., 2011). Moreover sulfur has several advantages associated with low cost, environmental friendliness, and abundant resources (Hara et al., 2015; Zeng et al., 2015). However, lithium-sulfur (Li-S) battery implementation is hindered by several difficulties related to the low conductivity of sulfur and the complexity of the redox process (Li M. et al., 2017). Firstly, sulfur has low ionic and electrical conductivity (5 × 10–30 S cm–1) (Nie et al., 2015). Another problem is the formation of polysulfides, intermediate products of sulfur reduction and its dissolution in the electrolytes (Yang et al., 2014; Li et al., 2018). Polysulfides shuttle back and forth during the redox reaction leading to the loss of the active material, thus generating free space in the cathode and increasing viscosity of the liquid electrolyte (Ould Ely et al., 2018). Then polysulfides precipitate at the anode side in the form of low order lithium sulfides (Li2S2 and Li2S) (Kalybekkyzy et al., 2019). The reduction to Li2S causes large volume expansion, which leads to non-linear discharge and charge of the cell and limited cyclability (Ma and Xu, 2018; Rajkumar et al., 2019). All these issues generate rapid capacity fade, low coulombic efficiency, and low power capability.

Various strategies were addressed in order to solve the aforementioned problems such as the fabrication of composite materials using conductive polymers like polypyrrole (Zhang et al., 2012), polyaniline (Yuan et al., 2009), polyacrylonitrile (PAN) (Wang et al., 2003), carbon additives such as multi-walled carbon nanotubes (MWCNTs) (Zhang Y. et al., 2014), graphene (Li et al., 2019), graphene oxide (Peng et al., 2018), and porous carbon (Li T. et al., 2017). These efforts are generally aimed at to improve the electrical conductivity of sulfur and limit polysulfides dissolution into the electrolyte (Bakenov et al., 2017). The group of Wang was among the first to work on the fabrication of molecular-level sulfur composites, where they synthesized a sulfur-dehydrogenated polyacrylonitrile (S/DPAN) composite by heating the mixture of sulfur and PAN at 280–300°C (Wang et al., 2003). The fixing of sulfur by a conductive polymer skeleton improved cyclability and capacity of the Li-S battery (Wang et al., 2003). Covalent bonding between sulfur and cyclized conductive DPAN in some degree maintains polysulfide dissolution (Zhang et al., 2012). Also, it was investigated that the addition of conductive hosts such as graphene (Yin et al., 2012), porous carbon (Li T. et al., 2017), and carbon nanotubes (Guo et al., 2011) to the mixture of S/DPAN further improves the electrochemical performance of the electrode (Peng et al., 2017b). However, the addition of inactive conductive materials into the composite decreases the sulfur content, which in turn affects the energy density of Li-S batteries (Zhao et al., 2015).

An increase in the amount of inactive materials (polymer, carbon) significantly reduces the weight content of sulfur, resulting in low mass loading. Low mass loading of sulfur notably decreases the energy density (Peng et al., 2017a). Moreover, conventional thin 2D metallic foil (Al) current collectors are incapable of providing high mass loading of sulfur (≤2 mg cm–2) (Cheng et al., 2016). Therefore, alternative current collectors which enable high mass loading of sulfur need to be developed. There have been numerous attempts to increase mass loading and the areal capacity of sulfur using three-dimensional (3D) structures on metallic current collectors (Yu et al., 2018), freestanding carbon materials [including carbon nanotubes (Ye et al., 2016), doped carbon nanofibers (Song et al., 2017), 3D graphene composite foams (Lu et al., 2014)], structural confinement using hollow carbon nanofibers (Chung et al., 2016; Chung and Manthiram, 2018), and electro-spun 3D carbon nanofibers (Kalybekkyzy et al., 2020). These approaches are mainly based on the confinement of sulfur in conductive hosts, which enables them to limit polysulfide dissolution and thus, increases the lifetime of batteries. Among these candidates 3D carbon current collectors such as carbon fiber paper (CFP) attracts a lot of attention due to its good electrical conductivity, high mechanical and chemical stability, low density, and low cost (Yuan et al., 2009; Suktha et al., 2015).

Herein we report a simple and efficient preparation method for high mass loading sulfur composite cathodes by designing micro- and nano-level 3D carbon networks. It was achieved through synthesis of S/DPAN/CNT composite cathodes by heat treatment in an argon atmosphere, where covalent bonding between pyrolyzed PAN and sulfur diminished polysulfide dissolution, while CNT maintained structural integrity, acting as a nanoscale interwoven network and ensured electron transfer within and between the S/DPAN granules (Mentbayeva et al., 2016). Then S/DPAN/CNT was impregnated into the voids of the commercial CFP, which in its turn was used in several layers to provide bulk electron conductivity at the macro-level. As a result, mass loading of sulfur was increased up to 5 mg cm–2.

