2. Double Layer Energy Storage in Graphene - a Study Micro and Nanosystems, 2012, Vol. 4, No. 3 181
electrolyte. The super capacitor had specific capacitances of D. Pech et al. [40] has reported high scan rates (250V/s)
135 F/g and 99 F/g in aqueous KOH and organic using onion nano carbon electrodes and Organic tetraethyl
electrolytes, respectively. Improved capacitance (191 F/g, in ammonium tetra fluro borate as electrolyte. The discharge
KOH) was obtained after using microwave power to expand current shows a linear behavior up to scan rates of 100V/s.
GO layers and reduce the GO to RGO (surface area 463 Miller et al. [41] show that EDLCs can have high storage
m2/g). [14] Wang et al. [8] have achieved specific capacity, but the porous electrodes cause them to perform
capacitance value 205 F/g for hydrazine reduce GO of like resistors in filter circuits that remove ripple from
effective surface area 320 m2/g. It is worth noting that the rectified direct current. They have demonstrated efficient
surface area of graphene sheets plays a significant role which filtering of 120 hertz current with electrodes made from
directly affects the performance of the super capacitors. vertically oriented graphene nanosheets grown directly on
The main drawback of using graphene and RGO is the metal current collectors. This design minimized electronic and
ionic resistances and produced capacitors with RC time
agglomeration and restacking due to Van der Waals
constants of less than 200 microseconds, in contrast with ~1
attractive forces between the neighboring layers. The
second for typical EDLCs. Gao et al. [36], have reported scan
aggregation reduces the effective surface area resulting loss
rates of 20V/s and time constants of 10 ms, for all solid EDLC
of capacitance. Therefore, a few researchers have made
with proton conducting polymer and graphite electrodes. They
effort to keep graphene sheets separated by addition of metal
oxide nanoparticles [22]. have used a silicotungstic acid based HPA–H3PO4–PVA
polymer electrolyte, and focused on high scan rates.
The metal oxide–graphene nano composite have shown a
The reduction of ionic and electronic resistance in
great promise for use in super capacitors with high energy
EDLC by using 1- and 2- dimensional material has become
density and high charge/discharge rates. Recent study of Liu
an increasingly important issue in power applications [42,
et al., [19] has shown graphene-based super capacitor that
exhibits specific energy density of 85.6 Wh/kg at room 43]. This means that the storage capacity depends on the
texture of the carbon used and the construction of the
temperature and 136Wh/kg at 80 C. They have reported that
electrodes. The parameters that affect solid state EDLC
the mesoporous structure of the curved graphene sheet is
electrode design are pore size, surface area, wettability, and
responsible for this. The curved nature of graphene sheets
conductivity. The gravimetric capacitance Cg is strictly
prevent face to face restacking and maintain large pore size
determined by the electrode material and electrode structure.
(2–25 nm). High scan rates with minimal loss of capacitance
make them good electrode materials for energy storage. No simple relation exists between Cg and specific surface
area (SSA). This may also be due to ion size effects [44].
Among various conductive polymers, PANI has been Subramaniam and coworkers [15, 31-34] have reported
considered as a most promising conductive electrode electrochemical performance of solid state EDLCs using
material and studied considerably with CNT and other carbon as electrodes with ionic polymers of
carbon system. [24-29] A graphene nanosheets–PANI perfluorosulphonic acid as electrolyte. These carbon based
composite was synthesized by in situ polymerization. [24] EDLCs were assembled using Vulcan XC carbon with typical
The specific capacitance of 1046 F/g was obtained at a scan surface area of 260 m2/gm, mesoporous carbon from silica
rate of 1 mV/s. Conductive graphene nanosheets provide template, (CMK-3), typical surface area of 1260 m2/gm, a
more active sites for nucleation of PANI and is blend of Vulcan XC carbon and mesoporous carbon (90:10 %
homogeneously coated by PANI nano particles on both by weight), Graphene nano platelets (GNP) and blends of
sides, resulting in energy density of 39 kWh/kg at a power Vulcan XC carbon and GNP. In some of these EDLCs high
density of 70 kW/kg. Graphene–PANI composite paper was scan rate capabilities were shown. In this article we present a
also prepared by in situ anodic electro polymerization of short treatise on electrochemical energy storage in Graphene.
