Electrochemical and Capacitive Properties of Carbon Dots/Reduced Graphene Oxide Supercapacitors

There is much recent interest in graphene-based composite electrode materials because of their excellent mechanical strengths, high electron mobilities, and large specific surface areas. These materials are good candidates for applications in supercapacitors. In this work, a new graphene-based electrode material for supercapacitors was fabricated by anchoring carbon dots (CDs) on reduced graphene oxide (rGO). The capacitive properties of electrodes in aqueous electrolytes were systematically studied by galvanostatic charge-discharge measurements, cyclic voltammetry, and electrochemical impedance spectroscopy. The capacitance of rGO was improved when an appropriate amount of CDs were added to the material. The CD/rGO electrode exhibited a good reversibility, excellent rate capability, fast charge transfer, and high specific capacitance in 1 M H2SO4. Its capacitance was as high as 211.9 F/g at a current density of 0.5 A/g. This capacitance was 74.3% higher than that of a pristine rGO electrode (121.6 F/g), and the capacitance of the CD/rGO electrode retained 92.8% of its original value after 1000 cycles at a CDs-to-rGO ratio of 5:1.


Introduction
Because of the rapidly increasing demands for energy storage devices in electric vehicles, mobile electronic devices, and memory backup systems, supercapacitors-which have high power densities, fast charge-discharge rates, and long lifetimes [1][2][3]-have been the topic of much research interest.Supercapacitors, or electrochemical capacitors, generally consist of four parts: an electrode, an electrolyte, a collector, and a separator.The electrode material is one of the most important factors influencing a supercapacitor's electrochemical properties.In recent years, graphene, which is composed of two-dimensional layers of sp 2 bonded carbon [4], has been shown to be a promising electrode material because of its unique structure and properties, such as its large specific surface area, high electrical conductivity, and good chemical stability [5][6][7].However, the strong π-π interactions between graphene sheets generated during their synthesis result in the agglomeration of these sheets, reducing the size of the pores that are required for allowing the access of electrolytes [8] and decreasing the specific capacitances of the resulting graphene electrodes.To overcome this problem, graphene is often used in composite materials, such as conducting polymer/graphene composite electrodes (e.g., reduced graphene oxide (rGO)/polypyrrole [9], rGO/polyaniline [10], and graphene/3,4-Ethylenedioxythiophene [11]), graphene/metal oxide composite electrodes (e.g., 33D-graphene/α-MnO 2 nanofibers [12]), and hetero atom-doped graphene composite electrodes [13].
Herein, we report the facile fabrication of CDs/graphene composites via the covalent bond for supercapacitors.The addition of an appropriate amount of CDs significantly enhanced the specific electrochemical capacitance.A composite electrode with a CDs-to-rGO ratio of 5:1 displayed a good reversibility, an excellent rate capability, fast charge transfer, and a specific capacitance of 211.9 F/g, which was 74.3% higher than that of rGO electrode (121.6 F/g).These encouraging results suggest that CDs/rGO supercapacitors have high performances.

