CARBON 5 6 ( 2 0 1 3 ) 1 4 6 –1 5 4 Available at www.sciencedirect.com journal homepage: www.elsevier.com/locate/carbon High rate performance activated carbons prepared from ginkgo shells for electrochemical supercapacitors Liang Jiang a,b,c, Jingwang Yan Baolian Yi a,b a b c a,b,* , Lixing Hao a,b , Rong Xue a,b , Gongquan Sun a,b , Dalian Institute of Chemical Physics, Chinese Academy of Sciences, 457 Zhongshan Road, Dalian 116023, China Dalian National Laboratory for Clean Energy, 457 Zhongshan Road, Dalian 116023, China Graduate University of Chinese Academy of Sciences, Beijing 100049, China A R T I C L E I N F O A B S T R A C T Article history: Partially graphitized ginkgo-based activated carbon (GGAC) is fabricated from ginkgo shells Received 1 August 2012 by pyrolysis, KOH activation and heat treatment using cobalt nitrate as graphitization cat- Accepted 29 December 2012 alyst. The graphitization temperature is 900 °C. The GGAC has a microporous structure and Available online 7 January 2013 its specific surface area is 1775 m2 g1. XRD patterns show that the carbon becomes more graphitic after heat treatment. The specific capacitance of the GGAC reaches to 178 F g1 at a potential scan rate of 500 mV s1, which is superior to that of commercial activated carbons and ordered mesoporous carbons. The high electrochemical performance of the GGAC is attributed to its good electronic conductivity and high surface area. Partially graphitized activated carbon is a promising electrode material for electrochemical supercapacitors with high rate performance. Ó 2013 Elsevier Ltd. All rights reserved. 1. Introduction Electric double-layer capacitors (EDLCs), which are also known as electrochemical supercapacitors, are recognized as a new alternative to the present power sources due to their high power density, long cycle life and fast charge capability [1–4]. Research and development of EDLCs has become a global hotspot in recent years. For example, supercapacitors have been considered to be a promising power source for the electric vehicles. EDLCs have been successfully applied in the emergency doors (16 per plane) on Airbus A380 and have been running for several years in Shanghai [4]. Among the researches in EDLCs, it is an important field to develop electrode materials with large specific capacitance and high electrochemical stability [4]. Activated carbons (ACs) satisfy the basic requirements for the electrode materials of EDLCs due to its low cost, high surface area and large porosity [5–9]. Improving the graphitization degree of activated carbons is beneficial to increasing their electrical conductivity, which is vital to the rate capability of supercapacitors [10,11]. Conventional activation methods can lead to high surface areas but without graphitization [12]. High temperature treatment is an effective way to form well-developed graphitic structure, but high energy consumption is unavoidable during the high temperature treatment [11,13]. Besides, high temperature will decrease the surface area and pore volume of activated carbons [14]. Catalytic graphitization by means of transition metals is another effective way to obtain graphitic structure at relatively low temperatures [15–18]. Several researchers have prepared graphitized activated carbons for the electrode materials of supercapacitors. Wang et al. reported a co-gelation route to synthesize porous graphitized carbons by using teraethylorthosilicate (TEOS) as a template, metal nitrates as * Corresponding author at: Dalian Institute of Chemical Physics, Chinese Academy of Sciences, 457 Zhongshan Road, Dalian 116023, China. Fax: +86 411 84379685. E-mail address: [email protected] (J. Yan). 