polyaniline film on graphene paper. [30] The flexible as
prepared composite paper combined the high conductivity EXPERIMENTAL
showed a gravimetric capacitance of 233 F/g. The assembly of the EDLC has been described in
Subramaniam et al. [31] have shown Graphene detailed elsewhere. [15, 32] Carbon fiber paper TGP-H from
Nanoplatelets (GNP) to have effective energy storage TORAY was used as the base matrix for the electrodes. The
capabilities. These maybe the first reports using solid ionic typical size of the electrode used was 3 cm2. 2.5 mg/cm2 of
polymer as electrolyte and GNP as electrode material. The the active material was coated on the surface of this matrix.
main features of these EDLCs are fast scan rates and high Solution of the ionic polymer was used as binder in the
storage capacities. The EDLCs have good rate capabilities fabrication of the electrodes. It is necessary to optimize the
and reversibility at high scan rates. They have reported quantity of binder. The performance of the electrode is very
performance of EDLCs, which are based on high-surface sensitive to the amount of binder used for a particular particle
area carbon materials, which utilize the capacitance arising size of the active material. Two circular carbon electrodes
from a purely non-Faradaic charge separation at an were assembled on either side of the solid electrolytes. The
electrode/electrolyte interface. [15, 32-34] Solid electrolytes electrodes and the electrolyte were laminated by standard
are elegant to use and very reliable. They can also be shaped lamination process. This assembly was placed between two
and sized to suit the application. All solid EDLCs using grafoil® end plates which were used as current terminals.
proton conducting polymer electrolyte and various Insulating gaskets were placed on both the internal faces of
composites have been studied by different groups [36-39]. It the end plates to prevent lateral shorting and to delimit the
was possible to achieve high scan rates of a few 100V/s. central capacitor portion and to seal the cell assembly.
3. 182 Micro and Nanosystems, 2012, Vol. 4, No. 3 Subramaniam and Maiyalagan
Table 1. Specific Capacitance of Various Graphene Material
No Material Specific Capacitance F/g Electrolyte Reference
1 Graphene Surface area: 2675 m2/g 550 Aq KOH 7
2 Graphene - PANI 1046 6M KOH 30
3 Graphene: Sheet Curved 100 - 250 19
4 Graphene: Hydrazine Reduced GO 200 KOH 8
5 Graphene: Thermally reduced 31 Aq KOH 35
6 GNP 70 PEM 31
Electrochemical Impedance spectroscopy (EIS) Cext, which is almost a constant term has to be evaluated.
measurements were performed in the frequency range 100 This will give us an idea of the structure of electrode
KHz to 10 mHz. EIS was used to understand the interface required for optimal charge discharge performance.
characteristics. Cyclic voltammetric measurements of the
The total capacitance is a function of the micro texture
cell were made in the potential range 0 to 1 V at various scan
of the electrode. Graphene nanoplates (GNP), with narrow
rates. All electrochemical measurements were performed at mesopore distribution have been effectively used to enhance
ambient conditions using a Biologic VMP electrochemical
charge storage performance. Wang et al. [46], suggests that
system.
the role of micro pores (< 2nm) and that of meso pores (2 –
The electrolyte used was Nafion 212 CS with typical 50 nm) and other pore sizes may be different when forming
thickness of 50 micron. The high electronegativity (i.e. double layers, in different types of electrolytes, because of
electron affinity) of the fluorine atom, bonded to the same difference in size and wettability of the ions to the carbon
carbon atom as the SO3H group makes the sulfonic acid a surface. This becomes very important for solid state EDLCs.
superacid (similar to trifluoromethane sulfonic acid). One has to optimize the quantity of the ionic binder to be
Nafion® has the maximum electronegative environment used in the electrode microstructure. The surface area of
possible. The proton conductivity is around 0.2 S/cm for a graphene sheets plays a significant role which directly
well humidified sample. affects the performance of the super capacitors.