Results and Discussion
The CDs were synthesized through a hydrothermal method according to the article published by Zhu et al. [27].Briefly, a solution of citric acid and ethylenediamine with a certain proportion were heated in a Teflon-lined autoclave at 180 • C for 5 h.Then CDs powder was obtained after dialysis and freeze-drying.The CDs were distinguished by the molar fraction of citric acid used in raw materials.For example, 50-CDs means that these CDs were synthesized using a citric acid mole fraction of 50%.The morphologies of the as-prepared 50-CDs were investigated with transmission electron microscopy (TEM).As shown in Figure 1a, the 50-CDs were spherically shaped with the size in the range of 3 nm-5 nm.According to the Fourier transform infrared (FTIR) analysis of 50-CDs (Figure 1b), an N-H bending vibration was observed at 1560 cm −1 for the 50-CDs, indicating that amino functional groups were successfully formed on their surfaces.Meanwhile, the C=O vibrational absorption band at 1725 cm −1 for citric acid was very low in the 50-CDs' spectra.The C-O and -OH stretching vibrations at 1108 cm −1 and 1410-1260 cm −1 , respectively, were also diminished in the 50-CDs.These results indicate that the oxygen-containing groups on the citric acid-modified surfaces were reduced during the hydrothermal process because of condensation and carbonization reactions [27].The Ultraviolet (UV)-visible absorption spectra (Figure 1c) contained a clear absorption band near 350 nm, which was similar to that reported by Zhu et al. [27].Figure 1d shows the photoluminescence (PL) spectra of the 50-CDs at different excitation wavelengths.The PL peaks at 430 nm were red-shifted to ca. 450 nm when the excitation wavelength changed from 285 nm to 385 nm.This result revealed that the 50-CDs prepared here also had an excitation-dependent PL behavior [28], which was contributed to the surface state affecting the band gap of 50-CDs [27].From the TEM, UV-Visible absorption spectra, and PL spectra results, it can be concluded that 50-CDs were synthesized successfully.To fabricate the CDs/GO composite, CDs were added to GO aqueous solution and heated at 90 °C for 3 min.During this process, amino functional groups on the surfaces of the CDs reacted with epoxy groups on GO via a ring-opening reaction [29,30], which resulted in the anchoring of the CDs to the GO sheets via their oxygen-containing functional groups, as shown in Figure 2a.The mass ratio of 50-CDs to GO using synthesis was placed in round brackets at the end of composite.After this reaction, the unreacted amino functional groups on CDs were free to react with other GO sheets, causing precipitation in the aqueous solution (Figure 2b).Subsequently, the CDs/GO composite was reduced via a reduction reaction in hydrogen dielectric barrier discharge (DBD) plasma to produce the CDs/rGO composite, written CDs/rGO (5:1), in order to improve graphene's electrical conductivity [31][32][33].FTIR spectroscopy was used to characterize the reaction and reduction processes, as shown in Figure 2c.According to the FTIR spectra, the C-N stretching vibration was observed at 1230 cm −1 in 50-CDs/GO (5:1) and 50-CDs/rGO (5:1) after the ring-opening reaction, while the stretching vibration of C-O-C at 1070 cm −1 was weakened in 50-CDs/GO (5:1) and 50-CDs/rGO (5:1).These results indicated that the CDs were successfully anchored on the GO.Meanwhile, the C=O stretching vibration at 1739 cm −1 and the O-H bending vibration at 1390 cm −1 were observed in GO and 50-CDs/GO (5:1), but these bands were weaker in 50-CDs/rGO (5:1).A band at 1560 cm −1 and a small band near 1439 cm −1 were observed in the 50-CDs/GO (5:1) spectra, which might have been due to the presence of an amide.These peaks were increased in 50-CDs/GO (5:1), perhaps because of contributions from the antisymmetric stretching vibration of C=C.These results indicated that the oxygen-containing groups on graphene were reduced in the hydrogen plasma.TEM images of GO and 50-CDs/rGO (5:1) are shown in Figure 3. From the TEM image shown in Figure 3a, it can be seen that GO exhibits semitransparent thin sheet with rich wrinkles.In Figure 