0008-6223/$ - see front matter Ó 2013 Elsevier Ltd. All rights reserved. http://dx.doi.org/10.1016/j.carbon.2012.12.085 700 600 V/cm g 3 -1 500 400 300 200 100 GAC GGAC 0 0.0 0.2 0.4 0.6 0.8 1.0 -1 Relative press/p p0 Fig. 2 – Nitrogen (77 K) adsorption isotherms of the GAC and GGAC. (a) 0.30 GAC GGAC -1 0.25 3 catalyst and furfuryl alcohol (FA) as precursor [19]. Gao et al. synthesized graphitized carbons with an ordered mesoporous structure using ferric oxide as catalyst, which can even achieve a specific capacitance of 155 F g1 at a scan rate of 200 mV s1 [20]. Sevilla et al. obtained graphitized porous carbons by catalytic graphitization of porous carbons with silica xerogel as a template and phenolic resin as carbon precursor. The graphitized carbons exhibited superior electronic conductivities up to two orders larger than non-graphitized carbons [15]. However, such synthetic methods reported are time-consuming and not cost effective due to the utilization of expensive raw materials. The biomass resources for energy storage applications are abundant. Preparation of graphitized activated carbons by using cellulose as raw material is rarely reported. Ginkgo is one of the oldest living fossils on the earth and ginkgo shell-based activated carbons have not been studied as the electrode materials for EDLCs to our knowledge. In this paper, the ginkgo shell was used as the starting material to fabricate partially graphitized ginkgo shell-based activated carbons (GGAC). The GGACs are prepared by pyrolysis and KOH activation, and metal salt catalysts are used to create graphitic domains in activated carbons. Wide-angle XRD analysis demonstrates the degree of graphitization is enhanced markedly. The GGACs are applied in supercapacitors and excellent rate capability is obtained compared to the non-graphitized carbons. 2. 147 5 6 (2 0 1 3) 1 4 6–15 4 Pore Volume/cm g CARBON Experimental 0.20 0.15 0.10 0.05 0.00 partially 0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 Pore Size/nm (b) GAC GGAC -1 0.006 3 The activated carbons were prepared from ginkgo shells. After dried at 60 °C for 24 h, the ginkgo shells were pyrolyzed at 600 °C with a temperature ramp rate of 10 °C min1 and kept for 1 h under nitrogen atmosphere in a tubular furnace. Then the char and KOH (mass ratio 1:2) were thoroughly mixed and heat treated at 700 °C for 1 h in N2. After activation, the carbonized sample was neutralized with HCl (2 mol L1) and rinsed in deionized water for several times until the pH reached to 7. Finally, the sample was dried in an oven at 60 °C for 24 h. The activated carbon was denoted as GAC Pore Volume/cm g 2.1. Preparation and characterization of graphitized ginkgo shell-based activated carbons 0.004 0.002 0.000 0 110 100 90 -2 -1 70 -4 60 -6 50 40 DTG / %⋅min TG/% 80 -8 30 20 0 100 200 300 400 500 600 700 800 5 10 15 20 25 30 Pore Size/nm 0 -10 900 Temperature/°C Fig. 1 – TG and DTG curves of the ginkgo shells. Fig. 3 – Pore size distribution of the GAC and GGAC. Micropore size distribution by HK method (a); mesopore size distribution by BJH method (b). (ginkgo shell-based activated carbon). The GAC was impregnated with a dilute solution of cobalt nitrate (1 wt.%) for 12 h and then heat treated at 900 °C for 2 h with a ramp rate of 10 °C min1 under nitrogen gas flow. Finally, the sample was treated with HCl (2 mol L1) to remove the residual metal impurities and washed with deionized water until the pH reached 7. The final product is referred as GGAC. 148 CARBON 5 6 ( 2 0 1 3 ) 1 4 6 –1 5 4 Table 1 – Structure parameter of the GAC and GGAC. Smic and Sext are micropore and external surface area, respectively. Material BET surface area/m2 g1 Smic/m2 g1 2067 1775 2009 1506 GAC GGAC Sext/m2 g1 58 269 carbon pellet. DC currents of 100, 500 and 1000 mA were applied to the pellet and the terminal voltages were recorded. The resistance of the carbon pellet then was calculated by dividing the recorded voltages by the current density applied. The resistance was measured by applying three different currents in order to increase the experiment accuracy. The electrical conductivity of the carbon powder was calculated using the following formula, d ¼ L=RS Intensity/a.u. (a) GGAC GAC 20 40 60 80 2 Theta/° (b) • where d is the electrical conductivity, R is the resistance of the carbon pellet, L is the thickness of the carbon pellet and S is the cross sectional area of the carbon pellet. The tap density of the sample was determined by the following procedure: carbon powder was filled into a measuring cylinder of 10 ml and tapped for 200 times. Then the tap density was calculated by dividing the mass of the sample by its volume [21]. The surface information was characterized by XPS with an Escalab 250 Xi X-ray photoelectron spectrometer (Thermo Scientific). The content of cobalt in the carbon was determined by inductively coupled plasma spectrometer (ICP-AES) on an IRIS intrepid II XSP instrument (Thermo Electron Corporation). Co Intensity/a.u. 2.2. • (111) • (200) • (220) 85 wt.