Proton conducting electrospun sulfonated polyether ether ketone graphene oxide composite membranes †

A series of novel composite membranes, based on sulfonated poly(ether ketone) (SPEEK) with a graphene oxide (GO) layer, were prepared. One contained a GO layer sandwiched between the SPEEK – polyvinyl alcohol (PVA) matrix (SPEEK/PVA@GO), and another deposited thin layers of GO on the nano ﬁ bers of SPEEK – polyvinyl butyral (PVB), with both sandwiched in the phase matrix of SPEEK – PVA (SPEEK/ PVA@GO-NF). Various nano ﬁ ber thicknesses were studied by varying the electrospinning time. The prepared composite membranes with di ﬀ erent nano ﬁ ber thicknesses were characterized by scanning electron microscopy, water uptake, ionic exchange capacity, thermogravimetric analysis, mechanical properties and proton conductivity. Our results showed that the proton conductivity of SPEEK/PVA@GO membranes increased with temperature, from 1 (cid:1) 10 (cid:3) 3 S cm (cid:3) 1 at 30 (cid:4) C to 8.3 (cid:1) 10 (cid:3) 3 S cm (cid:3) 1 at 130 (cid:4) C. These conductivity values are higher than those observed for the membrane with SPEEK/PVA@GO-NF nano ﬁ bers. However, a conductivity comparison of the di ﬀ erent thicknesses of SPEEK/PVA@GO-NF nano ﬁ bers allowed us to conclude that conductivities increase with nano ﬁ ber thickness at all temperatures. Finally, the calculated activation energy of the SPEEK/PVA@GO membrane (1.4 kJ mol (cid:3) 1 ) was found to be one order of magnitude lower than that for pure SPEEK/PVA (17.3 kJ mol (cid:3) 1 ). This reduction indicated that the in ﬂ uence of temperature on the conductivity decreases when GO is inserted into SPEEK/PVA membranes. In the case of the SPEEK/PVA@GO-NF membrane, the activation energy decreased as a function of the nano ﬁ ber network's thickness.


Introduction
Proton transfer plays a crucial role in a wide range of chemical and biological processes, such as enzyme reactions, photosynthesis and respiration, as well as in technological applications, such as, fuel cells, chemical sensors and electrochemical devices. 1 In proton exchange membranes (PEMs), the device performance is directly dependent on the velocity of the proton transfer (i.e., proton conductivity). 2,35][6] An ideal PEMFC possesses high proton conductivity, low gas and liquid permeability, excellent stability at a high temperature, mechanical strength and a low cost. 7In this regard, Naon membranes, based on peruorosulfonic acid polymers, have been widely used as PEMs due to their excellent proton conductivity and high chemical stability. 8owever, Naon membranes have several drawbacks, such as low proton/vanadium ion selectivity, high costs and a dramatic reduction in the proton conductivity above 80 C, which blocks its use for large-scale applications. 9Therefore, the search and development of low-cost PEMs with high conductivity at elevated temperatures is a critical issue in PEMFCs.
In recent years, the SPEEK polymer has emerged as a noble substitute for Naon membranes due to its high thermal and a Departamento de Química -Centro de Investigación y de Estudios Avanzados del I.P.N., Av.1][22] However, the physical and chemical properties of SPEEK membranes are highly dependent on the degree of sulfonation (DS). 23In this regard, SPEEK membranes with high DS exhibit high proton conductivity, although high DS values lead to poor mechanical stability. 246][27] Among them, the dispersion in the polymeric matrix of nanomaterials based on inorganic llers possessing proton-conducting groups, [28][29][30] such as zeolites, 31 carbon nanotubes, 32 silicon nanoparticles, 33 heteropolyacids 34 and many others, has emerged as an attractive strategy.In addition, graphene oxide (GO) has particularly received signicant attention due to its excellent physical and chemical properties. 35In this regard, GO has emerged as a potential candidate in proton-conducting processes due to its high stability and the presence of a variety of oxygenated functional groups (-O-, -OH, and -COOH) in its structure, which seem to participate in the formation of one-dimensional hydrogen-bonded channels for proton transport. 36][39][40][41][42][43] In this work, we report the preparation and application of a series of SPEEK-polyvinyl alcohol (PVA) nanocomposite membranes containing GO and SPEEK-polyvinyl butyral (PVB)based nanobers sandwiched inside two GO layers.These nanobers were fabricated using the electrospinning method, which has received considerable attention in the preparation of PEMs during the past few years. 44The corresponding nanocomposite membranes were characterized by scanning electron microscopy (SEM), water uptake, ionic exchange capacity, thermogravimetric analysis, mechanical properties and proton conductivity.In this study, we investigated two types of membranes: one with the GO layer sandwiched between the matrix phase of SPEEK-PVA, and the other depositing thin layers of GO on the nanobers of SPEEK 70 wt% -PVB 30 wt% with different thicknesses, with both sandwiched in the phase matrix of SPEEK-PVA.The proton conductivity of different composite SPEEK/PVA@GO and SPEEK/PVA@GO-NF membranes was measured via impedance spectroscopy in the temperature range of between 30 and 130 C.