The properties of the GNP used in the electrode Barbieri et al. [47], have stated using Differential
fabrication have been discussed elsewhere. [31] Functional Theory (DFT) model, that there exists
capacitance limits to high surface area activated carbons for
RESULTS AND DISCUSSIONS EDLCs. Large Specific Surface Area, SSA, leads to large
Table 1, presents the specific capacitance value of gravimetric capacitance, Cg. The model predicts that above a
various graphene material. The specific capacitance can value of 1200 m2/gm, the variation of Cg with SDFT plateaus.
vary from a few tens of F/g to as high as 1046 F/g, These limitations are due to space constriction for charge
depending on the process of preparation. This has been accommodation inside the pore walls. Capacitance is also
discussed in detail in literature. [2-35] limited by the space charge capacitance of the solid. Below a
pore wall width of 1nm ( 1000 m2/g) the two adjacent space
The main drawback of using graphene and RGO is the
charge region inside the pore begin to overlap, thereby
agglomeration and restacking due to Van der Waals
decreasing the capacitance. Also for SSA around 1200
attractive forces between the neighboring layers. The m2/gm, the average pore wall thickness becomes close to the
aggregation reduces the effective surface area resulting loss
screening length of the electric field. Therefore, for larger
of capacitance. This has been overcome by keeping graphene
SSA values, the pore wall can no longer accommodate the
sheets separated with the addition of metal oxide
same amount of charge at a given electrode potential, thus
nanoparticles [22].
causing saturation. A detailed analysis using DFT has to
The specific capacitances of the carbons depend on done for graphene and its blends.
various factors, and that of high surface area activated
Some of the limitations in performance and in electrode
carbon is dominated by space charge layer capacitance [45].
structure can be circumvented by using ordered mesoporous
The total capacitance can be given by equation 1 [15]:
carbons (OMC) or highly ordered mesoporous carbon
C = Cmicro Smicro + Cmeso Smeso + Cext Sext (1) (HOMC) [48, 49]. In these systems, high specific
capacitance can be obtained and the capacitance show
Where, C micro, Cmeso and Cext are the contribution to negligible dependence on potential sweep rate.
capacitance from micro pore, meso pore and external,
surface area, respectively. Smicro, Smeso and Sext are the micro, Fig. (1), presents the variation of specific capacitance
meso and external surface areas, respectively. When we use with scan rates for GNP and normal carbon with specially
different types of carbon, contributions to capacitance from textured electrode structure. It is evident that the percentage
micro pore surface area, Cmicro, which is dependent on drop in specific capacitance with increasing scan rates is
current density and capacitance from meso pore surface area, much smaller for GNP, which makes it an ideal material for
Cmeso, and contributions to capacitance from other large pore, solid state EDLCs.
4. Double Layer Energy Storage in Graphene - a Study Micro and Nanosystems, 2012, Vol. 4, No. 3 183
Fig. (1). Variation of specific capacitance with scan rate for GNP and normal carbon.
Fig. (2). Nyquist plots for the EDLCs with GNP, and blends of GNP with Vulcan XC.
For applications which require high scan rates, it is tangential velocity decreases. This approach, both in the
necessary to understand the dynamics of the electric double frequency and time domains, has proved useful for
layer in the frequency and time domain. The problem can be extracting information on the perturbation of the electric
very complicated because the nature of the Nernst–Planck, double layer induced by an external field. This approach is
Poisson, and Navier–Stokes equations makes it impossible to very useful when we want to design solid state EDLC with
obtain analytical time dependent solutions except for very high rate capabilities. The exact nature of the response for
limited situations. Lopez et al. [50] have done some GNP will be available elsewhere.
extensive analysis in this regard. They have used a network
model and have obtained the transient response in the time The EIS measurement provides knowledge of the
domain. At short distances (comparable to the double layer frequency dependence of capacitance of an EDLC. Higher
thickness), the profiles of radial and tangential velocities are the frequency dependence of the EDLC, higher will be the
different: the latter increase with distance much faster than power response. The Nyquist plots for the EDLC assembled
the former, thus demonstrating the existence of electro with GNP and blends of GNP and Vulcan XC are shown in
osmotic slip due to negative counter ions being moved by Fig. (2). The blending of the GNP with Vulcan XC was done
the field toward the left of the particle. Such electro osmotic to see whether the texture of the electrode played a role in
flow is negligible outside the double layer and hence the the frequency dependence of the capacitance of the EDLC. It
5. 184 Micro and Nanosystems, 2012, Vol. 4, No. 3 Subramaniam and Maiyalagan
Fig. (3). Cyclic voltammograms at scan rate of 10 mVs-1 for GNP and blends of GNP with Vulcan XC.
is evident from Fig. (2) that blending only changed the ACKNOWLEDGEMENTS
double layer interface but not very prominently, as seen from
One of the authors would like to thank Dr. G
the Cyclic Voltammogram. (Fig. 3) From Fig. (3), which
Velayutham and A. M. Prasad, Anabond Sainergy, India, for
presents the Cyclic voltammograms at scan rate of 10 mVs-1
the some of the experimental work carried out and Harini
for GNP and blends of GNP with Vulcan XC, we see no
Ramakrishnan, Cognisant Technologies, India, for the
deviations for the pure GNP and the blends. This has to be
graphic presentations.
