Pallab Bhattacharyaa,
Saptarshi Dhibara,
Goutam Hatuia,
Avinandan Mandala,
Tanya Dasb and
Chapal K. Das*a
aMaterials Science Centre, Indian Institute of Technology, Kharagpur-721302, West Bengal, India. E-mail: chapal12@yahoo.co.in; Fax: +91-3222-255303; Tel: +91-322-028-3978
bNanyang Technological University, 639798, Singapore
First published on 14th February 2014
The development of promising microwave absorbing materials is a booming field of research in both the commercial and defense sectors to prevent electromagnetic pollution, and also to enrich the field of stealth technology. Supercapacitors are a symbol of clean energy storage devices. The present work attends to the preparation of hexagonal shaped magnetic M-type hexaferrite, CuFe10Al2O19 (CFA) by a facile chemical co-precipitation method, and the formation of its composites (graphene/CFA) in the presence of acid modified graphene. An in situ approach was employed for the coating of graphene with CFA. Another nanocomposite (graphene/CFA/PANI) was prepared by the wrapping of graphene/CFA with polyaniline (PANI), which was prepared through the in situ chemical oxidation polymerization of aniline. The prepared multifunctional nanocomposites showed an outstanding and improved microwave absorption property (the maximum reflection loss was −63.6 dB at a thickness of 2.5 mm with a broad absorption range) and electrochemical properties (the highest specific capacitance value was 342 F g−1), in contrast to the pristine graphene and CFA. The addition of PANI also improves the microwave absorption and specific capacitance of the nanocomposites. The formation of the multifunctional nanocomposites and their structural characteristics are discussed thoroughly with their impact on the two different fields of applications i.e. microwave absorbing and energy storage device applications individually.
Present society is very familiar with the term electromagnetic pollution, which is caused due to the unwanted microwave radiation coming from various electrical and electronic devices used in the microwave frequency (gigahertz) range.5,6 This pollution interferes and hampers the efficiency of the instruments and equipment used in the fields of medicine, industry, commercial materials, and also in the defence sector. Electromagnetic pollution is also very dangerous to biological systems which are continuously exposed to microwaves for a period of long time.7 Hence, the situation demands an effective electromagnetic pollution suppressor which is able to control or reduce electromagnetic pollution. In particular, microwave absorbing materials can serve this purpose by absorbing unwanted microwave radiation. Another important application of this microwave absorber is in the field of stealth technology, where the absorber helps to increase the stealthiness of an object by reducing its radar cross section.8 Microwave absorbers can also be used for the reduction of electromagnetic interference problems. Therefore, there has been a great deal of curiosity in the preparation of microwave absorbers that have a wide absorption frequency, high absorption capability, good thermal stability etc.
Nowadays, supercapacitors also draw a significant amount of attention because of their high power application demands in many fields, such as electric vehicles, hybrid electric vehicles, mobile electronic devices, off-peak energy back-up systems etc.9,10 The interest is due to supercapacitors being an energy storage device with no pollution, which means it can be used in the manufacturing of vehicles that are friendly to the environment. Supercapacitors are also well-known as a replacement of batteries and conventional capacitors, as their use has a lot of limitations, because the supercapacitors have a very high power and energy density with a long cycle life.11,12 Therefore, these days the research community is highly focused on this particular field of interest. There are many types of supercapacitors, but the hybrid capacitor is desired for superior performance in various applications in modern science and technology. The hybrid capacitor is a new generation supercapacitor, and can be prepared by the hybridization of a double layer capacitor (non-Faradaic process) and a pseudocapacitor (Faradaic process).
