This paper describes a simple, reproducible, and scalable procedure for the preparation of a SiO2-containing supercapacitor with high cycle stability. A carbon mesoporous material (CMM) with a high specific surface area, CMK-3, was adopted as an electric double-layer capacitor (EDLC) active material for the preparation of electrodes for the supercapacitor. The optimized SiO2 content decreased as the microsphere diameter decreased, and the optimal specific capacitance was obtained with 6 wt % SiO2 microspheres (100 nm size). The capacitance improved from 133 to 298 F/g. The corresponding capacitance retention rate after 1000 cycles increased from 68.04 to 91.53%. In addition, the energy density increased from 21.05 to 26.25 Wh/kg with a current density of 1 A/g. Finally, similar results based on active carbon, CeO2/CMK-3, and graphene/CNT/MnOv composite electrodes demonstrated that the proposed method exhibits wide compatibility with diverse electrode materials.
This paper describes a simple, reproducible, and scalable procedure for the preparation of a SiO2-containing supercapacitor with high cycle stability. A carbon mesoporous material (CMM) with a high specific surface area, CMK-3, was adopted as an electric double-layer capacitor (EDLC) active material for the preparation of electrodes for the supercapacitor. The optimized SiO2 content decreased as the microsphere diameter decreased, and the optimal specific capacitance was obtained with 6 wt % SiO2 microspheres (100 nm size). The capacitance improved from 133 to 298 F/g. The corresponding capacitance retention rate after 1000 cycles increased from 68.04 to 91.53%. In addition, the energy density increased from 21.05 to 26.25 Wh/kg with a current density of 1 A/g. Finally, similar results based on active carbon, CeO2/CMK-3, and graphene/CNT/MnOv composite electrodes demonstrated that the proposed method exhibits wide compatibility with diverse electrode materials.
There
is increasing demand for environmentally friendly, high-performance,
rechargeable energy storage/conversion devices. Supercapacitors bridge
the gap between traditional high-power capacitors and high-energy
devices,[1,2] thus their desirable features and applications
have attracted intensive research attention.[3−8] To date, studies have been focused on increasing the energy density
and/or power density with complex metal oxide alloys, conductive polymers,
and electrolytes or developing special material structures.[9−13] In this work, we demonstrate a new strategy for increasing energy
density and power density simultaneously by simply dispersing the
SiO2 microspheres in the electrode.Supercapacitors
can be categorized as either electrochemical double-layer
capacitors (EDLCs) or pseudocapacitors.[14,15] Carbon materials
are frequently adopted as EDLC active materials because of their high
conductivity, porous structure, thermal/chemical stability, high surface
area, and low cost.[14,16,17] CMK-3 is a representative of and has been used frequently as a supercapacitor.[18−20] On the other hand, expensive redox-active materials, e.g., conductive
polymers or metal oxides, are frequently added to the improve overall
performance.[19,21−23]The utilization
efficiency of an electrode active surface crucial
for supercapacitor is related to the affinity between species at the
electrolyte–material interface. Davoodabadi et al. reported
an experimental and theoretical study on electrolyte absorption kinetics,
showing that enhanced electrolyte–electrode affinity is beneficial
for improving the performance of lithium batteries.[24] We observed a similar phenomenon in the proton-exchange
membrane fuel cells; the addition of insulating SiO2 microspheres
in the electrode matrix resulted in a 1.5-fold increase in power density
and improved electrode durability.[25] Meanwhile,
SiO2 has also been adopted as an electrode component in
several supercapacitor studies.[21,22,26−30] However, the advantage of SiO2 for the electrolyte–electrode
affinity was overlooked; these studies attributed the improvement
to the spatial and templating effects of SiO2.Considering
the spatial effect, Zheng et al. found that the addition
of SiO2 spheres between the MoS2 nanosheets
caused a deformation of the nanosheets; this created large pores between
the nanosheets and resulted in larger specific surface area and more
facile electrolyte ion transport.[28] Wang
et al. demonstrated the impact of SiO2 on the microstructure
and charge–discharge performance of the reduced graphene composites.[29] Briefly, SiO2 prevented the stacking
and loss of surface area, thereby promoting ion transport and improving
the performance of the electrode material.[28,29] Ali et al. embedded Co3O4 nanoparticles in
a SiO2 matrix to prevent the aggregation of the Co3O4 nanoparticles and achieved an improved electroactive
surface utilization, charge-storage properties, and cycling stability.[21]Considering the template effect, SiO2 spheres were used
as templates to control the formation of MnO2 spheres and
the core–shell nanostructures, thereby providing more reduction
sites for the Faradic reactions.[22,27] Zhang et al.