Experimental Part

Chemicals

Sulfur (98%, GOST 127.1, Tengizchevroil, Kazakhstan), polyacrylonitrile (average Mr = 150,000, J&K Scientific), multi-walled carbon nanotubes (CNT, >95%, OD: 10–20 nm, US Research Nanomaterials, Inc.), N-methyl-pyrrolidone (NMP) (>99%, Sigma-Aldrich), and polyvinylidene fluoride (PVdF, 100%, Arkema, MTI Corp.).

Preparation of S/DPAN/CNT Composite Cathode

Sulfur was manually ground and mixed with PAN at the mass ratio of 4:1 with the addition of different amounts of CNT (1–4 wt% of total mass) as illustrated in Figure 1. After that, the mixture was heated in a tube furnace at 300°C with different durations of time (3 h and 40 min) in the argon atmosphere to form the S/DPAN/CNT composite.

FIGURE 1
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Figure 1. A schematic representation illustrating the preparation and injection process of sulfur composites into 3D current collector.

Physical-Chemical Characterization

X-ray diffraction (XRD, Rigaku SmartLab) was used in the structure analysis. The morphology of the samples were analyzed using scanning electron microscopy (FåSEM-EDS Auriga, Crossbeam 540), Raman spectroscopy (HORIBA Scientific, France), and Fourier transform infrared spectroscopy (Nicolet iS10 FT-IR Spectrometer); the sulfur content of composites was analyzed using elemental chemical analysis (CHNS, Vario Micro Cube, Elementar).

Electrochemical Characterization

The electrochemical performance was analyzed using a CR2032 coin type cell configuration assembled in an argon filled glovebox (MasterLab, MBraun). Lithium metal disks were used as an anode, a porous polypropylene membrane (Celgard 2400) served as a separator and the electrolyte consisted of 1 M LiPF6 in ethylene carbonate/dimethyl carbonate/diethylene carbonate (EC:DMC:DEC, in volumetric ratio of 1:1:1 Targray). The area of the electrode was 1.77 cm2. Firstly, two drops of the electrolyte were applied onto the cathode, then the separator was placed onto the surface of the cathode and the electrolyte was dropped again. Cathodes were prepared using the slurry-casting method as illustrated in Figure 1. For that S/DPAN/CNT composite, acetylene black and PVdF were dispersed in N-methyl-2-pyrrolydone (NMP) in the mass ratio of 8:1:1. The prepared slurry was cast as a thin layer on CFP to fill voids using Doctor Blade. The slurry-loaded CFP was cut into two pieces and one was placed on another to obtain a double layered cathode. For a comparison, a thin layer of slurry was cast onto carbon-coated Al foil. Both samples were dried under vacuum at the 60°C for 12 h. The mass loading of sulfur was about 1.0 mg cm–2 in the S/DPAN/CNT cathode on the Al foil current collector and about 3.5–5 mg cm–2 in cathodes on the double layered CFP. The prepared cells were galvanostatically cycled in a voltage range of 1.0–3.0 V vs. Li+/Li using the multichannel battery tester (BT-2000, Arbin Instruments Inc.) and the specific capacity was calculated based on the mass of the sulfur in the electrode. A cyclic voltammogram (CV) was received at a potential range from 1 to 3 V vs. Li+/Li at a scan rate of 0.1 mV s–1 (VMP3 potentiostat/galvanostat, Bio-Logic Instruments). All the electrochemical measurements were carried out at room temperature.

Results and Discussion

Composite cathodes with increased mass loading of sulfur were prepared by simple slurry casting of a S/DPAN/CNT composite on CFP and layering it as shown in Figure 1. The slurry-loaded CFPs were layered in a wet condition to increase the amount of sulfur per the unit of electrode area and were dried in a pressed condition to ensure better contact between layers. The three dimensional structure of the low-weight CFP allowed it to hold a high amount of the S/DPAN/CNT composite, and carbon fibers ensured a high bulk conductivity of the electrode (Suktha et al., 2015). The addition of small amounts of CNT into the composite in the stage of heat treatment improved the electron conduction within the composite spheres.