The synthetic pathway is simple. The prepared material is a ternary composite made of multi-layered graphene, M-type hexaferrite and the conducting polymer (PANI). Graphene is used because of its amazing electrical, mechanical, and thermal properties.13–15 Graphene has good electrical conductivity with a very high surface area, and both these qualities of graphene are good to serve our purpose. The conductivity of graphene helps the attenuation of microwaves in the absorber, and also facilitates the electron transport during the charge–discharge process in a supercapacitor.16 The high surface area of graphene is useful for high energy storage at the electrode–electrolyte interface of a supercapacitor, and is also helpful for microwave absorption.17,18 With this great advantage of using graphene, the very light weight of graphene and its sheet/plate like morphology is also very useful. M-type hexaferrite and PANI can also contribute to the microwave absorption and supercapacitor properties of a material in different fashions. The microwave absorbing property is associated with the complementarity between dielectric loss (by the dielectric materials) and magnetic loss (by the magnetic materials). In this case, graphene and PANI can play the role of a dielectric material, whereas the ferrite results in the magnetic loss. The total capacitance of a hybrid type supercapacitor depends on the summation of both the electrical double layer capacitance (non-Faradaic reaction) and pseudocapacitance (Faradaic reaction). The contribution from both the electrical double layer capacitance and pseudocapacitance is necessary for an excellent supercapacitive property. The pseudocapacitance may be generated due to the redox reactions involved in the electrode material. Here, the ferrite and polyaniline can play the role of increasing the pseudocapacitance and hence the total capacitance. To the best of our knowledge, there is no report on the microwave absorption and supercapacitor performance of the nanocomposites based on graphene and hexaferrite. There are a few reports on graphene and magnetic material based microwave absorbers, but there is always a chance to get a potential microwave absorber by adjusting the filler content and the thickness of the sample. Among the various magnetic materials, the M-type hexagonal ferrite is a potential candidate for this application, because it has good magnetic properties with planar anisotropy, excellent chemical and thermal stability.19 The report by K. Chen et al. revealed the microwave absorption property of BaAl2Fe10O19 and its composite material with poly(o-toluidine).20 The composite showed a better reflection loss of −29.16 dB than the reflection loss of −25.14 dB showed by BaAl2Fe10O19 alone. The composites of barium ferrite and polypyrrole21 or poly(3,4-ethylenedioxy thiophene)22 have also been examined as a microwave absorber. H. Zhang et al. reported one graphene based composite for the applications of electromagnetic wave absorber and supercapacitor together.23 Polyaniline was chosen because of its thermal and chemical stability, availability of the monomer, its excellent physical and chemical properties, low specific mass, controllable conductivity, and high conductivity at microwave frequencies as well.24
Initially, we synthesized an M-type hexagonal ferrite CuFe10Al2O19 (CFA) through a chemical co-precipitation method, and then CFA was used in the preparation of graphene based nanocomposites (i.e. graphene/CFA). The final nanocomposite (graphene/CFA/PANI) was obtained by employing the in situ chemical oxidation polymerization of aniline in the presence of a graphene/CFA nanocomposite. Here, the thermoplastic polyurethane (TPU) was used as a polymer matrix for the final fabrication of the nanocomposites as it is required for the measurement of the microwave absorbing property. TPU was used because of its highly flexible nature.25 The nanocomposites were prepared with a filler percentage of 20% and characterized by different analytical techniques. The measurements of the microwave absorbing property of the nanocomposites were carried out in the X-band (8.2–12.4 GHz) region of the microwave spectrum. The X-band was chosen for the measurements, because this band has a remarkable impact on both the military and commercial applications.26
The well dispersed graphene solution means the gallery height of the layers of the graphene sheets increased, which helps the incorporation of CFA particles inside the graphene layers. After the incorporation of CFA particles, CTAB was removed by thorough washing with doubly distilled H2O, and produced the final form of the graphene/CFA composite. In the next step, the graphene/CFA/PANI composite was prepared through the polymerization of aniline.