used SiO2 spheres to prepare SiO2/MnO2 core–shell nanostructures; they suggest that the silica cores
control the size of MnO2 shells, and these nonagglomerated
particles offer active sites for the desired reactions.[27] Iro et al. utilized SiO2 spheres
as templates for the preparation of MnO2 hollow spheres
to produce active sites.[22] Zhang et al.
designed a hierarchical SiO2@C/TiO2 hollow sphere
structure in which the porous SiO2 layer was thought to
offer channels for ion diffusion through the hierarchical structure,
thereby shortening the ion-transfer path and enhancing the overall
specific capacitance.[26]On the other
hand, Leonard et al. coated SiO2 nanoparticles
on a carbon nanofoam, an activated carbon cloth, and an activated
carbon powder and examined their performance as organic electrolytes.
The authors showed that the addition of SiO2 increases
the capacitance and the energy density (up to 140%) at high power.
However, they noted that the mechanism by which SiO2 improved
the performance was unknown,[30] and that
an understanding of the mechanism would facilitate the design of new
materials with improved capacitance and energy density. It may be
surmised that the role of SiO2 in supercapacitors is to
facilitate ion transfer by generating a structure with active sites.
However, little is known about the effect of dispersing SiO2 microspheres in an electrode matrix, and studies on this are required.This report provides a simple, fast, stable, and highly reproducible
method for improving the supercapacitor performance by dispersing
SiO2 microspheres in the electrode matrix. The mass fraction
and particle size of the SiO2 microspheres were optimized
for the preparation of CMK-3 supercapacitor electrodes. Compared with
pristine CMK-3 (electrode CS0), the composite electrode
exhibited a higher specific capacitance and a significant improvement
in cycle stability, energy density, and power density. This study
is the first to demonstrate that the addition of SiO2 microspheres
can improve the electrode/electrolyte affinity and presents a reasonable
mechanism for the improvements. Additionally, the Supporting Information details similar results obtained with
active carbon, CeO2/CMK-3, graphene, and graphene/CNT/MnOv-based electrodes, suggesting that our method is compatible
with many known electrode materials.
Results
and Discussion
Microstructure and Dispersion
of CMK-3 and
SiO2 Microsphere
The morphologies and mesostructure
of SBA-15 and CMK-3 for electrode preparation were confirmed by scanning
electron microscopy (SEM), transmission electron microscopy (TEM),
and X-ray diffraction (XRD) (as shown in Figure S1). As shown in Figure S1a,b, the
morphology of CMK-3 exhibits units with a length of ca. 1 μm
and a width of ca. 300–500 nm (Figure S1b, Supporting Information), indicating that CMK-3 is a perfect replica
of the SBA-15 fiber. The two-dimensional (2-D) hexagonal mesostructure
of CMK-3 rods is displayed in Figure S1c (side view) and Figure S1d (cross section).
The XRD patterns of the SBA-15 template and CMK-3 are displayed in Figure S1e,f, respectively. The N2 adsorption/desorption isotherm analysis suggests that CMK-3 has
a uniform pore size of 3.8 nm, a specific surface area of 1254.7 m2/g, and a specific pore volume of 1.53 cm3/g.The SiO2 particle size varied with the mass fractions
of ammonia solution and tetraethyl orthosilicate (TEOS) used during
the preparation, with lower ammonia and TEOS contents producing smaller
microspheres. For instance, 50 nm SiO2 microspheres were
obtained with an EtOH:H2O:NH4OH:TEOS ratio of
100:10:1:1 (S50 SEM image shown in Figure S2a and Table ); gradually increasing the NH4OH and TEOS concentrations leads to an increase in sphere size (50–400
nm) (Figure S2a–e and Table ; hereafter denoted as S, where the subscript x indicates
the size of the SiO2 microspheres).