% Carbons, 10 wt.% acetylene black and 5 wt.% polytetrafluoroethylene (PTFE) were mixed and ground with a mortar and pestle. Then the sample was pressed to form an electrode membrane of 0.15 mm in thickness. Nickel foam was used as current collectors. 2.3. 20 40 60 Fabrication of the electrode Electrochemical characterization 80 2 Theta/° Fig. 4 – XRD patterns of the GAC and GGAC (a); XRD pattern of unwashed GGAC (b). The specific surface area and the porous texture of activated carbons were characterized by nitrogen adsorption at 77 K with a Quantachrome Autosorb-1 system (Quantachrome). The specific surface area was calculated by the conventional BET (Brunauer–Emmet–Teller) method. The pore size distributions of micropores and mesopores were analyzed by HK (Horvath–Kawazoe) method and BJH (Barrett–Joyner–Halenda) method, respectively. Wide-angle XRD patterns were collected on a PANalytical X Pert PRO diffractometer using Cu Ka radiation at 40 mA and 40 kV. Morphologies and surface species of the samples were characterized by a transmission electron microscope (TEM) equipped with an energy dispersive X-ray spectroscope (EDX) (FEI Tecnai G2) at 120 kV. The electrical conductivity of the carbon powders was measured by a direct voltampere method with an electrochemical workstation (PARSTAT 2273, Princeton Applied Research, USA). The sample was put in a hollow plexiglass tube, and a pressure up to 2 MPa was applied to form a dense For the electrochemical characterizations, a three-electrode system was employed in which platinum plate and Ag/AgCl were used as counter and reference electrode, respectively. KOH aqueous solution (6 mol L1) was used as electrolyte. Cyclic voltammetry (CV) tests were performed on an electrochemical workstation (PARSTAT 2273, Princeton Applied Research, USA) in the potential range of 1.0 to 0 V vs. Ag/ AgCl. The sweep rates varied from 2 to 1000 mV s1. The tests of cycling performance of the electrodes were carried out by using a three-electrode system on a CHI 760D electrochemical testing system (CH Instruments, China). The electrochemical impedance spectroscopy (EIS) tests were carried out in a frequency range of 0.01 Hz–100 kHz on an electrochemical workstation (PARSTAT 2273, Princeton Applied Research, USA). 3. Results and discussion Fig. 1 shows the thermogravimetric analysis result of the ginkgo shells. It reveals that the major thermal decomposition takes place at 200–400 °C. The slight weight loss occurs at room temperature to 200 °C is due to the dehydration of the ginkgo shell. The obvious weight loss around 200–400 °C is attributed to the degradation of cellulose and hemicelluloses. Degradation of lignin takes place slowly in a wide CARBON 5 6 (2 0 1 3) 1 4 6–15 4 149 (b) (a) (c) Fig. 5 – (a) TEM image of GAC; (b) and (c) TEM image of GGAC. temperature range and lasts to higher temperatures [22–24]. The global yields of GAC and GGAC are about 24 and 17 wt.% respectively in our experiment. Fig. 2 shows the N2 adsorption–desorption isotherms at 77 K for GAC and GGAC. Both nitrogen isotherms for GAC and GGAC (Fig. 2) exhibit typical characteristics of type I isotherms according to the IUPAC classification, which implies the existence of well-developed micropores. Compared to the nitrogen isotherm of GAC, there is a hysteresis loop at relatively high pressures on the isotherm of GGAC, which may be associated with the capillary condensation of N2 in mesopores. The corresponding pore size distribution (Fig. 3) obtained by HK method in microporous region (<2 nm) and BJH method in mesoporous region (2–50 nm) further illustrates the microporous characteristics of the samples. The diameters of the micropores are distributed from 0.4 to 2 nm in all the samples. The BET surface area and the relevant data about the samples are shown in Table 1. The GGAC has a lower surface area compared with GAC, but the external area to total surface area ratio of GGAC reaches to 15.2% (only 2.8% for GAC). It suggests that the reaction of cobalt oxide with activated carbons gives birth to more mesopores, which facilitates the mass diffusion in the electrodes during the practical applications of supercapacitors [25]. XRD