te nanocomposites internally wired with graphene networks for high energy and stable batteries †

It is challenging to design silicon anodes exhibiting stable cycling behavior, high volumetric and specific capacity, and low volume expansion for Li-based batteries. Herein, we designed Si/C-IWGN composites (Si/C composites internally wired with graphene networks). For this purpose, we used simple aqueous sol–gel systems consisting of varying amounts of silicon nanoparticles, resorcinol–formaldehyde, and graphene oxide. We found that a small amount of graphene (1–10 wt%) in Si/C-IWGNs efficiently stabilized their cycling behavior. The enhanced cycling stability of Si/C-IWGNs could be ascribed to the following facts: (1) ideally dispersed graphene networks were formed in the composites, (2) these graphene networks also created enough void spaces for silicon to expand and contract with the electrode thickness increase comparable to that of graphite. Furthermore, properly designed Si/CIWGNs exhibited a high volumetric capacity of 141% greater than that of commercial graphite. Finally, a hybrid sample, Si–Gr, consisting of a high capacity Si/C-IWGN and graphite was prepared to demonstrate a hybrid strategy for a reliable and cost-effective anode with a capacity level required for high-energy Li-ion cells. The Si–Gr hybrid exhibited not only high capacity (800–900 mA h g 1 at 100 mA g ) but also a high electrode volumetric capacity of 161% greater than that of graphite.


Introduction
][3][4] Silicon is an attractive anode material not only for boosting the energy density of current Li-ion batteries but for the replacement of Li metal anodes in the newly emerging battery systems such as Li-air and Li-S.[7][8][9][10][11][12][13] However, it is quite challenging to devise a non-conducting silicon anode having stable cycling behavior at a practical level of electrode loading.In this silicon anode, electrode pulverization is caused by huge volume expansions ($300%). 6,75][16][17][18] Apart from the life cycle issue, volume expansion of the electrode is one of the critical factors considered while designing commercial batteries to avoid cell failure.Nevertheless, it is quite challenging to design high capacity silicon-based composites, whose volume expansion level is more or less similar to that of the latest graphitic carbon anode.In addition, the design and synthetic process should be scalable with low-cost materials for siliconbased composites to become an alternative to graphitic carbon.
Recently, researchers have made remarkable progress in addressing the above issues associated with silicon.0][21][22][23][24][25][26][27] For mitigating the volume expansion problems, Si-based composites have been designed by two representative synthetic approaches.In the rst approach, researchers have introduced an empty space of nanoscale between silicon and the conducting carbon matrix 16,[19][20][21][22] using sacricial templates.The second approach involves the use of porous silicon structures. 23,24,26,28,29Although these pioneering approaches are highly inspiring, they are also associated with different issues: the reduced electrode packing density leads to low volumetric energy density in the battery.Moreover, these approaches involve expensive processes, such as chemical vapor deposition of silicon or carbon, which cannot be transformed into commercially viable strategies.Furthermore, these complicated multi-step approaches involve the use of toxic chemicals for generating porous structures in either silicon or carbon matrix, thereby limiting their commercial use.
0][41][42][43][44] Many other examples of advanced graphene-based composites have also been reported in the literature.For example, a small amount of graphene sheets is extremely effective as conductive llers in polystyrene-graphene composites, because they have the lowest percolation value (0.1 vol%). 41,42urthermore, the graphene-silica composite lm (2-4 wt% of graphene) is a transparent conductor with enhanced conductivity. 39This is because graphene sheets are well-dispersed in these composites.However, for using graphene-based composites for lithium-ion batteries, we need to produce highly condensed composites of micro-sized particle-like materials for these composites to be easily compatible with the process of commercial electrode fabrication at high packing density.Moreover, the synthetic process should be easily scalable.
In this study, we have proposed that a sol-gel process can serve as a facile platform for composite materials of high lithium storage capacity.These composite materials consist of silicon nanoparticles (SiNPs) coated with carbon, a small graphene network interconnecting these nanoparticles to form condensed micro-sized particles, and a large fraction of void spaces between nanoparticles and graphene networks in these composites.Since, Si/C composites are internally wired with graphene networks, they are denoted as Si/C-IWGNs hereaer.The Si/C-IWGN samples were simply prepared by carbonizing the composite gels formed in aqueous mixtures consisting of SiNPs and resorcinol (R)-formaldehyde (F) as the carbon precursor and a small amount of graphene oxide (GO) in onepot reactions as shown in Scheme 1. Various Si/C-IWGN samples were prepared with different contents of SiNPs (40 or 50 wt%) and graphene (1, 5 and 10 wt%).Two types of gelation catalysts (C), Na 2 CO 3 or NH 4 OH, with different concentrations (R/C ratio ¼ 100-500 in molar) were used for forming composite gels.Various electrochemical responses of Si/C-IWGNs, such as cycling stability, volumetric as well as specic capacity, coulombic efficiency, and electrode thickness increase, are thoroughly compared with those of the following reference samples: (1) control composites, Si/C composites, which were prepared without GO addition in the gel formation process in Scheme 1 and (2) commercial graphite.Finally, we have demonstrated a hybrid strategy to develop a reliable and lowcost anode material consisting of mixtures of high capacity Si/C-IWGNs and commercial graphite.