Materials
PEEK (VICTREX® PEEK 450 PF) was acquired from Victrex, Inc. in the form of a powder (50 mm) with a molecular weight (M w ) of 39 200 and a density of 1.30 g cm À3 .PEEK was dried at 150 C for 3 h in an oven as specied in its technical data sheet.PVB (Butvar® B-98 powder) was purchased from Sigma-Aldrich.Granulated PVA (Mowiol® 28-99 grade) was donated by the Kuraray Europe GmbH Company (Frankfurt, Germany).Concentrated sulphuric acid (H 2 SO 4 ) with a specied concentration of 95 to 98 wt% was purchased from Scharlau.N,N-Dimethylacetamide (DMAc) 99.8% solvent was purchased from Sigma-Aldrich.The PVB, PVA, sulfuric acid and DMAc were used as received.

Synthesis of graphene oxide (GO)
GO was synthesized from graphite powder through a modied Hummer's method 45,46 as described briey as follows: in a pretreatment step that ensured complete oxidation, concentrated H 2 SO 4 (12 ml) was heated to 80 C in a 300 ml beaker.K 2 S 2 O 8 (2.5 g) and P 2 O 5 (2.5 g) were added under stirring until the reactants were completely dissolved.Graphite powder (3 g) was then added to the H 2 SO 4 solution, and the mixture was kept at 80 C for 4.5 h using a hotplate.Subsequently, the heating was stopped, and the mixture was diluted with 0.5 l of deionized (DI) water and le overnight.The reaction mixture was ltered and subsequently washed using a 0.2-micron Nylon Millipore lter to remove all traces of acid.The solid was then transferred to a drying dish and le overnight under ambient conditions.Pretreated graphite powder was put into cold (0 C) concentrated H 2 SO 4 (120 ml).Then, KMnO 4 (15 g) was added gradually under stirring, and the temperature of the mixture was kept to below 20 C by cooling.Successively, the mixture was stirred at 35 C for 2 h and diluted with DI water (250 ml).Because the addition of water in the concentrated sulfuric acid medium released a large amount of heat, the addition of water was carried out in an ice bath to keep the temperature below 50 C. Aer adding all of the 250 ml of DI water, the mixture was stirred for 2 h, and then, additional 0.7 l of DI water was added.Shortly aer the dilution with 0.7 l of water, 20 ml of 30% H 2 O 2 was added to the mixture, and the color of the mixture changed into brilliant yellow along with bubbling.The mixture was ltered and subsequently washed with a 1 : 10 HCl aqueous solution (1 l) to remove metal ions, followed by 1 l of DI water to remove acid.The resulting solid was dried in air, diluted in DI water and ultrasonicated for 10 min until a homogeneous solution was obtained.Finally, this GO solution was centrifuged at 1500 rpm for 10 min to remove the unexfoliated GO.