studied further to establish its cause. Also a detailed analysis
at increasing scan rates will give us a better understanding of REFERENCES
the texture of the EDLC electrode. Equivalent series [1] Conway, B.E., Electrochemical Super capacitors: Scientific
resistance (ESR) is important in evaluating EDLC interface Fundamentals and Technological Applications, Kluwer
characteristics. The effective ESR is revealed as the intercept Academic/Plenum Publishers, New York, 1999.
on the Z axis as . It is evident from the Fig. (2) that [2] Geim, A.K.; Novoselov, K.S. The Rise of Graphene. 2007 Nat.
Mater. 6, 183-191.
the ESR value is lower for the blend with 40% Vulcan XC. [3] Geim, A.K. Graphene: Status and Prospects. 2009 Science, 324,
Since creating a good double layer interface is important the 1530-1534.
reason for this has to be examined. [4] Rao, C.N.R.; Sood, A.K.; Subrahmanyam, K.S.; Govindaraj, A.
Graphene: The New Two Dimensional Nanomaterial. 2009
CONCLUSIONS Angew. Chem. Int. Ed. 48, 7752-7777.
[5] Allen, M.J.; Tung, V.C.; Kaner, R.B. Honeycomb Carbon: A
From the present study we can state that EDLCs Review of Graphene, Chem. Rev. 2009 DOI: 10.1021/cr900070d.
assembled with GNP and Blends of GNP with Vulcan XC [6] Park, S.; Ruoff, R.S. Chemical Methods for Production of
Graphene. Nat. Nanotechnol, 2009 4, 217-224.
and Solid polymer electrolyte like Nafion show exceptional [7] Stoller, M.D.; Park, S.; Zhu, Y.; An, J.; Ruoff, R.S. Graphene
energy storage capabilities. They can also support high scan Based Ultra Capacitor. Nano Lett. 2008 8(10), 3498-3502.
rates with substantial smaller capacitance drop with [8] Wang, Y.; Shi, Z.; Huang, Y.; Ma, Y.; Wang, C.; Chen, M.; Chen,
increasing scan rates. There exist different distinct regions of Y. Super capacitor Based on Graphene Material. J. Phys. Chem. C,
2009 113, 13103-13107.
scan rates like low medium or high scan rates where we can [9] Singh, V.; Joung, D.; Zhai, L.; Das, S.; Khondaker, S.I.; Seal, S.
operate depending on the application. Blending GNP with Graphene Based Materials: Past Present and Future. Progress in
carbon like Vulcan XC does not change the storage Mat. Sci, 2011 56, 1178-1271.
capabilities. However, optimization of the electrode structure [10] Frackowiak, E.; Metenier, K.; Bertagna, V.; Beguin, F. Super
capacitor electrodes from multiwalled carbon nanotubes. Appl.
in terms of blend percentage, binder content and interface Phys. Lett., 2000 77(15), 2421-2423.
character in the frequency and time domain is essential. [11] Niu, C.; Sichel, E.K.; Hoch, R.; Moy, D.; Tennent, H. High power
Depending on these characteristic features the EDLCs can be electrochemical capacitors based on carbon nanotube electrodes.
1997 Appl. Phys. Lett., 70, 1480-1482.
very commercially viable. [12] An, K.H.; Kim, W.S.; Park, Y.S.; Choi, Y.C.; Lee, S.M.; Chung,
D.C. Super capacitors using single-walled carbon nanotube
CONFLICT OF INTEREST electrodes. Adv. Mater, 2001 13, 497-500.
The author(s) confirm that this article content has no [13] Du, C.; Yeh, Y.; Pan, N. High power density super capacitors using
locally aligned carbon nanotube electrodes, Nanotechnol., 2005 16,
conflicts of interest. 350-353.
6. Double Layer Energy Storage in Graphene - a Study Micro and Nanosystems, 2012, Vol. 4, No. 3 185
[14] Zhu, Y.W.; Murali, S.; Stoller, M.D.; Velamakanni, A.; Piner, [33] Subramaniam, C.K.; Ramya, C.S.; Ramya, K. Performance of
R.D.; Ruoff, R.S. Microwave assisted exfoliation and reduction of EDLCs using Nafion and Nafion composites as electrolyte. J. Appl.
graphite oxide for ultracapacitors. Carbon, 2010 48, 2118-2122. Electrochem., 2011 41,197-206.