Preparation of Si/C-IWGN and Si/C electrode materials
To prepare Si/C-IWGN samples, GO was prepared by a modied Hummers method 32,45 using commercial akes of graphite provided by Asbury Carbons (230U Grade, High Carbon Natural Graphite 99 + ).Then, GO was diluted and an aqueous dispersion (0.6 wt%) was prepared in deionized (DI) water through ultrasonication.In Table 1, we have summarized the details of the compositions used in the preparation of Si/C-IWGN and reference Si/C composites.
To prepare Si/C-IWGN samples, we dispersed SiNPs (50-100 nm in diameter, KCC Corp. Ltd, Korea) in DI water in a vial through sonication.To this dispersion, we added a specic amount of GO solution.Then, this mixture was again subjected to sonication to obtain a homogeneous dispersion.To the mixture, we added resorcinol (R) and formaldehyde (F), which were used as carbon precursors. 46Finally, a gelation catalyst (C) (Na 2 CO 3 or NH 4 OH) was added to the dispersion and it was stirred vigorously.The resorcinol/catalyst (R/C) molar ratio was varied in the range of 50-500.The mixture was stirred for 1 h at room temperature.Then, it was heated to 80 C in a sealed vial under continuous stirring until the whole mixture formed a gel.The composite gel was further aged overnight at 90 C to facilitate the cross-linking of the gel clusters.The composite gels obtained with the Na 2 CO 3 catalyst were thoroughly washed and ltered thrice with DI water to remove the catalyst.The washing step was not required for composite gels obtained with the NH 4 OH catalyst because NH 4 ions can be completely decomposed by the carbonization process.Subsequently, we carried out three solvent exchanges with isopropanol.Aer ltering, the gel was dried overnight in air at 80 C. The dried composite gels were heated to 850 C in a tube furnace under 100 mL min À1 of Ar ow; the ramp rate was kept at 5 C min À1 .To obtain Si/C-IWGN-1-6 composites, the temperature of the composites was maintained at 850 C for 2 h.The control samples, Si/C-1-3 composites, were prepared by following the same procedure used to prepare Si/C-IWGNs.But GO was not added to the gel solution in this process.

Characterization
(1) Material characterization.X-ray diffraction (XRD) patterns of the samples were recorded on an Ultima IV, Rigaku model D/MAX-50 kV system (Cu-K a radiation, l ¼ 1.5418 Å) and the structures of the samples were investigated using eldemission scanning electron microscopy (FE-SEM, JEOL JSM-35CF operated at 10 kV) and transmission electron microscopy (TEM, JEOL JEM-2010 operated at 200 kV).In order to investigate the microstructure of cross-sections of sample particles by SEM and energy-dispersive X-ray spectroscopy (EDS) elemental mapping, samples were mounted in epoxy resin and cut into thin slices using a diamond cutter.The Si and C contents in the samples were determined by thermal gravimetric analysis (TGA) run to 800 C at a ramp rate of 10 C min À1 under air ow.The contents of graphene sheets (GSs) in the Si/C-IWGN samples given in Table 1 were estimated based on the weight loss of dried GO by TGA run under N 2 ow.X-ray photoelectron spectroscopy (XPS) was conducted to analyze the surface chemical compositions of samples on a Thermo Electron Corporation spectrometer with Al K a (1486.6 eV) radiation.Fourier-transform infrared (FTIR) spectra were collected in the range of 400-4000 cm À1 using a Thermo scientic Nicolet 380 spectrometer (KBr pellets).Raman spectra were obtained using a WITec alpha 300R spectrometer equipped with a 532 nm laser.Sheet resistances and conductivities of coated electrodes were measured by using a four-point probe technique with an electrode separation of 1 mm using a Keithley 2400 sourcemeter.