The morphology of the synthesized S/DPAN/CNT composite was investigated by SEM analysis. Figure 2A shows the S/DPAN/CNT composite with 50 wt% sulfur and 3 wt% CNT content which has spherical S/DPAN particles interconnected with CNT. Additionally, the distribution of S, C, and N elements in the composite was analyzed by the SEM/EDS. Figure 2B shows the mapping of S, C, and N elements in the S/DPAN/CNT composite, which illustrates the homogenous distribution of sulfur within the composite (Figure 2B).

FIGURE 2
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Figure 2. SEM images of S/DPAN/CNT composite. (A) high resolution image of S/DPAN/CNT composite; (B) C, S, N element distributions in S/DPAN/CNT composite.

Figure 3 represents the XRD patterns of the pure components and synthesized composites. It can be seen that CNT shows an intensive peak at about 27°, which can be indexed as the C (002) reflection of the hexagonal graphitic structure, while PAN and sulfur exhibit high crystallinity (16.5° on PAN and sharp peaks between 10° and 60° S, respectively) (Wang et al., 2015). The XRD patterns of the heat-treated S/DPAN/CNT composite exhibits no peak of crystalline PAN, which was dehydrogenated and probably bound with sulfur during the heat treatment (Chung et al., 2016). The sulfur exhibits two different phase forms according to the XRD analysis which are crystalline and amorphous. The sharp peaks of crystalline sulfur with lower intensity (labelled by star) can still be observed in the S/DPAN/CNT composite with a sulfur content of 54 wt%, while they completely disappeared in the case of the S/DPAN/CNT composite with 50 wt% of sulfur. These sharp peaks are related to the excess sulfur which is not bound with the polymer matrix and remains crystalline on its surface (Wang et al., 2015). The detailed structure information about the S/DPAN composite has been explored and described previously in literature (Wang et al., 2015). Thereby, sulfur bound to the dehydrogenated PAN and converted to an amorphous state, which represents embedding into the heterocyclic structure of PAN (Konarov et al., 2014). Also, the sharp peak of CNT is weakened and overlapped with a broad peak of the amorphous S/DPAN. Therefore, in further experiments S/DPAN/CNT with 50 wt% sulfur was used.

FIGURE 3
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Figure 3. XRD results of S/DPAN/CNT composites.

The signals of the C–S and S–S bonds were analyzed by Raman spectra shown in Supplementary Figure S1. The elemental sulfur has strong sharp characteristic peaks according to the reports (Yu et al., 2004), which are very weak in the S/DPAN/CNT composite, and some peaks have completely disappeared. The appeared new peaks at 309, 380, 930, and 1149 cm–1 indicate the presence of chemical bonding between cyclized PAN and elemental sulfur (Yu et al., 2004). In the higher frequency region of the Raman spectra (above 1200 cm–1), two dominant peaks emerged which are related to carbon-based materials after pyrolysis of the polymer. The broad peak centered at 1520 cm–1, often referred as G band, is due to a graphite-like structure, and 1320 cm–1 is due to a disordered structure or D band. The FTIR spectra of the composite was also analyzed to investigate the cyclization of PAN and interaction of sulfur with pyrolyzed PAN (Supplementary Figure S2). The FTIR spectrum of PAN has characteristic peaks of –CN and –CH2 groups at 2244 cm–1 and 1454 cm–1, while in the spectrum of S/DPAN/CNT several new peaks appeared. The peaks at 1485 cm–1 and 1351 cm–1 correspond to –C = C double bond and –CH deformation, respectively and the peaks at 1413 cm–1 and 800 cm–1 attribute to the cyclized structure of polymer (Kalybekkyzy et al., 2019). Moreover, the two new weak peaks detected at 663 cm–1 and 509 cm–1 belong to C–S and S–S stretching vibrations, indicating that sulfur can be chemically bonded with dehydrogenated PAN (DPAN) (Zhang Y.Z. et al., 2014). According to the reports, elemental sulfur is inactive in IR, the vibration at 509 cm–1 can only be caused by the stretching of S–S bonds in the compound-state (Yu et al., 2004). Additionally, the peak at 930 cm–1 corresponds to the ring breathing in which a C-S bond is also included together with the side chain of the S–S ring (Wang et al., 2012; Chen et al., 2019). Therefore, these characteristic peaks verify the structure of C-S and S-S bonds after the dehydrogenation reaction.