Table 1
Designation of SiO2 Microsphere
and the Corresponding Processing Parameters
SiO2 microsphere designation (Sx)
EtOH (mL)
H2O (mL)
NH4OH (mL)
TEOS (mL)
size (nm)
electrode
designation (CSx–y)
Sx mass
fraction; y (wt %)
CS0
y = 0
S50
100
10
1
1
40–60
CS50–y
y = 1–15
S100
100
10
2.5
1.5
100–130
CS100–y
y = 1–15
S200
100
15
10
3
200–230
CS200–y
y = 1–15
S300
100
10
10
10
280–310
CS300–y
y = 1–15
S400
100
10
20
5
360–430
CS400–y
y = 1–15
S:
designation of SiO2 microspheres, where the subscript x indicates the particle size.
CS: designation of the CMK-3/S composite
electrodes, where the subscript x indicates
the mass fraction of S.
S:
designation of SiO2 microspheres, where the subscript x indicates the particle size.CS: designation of the CMK-3/S composite
electrodes, where the subscript x indicates
the mass fraction of S.The microscopic morphology of the
electrode (Figure S3a–g) exhibits
an agglomeration of S50 (50 nm SiO2 microspheres), regardless
of the mass fraction of S50. Even when the slurry used
for electrode preparation was pretreated with ball milling (200 rpm;
30 min), spontaneous agglomeration was still observed in the electrode
(Figure S3a-1). This can be attributed
to a reduction in the surface free energy of the nanoparticles.[31,32] Compared with S50, SiO2 microspheres with
particle size between 100 and 400 nm (i.e., S100, S200, S300, and S400) can be better dispersed
in the electrode material (CS100–, CS200–, CS300–, CS400–, shown
in Figures and S4–S6, respectively; where the subscript y represents the mass fraction (%) of S). However, when the SiO2 microsphere content
exceeded a certain mass fraction, the microspheres began to aggregate.
With the increasing size of the SiO2 microspheres, aggregation
begins at a higher SiO2 mass fraction. The aggregation
of SiO2 microspheres in CS100–, CS200–, and CS300– (microsphere sizes 100, 200, and 300 nm) occurred
with SiO2 mass fractions ≥8% (Figure e), 10% (Figure S4f), and 15% (Figure S5g), respectively.
Besides, no aggregation of S400– was observed in other electrodes. This indicated that the larger
the SiO2 microspheres, the less likely they are to aggregate
in the slurry owing to a lower surface free energy. The EDS analyses
of CS100–15 and CS400–15 are shown
in Figures S7 and S8, respectively.
Figure 1
SEM morphologies
of the electrode sheets: (a) CS100–1, (b) CS100–2, (c) CS100–4, (d)
CS100–6, (e) CS100–8, (f) CS100–10, and (g) CS100–15.
SEM morphologies
of the electrode sheets: (a) CS100–1, (b) CS100–2, (c) CS100–4, (d)
CS100–6, (e) CS100–8, (f) CS100–10, and (g) CS100–15.
Effect of SiO2 Mass Fraction on
Electrode Hydrophilicity
Figure shows that the water uptake by the CS100– electrode depended on the SiO2 mass fraction. For the CMK-3 electrode without SiO2 microspheres (CS0), the water uptake was only 18.6%.
As the SiO2 mass fraction increased from 1 to 6% (CS100–1 to CS100–6), the water uptake
by the electrode increased to 42.1%. This could be attributed to the
hydrophilicity of the SiO2 microspheres. However, further
increases in the mass fraction of SiO2 (e.g., CS100–8) caused a decrease in water uptake (36.4%), which was attributable
to aggregation and the reduced number of hydrophilic regions. Since
an aqueous electrolyte was used in this study, water uptake by electrode
materials modeled the electrode/electrolyte affinity.
Figure 2
Effects of the SiO2 mass fraction on the electrode water
uptake.
Effects of the SiO2 mass fraction on the electrode water
uptake.
Effect
of SiO2 Microsphere Diameter
and Mass Fraction on Capacitance
Chronopotentiometry (CP)
measurements were used to examine the capacitance of the electrodes
containing SiO2 microspheres (50–400 nm; 0–15
wt %). These measurements could improve the understanding of the effect
of microspheres on (1) the electrode/electrolyte affinity, (2) the
charge transfer, and (3) the capacitance of the supercapacitor. Figure a–e demonstrates
the impact of SiO2 microspheres (particle sizes 50–400
nm) on the relative capacitance. The charging/discharging curves of
the optimal conditions of each group are shown in Figure S9.
Figure 3
Capacitance versus mass fraction of the SiO2 microspheres
with sizes: (a) CS50–, (b) CS100–, (c) CS200–, (d) CS300–,
and (e) CS400–.
