Author Correction: Electrochemical Performance of Supercapacitor with Stacked Copper Foils Coated with Graphene Nanoplatelets

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the environment and humans 20 . To date, no supercapacitors with stacked cells using an aqueous electrolyte have been investigated.
In this work, a supercapacitor was assembled using five copper foils coated on each side with GNPs and separated by microporous papers immersed in 2 M aqueous sodium sulphate. This paper highlights the electrochemical performance of a supercapacitor with multiple cells for plausible real applications by comparing it to a commercially available supercapacitor.

Results and Discussion
The XRD pattern of the GNPs in Fig. 1a shows a prominent peak at 25.6°, indicative of an interlayer spacing of ~3.4 Å between the (002) graphitic crystal planes in GNPs 11 . The small peak at 42.2° was assigned to the (100) plane of the GNPs. Figure 1b shows a high magnification FESEM image, where the GNPs interact with each other and form aggregates. Compared to porous materials with a high surface area, the surface area of GNPs does not depend on the distribution of the pore size. Hence, even in the presence of aggregates, GNPs, which are compliant with high aspect ratio platelets, can physically "move" to improve the accessibility of their surfaces to electrolytes 21,22 . Figure 1c displays corrugated sheets of GNPs, which is the intrinsic nature of GNPs. These make it possible for 2D nanostructures to be thermodynamically stable during a bending or twisting process 23,24 .
A Brunauer-Emmett-Teller (BET) analysis (Fig. 2) has been conducted to determine the surface area and pore size distribution of GNP. In contrast to a single layer of graphene, GNP is a particle consisting of multiple layers of graphene. The surface area measurement of the GNPs via nitrogen gas absorption yielded a BET value of 591 m 2 /g. This value is 213 times higher compared to graphitic powder (2.78 m 2 /g) 6, indicating that graphite was significantly exfoliated into few graphitic layers (2630/591 ≈ 4) by thermal exfoliation. The adsorption isotherm of GNPs is type IV, which is typically associated with mesopores (50 nm > mesopores > 2 nm). From the BET measurement, the average pore width of GNPs is 62.5 Å, where this pore size allows the easy movement of the Na + (1.02 Å) and SO 4 2− (2.58 Å) electrolyte back and forth on the electrode surface, hence contributing to the capacitance of the supercapacitor. Figure 3a presents the CV curves of the stacked device at a high scan rate of 100 mV s −1 in a potential window of 0−0.80 V. A typical pseudorectangular shape is observed, demonstrating the well maintained electrochemical double layer behavior in the stacked configuration. Moreover, the area under the curve of the stacked device is remarkably higher than that of a supercapacitor assembled with only two copper foils coated with GNPs, which is called a single device. This demonstrated that the stacked device contained more electroactive species, and thus provided an extra charge for the storage mechanism. Consistently, as shown in Fig. 3b, the energy density calculated from the GCD curves of the stacked device increased in magnitude fourfold to 24.64 Wh kg −1 compared to the 6.28 Wh kg −1 achieved by a single device. This value complements the fourfold discharge time of the stacked device, indicating that a fourfold amount of capacitance was stored. To demonstrate the remarkable durability of a stacked device over a wide range of scan rates and current densities, additional CV and GCD curves at various scan rates and current densities are shown in Figure S1. More importantly, even though there was an increase in the contact layer between the electrode materials and separators, the stacked supercapacitor presented linear and symmetrical GCD profiles with a negligible IR drop. This implied the low resistivity of the GNP electrodes to mass transfer and also the excellent charge propagation of ions at the interfaces between the electrolyte and GNPs, which were contributed by the unique morphology of the agglomerated GNPs 25,26 .