The morphology of the S/DPAN/CNT cathodes on Al foil and CFP was analyzed by SEM as shown in Figure 4. The SEM image of the S/DPAN/CNT composite cathode on an Al foil current collector (Figure 4A), indicate that the slurry was homogeneously distributed onto the surface of the current collector, while cracks of 7 μm in width appeared on its surface due to solvent evaporation. In the case of the CFP current collector (Figures 4B,C), the main part of the composite cathode was loaded into the large free space between interconnected carbon fibers. Moreover, the complete filling of the free space between the layers of CFP can be confirmed by the cross-section SEM image (Figure 4D). A SEM image with higher magnification (Figure 4C) shows that hundreds of nanometers in size particles of S/DPAN are bridged with CNTs and the small particles of a conductive agent (AB, 10 wt%). Also, mapping of the elements in the S/DPAN/CNT composite cathode on CFP illustrates the homogenous distribution of S, C, and N elements within the electrode (Supplementary Figure S3).

FIGURE 4
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Figure 4. SEM images of S/DPAN/CNT cathodes. (A) S/DPAN/CNT cathode on Al foil, (B,C) low and high magnification S/DPAN/CNT cathode on CFP current collector, and (D) cross-section view of S/DPAN/CNT cathode on CFP current collector.

Electrochemical performance of the S/DPAN/CNT composite cathode with different amounts of CNT (1–4%) was tested using a carbon coated Al foil current collector (Supplementary Figure S4) with an equal sulfur content (50%) and mass loading of 1.0 mg cm–2. The S/DPAN/CNT composite cathode with 3% CNT showed the highest capacity retention and lower polarization among other composite cathodes. However, increasing the amount of CNT up to 4% shows no improvement in electrochemical performance. Comparative analysis of the EIS data was performed on the electrodes with equal mass loading of sulfur of 1.0 mg cm–2 (Supplementary Figure S5). Increasing the content of CNT led to a smaller charge transfer resistance which could refer to the conductivity improvement due to the addition of highly conductive CNT (Mentbayeva et al., 2016; Li T. et al., 2017). Therefore, the S/DPAN/CNT composite cathode with 3 wt% CNT was used in further experiments.

Figures 5A–E represent galvanostatic charge-discharge and cyclability of Li-S cells with the S/DPAN/CNT with 3 wt% CNT composite cathode on the Al and CFP current collectors. The composite cathode on Al foil with sulfur mass loading of 1 mg cm–2 delivers a high discharge capacity of 1350 mAh g–1 at the 2nd cycle at 0.1C. At the first 30 cycles the cells performed stable capacity retention with a high coulombic efficiency of about 100%. At the same time the cathode on the CFP current collector showed similar specific capacity at the 2nd, 5th, and 15th cycles when the mass loading of sulfur was increased up to 5 mg cm–2. Similar electrochemical results of the composite cathode on CFP compared to the cathode on the Al foil can be explained in terms of the high conductivity of long carbon fibers (Suktha et al., 2015), which ensures the electrode integrity while large voids of CFP provides mechanical support to accommodate volume change, and CNT maintains structural integrity and faster electron conduction at the micro level (Peng et al., 2017b; Qin et al., 2017). The longer cycling performance of the cell with the S/DPAN/CNT composite cathode on the CFP current collector and sulfur mass loading of 4 mg cm–2 is illustrated in Figure 5E. It can be seen that the cell maintained a stable capacity of 1030 mAh g–1 at the 100th cycle.

FIGURE 5
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Figure 5. Potential profiles and cycle performance of S/DPAN/CNT composite cathodes. (A,B) cathodes on Al current collector. (C,D) cathodes on CFP current collector at 0.1C, (E) longer cycling performance of S/DPAN/CNT on CFP current collector (F) CV profiles (0.1 mV s–1) of the cells with S/DPAN/CNT cathode.

Figure 5F illustrates CV curves of the cathode on the CFP current collector. The composite cathode exhibits a large reduction peak at 1.2 V vs. Li+/Li. This peak slightly moves to the higher voltage at the next cycle. A large polarization between the reduction and oxidation peaks during the first cycles could stem from the generation of the solid electrolyte interface (SEI) on the anode surface (Zhang et al., 2013). During the following cycles a large oxidation peak at 2.5 V vs. Li+/Li and two reduction peaks at 1.7 and 1.6 V presented, which can be explained by the formation of long-chain lithium polysulfides and low-order lithium sulfides (Zhang et al., 2013).

Figure 6 represents the rate step-progressive test of batteries with S/DPAN/CNT (3 wt% CNT) composite cathodes on both Al foil and CFP current collectors, where cells were galvanostatically cycled at current densities ranging from 0.1C up to 2C. At the lower current densities of 0.1C, 0.2C, 0.5C, and 1C stable capacities of 1340, 1215, 1160, 1050 mAh g–1, respectively, were achieved, while the 2C capacity of 791 mAh g–1 was obtained for the cathode on the Al foil current collector. Then the initial capacity of 1245 mAh g–1 was regenerated when the current density was lowered back to 0.1C. In comparison, the cathode on the CFP current collector with mass loading of sulfur at 4.0 mg cm–2 showed stable capacities of 1345, 1150, 1010, 650, 570 mAh g–1, respectively. High capacity retention can be observed when the current density was lowered back to 0.1C. Thus, the CFP fibers provide better conductivity and better active material utilization was achieved at high cycling rates.