patterns of the samples are shown in Fig. 4. No diffraction peaks are found in the pattern of GAC. However, intense XRD peaks are observed at around 2h = 26°, 42°, 44° and 78° after the graphitization treatment with catalyst, which correspond to the diffraction of (0 0 2), (1 0 0), (1 0 1) and (1 1 0) plane of the graphitic lattice, respectively. It indicates that the graphitic structures are formed during the heat treatment in the presence of cobalt. In order to further investigate the graphitization process, the unwashed GGAC was characterized by XRD and the result is shown in Fig. 4b. Diffraction peaks at around 44°, 51°, 76° corresponds to the diffraction of (1 1 1), (2 0 0) and (2 2 0) plane of the metallic cobalt. This result indicates that the graphitic structures were formed in the presence of metallic cobalt. In general, cobalt oxide is formed firstly due to the decomposition of cobalt nitrate when the impregnated carbonaceous materials are heattreated under inert atmosphere. Then, cobalt oxide is further reduced by carbon to metallic cobalt. The nanoparticles of metallic cobalt or cobalt oxide inside the carbon matrix act as catalysts for the transformation of amorphous carbon to partially graphitized carbon [16]. The graphitic structures around the metallic cobalt were formed through dissolution of amorphous carbon into catalyst particles followed by the precipitation of graphitic carbon. 150 CARBON 5 6 ( 2 0 1 3 ) 1 4 6 –1 5 4 40 (a) 30 Current density/A g Intensity/a.u. -1 (a) C-O C=O O=C-O H2O 20 10 0 -10 -20 5mV/s 10mV/s 20mV/s 50mV/s 100mV/s -30 -40 -50 -1.0 -0.8 -0.6 -0.4 -0.2 0.0 Voltage/V (vs. Ag/AgCl) 544 540 536 532 528 Binding Energy/eV 30 (b) 20 Intensity/a.u. C-OH Current density/A g -1 (b) C=O O=C-O H2O 10 0 -10 5mV/s 10mV/s 20mV/s 50mV/s 100mV/s -20 -30 -1.0 540 536 532 528 Binding Energy/eV Fig. 6 – XPS spectra of the O1s region for the samples (a) GAC and (b) GGAC. Morphologies of the samples were investigated by TEM and the results are shown in Fig. 5. As shown in Fig. 5a, only amorphous carbon structure can be observed in GAC. In contrast, obviously graphitic structure can be observed after the graphitization treatment with Co as catalyst as shown in Fig. 5b. A large number of graphite ribbons in GGAC can be observed, which indicates that the graphitization level is increased compared with GAC. The thickness of graphite ribbons ranges from 5 to 10 nm. The ash content of GGAC was measured by heating the sample at 800 °C in air for 1 h and it was found that the ash content of GGAC is 0.8 wt.%. The ICP was employed to investigate the cobalt content in GGAC. It was found that the cobalt content is 0.07 wt.%. This result suggests that a small amount of cobalt wrapped by carbon could not be removed by HCl. The residual cobalt particles can be observed by TEM as shown in Fig. 5c. Fig. 6 shows the XPS analysis results for GAC and GGAC. The O1s spectra of GAC and GGAC were fitted to four peaks according to the literatures [26,27], which include oxygen in carbonylic groups (531.2–531.6 eV), oxygen in phenolic and lactone groups (532.7–533.0 eV), noncarbonyl oxygen in carboxylic groups (533.8–534.4 eV) and oxygen in H2O (535.5– 536.3 eV). The content of the oxygen in carbonylic groups of GGAC is 35.2% which is higher than 30.9% of GAC. The existence of the extra carbonylic groups can further improve the wettability of the carbon surface and reduce the charge trans- -0.8 -0.6 -0.4 -0.2 0.0 Voltage/V (vs. Ag/AgCl) Fig. 7 – (a) Cyclic voltammograms of the electrodes of GAC at different scan rate in 6 mol L1 KOH aqueous solution; (b) cyclic voltammograms of the electrodes of GGAC at different scan rate in 6 mol L1 KOH aqueous solution. fer resistance, which are beneficial to the improvement of the electrochemical performance of GGAC [28]. The electrical conductivities for the carbon powders are measured under a pressure of 2 MPa. The electrical conductivities of GAC and GGAC are 1.4 and 3.7 S cm1, respectively. These results indicate that the graphitization treatment significantly improve the electrical conductivities of the carbon materials. Due to the formation of the graphitic structures, the tap density of the carbon materials was improved. The tap density of GGAC is 0.49 g cm3, which is higher than that of GAC (0.47 g