Fig. 2c is the XRD plot of the graphene/CFA/PANI composite which contains a very broad peak at the initial position of the plot, and this is due to the overlapping of many peaks (peaks of PANI and graphene) present in the same region. In the case of graphene/CFA/PANI, there are few peaks and some peaks are of low intensity (with a slightly shifting position) compared to that of graphene/CFA, which means that the wrapping of PANI decreases the crystallinity, also indicating the good interfacial interaction between the components of the composites.31
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Fig. 3 (a) Wide scan XPS spectrum of the graphene/CFA composite, (b) deconvoluted C1s XPS spectrum of graphene/CFA and (c) deconvoluted C1s XPS spectrum of acid modified graphene. |
Fig. 3c is the deconvoluted C1s XPS spectrum of acid modified graphene which shows three distinguishable peaks for the C–C bonds of non-oxygenated graphitic carbon (284.6 eV), C–OH bond (285.5 eV) and C(O)O bonds (289.2 eV) respectively. The peaks for the C–OH bond and C(O)O bonds are obvious as the graphene was modified by acid. The C1s spectrum of graphene/CFA also contains three peaks with slight changing in the peak position (binding energy), which is due to the interaction of graphene and CFA.33 Hence, the XPS result supports formation of the graphene/CFA composite.
The FTIR spectrum of PANI has been well reported in the literature. In this case, Fig. 4a shows the FTIR spectrum of PANI and we found that it contains all of the characteristic peaks in its spectrum. The peaks appeared at 839 cm−1, 1159 cm−1, 1322 cm−1, 1474 cm−1 and 1594 cm−1, which represent the C–H out of plane bending vibration of a 1,4-disubstituted aromatic ring, C–H bending mode of a quinoid ring, C–N and C–N+ stretching vibration mode or C–H bending mode of a benzenoid ring, CN stretching mode of a benzenoid ring and the C
C stretching mode of a quinoid ring respectively.18,24,34,35 Fig. 4b shows the FTIR spectrum of graphene/CFA/PANI which contains all the peaks that appeared for PANI. Fig. 4b also contains the peaks for CFA which appeared at 451 cm−1 and 581 cm−1. The FTIR spectrum of CFA has already been reported in a previous publication,27 which showed that the peaks of CFA are present at 439 cm−1, 550 cm−1 and 745 cm−1. Hence, the peaks of CFA are slightly shifted towards a higher wave number in the case of graphene/CFA/PANI. The peak of CFA at 745 cm−1 is not very clear in the FTIR spectrum of graphene/CFA/PANI, which may be due to the overlapping of the peaks. So, from the FTIR analysis we can assume the formation of the prepared nanocomposites.
Fig. 5 shows the representative Raman spectra of the acid modified graphene (Fig. 5a), graphene/CFA (Fig. 5b) and graphene/CFA/PANI (Fig. 5c) composites. The Raman spectra of acid modified graphene showed the characteristic D and G bands at 1350 cm−1 and 1580 cm−1 respectively. The G band is associated with E2g symmetry, and is generated due to the in-plane vibration of the sp2 carbon atoms of graphene samples, whereas the D band appears from a breathing mode of a K-point phonons of A1g symmetry.36 The G band for graphene and graphene/CFA appears as very sharp and intense, which suggests that the materials are crystalline in nature. Whereas, the crystallinity decreases (the G band becomes broad) after the modification of graphene/CFA with PANI. The broadening of the G band for graphene/CFA/PANI may be due to the coating of amorphous PANI on graphene/CFA.37 The G band of graphene/CFA slightly shifted as compared to the G band of acid modified graphene, and appears at 1584 cm−1. As in the reports of K. Singh et al., we may also suggest that the shifting of the G band indicates the charge transfer between graphene and CFA.31 The D band shifted slightly towards a lower wave number (1342 cm−1) when the acid modified graphene was further modified by CFA. This may be due to the interaction38,39 between the acid modified graphene and CFA. The Raman spectrum of graphene/CFA/PANI showed a similar pattern as that reported by S. Giri et al.34 for graphene and PANI based composites. The Raman spectrum of the graphene/CFA/PANI contains all the characteristic peaks (shown in Fig. 5c) of PANI,40,41 and also the D and G bands (the clarity of these bands is low in the spectrum as it is mixed with the peaks of PANI) coming from graphene. The Id/Ig ratio is an important parameter to measure the degree of graphitization present in a material. The Id/Ig ratio of acid modified graphene is 0.8, whereas the ratio increases to 0.9 for the graphene/CFA composite. This hike in Id/Ig ratio indicates that more defects have been introduced on graphene with the incorporation of CFA particles. Hence, the Raman spectroscopic analysis can effectively explain the formation of graphene/CFA and graphene/CFA/PANI composites.