(2) Electrochemical responses.The electrochemical responses of the samples were tested using CR2032 coin-type cells assembled in an argon-lled glove box with Li foil as the counter electrode.The working electrode was prepared by casting a paste that consisted of the active material (Si/C-IWGN-1-6 or Si/C-1-3 or Si-Gr), conductive additive (Super P Li, Timcal Ltd) and polyvinyl alcohol (PVA) 47 binder (dissolved in anhydrous dimethyl sulfoxide) with a mass ratio of 8 : 1 : 1 onto a copper foil current collector using a Meyer-Bar coating device (Kipae E&T, Korea).A hybrid sample, Si-Gr, was prepared by mixing Si/C-IWGN-6 with commercial graphite with a mass ratio of 4 : 6.The working electrode of commercial graphite was prepared similarly except for the different binder (PVdF).The coated electrodes were roll-pressed under a constant compression ratio (¼target thickness aer pressing/coating thickness of a paste) and then vacuum dried at 80 C for 12 h.The resulting electrode thickness was about 20-40 mm with a total mass loading of 1.5-2.0mg cm À2 (3.43 mg cm À2 for graphite).A Celgard 2400 polypropylene membrane was used as the separator.1.0 M LiPF 6 in ethylene carbonate (EC)/ethyl methyl carbonate (EMC)/diethylcarbonate (DEC) with a volume ratio of 3 : 4 : 3 (PANAX ETEC Co., Ltd, Korea) containing 10 vol% uoroethylene carbonate (FEC) was used as the electrolyte for silicon-containing composites.1.0 M LiPF 6 in an EC/EMC/DEC with a volume ratio of 3 : 4 : 3 was used as the electrolyte for graphite.Electrochemical cycling and rate tests were conducted in a cut-off voltage range of 1.5-0.02V (2.0-0.005V for graphite) vs. Li/Li + and cyclic voltammetry (CV) tests were carried out at a scan rate of 0.1 mV s À1 on a galvanostat/potentiostat system (WonATech Co., Ltd, Korea).The electrode thickness changes were measured by SEM of electrode cross-sections before and aer the cycling test.

Structures of Si/C and Si/C-IWGN composites
In Fig. 1, SEM and TEM images of Si/C-IWGN-3 and Si/C-IWGN-6 are presented.All the Si/C-IWGN samples had the shape of a thick disc, which contained the condensed particles (also see Fig. S1 in the ESI †).At high magnication, the SEM images of particle edges reveal that graphene sheets/stacks and carbon-  In order to comprehensively investigate the microstructure of inside particles, we observed the cross-sections by SEM.In Fig. 2a and b, the cross-section images of Si/C-2 particles are displayed.The spherical Si/C particles are densely packed as there are tiny void spaces between these particles.The SiNPs in Si/C-2 are evenly coated with carbon layers (Fig. 2b).As shown in the SEM image of Si/C-IWGN-3 particles in Fig. 2c, white spots are surrounded by thin layers that are dark-gray in color.Fig. 2d is a highly magnied SEM image of Si/C-IWGN-3 particles.In Fig. 2d, the white spots are Si/C aggregates surrounded and/or covered by thin layers of graphene sheets, which are further elucidated by energy-dispersive X-ray spectroscopy (EDS) mapping of Si and C (Fig. 3).In Fig. 2e, we have presented the SEM image of the cross-section of Si/C-IWGN-6 particles, which   was prepared using NH 4 OH as the gelation catalyst.In this gure, we observe several composite particles having a size of 15 mm.Fig. 2f displays a single particle of this composite material under high magnication.As shown in Fig. 2f, relatively thick graphene stacks are randomly distributed around Si/ C particles, which are characterized by a large fraction of void spaces.The particle density of Si/C-IWGN-3 prepared using Na 2 CO 3 as the gelation catalyst must be greater than that of Si/ C-IWGN-6 prepared with NH 4 OH.Thus, with this novel sol-gel based synthetic strategy, we dispersed graphene sheets to form electrical networks and graphene-induced void spaces in the composites.