cm3). Higher tap density of an electrode material is beneficial to increase its loading on the electrodes, thus increasing the power density and energy density of a supercapacitor. Fig. 7a and b illustrate the cyclic voltammograms of GAC and GGAC electrodes at different scan rates from 5 to 100 mV s1. The current densities in CVs are normalized with respect to the mass of the active electrode material. It can be seen that the both electrodes exhibit nearly ideal EDLC behavior with rectangular CV curves at lower potential scan rate. However, at high scan rate the shape of the CV curves for the GAC electrode deviates from an ideal rectangular shape markedly while the CV curves of the GGAC electrode still keep a rectangular shape. It reveals that the GGAC have better ionic accessibility than GAC, which suggests that GGAC is more suitable for quick charge/discharge operations [29]. In order CARBON 6 40 (a) 30 -1 Current density/A g Current density/A g -1 4 2 0 -2 -4 GAC GGAC -6 151 5 6 (2 0 1 3) 1 4 6–15 4 (b) 20 10 0 -10 -20 -30 GAC GGAC -40 -50 -1.0 -0.8 -0.6 -0.4 -0.2 -1.0 0.0 (c) -0.4 -0.2 0.0 40 20 0 -20 -40 -60 GAC GGAC -80 -1.0 (d) 100 Current density/A g-1 -1 Current density/A g -0.6 150 80 60 -0.8 Voltage/V (vs. Ag/AgCl) Voltage/V (vs. Ag/AgCl) -0.8 -0.6 -0.4 -0.2 50 0 -50 -100 GAC GGAC -150 -1.0 0.0 -0.8 -0.6 -0.4 -0.2 0.0 Voltage/V (vs. Ag/AgCl) Voltage/V (vs. Ag/AgCl) Fig. 8 – Cyclic voltammograms for GAC and GGAC electrodes at a scan rate of 10 mV s1 (a); 100 mV s1 (b); 200 mV s1 (c) and 500 mV s1 (d). Table 2 – The relationship of specific capacitances with potential scan rates for GAC and GGAC electrode in 6 mol L1 KOH. Cg at different voltage scan rates (F g1) Electrode GAC GGAC 2 365 237 5 328 224 10 309 215 20 292 208 50 263 197 200 190 191 500 87 178 1000 33 108 100 400 GAC GGAC Kurary 350 300 250 200 150 GAC GGAC Kurary 80 Retention(%) Specific Capacitance/F g -1 100 232 197 60 40 100 20 50 (b) (a) 0 0 0 200 400 600 Scan rate/mV s-1 800 1000 0 200 400 600 Scan rate/mV s 800 1000 -1 Fig. 9 – Specific capacitance as a function of the potential scan rates of GAC, GGAC and Kurary activated carbon (a); capacitance retention ratio as a function of the potential scan rates of GAC, GGAC and Kurary activated carbon (b). 152 CARBON (a) 1.0 350 20 Zim/Ω 0.6 0.4 15 Zim/Ω (b) GAC GGAC 0.8 Specific Capanitance/F g-1 25 5 6 ( 2 0 1 3 ) 1 4 6 –1 5 4 0.2 0.0 0.0 0.2 0.4 0.6 0.8 1.0 Zre/ Ω 10 GAC GGAC 5 300 250 200 150 100 50 0 0 0 5 10 15 20 25 0.01 0.1 1 Zre/ Ω Imaginary Capacitance/F g-1 160 10 100 1000 10000 100000 Frequency/Hz (c) 0.73Hz GAC GGAC 140 120 1.93Hz 100 80 60 40 20 0 0.01 0.1 1 10 100 1000 10000 100000 Frequency/Hz Fig. 10 – Nyquist plot for GAC and GGAC electrodes (a); the inset shows the magnification of the high-frequency region of the impedance spectra. The correlation of specific capacitances with frequency for the GAC and GGAC electrodes (b); the correlation of imaginary parts of the specific capacitances with frequency for the GAC and GGAC electrodes (c). series resistance (ESR), which is beneficial for the rapid charging/discharging operation. The excellent performance of GGAC gives the credit to the graphitization process by improving the electronic conductivity and the relatively high ratio of mesopores favors the charge transfer processes during the rapid charge/discharge operation [29]. The specific capacitance is calculated according to the following equation, Specific Capacitance/F g-1 200 180 160 140 120 100 80 60 C¼ 40 Q 2DVm ð1Þ 20 0 0 1000 2000 3000 4000 5000 Cycles Fig. 11 – The capacitance vs. the cycle number at a scan rate of 100 mV s1. to prove this point of view, CV measurements at higher scan rate from 10 to 500 mV s1 were carried out and the results for GAC and GGAC electrode are compared and shown in Fig. 8. The CV curves of GAC become distorted with increasing the scan rate. At the scan rate of 500 mV s1, the CV curve of GAC electrode becomes spindle-shaped and that of GGAC still possesses the characteristics of capacitive electrodes, i.e. rectangular-shaped. It is concluded that GGAC electrode exhibits an excellent ionic response and a small equivalent where Q is the charge integrated from the whole voltage range, DV is the whole voltage difference, and m is the mass of active material in a single