αhν = A(hν − Eg)n |
αhν = A(hν − Eg)1/2. |
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Fig. 6 (a) UV-Vis spectrum of PANI and graphene/CFA/PANI, (b) band gap of PANI and (c) band gap of graphene/CFA/PANI. |
The band gaps corresponding to PANI and graphene/CFA/PANI (Fig. 6b and c) are 3.8 and 3.07 respectively. Hence, the composite formation helps to decrease the band gap or may increase the electrical conductivity.
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Fig. 7 FESEM image of (a) CFA, (b & c) magnified image of CFA, (d) graphene/CFA and (e) graphene/CFA/PANI. |
To be sure of the formation of the materials, we produced HRTEM images of the prepared samples in Fig. 8. The hexagonal structure of CFA was again authorized by Fig. 8a and b. The inset of Fig. 8b shows the corresponding SAED (Selected Area Electron Diffraction) pattern of the CFA particles. The bright spots of the SAED image confirmed the crystalline nature of CFA. Fig. 8c shows that CFA particles were formed on the graphene surface, and some uncovered surface of graphene is also present in the material. Fig. 8d helps us to know more about the coating of PANI on the graphene/CFA composite. The presence of the graphene sheets is shown by the red coloured single headed arrows in the images.
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Fig. 8 HRTEM image of (a) CFA, (b) a magnified image of CFA, SAED pattern of CFA (inset) (c) graphene/CFA and (d) graphene/CFA/PANI. |
The energy-dispersive spectroscopic (EDS) profile of the prepared composites (ESI-S2†) is also attached for knowledge of the elements present in the materials concerned. The graphene/CFA and graphene/CFA/PANI composite contain all of the said elements used for the preparation of these composites and the XPS results are supported.
The initial look into the TGA plot clearly suggests that the graphene/CFA/PANI composite has greater thermal stability than that of PANI. The DTG curve of PANI contains three different degradation temperatures, minima at – (i) 63 °C, (ii) 237–286 °C and (iii) 528 °C. However, the DTG curve of the graphene/CFA/PANI composite showed the thermal degradation minima at (i) 63 °C, (ii) 260–302 °C and (iii) 542 °C. The first degradation temperature is the same for both materials, and it is due to the loss of moisture captured in the material.31 The second degradation is attributed to the exclusion of dopant material,45 and the last thermal degradation is a result of the degradation of polymer chain.46 Although the pattern of degradation is the same for both materials, the degradation temperature of the graphene/CFA/PANI composite is higher than that of PANI. The highest degradation temperature of the graphene/CFA/PANI composite suggests that the interaction between PANI and the other components of the composite helps the late degradation of the polymer chain. The total weight loss of PANI is around 62% at 800 °C, whereas it is 34% for the graphene/CFA/PANI composite. The late degradation of PANI in the graphene/CFA/PANI composite may be due to the barrier property of graphene.47 The thermal motion of the polymer becomes restricted when it enters into the gallery of graphene sheets, and hence the thermal degradation becomes slow or the thermal stability of the composite enhanced.45 Another reason for the enhancement of thermal stability of the composite is the interaction between the Fe and –NH2 groups of PANI through the coordinate bond, which is formed by the involvement of the d orbital of Fe and the –NH2 group in the back-bonding process.31
resistivity (ρ, Ω cm) = πt/ln![]() |
conductivity (σ, S cm−1) = 1/ρ |
The AC conductivity vs. frequency plot is shown in Fig. 11. At the low frequency region, the AC conductivity of graphene/CFA and graphene/CFA/PANI is low and remains flat. The AC conductivity increases with an increase in frequency for both the materials. The frequency at which the sudden change in AC conductivity occurs is called the critical frequency. After the critical frequency, the change in AC conductivity with frequency is very significant. At a particular frequency, the AC conductivity of graphene/CFA/PANI is higher than that of graphene/CFA. This result is consistent with the result of DC conductivity. The AC conductivity of a material at a low frequency depends on the orientational polarization of the dipoles or