3b, CDs (red circle) aggregates due to the amino groups and a small number of carboxyl group existing on CD surface, and CDs are mixed up with rGO (Figure 3b), which also indicate that the CDs/rGO (5:1) composite formed.To fabricate the CDs/GO composite, CDs were added to GO aqueous solution and heated at 90 • C for 3 min.During this process, amino functional groups on the surfaces of the CDs reacted with epoxy groups on GO via a ring-opening reaction [29,30], which resulted in the anchoring of the CDs to the GO sheets via their oxygen-containing functional groups, as shown in Figure 2a.The mass ratio of 50-CDs to GO using synthesis was placed in round brackets at the end of composite.After this reaction, the unreacted amino functional groups on CDs were free to react with other GO sheets, causing precipitation in the aqueous solution (Figure 2b).Subsequently, the CDs/GO composite was reduced via a reduction reaction in hydrogen dielectric barrier discharge (DBD) plasma to produce the CDs/rGO composite, written CDs/rGO (5:1), in order to improve graphene's electrical conductivity [31][32][33].FTIR spectroscopy was used to characterize the reaction and reduction processes, as shown in Figure 2c.According to the FTIR spectra, the C-N stretching vibration was observed at 1230 cm −1 in 50-CDs/GO (5:1) and 50-CDs/rGO (5:1) after the ring-opening reaction, while the stretching vibration of C-O-C at 1070 cm −1 was weakened in 50-CDs/GO (5:1) and 50-CDs/rGO (5:1).These results indicated that the CDs were successfully anchored on the GO.Meanwhile, the C=O stretching vibration at 1739 cm −1 and the O-H bending vibration at 1390 cm −1 were observed in GO and 50-CDs/GO (5:1), but these bands were weaker in 50-CDs/rGO (5:1).A band at 1560 cm −1 and a small band near 1439 cm −1 were observed in the 50-CDs/GO (5:1) spectra, which might have been due to the presence of an amide.These peaks were increased in 50-CDs/GO (5:1), perhaps because of contributions from the antisymmetric stretching vibration of C=C.These results indicated that the oxygen-containing groups on graphene were reduced in the hydrogen plasma.TEM images of GO and 50-CDs/rGO (5:1) are shown in Figure 3. From the TEM image shown in Figure 3a, it can be seen that GO exhibits semitransparent thin sheet with rich wrinkles.In Figure 3b, CDs (red circle) aggregates due to the amino groups and a small number of carboxyl group existing on CD surface, and CDs are mixed up with rGO (Figure 3b), which also indicate that the CDs/rGO (5:1) composite formed.The electrolyte is important for determining the characteristics of a supercapacitor.In this work, 1 M H2SO4 and 1 M Na2SO4 were used as electrolytes, and their electrochemical behaviors were evaluated using cyclic voltammetry (CV) and galvanostatic charge-discharge (GCD) measurements.As shown in Figure 4a,b, the CV curves of the 50-CDs/rGO (5:1) electrode in 1 M H2SO4 electrolyte were similar to ideal electrochemical double layer behavior [34], without obvious oxygen and hydrogen evolution peaks.The area under the CV curve produced in 1 M H2SO4 was larger than that produced in 1 M Na2SO4.Assuming that the specific capacitance has a direct relationship with the specific current at a given scan rate, a larger area under the curve indicates that a supercapacitor has a larger specific capacitance [35].As shown in Figure 4c,d, the discharge times of the GCD curves in 1 M H2SO4 were longer than those in 1 M Na2SO4, confirming that H2SO4 is a superior electrolyte and improved the specific capacitance of this supercapacitor.For this reason, the remaining electrochemical tests were performed in 1 M H2SO4.Therefore, 1 M H2SO4 were used as electrolytes in all subsequent experiments.The electrolyte is important for determining the characteristics of a supercapacitor.In this work, 1 M H2SO4 and 1 M Na2SO4 were used as electrolytes, and their electrochemical behaviors were evaluated using cyclic voltammetry (CV) and galvanostatic charge-discharge (GCD) measurements.As shown in Figure 4a,b, the CV curves of the 50-CDs/rGO (5:1) electrode in 1 M H2SO4 electrolyte were similar to ideal electrochemical double layer behavior [34], without