To further understand the resistivity encountered by the stacked device during ionic transport at the electrode and electrolyte interface, electrochemical impedance spectroscopy (EIS) was conducted. As shown in the Nyquist plot depicted in Fig. 3c, a typical curve is observed, whereby a semicircle formed at the high-frequency region, followed by a steep straight line in the low-frequency region. This has been demonstrated to be an ideal circuit with a single time constant and fast ion diffusion rate 27 . At the same time, the equivalent series resistance (ESR) value, which considered the contact resistance between the electrode and electrolyte, could be obtained at the first intercepting point at the x-axis. The ESR value of the stacked device remained low at approximately 0.50 Ω (vs. 0.4 Ω for a single device), suggesting that with an appropriate and tightened configuration design, the resistivity of a stacked device would be insignificant. The low ESR value was in agreement with the ideal charge-discharge curve shown in Fig. 3b. On the other hand, the diameter of the semicircle in the inset of Fig. 3c represents the interfacial charge-transfer resistance (Rct) at the electrode and electrolyte interface. The stacked device recorded an Rct value of 0.03 Ω, which was similar to that of the single device, indicating a low charge transfer resistance despite the increased number of cells. The low Rct value was mainly related to the distinctive characteristics of GNPs, where the ions in the electrolyte could easily migrate throughout the interstices of the agglomerated GNP network and access the large internal surface area of the GNPs, which facilitated the rapid charge transportation and stabilization of the overall system 21 . Therefore, the ideal capacitive behavior of the GNPs was inherent in the stacked device, simplifying the scaling up process for real applications. Moreover, the intimate integration of electrode materials with the copper foil substrate and the high mobility of the aqueous electrolyte in direct contact with the electrode materials were crucial in determining the electrochemical performance of the stacked device 28,29 . Lastly, the cyclic retention and stability were determined under a current density of 3 A g −1 , as depicted in Fig. 3d. The stacked device retained 80% of its initial capacitance. Although there was a 5% capacitance drop in the stacked device compared to that of the single device, it was compensated by the increase in the specific capacitance value, which broadened its practical application.   Figure 4 shows a Ragone plot comparing the performance of the as-assembled device to a commercially available Al electrolytic capacitor and KEMET graphitic supercapacitor 30 , as benchmarks to determine the feasibility of the as-assembled supercapacitor (refer Table S1 and Table S2 for the specifications of these devices). The plot shows the gravimetric energy density and power density values for all the devices tested. Although the Al electrolytic capacitor delivered an ultrahigh power density, its energy density was ~50 times lower than that of the stacked device. In comparison, although the EDLC stores energy in much the same way as a traditional capacitor, by means of charge separation, supercapacitors can store substantially more energy (per unit mass or volume) than a conventional capacitor because a large amount of charge can be stored on the highly extended electrode surface area created by the large number of pores within the high-surface-area electrode material 31 . Remarkably, compared to the KEMET graphitic supercapacitor, the as-assembled device exhibited nine times more energy density with a comparable power density. Although both of them employed the electrochemical double layer storage mechanism, the relatively high energy density of the as-assembled supercapacitor may have been contributed by the unique structure of the GNPs, where the interstitial network of agglomerated GNPs provided a less tortuous diffusion path for electrolyte ions to be stored in this reservoir 21,32 . To sum up, the as-assembled device outperformed the selected commercial energy storage devices. The adoption of the extensive casing procedures employed in commercial devices, forming a closed and compact system, could greatly reduce problems such as the evaporation of the aqueous electrolyte over time and the unwanted reaction of the supercapacitor's components with the atmosphere, enabling the GNP-based supercapacitor to be competitive in the market.
To demonstrate the potential usefulness of the as-assembled supercapacitor, three stacked devices were connected in series to make a tandem device. The electrochemical performances of this tandem device were evaluated using CV and GCD measurements ( Figure S2). As shown in Fig. 5a,b, the potential window was extended from 0.8 V for the stacked device to 2.4 V for the tandem device. Meanwhile, the produced current (represented by the area under the CV curves) and charge/discharge time at the same current density were essentially unchanged for the tandem device and stacked device, indicating that the capacitive performance of each supercapacitor unit was well retained in the tandem device. Moreover, from the CV profiles recorded in Fig. 5a, it can be seen that different bending angles do not affect the CV curves of the tandem device, demonstrating that it can be bent without affecting the structural integrity of the device. The flexibility of the as-assembled supercapacitor, which enabled it to withstand stress at different curvatures, could be attributed to the exceptional mechanical and electrical robustness of the highly interconnected 2D network structure of GNPs and the favorable interfacial electrochemical behaviors of the GNPs in the Na 2 SO 4 liquid electrolyte 33 . Lastly, the tandem device, bent at 180°, was used to light up a red light-emitting diode (Fig. 5c) for 40 s after charging for 60 s, which proved the concept of a flexible energy storage device, and most importantly demonstrated the practical potential of the stacked device, where a custom-made supercapacitor with specific voltage and capacitance ratings can be formed using parallel and series configurations.