induced dipoles present in that material. At a low frequency, the relaxation time of the dipoles is high enough to take part in the orientational polarization along the applied electric field. Since PANI is a dielectric material, so the polarization is more for the graphene/CFA/PANI composite compared to that of the graphene/CFA composite. This is the probable reason behind the high conductivity of graphene/CFA/PANI at the low frequency region. On the contrary, the relaxation time at a high frequency is very short to the orientational polarization and so the AC conductivity does not depend on the polarization of the dipoles. At a high frequency, the AC conductivity of a composite depends on the hopping or tunnelling of the electrons. Here in the present case, the internally connected conductive network of the graphene/CFA/PANI composite increases the rate of hopping or tunnelling of electrons, which results in its better AC conductivity. Hence, both the prepared materials are conductive, but the graphene/CFA/PANI is more conductive than the graphene/CFA.
Both the prepared nanocomposites showed comparable reflection loss values (−60.7 dB for graphene/CFA and −63.6 dB for graphene/CFA/PANI) at 2.5 mm thickness. We have compared our results with some previously reported results in ESI-T2.† The value of RL for our materials is high enough to use it for many microwave absorbing applications. Fig. 13 demonstrates that the maxima of RL moves towards a lower frequency as the thickness of the absorber increases for both the materials. This type of change is beneficial, because the frequency range of absorption can be adjusted according to the requirements by altering the thickness of the material. For a potential microwave absorber the band width of absorption should be very high. In the present work, both the composites cover the whole X-band region with 90% (RL = −10 dB) absorption. Graphene/CFA covers the frequency range (with 99% absorption i.e. RL = −20 dB) of 2.8 GHz (9.6–12.4 GHz), whereas the same increases for the graphene/CFA/PANI composite (9.4–12.4). Therefore, we can conclude that both the materials are efficient broadband microwave absorbers, but graphene/CFA/PANI is superior compared to the graphene/CFA composite. The performance of a microwave absorber depends upon mainly two factors – (i) matching of impedance upon the irradiation of radiation on the surface of the material and (ii) the complementarity between the dielectric loss and magnetic loss. For the good matching of impedance, the controlling of conductivity of the absorber is an important factor. Both high and low conductivity results in bad microwave absorption. Highly conductive materials result in the skin effect, which increases the surface reflection and decreases the absorption. Graphene is highly conductive, therefore the microwave absorption of pure graphene is very low (due to the skin effect, surface reflection becomes very high). In the present case, graphene was decorated with the insulating CFA particles which reduce the conductivity (and also reduce the skin effect) of graphene to some extent, and help in the matching of impedance. Thus, the microwave absorption of the graphene/CFA composite is superb. In the case of graphene/CFA/PANI, the microwave absorption is a little bit higher than that of graphene/CFA, which indicates better impedance matching of graphene/CFA/PANI than that of the graphene/CFA composite. K. Singh et al. also observed that the addition of PANI can improve the matching of impedance.31 The enhanced microwave absorption of graphene/CFA/PANI may also be due to the charge transfer process within the components of the composites, as shown in the Raman spectra. The morphology of the prepared nanocomposites showed that the materials were composited well enough. Hence, these prepared nanocomposites may also exhibit good complementarity between the dielectric loss and magnetic loss, because the nanocomposites contain both the dielectric and magnetic materials together. The dielectric and magnetic performance of the prepared nanocomposites was investigated in terms of their relative complex permittivity and permeability. Fig. 14 shows the variation of the real, imaginary and loss tangents (tanδε = ε′′/ε′) of relative complex permittivity of the graphene/CFA and graphene/CFA/PANI nanocomposite respectively.