obvious oxygen and hydrogen evolution peaks.The area under the CV curve produced in 1 M H2SO4 was larger than that produced in 1 M Na2SO4.Assuming that the specific capacitance has a direct relationship with the specific current at a given scan rate, a larger area under the curve indicates that a supercapacitor has a larger specific capacitance [35].As shown in Figure 4c,d, the discharge times of the GCD curves in 1 M H2SO4 were longer than those in 1 M Na2SO4, confirming that H2SO4 is a superior electrolyte and improved the specific capacitance of this supercapacitor.For this reason, the remaining electrochemical tests were performed in 1 M H2SO4.Therefore, 1 M H2SO4 were used as electrolytes in all subsequent experiments.The electrolyte is important for determining the characteristics of a supercapacitor.In this work, 1 M H 2 SO 4 and 1 M Na 2 SO 4 were used as electrolytes, and their electrochemical behaviors were evaluated using cyclic voltammetry (CV) and galvanostatic charge-discharge (GCD) measurements.As shown in Figure 4a,b, the CV curves of the 50-CDs/rGO (5:1) electrode in 1 M H 2 SO 4 electrolyte were similar to ideal electrochemical double layer behavior [34], without obvious oxygen and hydrogen evolution peaks.The area under the CV curve produced in 1 M H 2 SO 4 was larger than that produced in 1 M Na 2 SO 4 .Assuming that the specific capacitance has a direct relationship with the specific current at a given scan rate, a larger area under the curve indicates that a supercapacitor has a larger specific capacitance [35].As shown in Figure 4c,d, the discharge times of the GCD curves in 1 M H 2 SO 4 were longer than those in 1 M Na 2 SO 4 , confirming that H 2 SO 4 is a superior electrolyte and improved the specific capacitance of this supercapacitor.For this reason, the remaining electrochemical tests were performed in 1 M H 2 SO 4 .Therefore, 1 M H 2 SO 4 were used as electrolytes in all subsequent experiments.Different 50-CDs/rGO composites were prepared by adjusting the mass ratio of 50-CDs to GO during synthesis, and then CV and GCD measurements were performed on them in order to evaluate whether the CDs/rGO composites have higher specific capacitances than rGO.As shown in Figure 5a, the CV curves of all of the 50-CDs/rGO electrodes and the rGO electrode exhibited a relatively ideal rectangular shape, and no obvious redox peaks were observed through the entire scan range, indicating ideal electric double-layer capacitance behaviors [36].The area under the CV curve of each CDs/rGO electrode is larger than that of rGO electrode, especially the 50-CDs/rGO (5:1), in which the mass ratio of CDs to rGO is 5:1, is the largest one.Such results imply that CDs/rGO (5:1) possess the highest specific capacitance.The GCD curves of all of the electrodes at 0.5 A/g are shown in Figure 5b.No apparent potential drop was observed at the onset of GCD measurements, revealing that the electrodes had low internal resistances, and the discharging time of each CDs/rGO electrode is nearly longer than that of rGO, the CDs/rGO (5:1) has the longest discharging time.To compare their specific capacitances quantitatively, the specific capacitances of the rGO and various CDs/rGO electrodes were calculated from the GCD curves at different current densities of 0.5 A/g, 1 A/g and 2 A/g (Supplementary Materials Table S1).The values also indicate that nearly all of the CDs/rGO electrodes had a higher specific capacitance than rGO electrodes.These results suggested that the presence of CDs improved the specific capacitances of rGO, and the CDs/rGO at a 5:1 CDs-to-rGO mass ratio had the highest specific capacitance.More CDs will result in the reduction of specific capacitance, which can be attributed to lower surfaces of CDs than rGO.Different 50-CDs/rGO composites were prepared by adjusting the mass ratio of 50-CDs to GO during synthesis, and then CV and GCD measurements were performed on them in order to evaluate whether the CDs/rGO composites have higher specific capacitances than rGO.As shown in Figure 5a, the CV curves of all of the 50-CDs/rGO electrodes and the rGO electrode exhibited a relatively ideal rectangular