electrode [30]. The specific capacitances at different scan rates are listed in Table 2. The dependence of specific capacitances and capacitance retention ratios on the scan rates are plotted in Fig. 9. The performance of a commercial activated carbon (Kurary) is also shown in Fig. 9 as a reference. The specific capacitance of GAC is 365 F g1 at 2 mV s1, which is quite higher than that of the commercial activation carbons. But GAC exhibits a poor rate performance as most of the activated carbons reported in the literature [31]. The specific capacitance of GAC is also higher than that of GGAC at low scan rate. However, at high scan rate, the capacitance retention ratio of GGAC is higher than that of GAC. GGAC maintains a specific capacitance of 178 F g1 at 500 mV s1, whereas GAC decreases to 87 F g1. CARBON 5 6 (2 0 1 3) 1 4 6–15 4 Furthermore, the specific capacitance of GGAC remains at 108 F g1 at 1000 mV s1 and that of GAC decreases to 33 F g1. The capacitance retention of Kurary carbon is only 12% at 1000 mV s1, which is much lower than that of GGAC (46%). It demonstrates that GGAC is more suitable for high current density application as well. The rate performance of GGAC is close to the HPGC that with excellent rate performance [29]. The EIS analysis is applied to analyze the electrochemical properties of the supercapacitors with GAC and GGAC as electrode materials. A nearly vertical line in the low-frequency region can be observed on the Nyquist plot of the GGAC electrode (Fig. 10a). The existence of a nearly vertical line on a Nyquist plot reflects a good capacitive performance of an electrode material [32]. The plot does not have a semicircle at high frequencies, implying the fast ion diffusion in the GGAC electrode. The gravimetric capacitance C and imaginary part of gravimetric capacitance Cim at different frequencies are calculated according to Eqs. (2) and (3) [33,34]. The detailed results are shown in Fig. 10. 1 C¼ 2pfZim m Cim ¼ 4. 153 Conclusions High rate performance partially graphitized ginkgo shellsbased activated carbons can be prepared by pyrolysis, KOH activation and heat treatment using cobalt nitrate as the catalyst. The porous partially graphitized activated carbons exhibit superior capacitive behavior over a wide range of scan rates and surpass the conventional activated carbons especially at high scan rate. The CV curves of GGAC still maintain rectangular shape at 500 mV s1 with the specific capacitance of 178 F g1. It also shows excellent cycle stability with 92.6% capacity retention for 5000 cycles. The high performance of GGAC ascribes to the improved electronic conductivity and high specific area. Catalytic graphitization is an effective method to prepare partially graphitized activated carbon, a promising electrode material for electrochemical capacitors with high rate performance. Acknowledgements ð2Þ Zre 2pfmðjZre j2 þ jZim j2 Þ ð3Þ where Zre and Zim are the real part and the imaginary part of the impedance, C is the specific capacitance, Cim is the imaginary part of the capacitance, f is the operating frequency, and m is the mass of the active material in the electrodes. It is found that the specific capacitance decreases gradually with the increasing of frequency. The specific capacitance of GGAC approaches the saturation state below 1 Hz and achieves 230 F g1 at 0.01 Hz. The imaginary part of capacitance reaches the maximum at f0, which defines the time constant by s = 1/f0. The time constant is described as a characteristic relaxation time of the whole system (the minimum time to discharge all of the energy from a device with an efficiency of more than 50%) [33]. The relaxation time of GAC and GGAC can be analyzed from Fig. 10c. It is obvious that GGAC electrode exhibits a faster frequency response with f0 = 1.93 Hz (0.52 s), which is much quicker than that of GAC electrode with 0.73 Hz (1.37 s). The rapid frequency response of GGAC ascribes to its superior conductivity and appropriate pore size distribution. Cycle life of a supercapacitor is of great importance to its practical applications. As shown in Fig. 11, the electrochemical supercapacitor with GGAC as electrode materials maintains a stable performance over 5000 cycles at a scan rate of 100 mV s1. 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