Sulfonation of SPEEK
A total of 30 g of dry PEEK powder was gradually dissolved in concentrated sulfuric acid at 55 C under continuous mechanical stirring, and a concentration ratio of 5/95 (w/v) PEEK/ sulfuric was maintained.During the slow addition of the PEEK powder, the mixture changed from brown to an intense red color.Aer the complete dissolution of PEEK ($45 min), the polymer solution was maintained under the same temperature and stirring conditions for 12 h.Then, the polymer solution was precipitated (using a syringe) in cold DI water under mechanical stirring to obtain thin white threads of the SPEEK.The threads were successively immersed in DI water to remove the residual sulfuric acid until the pH value of the washing water ltered was near 7.The threads were dried rst at 80 C in an oven overnight to remove as much water as possible.In this step, the threads were merged into a yellow solid mass similar to a gelatin.This gelatin was cut into small pieces that were dried in an oven at 100 C until a constant weight was observed.The nal dark red product was stored in a sealed container to avoid the absorption of water.
2.4.Preparation of membranes 2.4.1.Preparation of SPEEK/PVA@GO.GO composite SPEEK/PVA membrane was prepared by adding the SPEEK/PVA solution (in DMAc) on the extended GO over the glass plate, which was subsequently dried at 80 C for 6 h.Next, membranes were dried at 160 C for 16 h to remove residual DMAc solvent.Finally, the membranes were dried under pressure at 140 C for 10 min.The thickness of the prepared GO layer was approximately 5-7 mm with an uncertainty of 1 mm, and the nal thickness of the SPEEK/PVA-GO membranes was 200-220 mm with an uncertainty of 10 mm.
2.4.2.Preparation of SPEEK/PVA@GO-NF.The fabrication of SPEEK/PVB nanobers was performed by using the electrospinning method as described in previous reports. 47The polymer solution (20 wt% SPEEK 70 -PVB 30 in DMAc) was injected with a syringe pump with a ow rate of 0.2 ml h À1 to the tip of a steel capillary, which was separated by 18 cm from the rotating drum collector (1200 rpm).A potential difference of 20 kV was applied between both electrodes.The electrospinning time varied from two to 14 hours with the purpose of obtaining different mat thicknesses.The obtained nanober mats were dried in an oven rst at 80 C for 16 h and then at 160 C for 16 h to remove residual DMAc solvent.Finally, the membranes were dried under pressure at 140 C for 10 min.The nal thickness of the SPEEK/PVA-GO-SPEEK-NF membranes was 180-220 mm.The composite membrane is denoted as SPEEK/PVA@GO-NF-X, where X is the thickness of the SPEEK/PVB nanober mat, e.g., SPEEK/PVA@GO-NF-10 is the composite membrane with a SPEEK/PVB nanober mat of 10 mm.