shape, and no obvious redox peaks were observed through the entire scan range, indicating ideal electric double-layer capacitance behaviors [36].The area under the CV curve of each CDs/rGO electrode is larger than that of rGO electrode, especially the 50-CDs/rGO (5:1), in which the mass ratio of CDs to rGO is 5:1, is the largest one.Such results imply that CDs/rGO (5:1) possess the highest specific capacitance.The GCD curves of all of the electrodes at 0.5 A/g are shown in Figure 5b.No apparent potential drop was observed at the onset of GCD measurements, revealing that the electrodes had low internal resistances, and the discharging time of each CDs/rGO electrode is nearly longer than that of rGO, the CDs/rGO (5:1) has the longest discharging time.To compare their specific capacitances quantitatively, the specific capacitances of the rGO and various CDs/rGO electrodes were calculated from the GCD curves at different current densities of 0.5 A/g, 1 A/g and 2 A/g (Supplementary Materials Table S1).The values also indicate that nearly all of the CDs/rGO electrodes had a higher specific capacitance than rGO electrodes.These results suggested that the presence of CDs improved the specific capacitances of rGO, and the CDs/rGO at a 5:1 CDs-to-rGO mass ratio had the highest specific capacitance.More CDs will result in the reduction of specific capacitance, which can be attributed to lower surfaces of CDs than rGO.Since tuning the reaction conditions will lead to CDs having different PL properties [27], we synthesized CDs under different citric acid-to-ethylenediamine molar ratio, in order to investigate if the specific capacitance of CDs/rGO composites can be affected.The number before "CDs" denotes the mole fraction of citric acid during synthesis, and the mass ratio of CDs to rGO is 5:1 in this part.Figure 6a shows CV curves of rGO and CDs/rGO electrodes prepared with different CDs.In the figure, the area (S) under the CV curve of each electrode increased in the order S80-CDs/rGO < S60-CDs/rGO < SrGO < S20-CDs/rGO < S40-CDs/rGO < S50-CDs/rGO.Such results demonstrated that the CDs did affect the specific capacitance of CDs/rGO composites, and 50-CDs/rGO possessed the highest specific capacitance.These results were also confirmed by GCD curves (Figure 6b) and their calculated specific capacitances at different current densities (Supplementary Materials Table S1).The results accorded with the order obtained from CV curves.The citric acid acting as the main carbon source of CDs and supporting the reactive site to react with ethylenediamine, the concentration of citric acid used during synthesis plays an important role in tuning the surface properties of CDs.The amino group on the CDs is the main functional group to react with GO.If the amount of amino group is too less, the rGO sheets cannot be separated well, which result in lower specific capacitance at lower concentration of ethylenediamine.If the amount of amino group is too more, one CD particle with many amino groups might be wrapped by one rGO sheet, which lead to the decrease of rGO surface area.Then the specific capacitance decreases.From the results of Figure 6, the specific capacitance is the highest when the molar ratio of citric acid to ethylenediamine is 1:1.Combining the results in Figures 5,6, a conclusion can be drawn that CDs can be used to improve the specific capacitance of rGO with a proper type and a proper fraction.Since tuning the reaction conditions will lead to CDs having different PL properties [27], we synthesized CDs under different citric acid-to-ethylenediamine molar ratio, in order to investigate if the specific capacitance of CDs/rGO composites can be affected.The number before "CDs" denotes the mole fraction of citric acid during synthesis, and the mass ratio of CDs to rGO is 5:1 in this part.Figure 6a shows CV curves of rGO and CDs/rGO electrodes prepared with different CDs.In the figure, the area (S) under the CV curve of each electrode increased in the order S 80-CDs/rGO < S 60-CDs/rGO < S rGO < S 20-CDs/rGO < S 40-CDs/rGO < S 50-CDs/rGO .Such results demonstrated that the CDs did affect the specific capacitance of CDs/rGO