In Table 1, we have presented the Si contents determined by TGA of samples (see Fig. 4a and Fig. S4 †).The Si contents have been divided into two different ranges of 35.0-46.0wt% and 50.0-52.2wt%, and the Si content was controlled by the mass ratio of SiNPs/R used in the gelation mixtures.As shown in Fig. 4, the GS contents of samples in Table 1 were calculated by applying the mass loss (i.e., 45 wt% at 150-800 C) of dried GO in TGA to the mass of GO initially present in the gelation mixture.TGA was performed up to a temperature of 800 C under N 2 .The GS contents in the samples were varied by the amount of GO added in the gelation mixture.They were estimated to be in the range of 1-10 wt%.In the XRD patterns of samples (see Fig. S5 †), we observed only crystalline Si diffraction peaks at 2q ¼ 28.6 , 47.5 , and 56.3 corresponding to the (111), (220), and (311) planes, respectively.These diffraction peaks were observed without any graphitic carbon phase at around 2q ¼ 26.4 even when the GS content in the Si/C-IWGN-3 composite was as high as 10 wt%.][34] The structural change associated with the formation of the Si/C-IWGN was further investigated using FTIR and Raman spectroscopy.FTIR spectra in Fig. 4b indicated that various bands of oxygen functional groups present in GO were substantially decreased in intensity in the Si/C-IWGN-2 (gel) and they were not detected in rGO (GO reduced in Ar ow at 850 C for 2 h) and in Si/C-IWGN-2.This suggests that GO was partially reduced during the sol-gel reaction and it was further reduced to graphene aer carbonization at high temperature. 32Raman spectra showed intense peaks at about 1350 and 1590 cm À1 , corresponding to the well-dened D and G bands, respectively (Fig. S6 †).The I D /I G ratio of rGO (1.04) was higher than that of GO (0.99), suggesting that the disordering portion of the twodimensional carbon backbone was increased.The same trend was also observed from the conversion of Si/C-IWGN-2 (gel) to Si/C-IWGN by carbonization due to the partially disordered crystal structure of graphene sheets.
The surface compositions of SiNPs in composites were investigated by XPS, and the Si 2p spectra are presented in Fig. S7.† The parent SiNPs showed a strong Si 2p peak at 99.8 eV, which was associated with bulk Si 0 , while a small peak at 103.4 eV was attributed to a thin native SiO x layer. 47In the Si/C-IWGN samples, the peak intensity at 99.8 eV, which was associated with Si 0 , substantially decreased.On the other hand, there was an increase in the intensity at 104.0 eV, which is associated with SiO x .This is because during the sol-gel reaction, the surface of SiNPs is partially oxidized to SiO x (mainly SiO 2 ) under slightly alkaline conditions.The relative intensity of the SiO x peak to the Si 0 peak is more prominent in samples prepared at a higher R/C ratio.Thus the surface oxide layer on Si/C-IWGN-3, which was prepared at an R/C molar ratio of 50 using Na 2 CO 3 as the gelation catalyst, was thicker than that on Si/C-IWGN-4 and Si/C-IWGN-5, which were prepared with NH 4 OH as the gelation catalyst at an R/C molar ratio of 100 and 500, respectively.

Electrochemical responses of Si/C and Si/C-IWGN composites
In Fig. 5, we have compared the galvanostatic charge/discharge voltage proles of Si/C and Si/C-IWGN samples for the rst cycle.In all the composites, the voltage slopes between 1.5 and 0.2 V appeared at the rst discharge.These voltage slopes were attributed to the formation of an irreversible solid-electrolyte interface (SEI) lm and the decomposition of the surface oxide layer (SiO x ). 47,48This was followed by the appearance of long voltage plateaus between 0.2 and 0.02 V, which was attributed to the alloying reaction between Li + and Si. 6 At the rst charge, the de-alloying reaction appeared at a sloping voltage plateau of 0.2 to 0.6 V.At a current of 100 mA g À1 , the reference samples, Si/C-1, Si/C-2, and Si/C-3, showed the rst discharge/charge  As seen in Fig. 5d, the composites, Si/C-1 and Si/C-IWGN-1-3, which were prepared with the Na 2 CO 3 catalyst at an R/C ratio of 50, exhibited relatively low CEs in the range of 56.6-63.3% in the rst cycle.On the other hand, Si/C-2, Si/C-3, and Si/C-IWGN-5, which were prepared using the NH 4 OH catalyst at an R/C ratio of 500, showed CEs in a higher range of 72.2-81.8%.Si/C-IWGN-4 and Si/C-IWGN-6, which were prepared using the NH 4 OH catalyst at an R/C ratio of 100, exhibited CEs in an intermediate range of 66.1-73.2%.Fig. 5d represents the plot of CEs against R/C molar ratio.From this plot, we deduce that a larger R/C ratio can be used to gain higher CEs in the rst cycle provided the gelation rate is not affected signicantly.Under hydrothermal conditions, the surface of SiNPs in the composites is oxidized 38 to SiO x as the level of oxidation is dependent on the R/C ratio, as evinced in the Si 2p XPS spectra shown in Fig. S7.† The formation of the SEI layer is known to cause irreversible capacity loss in the rst cycle.In addition, the surface oxide layer is subjected to irreversible lithiation reactions, 47,48 which are also responsible for irreversible capacity loss to some extent in the rst cycle.