Capacitance versus mass fraction of the SiO2 microspheres
with sizes: (a) CS50–, (b) CS100–, (c) CS200–, (d) CS300–,
and (e) CS400–.When the mass fractions of the 100 nm SiO2 microspheres
were 0, 1, 2, 4, 6, 8, 10, or 15 wt %, the capacitances were 133,
179, 200, 184, 298, 145, 126, and 117 F/g, respectively (Figure b). The capacitance
increased gradually, peaking at 298 F/g for an S100 content
of 6 wt %. This could be attributed to the dispersion of the SiO2 microspheres and thus the enhanced affinity between the electrode
and the electrolyte (discussed in Section ); this was confirmed by electrical impedance
spectroscopy (EIS; Figure S11a). The Rct (charge transfer resistance) and RΩ (electrode resistance) of CS100–6 were much lower than those of CS0, indicating an improved
electrode/electrolyte affinity. Increasing the mass fraction further
(from 8 to 15 wt %) caused a decreased capacitance, beginning with
the point at which SiO2 microspheres began aggregating
(Figure e) and limiting
the charge conduction.For SiO2 microspheres with
diameters of 200 nm (S200) and 300 nm (S300),
a trend similar to that
of CS100 was found. The capacitance increased with the
mass fraction of SiO2 microspheres and reached maximum
values of 240 and 197 F/g at 8 and 10 wt %, respectively (Figure c,d). Further increases
in the SiO2 content resulted in a decreased capacitance
after the SiO2 ratio had reached the point at which aggregation
commenced (Figures S4f and S5g). The best
capacitance values for CS100–,
CS200–, and CS300– occurred at mass fractions just below that at which
aggregation occurred, verifying that the aggregation of SiO2 microspheres negatively affected the capacitor performance. Thus,
the optimized mass fractions of S100, S200,
and S300 were 6, 8, and 10 wt % (CS100–6, CS200–8, and CS300–10), respectively.When the diameter of the SiO2 microspheres was increased
to 400 nm (S400), the addition of the SiO2 microspheres
reduced the capacitance below that of CS0 (Figure e). No obvious aggregation
of the SiO2 microspheres was observed in CS400–. However, the CS400– films tended to tilt and peel off after the measurement (Figure S10e–f). In other words, when the
particle size of the SiO2 microspheres exceeded a critical
point, e.g., 400 nm, reduced adhesion between the electrode film and
the substrate led to poor performance and an unstable capacitance
(Figure e). In contrast,
when the size of the SiO2 microspheres was reduced to 50
nm (S50), the extensive agglomeration in all of the CS50– electrodes (described in Section and shown in Figure S3) led to poor penetration of the electrolyte
in the electrode. This hindered the local charge transfer, and the
capacitance varied independently of the mass fraction of the SiO2 microspheres (Figure a).These results indicated that as the particle size
of SiO2 microspheres decreased from 300 to 200 to 100 nm,
the optimal mass
fraction of SiO2 also decreased from 10 to 8 to 6 wt %,
respectively, and the corresponding capacitances were 197, 240, and
298 F/g, respectively (shown as a blue arrow in Figure ). On the other hand, considering the effect
of microsphere size on capacitance, a decrease in the microsphere
size led to a higher capacitance when the SiO2 mass fraction
≤6 wt % (shown as green arrows in Figure ; it should be noted that CS50– did not follow the trend because of the aggregation
discussed in Section ). This could be attributed to the higher surface area affecting
the affinity between the electrode and electrolyte. This indicated
that the smaller the SiO2 microsphere size, the more effective
it was in improving the specific capacitance of the electrode.
Cycle Stability
The optimized electrode
CS100–6 was examined with long-term charge/discharge
tests at a current density of 5 A/g. Figure shows the cycle stabilities for CS0 and CS100–6 electrodes, indicating that after
1000 cycles, the capacitance retention of the CS100–6 electrode was 91.5%, much higher than those of CS0 (68.0%),
CS200–8 (77.5%; Figure S12), and CS300–10 (79.3%; Figure S12). Other studies report stabilities between 78 and 90% after
1000 cycles,[21,27,28] so the composite electrode described herein exhibits excellent performance.
Figure 4
Cycle
life diagram of CS100–6 and CS0 at the
current density of 5 A/g.