composites, and 50-CDs/rGO possessed the highest specific capacitance.These results were also confirmed by GCD curves (Figure 6b) and their calculated specific capacitances at different current densities (Supplementary Materials Table S1).The results accorded with the order obtained from CV curves.The citric acid acting as the main carbon source of CDs and supporting the reactive site to react with ethylenediamine, the concentration of citric acid used during synthesis plays an important role in tuning the surface properties of CDs.The amino group on the CDs is the main functional group to react with GO.If the amount of amino group is too less, the rGO sheets cannot be separated well, which result in lower specific capacitance at lower concentration of ethylenediamine.If the amount of amino group is too more, one CD particle with many amino groups might be wrapped by one rGO sheet, which lead to the decrease of rGO surface area.Then the specific capacitance decreases.From the results of Figure 6, the specific capacitance is the highest when the molar ratio of citric acid to ethylenediamine is 1:1.Combining the results in Figures 5  and 6, a conclusion can be drawn that CDs can be used to improve the specific capacitance of rGO with a proper type and a proper fraction.Since tuning the reaction conditions will lead to CDs having different PL properties [27], we synthesized CDs under different citric acid-to-ethylenediamine molar ratio, in order to investigate if the specific capacitance of CDs/rGO composites can be affected.The number before "CDs" denotes the mole fraction of citric acid during synthesis, and the mass ratio of CDs to rGO is 5:1 in this part.Figure 6a shows CV curves of rGO and CDs/rGO electrodes prepared with different CDs.In the figure, the area (S) under the CV curve of each electrode increased in the order S80-CDs/rGO < S60-CDs/rGO < SrGO < S20-CDs/rGO < S40-CDs/rGO < S50-CDs/rGO.Such results demonstrated that the CDs did affect the specific capacitance of CDs/rGO composites, and 50-CDs/rGO possessed the highest specific capacitance.These results were also confirmed by GCD curves (Figure 6b) and their calculated specific capacitances at different current densities (Supplementary Materials Table S1).The results accorded with the order obtained from CV curves.The citric acid acting as the main carbon source of CDs and supporting the reactive site to react with ethylenediamine, the concentration of citric acid used during synthesis plays an important role in tuning the surface properties of CDs.The amino group on the CDs is the main functional group to react with GO.If the amount of amino group is too less, the rGO sheets cannot be separated well, which result in lower specific capacitance at lower concentration of ethylenediamine.If the amount of amino group is too more, one CD particle with many amino groups might be wrapped by one rGO sheet, which lead to the decrease of rGO surface area.Then the specific capacitance decreases.From the results of Figure 6, the specific capacitance is the highest when the molar ratio of citric acid to ethylenediamine is 1:1.Combining the results in Figures 5,6, a conclusion can be drawn that CDs can be used to improve the specific capacitance of rGO with a proper type and a proper fraction.Then, the electrochemical and capacitive properties of the best composite, 50-CDs/rGO (5:1), were studied in detail.Firstly, the CV curve was measured under different scan rates (Figure 7a).It shows that the CV curve remained quasi-rectangular as the scan rate increased (Figure 7a), demonstrating the excellent reversibility and good capacitive properties of the 50-CDs/rGO (5:1) electrode.Moreover, the response current increased with an increase in scan rate, suggesting an excellent rate capability of 50-CDs/rGO (5:1).As shown in Figure 7b, the GCD curves of the 50-CDs/rGO (5:1) electrode at different current densities were approximately triangle-shaped, suggesting the capacitors had high reversibilities and ideal capacitor behaviors.These features mainly originated from the electric double layer at the electrode/electrolyte interface of the 50-CDs/rGO (5:1) electrode [37].