Fig. 6a and b display the cycling performances (in terms of discharge, i.e., lithiation, capacities) and CEs, respectively, of the reference Si/C samples.The samples were exposed initially to either three or ve cycles at a current of 100 mA g À1 .Thereaer, they were subjected to 100 cycles at a current of 500 mA g À1 .The Si/C-3 (Si content ¼ 52.2 wt%) exhibited the rst charge/discharge capacities of 1725/1411 mA h g À1 at an applied current of 100 mA g À1 .At an applied current of 500 mA g À1 , we observed that the capacity of the composite was in the range of 1100-1150 mA h g À1 until the completion of 30 cycles.However, the capacity of the composite started fading rapidly aer the 30 th cycle.The Si/C-2 (Si content ¼ 46.3 wt%) composite exhibited the rst charge/discharge capacities of 1567/1131 mA h g À1 at a of 100 mA g À1 .By further cycling of Si/C-2 at a current of 500 mA g À1 , a stable cycling performance was achieved at a reversible capacity of 825-840 mA h g À1 for up to 45 cycles.But the capacity of Si/C-2 also faded to 332 mA h g À1 aer 100 cycles.The cycling behavior of Si/C-1 was similar to those of Si/C-2 and Si/C-3.However, compared with Si/C-2, Si/C-1 (Si content ¼ 45.7 wt%), whose Si content was similar to that of Si/C-2, showed much lower reversible capacity (875 mA h g À1 at 100 mA g À1 ) and much lower CE (63.3%) in the rst cycle.This was because the SiNPs in Si/C-1 (R/C ratio ¼ 50 with C ¼ Na 2 CO 3 ) underwent more severe surface oxidation than those in Si/C-2 (R/C ratio ¼ 500 with C ¼ NH 4 OH).
As shown in Fig. 6b and its inset, at a current of 500 mA g À1 , the CEs of Si/C samples decreased from the cycle in which their capacity started fading.This indicates that abrupt irreversible events, such as electrochemical and structural changes occurred in Si/C electrodes.To support this, electrode thickness changes were measured by SEM on the Si/C-2 and Si/C-3 electrodes in their pristine, rst-lithiated, and rst-delithiated forms.As shown in Fig. 7, aer the rst lithiation, the thickness of Si/C-2 and Si/C-3 electrodes increased by 110% and 117%, respectively, while aer the rst delithiation, the thickness of these electrodes increased by 74 and 70%, respectively, over the pristine one.The sharp increase in the thickness of Si/C-2 and Si/C-3 electrodes with the progression of cycles was ascribed to the cause of capacity fading, as they underwent electrode pulverization, leading to the loss of electrical contacts between active materials as well as between active materials and current collector.In summary, the Si/C samples in which SiNPs are quite evenly coated with carbon layers (see Fig. S1-S3 †) still suffer from capacity fading, which is accompanied by a sharp increase in electrode thickness.Hence, it is certain that a simple carbon coating, which is mostly done to enhance the electrical conductivity of silicon, is not enough to achieve long-term cycling stability of silicon-based composites.