[15] Subramaniam, C.K.; Cheralathan, K.K.; Velayutham, G.; Sri [34] Subramaniam, C.K. Solid State EDLCs Using Various Ionic
Bollepalli, Study of carbon based solid state EDLCs at high sweep Polymers: A Study. ECS Trans., 2010 28(30), 179-195.
rates. ECS Trans., 2012 41(22), 37-49. [35] Vivekchand, S.; Rout, C.; Subrahmanyam, K.; Govindaraj, A.;
[16] Yoon, S.; Lee, J.; Hyeon, T.; Oh, S.M. Electric double-layer Rao, C. Graphene-based electrochemical super capacitors. J. Chem.
capacitor performance of a new mesoporous carbon. J. Sci., 2008 120, 9-13.
Electrochem. Soc., 2000 147, 2507-2512. [36] Gao, H.; Liam, K. High rate all-solid electrochemical capacitors
[17] Frackowiak, E.; Béguin, F. Carbon materials for the using proton conducting polymer electrolytes. J. Power Sour., 2011
electrochemical storage of energy in capacitors. Carbon, 2001 39, 196, 8855-8857.
937-950. [37] Kim, T.; Ham, C.; Rhee, C.K; Yoon, S.H.; Tsuji, M.; Mochida, I.
[18] Chmiola, J.; Largeot, C.; Taberna, P-L; Simon, P.; Gogotsi, Y. Effects of Oxidation and Heat Treatment of Acetylene Blacks on
Monolithic carbide-derived carbon films for micro-super Their Electrochemical Double Layer Capacitances. Carbon, 2009
capacitors. Sci., 2010 328, 480- 483. 47, 226-233.
[19] Liu, C.; Yu, Z.; Neff, D.; Zhamu, A.; Jang, B.Z Graphene-based [38] Staiti, P.; Lufrano, F. A study of the Electrochemical Behaviour of
super capacitor with an ultrahigh energy density. Nano Lett., 2010 Electrodes in Operating Solid-State Supercapacitors. Electrochem.
10, 4863-4868. Acta., 2007 53, 710-719.
[20] Lv,W.; Tang, D.M.; He, Y.B.; You, C.H; Shi, Z.Q.; Chen, X.C.; [39] Lufrano, F.; Staiti, P. Conductivity and Capacitance Properties of a
Chen, C.M.; Hou, P.X.; Liu, C.; Yang, Q.H. Low-temperature Supercapacitor Based on Nafion Electrolyte in a Nonaqueous
exfoliated graphenes: vacuum-promoted exfoliation and System. Electrochem. Solid-State Lett., 2004 7(11) A447-A450.
electrochemical energy storage. ACS Nano, 2009 3, 3730-3736. [40] Pech, D.; Brunet, M.; Duron, H.; Hg, P.; Mochalin, V.; Gogotsi,
[21] Xia, J.; Chen, F.; Li, J.; Tao, N. Measurement of the quantum Y.; Taberna, P.; Simon, P. Ultrahigh-power micrometre-sized super
capacitance of graphene. Nat Nanotechnol., 2009 4, 505-509. capacitors based on onion-like carbon. Nat. Nanotechnol, 2010 5,
[22] Wu, Z.S.; Wang, D.W.; Ren, W.; Zhao, J.; Zhou, G.; Li, F. 651-654.
Anchoring hydrous RuO2 on graphene sheets for high-performance [41] Miller, J.; Outlaw, R.; Holloway, B. Graphene Double-Layer
electrochemical capacitors. Adv Funct Mater., 2010 20, 3595-3602. Capacitor with ac Line-Filtering Performance. Sci., 2010 329,
[23] Wang, H.L.; Hao, Q.L.; Yang, X.J.; Lu, L.D.; Wang, X. Graphene 1637-1639.
oxide doped polyaniline for super capacitors. Electrochem. [42] Huang, C.W.; Hsu, C.H.; Kuo, P.L.; Hseih, C.T.; Teng, H.