Conclusion
This work reported findings from the design, stacking, and testing of supercapacitors. The morphology and electrochemical properties of the GNP electrode material were examined using FESEM, TEM, CV, GCD, and EIS. Through the contributions of the unique properties of the GNP active materials, high ion-diffusion rate of the aqueous Na 2 SO 4 electrolyte, and sealed and intimate configuration, the equivalent series resistance (ESR) of this stacked device remained low at 0.50 Ω, with good inherent capacitive behaviors. The energy density of the stacked device increased fourfold in magnitude to 24.64 Wh kg −1 (vs. 6.28 Wh kg −1 ) without losing its power density of 402 W kg −1 (vs. 403 W kg −1 ) compared to a single cell device. It is expected that the design and testing results reported here could form the basis for future commercial applications. Furthermore, the fact that the stacked device outperformed the selected commercially available electronic devices (KEMET and ILLINOIS) and the simplicity of the fabrication process reported here have further reinforced the feasibility of using GNP-based supercapacitors for commercial upscaling, leading to the future production of high-energy-density supercapacitors. Polyvinylidene fluoride (PVDF), with an average Mw of 180,000 by GPC, and 99% 1-methyl-2-pyrrolidione (NMP) were purchased from Sigma Aldrich, Malaysia. Sodium sulphate (Na 2 SO 4 ) was purchased from Merck, Germany, and 55 mm qualitative filter paper was purchased from Advantec, Toyo Roshi Kaisha, Ltd., Japan. Copper foil with a thickness of 0.025 mm was purchased from Goodfellow Cambridge, England. Double distilled water was used throughout the experiment.
Material Characterization. The surface morphologies were analyzed using a field emission scanning electron microscope (FEI Nova NanoSEM 400 operated at 20.0 kV) equipped with an energy-dispersive X-ray (EDX) accessory and an HT7701 Hitachi transmission electron microscope (TEM). The crystalline structures of the products were identified by an X-ray diffraction (XRD) analysis using a D8 Advance (Bruker, Karlsruhe, Germany) automated X-ray diffractometer system with Cu−Kα radiation at 40 kV and 40 mA ranging from 10° to 80° at room temperature.

Preparation of Graphene Nanoplatelets (GNPs).
GNPs were produced by the thermal exfoliation of expandable graphite. The expandable graphite was subjected to a thermal shock at 950 °C for 10 s. Then, the obtained thermally exfoliated graphite was sonicated for 1 h using a probe sonicator to obtain GNPs.
Assembly of Supercapacitor. The copper foils were pre-treated by sonication in ethanol, followed by distilled water, and vacuum dried in an oven for 30 min. A slurry paste was formed by mixing GNPs with PVDF in NMP solvent. The paste was doctor bladed on both sides of the clean copper foils, and vacuum dried for 4 h. The mass of each electrode was 0.015 g with a surface area of 2 cm * 2 cm. A supercapacitor was assembled by stacking the copper foils coated with GNPs, which were separated by microporous papers immersed in an aqueous electrolyte consisting of 2 M Na 2 SO 4 . A schematic illustration of the assembly of the supercapacitor is shown in Fig. 6.
Electrochemical Measurements. Electrochemical measurements for the supercapacitors were carried out using a Princeton potentiostat/galvanostat controlled by Versa Studio software, employing a two-electrode cell system. The electrochemical impedance spectrum (EIS) analyses were carried out in a frequency range of 0.01 Hz to 30 kHz at an open circuit potential with an alternating current perturbation of 5 mV. The capacitance value (C T ) was calculated from the galvanostatic discharge curve using Eq. 1.  where I is the constant discharge current (A g −1 ); t is the discharge time (s); and V is the potential window during the discharge process after the IR drop (V). The specific energy density (E) and power density (P) are calculated according to Eqs 2 and 3, respectively.
where C T is the total capacitance calculated from the discharge curve (F); V is the potential window during the discharge process after the IR drop (V); and m is the total mass of the electrode materials (g).
1 where E is the specific energy density (Wh kg −1 ); and t is the discharge time (s). The electrochemical measurements of the commercial devices were carried out using the same methods.
Data availability. Data generated or analysed during this study are included in this published article.