Cycle
life diagram of CS100–6 and CS0 at the
current density of 5 A/g.Degradation during the charge–discharge process is often
due to the volume expansion/shrinkage in polymer-based and metal oxide
based supercapacitors.[33−35] Fan et al. found that the charging/discharging process
can also lead to a degradation of the carbon microstructure, resulting
in poorer electrochemical and cycling performance.[36] Therefore, the low retention rate of the CS0 electrode can be attributed to the reduced utilization of active
material caused by rapid charging/discharging cycling. Conversely,
with the dispersion of SiO2 microsphere in the CS100–6 electrode, more uniform expansion and shrinkage can be expected
to mitigate the microstructure degradation and declining capacitance.
The phenomenon can also be observed by comparing the EIS of the CS100–6 electrode before and after 1000 charging/discharging
cycling test (shown in Figure S11a,b, respectively).
It was found that the Rct was increased
after the cycling test, which can be attributed to degradation. The
improved cycle stability exhibited by the CS100–6 electrode can be attributed to the uniform penetration of the electrolyte
into the electrode, which prevents microscale cracking of the electrode
during charge/discharge.In summary, these results clarified
that an effective dispersion
of hydrophilic SiO2 allows an electrolyte to permeate an
electrode effectively and uniformly, thereby increasing the effective
active area for electrochemical reactions, improving charge transport,
and improving the cycle stability.
Energy
and Power Densities
To further
evaluate the applicability of our proposed electrode, Ragone plots
were constructed to compare the energy and power densities of CS0, CS100–6, and recently reported materials.
As shown in Figure , when the current density in the CS0 electrode was increased
from 1 to 10 A/g, the energy density was reduced from 21.05 to 0.16
Wh/kg; when the current density through the CS100–6 electrode was increased from 1 to 10 A/g, its energy density (26.25
Wh/kg) was only reduced to 11.53 Wh/kg. In addition, when the current
density was further increased to 20 A/g, the energy densities of CS0 and CS100–6 were 0.07 and 6.67 Wh/kg, respectively.
Only when the current density was increased to more than 30 A/g did
the energy density of CS100–6 begin to show a significant
decrease. Besides, CS100–6 also shows outstanding
performance under high power density conditions, when compared with
a pristine electrode (CS0). The results indicate that the
energy density and high power density can be improved easily by the
dispersion of SiO2 microspheres. Figure shows that the performance of our CS100–6 electrode surpasses those described in recent
studies.[23,26,37−39] Additionally, Ragone plots shown in Figure S13 indicates improved performance resulting from the dispersion of
SiO2 microspheres to active carbon, CeO2/CMK-3,
graphene, and our recently reported graphene/CNT/MnOv-based
electrodes,[40] suggesting that the proposed
method is compatible for broader electrode materials.
Figure 5
Comparison between CS0 and CS100–6.
Comparison between CS0 and CS100–6.
Conclusions
This is the first report demonstrating
enhanced energy density,
power density, and cycling stability realized by improving the electrolyte/electrode
affinity and dispersing the SiO2 microspheres in the electrode.
Mesoporous carbon CMK-3 was adopted as an EDLC active material, SiO2 microspheres were added to the electrodes, and the effects
of the microspheres’ sizes and mass fractions on specific capacitance
were studied to optimize electrodes. Further, the electrodes’
energy density vs power density and cycle stability were compared.When the size of the SiO2 microspheres was reduced (300,
200, and 100 nm), the optimal mass fraction decreased (10, 8, and
6 wt %, respectively) and the capacitance values increased (197, 240,
and 298 F/g, respectively), indicating that a smaller particle size
leads to larger microsphere surface areas. This facilitates the electrolyte/electrode
contact and ion transport. Our CS100–6 electrode
exhibited excellent cycle stability and retained 91.53% of its capacitance
after 1000 charge–discharge cycles. A comparison via Ragone
plots showed that higher energy density and higher power density can
be achieved by dispersing SiO2 microspheres in the electrodes.
When the CMK-3 electrodes operate under a low-current mode (1 A),
the energy densities of CS0 and CS100–6 were 21.05 and 26.05 Wh/kg, respectively; however, when these operated
under high current (10 A), the energy densities of CS0 and
CS100–6 were 0.16 and 11.5 Wh/kg, respectively.