Then, the electrochemical and capacitive properties of the best composite, 50-CDs/rGO (5:1), were studied in detail.Firstly, the CV curve was measured under different scan rates (Figure 7a).It shows that the CV curve remained quasi-rectangular as the scan rate increased (Figure 7a), demonstrating the excellent reversibility and good capacitive properties of the 50-CDs/rGO (5:1) electrode.Moreover, the response current increased with an increase in scan rate, suggesting an excellent rate capability of 50-CDs/rGO (5:1).As shown in Figure 7b, the GCD curves of the 50-CDs/rGO (5:1) electrode at different current densities were approximately triangle-shaped, suggesting the capacitors had high reversibilities and ideal capacitor behaviors.These features mainly originated from the electric double layer at the electrode/electrolyte interface of the 50-CDs/rGO (5:1) electrode [37].Electrochemical impedance spectroscopy (EIS) was performed to further evaluate the electrochemical performances of the different materials, as shown in Figure 8a.The experimental data were fitted by an equivalent circuit shown in the inset of Figure 8a, where the Rs is the equivalent series resistance, Rct is the charge transfer resistance, Zw is the Warburg impedance, Cl is the electric double capacitance.The impedance spectrum of an ideal electrical double-layer capacitor (EDLC) contains a depressed semicircle in the high-frequency region and straight line in the low-frequency region [38,39].As the Nyquist plot shown in Figure 8a, both the straight lines of 50-CDs/rGO and rGO in the low-frequency region were nearly parallel to the imaginary impedance axis, implying ideal capacitive behaviors.In the high-frequency region, the intersection point of the arc and the real impedance axis is the Rs, which is the sum of the electrolyte solution resistance, the intrinsic resistance of the active material, and the resistance at the electrode/electrolyte interface [40].As shown in a higher resolution view of the high-frequency region (inset to Figure 8a), the Rs values of both electrodes are similar, suggesting that both the rGO and 50-CDs/rGO electrodes had low electrode/electrolyte interfacial resistances [41].In addition, the diameter of the arcs is an indicator of Rct combined with the double-layer capacitance between the active electrode material and the electrolyte [42].The EIS spectra were fitted to the equivalent circuit model shown in the inset to Figure 8a.In the equivalent circuit, the Rct value of the 50-CDs/rGO electrode (0.82 Ω) was much lower than that of the rGO electrode (2.73 Ω).This indicated that the added CDs enabled more rapid charge transfer at the electrode/electrolyte interface [23,43].Figure 8b shows the capacitance retention rate of the 50-CD/rGO electrode at a current density of 1 A/g.The 50-CDs/rGO electrode retained 92.8% of its original capacitance in 1 M H2SO4 after 1000 cycles.The excellent cycle stability of the 50-CDs/rGO electrode implied stable energy-storage processes during long cycle charging/discharging.Electrochemical impedance spectroscopy (EIS) was performed to further evaluate the electrochemical performances of the different materials, as shown in Figure 8a.The experimental data were fitted by an equivalent circuit shown in the inset of Figure 8a, where the R s is the equivalent series resistance, R ct is the charge transfer resistance, Zw is the Warburg impedance, C l is the electric double capacitance.The impedance spectrum of an ideal electrical double-layer capacitor (EDLC) contains a depressed semicircle in the high-frequency region and straight line in the low-frequency region [38,39].As the Nyquist plot shown in Figure 8a, both the straight lines of 50-CDs/rGO and rGO in the low-frequency region were nearly parallel to the imaginary impedance axis, implying ideal capacitive behaviors.In the high-frequency region, the intersection point of the arc and the real impedance axis is the R s , which is the sum of the electrolyte solution resistance, the intrinsic resistance of the active material, and the resistance at the electrode/electrolyte interface [40].As shown in a higher resolution view of the high-frequency region (inset to Figure 8a), the R s values of both electrodes are similar, suggesting that both the rGO and 50-CDs/rGO electrodes had low electrode/electrolyte interfacial resistances [41].In addition, the diameter of the arcs is an indicator of R ct combined with the double-layer capacitance between the active electrode material and the electrolyte [42].The EIS spectra were fitted to the equivalent circuit model shown in the inset to Figure 8a.In the equivalent circuit, the R ct value of the 50-CDs/rGO electrode (0.82 Ω) was much lower than that of the rGO electrode (2.73 Ω).This indicated that the added CDs enabled more rapid charge transfer at the electrode/electrolyte interface [23,43].Figure 8b shows the capacitance retention rate of the 50-CD/rGO electrode at a current density of 1 A/g.The 50-CDs/rGO electrode retained 92.8% of its original capacitance in 1 M H 2 SO 4 after 1000 cycles.The excellent cycle stability of the 50-CDs/rGO electrode implied stable energy-storage processes during long cycle charging/discharging.