FIGURE 6
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Figure 6. Rate capability test of cells with S/DPAN/CNT composite cathodes. (A) cathode on Al foil current collector (mass loading 1.0 mg cm–2). (B) Cathode on CFP current collector (mass loading 4.0 mg cm–2).

Increasing the mass loading of sulfur should go along with the addition of conductive agents in order to provide sufficient bulk conductivity. As described above the addition of 3% CNT significantly lowers the charge transfer resistance (Supplementary Figure S5). Consequently, the entrapping of composite cathodes into a 3D structured CFP current collector and the addition of small amounts of CNT to the composite remarkably improves the electron conduction of the cathode, which enables a reasonable C rate performance of the cathode with mass loading as high as 4 mg cm–2.

The post-cycling morphology of the S/DPAN/CNT composite cathode on the CFP current collector after 30 cycles of discharge and charge processes was analyzed using SEM (Supplementary Figure S6). A SEM image with high magnification clearly shows the agglomeration of the particles, which can be explained by the irreversible formation of low order lithium sulfides due to the partial loss of contact between the composite cathode and current collector (Pan et al., 2015). This is one of the reasons of the capacity decay of the cell upon cycling. In general, there are minor changes in surface morphology. Particles are equally distributed between long carbon fibers, which can be explained by the strong adhesion and stability of the composite.

Conclusion

To sum up, a S/DPAN/CNT composite cathode with 1–4% CNT and 50 wt% sulfur content was synthesized by manual mixing of sulfur, PAN, and CNT followed by heating in an argon atmosphere. Composites with 3 wt% CNT showed better electrochemical performance among other composites (1–4 wt% CNT). The results of both Raman and FTIR spectra of the composite showed the interaction of sulfur with PAN (S-C bond) and cyclization of PAN. Fixing sulfur to a pyrolyzed PAN structure can diminish the dissolution of polysulfides, while CNT acts as interwoven network and maintains structural integrity. Injection of S/DPAN/CNT into double layered CFP allowed for obtaining a high mass loading (5.0 mg cm–2) sulfur composite cathode with initial capacity of 1400 mAh g–1. The cells with a mass loading of sulfur of 4 mg cm–2 showed stable capacity retention up to 100 cycles and a stable rate capability, due to improved bulk conductivity of the cathode by carbon fibers and CNT.

Data Availability Statement

All datasets presented in this study are included in the article/Supplementary Material.

Author Contributions

AM: conceptualization, methodology, validation, data curation, writing – original draft, and supervision. NB: writing – original draft, data curation, and writing – review and editing. NS: validation, investigation, and visualization. SK: investigation, recourses, and visualization. IK: investigation and recourses. ZB: writing – review and editing, and funding acquisition.

Funding

This work was supported by the Faculty development competitive research grant #080420FD1906 from Nazarbayev University and by the State Target Program #BR05236524 from the Ministry of Education and Science of the Republic of Kazakhstan.

Conflict of Interest

ZB and IK were employed by the company Institute of Batteries LLC.

The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Acknowledgments

The authors thank the Shared Facility of Nazarbayev University for access to laboratory equipment.

Supplementary Material

The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fenrg.2020.00207/full#supplementary-material

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Keywords: lithium-sulfur battery, composite cathode, 3D current collector, carbon fiber paper, mass loading

Citation: Baikalov N, Serik N, Kalybekkyzy S, Kurmanbayeva I, Bakenov Z and Mentbayeva A (2020) High Mass-Loading Sulfur-Composite Cathode for Lithium-Sulfur Batteries. Front. Energy Res. 8:207. doi: 10.3389/fenrg.2020.00207

Received: 25 May 2020; Accepted: 03 August 2020;
Published: 06 October 2020.

Edited by:

Yan-Bing He, Tsinghua University, China

Reviewed by:

Huiqi Wang, North University of China, China
Guangmin Zhou, Tsinghua University, China
Bin Wang, China Academy of Engineering Physics, China

Copyright © 2020 Baikalov, Serik, Kalybekkyzy, Kurmanbayeva, Bakenov and Mentbayeva. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Almagul Mentbayeva, almagul.mentbayeva@nu.edu.kz

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