Fig. 8a and b show the cycling performances and CEs of Si/C-IWGN-1-3 series samples, respectively.The samples were exposed to the initial three cycles at an applied current of 100 mA g À1 .Then, they were cycled to additional 100 cycles at 500 mA g À1 .The reversible discharge capacities in the second cycle of Si/C-IWGN-1, Si/C-IWGN-2, and Si/C-IWGN-3 were, 738, 879, and 994 mA h g À1 , respectively.On further cycling at 500 mA g À1 , the corresponding discharge capacities were stabilized in the tenth cycle at 470, 667 and 749 mA h g À1 .At the end of the 100 th cycle at 500 mA g À1 , the composites showed capacity retentions of 90.2, 84.6 and 85.2%, respectively.As seen in Fig. 6, the reference sample, Si/C-1, showed the corresponding capacity retention of only 32.1%.At 500 mA g À1 , the CEs of Si/C-IWGN-1-3 increased from 98.1-98.8% in the 10 th cycle to above 99% in the 100 th cycle as shown in Fig. 8b and its inset.Thus, the Si/C-IWGN-1-3 composites with graphene networks showed much better cycling stability than Si/C-1.Since the series samples of Si/C-1 and Si/C-IWGN-1-3 were prepared under identical conditions using the same amount of Si contents, the enhanced cycling stabilities of Si/C-IWGN-1-3 could be ascribed to the presence of graphene networks in those composites.For the series of Si/C-1 and Si/C-IWGN-1-3, the sheet resistances and conductivities of pristine electrodes are presented in Table S1 and Fig. S8.† The sheet resistance increased with increasing graphene content in the samples.The sheet resistances of Si/C-IWGN-2 and Si/C-IWGN-3, whose graphene contents were 5 and 10 wt%, respectively, were signicantly higher than those of other samples.Therefore, the conductivities of Si/C-IWGN-2 and Si/C-IWGN-3 were less than about two fold when compared with those of Si/C-1 and Si/C-IWGN-1 composites, whose graphene contents were 0 and 1 wt%, respectively.Since the same electrode formulations were applied to the entire series of samples, the difference in electrode resistance can be attributed to the difference in active material properties.These results are more or less expected when one peruses through the apparent electrode densities in Fig. 1-3 (TEM images and SEM images of the cross-section of a particle).Owing to the presence of graphene in composites, a large fraction of void spaces are observed between Si/C particles and graphene sheets as seen in the TEM images in Fig. 1.As shown in Fig. 2 and 3, the void spaces are more clearly visible in the SEM images of particle cross-sections.On the other hand, Si/C particles are more densely packed in Si/C-1 (Fig. 2a).Furthermore, although the aggregates of small sized Si/C are distributed over the bulk particles, they are connected by graphene sheets in the micrometer-sized particles of Si/C-IWGN-3 (Fig. 2 and 3).Hence, when compared with Si/C-1, the presence of graphene networks in the Si/C-IWGN decreases particle density and electrical conductivity.However, under the circumstances of huge volume expansions of silicon through repeated cycling, the void spaces in Si/C-IWGNs accommodate volume variations, and graphene networks maintain electrical networks in composites.To support this hypothesis, we measured the changes in the thickness of Si/C-1 and Si/C-IWGN-2 electrodes before and aer cycling.As shown in Fig. S9, † the thickness of Si/C-1 increased by 62.2-77.5% over the pristine sample, while that of Si/C-IWGN-2 increased by only 21% aer being subjected to 100 cycles at 500 mA g À1 .It is interesting to note that the increase in the thicknesses of cycled Si/C-1 and Si/C-IWGN-2 is comparable to those of rst-delithiated Si/C-2 and Si/C-IWGN-3 (see Fig. 10 below), respectively.Therefore, the graphene networks present in Si/C-IWGN-1-3 were found to be quite effective in enhancing the cycling stability of silicon-based composites.
In Si/C-IWGN-1, a small amount of graphene as low as 1 wt% was sufficient to effectively stabilize the cycling performance (Fig. 8a).Therefore, Si/C-IWGN-4-6 composites were prepared to contain about 1 wt% of graphene but different amounts of silicon with NH 4 OH as the gelation catalyst (see Table 1) at two different R/C ratios.Fig. 9a and b show the cycling performances and CEs of the Si/C-IWGN-4-6 samples, respectively.At a current of 100 mA g À1 , the composites, Si/C-IWGN-4, Si/C-IWGN-5, and Si/C-IWGN-6 exhibited reversible discharge capacities in the range of 1530-1560, 1330-1360, and 870-896 mA h g À1 , respectively.On further cycling at 500 mA g À1 , Si/C-IWGN-4, Si/C-IWGN-5, and Si/C-IWGN-6 showed stabilized discharge capacities of 656, 784, and 855 mA h g À1 , respectively, at the 15 th cycle; the capacity retentions of Si/C-IWGN-4, Si/C-IWGN-5, and Si/C-IWGN-6 were 84.8, 87.0, and 83.4%, respectively, at the 100 th cycle.On the other hand, the corresponding capacity retentions of reference Si/C-2 and Si/C-3 were only 47.5 and 41.3%, respectively (Fig. 6).The CEs of Si/C-IWGN-4-6 increased to approach 99.2-99.4% at the end of the cycle.However, when the current density was increased from 100 to 500 mA g À1 , Si/C-IWGN-5 and Si/C-IWGN-6 showed a steep drop in capacity compared to other Si/C-IWGN samples.This drop in capacity at high current could be attributed to low electrode conductivities due to low material densities, which are apparent in Fig. 2. In general, an active material of higher density has to be used to obtain electrodes with higher volumetric capacity. 491][52] Hence, the material density has to be optimized to achieve the cycling stability and high volumetric capacity at the same time.As shown in Fig. 10, the electrode thicknesses increased by 18 and 5% over that of the pristine sample, aer the rst lithiation and de-lithiation of Si/C-IWGN-4, respectively.The corresponding increases in the thickness of Si/C-IWGN-6, which has higher silicon content than Si/C-IWGN-4, were 23 and 9%, respectively.The changes in the electrode thickness of Si/C-IWGN-4 and Si/C-IWGN-6 are either comparable to or lower than those (25 and 8%, respectively) obtained from a commercial graphite (Fig. 10b and  S10 †).This indicates that we were able to restrict the increase in the electrode thickness of Si/C-IWGNs to a level that is comparable to that obtained from commercial graphite because of the void spaces rendered by graphene networks in the composites.However, the electrode resistance has to be further optimized to reduce capacity drop at high currents.