Chemicals
Citric acid, ethylenediamine, sulfuric acid and sodium sulfate were purchased from Sinopharm Chemical Reagent Co., Ltd.(Beijing, China).Aqueous solutions of graphene oxide (GO) were purchased from Hengqiu Graphene Technology Co. Ltd. (Suzhou, China).All reagents were used without further purification.

Preparation of CDs
CDs were synthesized through a hydrothermal method [27].Briefly, 0.84 g of citric acid and 1 mL of ethylenediamine solution (1:4 molar ratio of citric acid to ethylenediamine) were added to 20 mL of deionized water.The mixture was stirred, and the resulting suspension was transferred to a Teflon-lined autoclave and heated at 180 °C for 5 h.After being cooled to room temperature, the water-soluble CDs were purified by dialysis for about 24 h using a dialysis tube (1000 Da molecular weight cutoff).Finally, the CDs powder (20-CDs) was obtained by freeze-drying the sample.Four other types of CDs powders were prepared by controlling the amount of citric acid used in the process.These samples are referred to as 40-CDs, 50-CDs, 60-CDs and 80-CDs, in which the mole fraction of citric acid is 40%, 50%, 60% and 80%, respectively.

Fabrication of CD/rGO
A 3 mL GO aqueous solution (2 mg/L) was sonicated for 30 min.50-CDs (6 mg) was then added to this solution, which was subsequently sonicated for 10 min.The mixture was heated in a water bath at 90 °C for about 3 min.Then the mixture was centrifuged, and the supernatant was removed.After being washed with deionized water three times, the mixture was freeze-dried.Then the target

Chemicals
Citric acid, ethylenediamine, sulfuric acid and sodium sulfate were purchased from Sinopharm Chemical Reagent Co., Ltd.(Beijing, China).Aqueous solutions of graphene oxide (GO) were purchased from Hengqiu Graphene Technology Co. Ltd. (Suzhou, China).All reagents were used without further purification.

Preparation of CDs
CDs were synthesized through a hydrothermal method [27].Briefly, 0.84 g of citric acid and 1 mL of ethylenediamine solution (1:4 molar ratio of citric acid to ethylenediamine) were added to 20 mL of deionized water.The mixture was stirred, and the resulting suspension was transferred to a Teflon-lined autoclave and heated at 180 • C for 5 h.After being cooled to room temperature, the water-soluble CDs were purified by dialysis for about 24 h using a dialysis tube (1000 Da molecular weight cutoff).Finally, the CDs powder (20-CDs) was obtained by freeze-drying the sample.Four other types of CDs powders were prepared by controlling the amount of citric acid used in the process.These samples are referred to as 40-CDs, 50-CDs, 60-CDs and 80-CDs, in which the mole fraction of citric acid is 40%, 50%, 60% and 80%, respectively.

Fabrication of CD/rGO
A 3 mL GO aqueous solution (2 mg/L) was sonicated for 30 min.50-CDs (6 mg) was then added to this solution, which was subsequently sonicated for 10 min.The mixture was heated in a water bath at 90 • C for about 3 min.Then the mixture was centrifuged, and the supernatant was removed.

Figure 8 .
Figure 8.(a) Nyquist impedance plot of the rGO and 50-CDs/rGO electrodes.Inset is an expanded view in the region of high frequencies and an equivalent circuit model; (b) the specific capacitance of the 50-CDs/rGO supercapacitor for charging/discharging as a function of cycle number measured at a current density of 1 A/g.

Figure 8 .
Figure 8.(a) Nyquist impedance plot of the rGO and 50-CDs/rGO electrodes.Inset is an expanded view in the region of high frequencies and an equivalent circuit model; (b) the specific capacitance of the 50-CDs/rGO supercapacitor for charging/discharging as a function of cycle number measured at a current density of 1 A/g.