This illustrates the outstanding performance of the CS100–6 electrode, especially under high power density conditions. Finally,
it was proved that the proposed method is compatible with a variety
of materials; therefore, further integrating this strategy with emerging
supercapacitors is valuable for their commercial applications.
Experimental Section
Preparation of Mesoporous
Template and CMK-3
Mesoporous silica (SBA-15) was prepared
according to the known
procedure.[18,19,41,42] It was started by dissolving P123 triblock
copolymer (EO20-PO70EO20; Pluronic
P123; Aldrich) in aqueous hydrochloric acid (1.3 M) at a temperature
≤40 °C. The desired amount of tetraethyl orthosilicate
(TEOS, Aldrich) was added, and the solution was stirred for 1 h in
a 40 °Cwater bath. The mixture was aged in an oven at 100 °C
for 48 h. The white precipitate was filtered and washed on a Büchner
funnel, dried in an oven, and calcined in a furnace at 570 °C
for 6 h to obtain the mesoporous SBA-15.Mesoporous carbon (CMK-3)
was made by nanocasting using the mesoporous SBA-15 as a template.[18] CMK-3 was prepared by dissolving sucrose in
a dilute H2SO4 solution (0.3 M). This solution
was slowly mixed with the desired quantity of SBA-15 and heated for
12 h (6 h under 60 °C; 6 h under 120 °C) to effect dehydration.
The mixture was subjected to high-temperature carbonization at 900
°C under a nitrogen atmosphere, and the silica template was removed
with a hydrofluoric acid solution (1.0 M). The mesoporous CMK-3 carbon
was filtered with a Büchner funnel, washed until the washings
were neutral, and then dried in an oven.
Preparation
of SiO2 Microsphere
and Electrodes
The procedure for the preparation of silica
microspheres was modified from the method of Jiang et al.[43] The desired ratio of aqueous ammonia (1–20
mL) and TEOS (1–10 mL) was added to a stirred aqueous ethanol
solution (ethanol 100 mL; H2O 10–15 mL). The resulting
solution was stirred at room temperature for 12 h and then centrifuged
(6500 rpm) for 20 min. After repeated washing and centrifugation processes,
the white precipitate was dried in an oven. Table lists the designations of the SiO2 microspheres (S) and the corresponding
experimental parameters.To fabricate electrodes, slurries were
prepared by dissolving S, CMK-3, Super-P
carbon black, and poly(vinylidene fluoride) (PVDF) in N-methyl-2-pyrrolidone (NMP) using 30 min of stirring and 30 min of
ultrasonic vibration. The CMK-3:Super-P:PVDF ratio of 8:1:1 was adopted
for EDLCs, and various mass fractions (1–15% compared to CMK-3)
of S (S50, S100, S200, S300, S400) additives were
used. The resulting black slurry was used to prepare the electrodes.The titanium sheet was used as a substrate and a current collector;
it was uniformly coated with the slurry and placed in a vacuum oven
at 100 °C for 30 min. These resultant electrodes were denoted
as CS (Table ).
Characterization Techniques
Scanning
electron microscopy (SEM, JSM-7100F), transmission electron microscopy
(TEM, JEM-1400), and X-ray diffraction (XRD, Panalytical X’Pert3
Powder) were used to analyze the surface morphology, the crystal structure,
and the microstructure of the composite materials, respectively. Energy-dispersive
X-ray spectrometry (EDS) was employed to observe the chemical composition
and distribution of the electrode components. Porosity and specific
surface area were analyzed with 77 K N2 adsorption/desorption
isotherm experiments using an accelerated surface area and porosimetry
analyzer (ASAP-2020). The affinity of the electrode material to the
electrolyte was evaluated using hygroscopicity; the electrode material
was dried in an oven and then placed in a container with 90% relative
humidity at room temperature for 24 h. The dry weight (Wdry) and moist weight (Wwet) were compared, and water uptake was calculated using eq .Chronopotentiometry (CP) experiments
(potentiostat
CHI 6273E) were used to measure the specific capacitance and its retention
in long-term operations. Platinum wire counter electrodes, Ag/AgCl
reference electrodes, and 1 M sulfuric acid electrolyte solution were
employed to measure the half-cell potentials with the working electrodes
described above. Equation was used to calculate the capacitance. The normalized result, i.e.,
specific capacitance (F/g), was used for evaluating the performance.
This examination was done with various current densities (1–50
A/g), and Ragone plots were drawn on logarithmic scales to illustrate
the power density vs energy density curves