Volumetric capacities of Si/C-IWGN composites and graphite
For alloys such as silicon characterized by a large volume expansion, it is desirable to evaluate their corresponding volumetric capacity and compare it with that of graphite. 49As shown in Fig. 11, we have calculated the volumetric capacities of few Si/C-IWGN composites and compared them with that of commercial graphite.For this purpose, the capacities were calculated based on the total amount (weight or volume) of the coated material, which included the active material, the binder, and the conductive additive (see Table S2 †).At a current of 100 mA g À1 , the specic capacities of Si/C-IWGN-3 and Si/C-IWGN-6 were 2.7-4.2 times higher than that of graphite.The volumetric capacities of Si/C-IWGN-3 and Si/C-IWGN-6 were 484 and 682 mA h cm À3 , respectively.Thus, these values were either comparable to or 1.4 times higher than that of graphite (483 mA h cm À3 ), respectively.The volumetric capacity of graphite was found to be lower than the theoretically estimated value of 818 mA h cm À3 (¼372 mA h g À1 Â 2.2 g cm À3 ). 49,53This is because the total electrode volume included the active material, binder and conductive additive.In summary, we have achieved the remarkable feat of designing Si/C-IWGNs, whose specic capacity is greater than graphite by a factor of up to 2-4.This novel composite possesses excellent cycling stability, and its volumetric capacity is also much higher than that of graphite.

Electrochemical responses of a hybrid, Si-Gr sample
Presently, the commercially available cathode material has a low capacity of about 200 mA h g À1 , [54][55][56] which could be possibly increased to 250-300 mA h g À1 in the near future. 2Therefore, to practically improve the cell energy of LIBs, we need to develop an anode having a capacity of around $1000 mA h g À1 . 7For this purpose, we need to ideally develop novel silicon-based composites.In particular, a hybrid material consisting of high capacity Si-anodes and commercial graphite could be a practical solution for a reliable and cost-effective anode.Therefore, we prepared the Si-Gr hybrid, consisting of Si/C-IWGN-6 (reversible capacity of 1550 mA h g À1 at 100 mA g À1 ) and graphite with a weight ratio of 4 : 6.Then, we evaluated the electrochemical response of this novel hybrid.The expected reversible capacity of the Si-Gr was estimated to be 843 mA h g À1 (¼1550 mA h g À1 Â 0.4 + 372 mA h g À1 Â 0.6).Fig. 12a and b display the cycling performances and CEs of Si-Gr and graphite, respectively.The rst charge and discharge capacities of the Si-Gr hybrid were 1025 and 820 mA h g À1 , respectively, at the rst CE of 80.0%.At the currents of 100 and 200 mA g À1 , the reversible discharge capacities of this hybrid were about 898 and 830 mA h g À1 , respectively.Furthermore, at 200 mA h g À1 , the capacity retention of this hybrid was 89.1% for 100 cycles.Thus, the capacity retention of this hybrid was close to that of graphite (91.7%).The CE of Si-Gr increased to 96.6% in the second cycle and to 99.7% in the 105 th cycle, thereby approaching the CE of graphite.Based on the electrode volume, the volumetric capacity of Si-Gr was 777 mA h cm À3 (Fig. 11), which is 161% higher than the volumetric capacity obtained from graphite (483 mA h cm À3 ).It is even higher than that of Si/C-IWGN-6 (682 mA h cm À3 ) since the coating density of Si-Gr (1.09 g cm À3 ) is greater than that of Si/C-IWGN-6 (0.55 g cm À3 ) (Table S2 †).Thus, with this hybridization strategy demonstrated here, we have achieved the performance improvements in volumetric capacity (682 mA h cm À3 for Si/C-IWGN-6 / 777 mA h cm À3 for Si-Gr) and CE in the rst cycle (73% for Si/C-IWGN-6 / 80% for Si/Gr).Furthermore, this novel hybrid could be a cost-effective material in comparison with the Si-based composite.