Commun., 2009 11, 1158-1161. Mesoporous carbon spheres grafted with carbon nanofibers for
[24] Yan, J.; Wei, T.; Shao, B.; Fan, Z.; Qian, W.; Zhang, M. high-rate electric double layer capacitors. Carbon, 2011 49, 895-
Preparation of a graphene nanosheet/polyaniline composite with 903.
high specific capacitance. Carbon, 2010 48, 487-493. [43] Simon, P.; Gogotsi, Y. Materials for Electrochemical Capacitors.
[25] Gupta, V.; Miura, N. Polyaniline/single-wall carbon nanotube Nat. Mater, 2008 7, 845-854.
(PANI/SWCNT) composites for high performance super [44] Salitra,G.; Soffer, A.; Eliad, L.; Cohen, Y.; Aurbach, D. Carbon
capacitors. Electrochem. Acta, 2006 52, 1721-1726. Electrodes for Double-Layer Capacitors I. Relations Between Ion
[26] Salavagione, H.J.; Martinez, G.; Gomez, M.A. Synthesis of and Pore Dimensions. J. Electrochem. Soc., 2000 147(7), 2486-
poly(vinyl alcohol)/reduced graphite oxide nanocomposites with 2493.
improved thermal and electrical properties. J. Mater Chem., 2009 [45] Hahn, M.; Baertschi, M.; Sauter, O.; Kotz, J.C.; Callay, R.
19, 5027-5032. Interfacial Capacitance and Electronic Conductance of Activated
[27] Yoonessi, M.; Gaier, J.R. Highly conductive multifunctional Carbon Double-Layer Electrodes. Electrochem. Solid-State Lett.,
graphene polycarbonate nanocomposites. ACS Nano, 2010 4, 7211- 2004 7(2), A33-A36.
7220. [46] Wang, L.; Fujita, M.; Inagaki, M. Relationship between pore
[28] Liang, J.; Wang, Y.; Huang, Y.; Ma, Y.; Liu, Z.; Cai J.; Zhang, C.; surface areas and electric double layer capacitance in non-aqueous
Gao, H.; Chen, Y. Electromagnetic interference shielding of electrolytes for air-oxidized carbon spheres. Electrochim. Acta.,
graphene/epoxy composites. Carbon, 2009 47, 922-925. 2006 51, 4096-4102.
[29] Kim, H.; Miura, Y.; Macosko, C.W. Graphene/polyurethane [47] Barbieri, O.; Hahn, M.; Herzog, A.; Kotz, R. Capacitance limits of
nanocomposites for improved gas barrier and electrical high surface area activated carbons for double layer capacitors.
conductivity. Chem. Mater, 2010 22, 3441-3450. Carbon, 2005 43, 1303-1310.
[30] Wang, D. W.; Li, F.; Zhao, J.; Ren, W.; Chen, Z.G.; Tan, J.; Wu, [48] Xing, W.; Qiao, S.Z.; Ding, R.G.; Li, F.; Lu, G.Q.; Yan, Z.F.;
Z.S.; Gentle, I.; Lu, G.Q.; Cheng, H.M. Fabrication of Cheng, H.M. Superior electric double layer capacitors using
graphene/polyaniline composite paper via in situ anodic ordered mesoporous carbons. Carbon, 2006 44, 216-224.
electropolymerization for high-performance flexible electrode. ACS [49] Yaun, D.S.; Zeng, J.; Chen, J.; Liu, Y. Highly Ordered Mesoporous
Nano, 2009 3, 1745-1752. Carbon Synthesized via in Situ Template for Super capacitors. Int.
[31] Subramaniam, C.K.; Maiyalagan, T.; Sangeetha, P.; Prasad, A.M.; J. Electrochem. Sci., 2009 4, 562-570.
Velayutham, G.; Sri BollepalliIn: Int. Con. Nano Sci. Technol. [50] Lopez-Garcia, J.J.; Horno, J.; Gonzalez-Caballero, F.; Grosse, C.;
ICONSAT2012, Hyderabad, India, 2012. Delgadoy,A.V. Dynamics of the Electric Double Layer: Analysis
[32] Ramya, C.S.; Subramaniam, C.K.; Dhathathreyan, K.S. in the Frequency and Time Domains. J. Coll. Inter. Sci., 2000 228,
Perfluorosulfonic Acid Based Electrochemical Double-Layer 95-104.
Capacitor. J. Electrochem. Soc., 2010 157, A600-A605.
Received: December 14, 2011 Revised: March 15, 2012 Accepted: May 14, 2012