The real and imaginary parts of the complex permittivity of the prepared nanocomposite decrease with an increase in frequency. The plot of the loss tangent initially decreases a little bit, and then it remains almost constant. The value of tanδε suggests that graphene/CFA/PANI more efficiently dissipates energy in the form of heat, as compared to the energy dissipation ability of the graphene/CFA nanocomposite. Therefore, the incorporation of PANI improved the dielectric loss of the graphene/CFA/PANI nanocomposite. The dielectric performance of an absorber depends on the extent and type of polarization present in that absorber. The different polarizations that may exist in a material can be classified as ionic, electronic, orientational, and space charge polarization. In the case of the microwave frequency range, the contribution of the orientational and space charge polarization is important. The space charge polarization is associated with the heterogeneity present at the interface between the components of the composites, and the bound charges (dipoles) present in the material is responsible for the orientational polarization. The difference in dielectric constants and electrical conductivities among the components of the composites is responsible for the generation of space charge polarization. As the prepared nanocomposites differ in their dielectric constants and electrical conductivities, so, the amount of space charge polarization and hence the permittivity values of the prepared nanocomposites are also different. The space charge polarization decreases with an increase in the frequency, which results in the decreasing trend of ε′ and ε′′ with the increase in frequency.51 The higher permittivity value of graphene/CFA/PANI may be due to the orientational or dipolar polarization that originates from the bound charges present in PANI. The representative Cole–Cole plot is shown in ESI-S4† which suggests that graphene/CFA/PANI has a higher number of semicircles than that of the graphene/CFA nanocomposites. Each semicircle corresponds to one Debye relaxation process. Therefore, we can say that both the nanocomposites showed a significant amount of the dielectric relaxation process, but it becomes high due to the presence of PANI. This difference in the dielectric relaxation process of the prepared nanocomposites causes the difference in their loss tangent values.40 Graphene/CFA/PANI has a higher loss tangent than that of the graphene/CFA nanocomposites. Higher loss tangent values of the nanocomposites favour high microwave absorption. The in situ synthesis of the nanocomposites is also beneficial to their high microwave absorption as it helps to generate more interfacial sites between the components of the nanocomposites, and therefore the polarization mechanisms occur easily.
Fig. 15 shows the plots of the real, imaginary and loss tangents (tanδμ = μ′′/μ′) of relative complex permeability of the prepared nanocomposites. The real, imaginary and loss tangent values showed a decreasing trend with increasing frequency. The graphene/CFA showed a tan
δμ value a little bit higher than that of graphene/CFA/PANI, which may be due to the presence of non-magnetic PANI in graphene/CFA/PANI. The main contributor to the complex permeability of the nanocomposites is the hexaferrite, CFA. The high magneto-crystalline anisotropy of hexaferrite is essential for the strong coupling between the magnetic dipoles. At the high frequency of the applied field the induced magnetization and applied field differ from each other and magnetic loss happens.52 The domain-wall resonance and spin-rotation resonance are the two contributors to the complex permeability, but the spin-rotation resonance is the major contributor to the magnetic loss.53 The matching of dielectric loss and magnetic loss makes both the nanocomposites potential microwave absorbers. Another important absorption mechanism is that of multiple reflections, which may be due to the presence of layered graphene in the prepared nanocomposites. The multiple reflections can happen in both the nanocomposites, which help in the propagation of electromagnetic waves and enhance the absorption ability of the nanocomposites.