Fig. 13a compares the rst and h CV proles of Si/C-IWGN-6, graphite and Si-Gr.The CV prole of Si-Gr seems to be a weight-averaged superposition of the proles of Si/C-IWGN-6 and graphite.As shown in Fig. 13b, the voltage prole of Si-Gr also reects the characteristics of those obtained from Si/C-IWGN-6 (Fig. 5) and graphite (Fig. S11 †).As shown in Fig. 13c, the rate responses of Si/C-IWGN-6, Si-Gr and graphite were obtained by varying the discharge currents in the range of 100-2000 mA g À1 at a xed charge at 100 mA g À1 .In the C-rate range of 1.1-1.4h À1 , Si/C-IWGN-6, Si-Gr and graphite delivered 624, 398 and 78 mA h g À1 .The corresponding capacity retentions were 44.2, 48.2 and 21.0% of their capacities obtained at 100 mA g À1 , respectively.This indicates that the alloying/ de-alloying kinetics of silicon are faster than the intercalation/ de-intercalation of graphite.

Conclusions
In summary, we devised a simple one-pot aqueous sol-gel system to prepare Si/C-IWGN, a novel composite material in which graphene networks were highly dispersed throughout Si/C composites; this novel composite was used for high performance LIB anodes.The Si/C-IWGN composites exhibited greater cycling stability compared to reference Si/C samples, which consisted of SiNPs that were simply coated with carbon.The characterization and electrochemical responses of this  novel composite suggest that graphene networks in Si/C-IWGNs not only provide electrical networks but also generate void spaces, which are very effective in absorbing large volume expansions of Si to the level comparable to that of commercial graphite.Thereby, graphene networks effectively tackled the issue of common electrode pulverization and ensured the cycling stability of Si-based anodes.Compared to commercial graphite, a properly designed Si/C-IWGN composite material exhibited about $420% increase in specic capacity and about $141% increase in volumetric capacity, which was determined on the basis of electrode weight or volume.We devised a reliable and cost-effective hybrid anode using a mixture of Si/C-IWGN and commercial graphite.Si-Gr is a hybrid that offers the capacity level (800-1000 mA h g À1 ) required to improve the energy density of current LIB cells.Moreover, the volumetric capacity of the Si-Gr electrode is 161% higher than that obtained from commercial graphite.The Si-Gr hybrid also has excellent cycling stability.We conclude that the preparation of Si/C-IWGNs is a scalable process.Moreover, owing to the remarkable electrochemical responses of Si/C-IWGNs, it could be used in manufacturing energy storage devices of high energy density and long cycle life.

coated
SiNPs are aligned and densely packed in an alternating fashion.On the other hand, the SEM images of Si/C composites without graphene networks show spherical carbon-coated silicon particulates (Fig.S2 †).TEM images of SiNPs, Si/C-1 and Si/C-IWGN samples are also shown in Fig.1and Fig.S1.† SiNPs, having diameters in the range of 50-100 nm (Fig.S1e †), are evenly coated with carbon in Si/C composites (Fig.S1f and S3 †).As seen in the TEM images of Si/C-IWGN samples, spherical Si/C particles are distributed in between graphene sheets.Furthermore, a large fraction of void spaces are not only present between Si/C particles but they are also present between Si/C particles and graphene sheets.However, most of these Si/C particles are in intimate contact with graphene electrical wires in Si/C particles.These structural features of the Si/C-IWGN are highly conducive in achieving cycling stability, despite the huge volume changes in silicon-based composites.

Fig. 3
Fig. 3 SEM images of (a and d) Si/C-IWGN-3 and EDS mapping of image (a) for (b) silicon and (c) carbon.

Fig. 4
Fig. 4 (a) TGA profiles of Si/C-IWGN samples (run in air flow) and GO (run in N 2 flow) and (b) FTIR spectra of samples.

Fig. 7
Fig. 7 SEM images of electrode cross-sections of (a) Si/C-2 and (b) Si/C-3 for their pristine and after the first lithiation and delithiation.

Table 1
Gel compositions and gelation catalysts used for the preparation of Si/C-IWGN and Si/C samples, and composite contents