The performance of a good hybrid supercapacitor cannot be judged only by the value of specific capacitance. A good supercapacitor should have the qualities, such as excellent energy and power density, high cyclic stability, good reversibility etc. Therefore, we have also paid our attention to determine the energy and power density by using the equations:
energy density (E) = 1/2(CV2) |
power density (P) = (E/t) |
(1) The total capacitance of a material depends on the summation of double layer capacitance (non-Faradaic process) and pseudocapacitance (Faradaic process). Here, in our case, graphene is responsible for generating the double layer capacitance, and the pseudocapacitance is resultant from the CFA and PANI. Hence, the overall capacitance of the composite increases, as compared to that of its components.
(2) The high surface area and high porosity of graphene facilitates the ion diffusion process of the electrolyte ions and thus the double layer capacitance increases. Moreover, the good electrical conductivity of graphene may speed up the charge transfer process among CFA, PANI and graphene, which further helps to improve the electrochemical properties of the composite.
To further investigate the feasibility of the electrode material, a galvanostatic charge–discharge (GCD) test was performed at a current density of 1 A g−1. The voltage range was maintained from 0.2–0.7 V during the GCD test, as shown in the inset of Fig. 16d. The specific capacitance from the GCD plot can be calculated by the equation:
Specific capacitance = CGCD = i × Δt/(Δv × m) |
η = [discharging time (tD)/charging time (tC)] × 100%. |
The Coulombic efficiency (calculated with respect to the second GCD cycle) of graphene/CFA/PANI is 104%, which is good for potential supercapacitor applications. The GCD test was continued up to 1000 cycles. To know the cyclic stability of graphene/CFA/PANI, we have plotted the specific capacitance vs. the number of cycles and it is shown in Fig. 16d. After 800 cycles, the specific capacitance remains stable and the retention of specific capacitance is ∼81.2%, which is also excellent for supercapacitor applications.
In addition, we have performed the EIS study and the corresponding Nyquist plot (at 0 volt) of graphene/CFA/PANI is shown in Fig. 17 along with the fitted curve. The equivalent electrical circuit used for fitting is shown in the inset of Fig. 17.
A Nyquist plot is the plot of the imaginary vs. real components of the impedance study, and gives the frequency response of the electrode–electrolyte system.34 The higher frequency region is associated with the electrolyte properties, and the mid frequency region corresponds to the electrode–electrolyte interface processes. The solution resistance (Rs) and charge transfer resistance (Rct) are the intercept of the curve at high frequency and mid frequency with the real axis respectively. An impedance response of a 45° straight line is known as the Warburg resistance (W) which signifies the mass transfer parameters of the electrochemical doping process. The Nyquist plot of graphene/CFA/PANI contains one semicircle at the high frequency region, and one straight line at the low frequency region. The diameter of the semicircle can be attributed to the value of Rct. The higher the diameter of the semicircle indicates a higher value of Rct. The Rs and Rct of graphene/CFA/PANI are 1.6 Ω and 7.1 Ω respectively. The low Rct value may result due to the high conductivity of graphene/CFA/PANI. The straight line at the low frequency region of the Nyquist plot is significant with the diffusion of electrolyte ions within the electrode material.11 For an ideal capacitor, this straight line should be parallel to the imaginary axis of the Nyquist plot. Graphene/CFA/PANI deviates from the behaviour of an ideal capacitor as the straight line is not parallel to the imaginary impedance axis. In real-world systems, ideal capacitors do not exist. The non-ideal behaviour of a capacitor can be demonstrated by constant phase element (CPE), which is recognised by a depressed semicircle in the Nyquist plot. The increase in CPE means an increase in the ideal character of a capacitor. The CPE of an electrode can be the result of inhomogeneous distribution of reactive sites on an electrode or the rough surface of the electrode.58 CPE can be defined by the equation:
ZCPE = [Q0(jω)n]−1 |
Footnote |
† Electronic supplementary information (ESI) available: Details of the materials, characterization techniques, supporting figures and tables. See DOI: 10.1039/c4ra00448e |
This journal is © The Royal Society of Chemistry 2014 |