Characterization of the composite membranes
2.5.1.Scanning electron microscopy (SEM) analysis.The morphology of the composite membranes was investigated by using a eld emission scanning electron microscope (FESEM model Ultra 55, Zeiss).Cross-sectional observations were made for SPEEK/PVA composite membranes that were previously cryo-fractured in liquid nitrogen.All of the samples were coated with platinum sputtering before SEM observations were made.
2.5.2.Fourier transform infrared spectroscopy (FTIR) analysis.Fourier transform infrared spectra (FTIR) of membranes were recorded using a Jasco FT-IR spectrometer between 500 and 4000 cm À1 with a 4 cm À1 resolution and an attenuated total reectance (ATR) cell.Backgrounds were acquired before every third sample.
2.5.3.Water uptake and swelling ratio.To evaluate the water uptake and swelling ratio of the membranes, membrane samples were rst soaked in DI water at room temperature for 24 h and then wiped with absorbent paper to remove surface water; then, they were weighed in the dried state (W dry ).Aerward, the membranes were dried in a vacuum oven at 100 C for 24 h and weighed again (W wet ).The water uptake and swelling ratio of the membrane were calculated according to eqn (1) and ( 2): Swelling thickness ð%Þ ¼ where W wet and W dry are the weights of the membranes aer and before water absorption respectively; L wet and L dry are the thicknesses of the wet and dry membranes respectively.Three independent tests were conducted, and the average values were calculated.
2.5.4.Ion exchange capacity (IEC) and degree of sulfonation.The ion exchange capability (IEC) of the membrane was measured by using the traditional titration technique.Typically, the membranes were rst dried.Subsequently, the membranes were immersed in 50 ml saturated NaCl solution and stored in sealed bags for 24 h.Aerward, the solution was ltered and then titrated with 0. 01 mol l À1 NaOH, and the IEC (meq g À1 ) was calculated according to eqn (3): where V NaOH is the volume (ml) of consumed NaOH solution, and C NaOH is the concentration (mol L À1 ) of NaOH solution.
The degree of sulfonation (DS) was calculated by using the following equation: where M SPEEK and M HSO3 are the molecular weights of the SPEEK monomer repeat unit (288) and sulfonic group HSO 3 (81) respectively, and where the IEC is in meq g À1 .2.5.5.Thermogravimetric analysis (TGA).The thermal stability of the SPEEK/PVA composite membranes containing GO was characterized by thermogravimetric analysis (Mettler-Toledo TGA/SDTA 851).The samples (5-10 mg) were weighed in zirconia crucibles and were heated under a nitrogen atmosphere at a heating rate of 5 C min À1 from an ambient temperature to 750 C.
2.5.6.Mechanical properties.The mechanical properties of the SPEEK/PVA composite membranes were measured by using a DEBEN microtest tensile module instrument equipped with a 150-N load cell.To avoid the heterogeneity of the sample, ve rectangular specimens, 7 mm Â 20 mm, were cut from each membrane considering the electrospinning orientation of the ber mats.The samples were clamped on the tensile module with a separation of 10 mm, and the speed rate was xed at 0.4 mm min À1 .The Young's modulus, the maximum tensile strength, the maximum strain and the tenacity were obtained from the tensile stress versus strain plots.
2.5.7.Electrochemical impedance spectroscopy (EIS).The proton conductivity of the membranes in the transversal direction were measured in the temperature range of between 30 and 130 C via impedance spectroscopy in the frequency interval of 10 À1 < f < 10 7 Hz, applying a 0.1 V signal amplitude.A Novocontrol broadband dielectric spectrometer (Hundsangen, Germany) integrated with an SR 830 lock-in amplier with an alpha dielectric interface was used.The membranes were previously immersed in DI water, and the thickness was measured aerward by using a micrometer, taking the average of 10 measurements at different parts of the surface.Then, the membranes were placed between two gold electrodes in a liquid parallel plate cell coupled to the spectrometer, and DI water was incorporated to ensure a fully hydrated state of the samples below 100 C and in equilibrium with its vapor above 100 C. The temperature was controlled with a nitrogen jet (QUATRO from Novocontrol) with a temperature error of 0.1 K during every sweep in frequency.

Membrane preparation and morphology
SPEEK/PVA@GO and electrospun SPEEK/PVA@GO-NF were prepared as shown in Fig. 1.The electrospinning process is simple and controllable, and it allows for the large-scale production of the cost-effective nanober-reinforced SPEEK/ PVA-based membranes.On the one hand, SPEEK/PVA@GO composite membranes were prepared by embedding a GO layer of 5-7 mm in a SPEEK 70 -PVA 30 polymer solution and subsequently dried at 80 C (Fig. 1A).On the other hand, composite materials containing SPEEK/PVB nanober mats were also prepared (Fig. 1B), as the incorporation of nanober mats into the SPEEK/PVA matrix has been probed to improve mechanical stability and proton conductivity. 48,49For the preparation of the SPEEK/PVA@GO-NF composite membrane, SPEEK 70 -PVB 30 nanobers were initially prepared using the electrospinning method, 50 controlling different nanober mat thicknesses (from 10 to 50 mm) by varying the electrospinning time.Next, the nanober mats were sandwiched into two GO layers (5-7 mm).Finally, these mats were embedded in a SPEEK 70 -PVA 30 polymer solution and dried at 80 C.
The images of SPEEK/PVA composite membranes containing GO layers (SPEEK/PVA@GO) reveal relatively uniform and smooth cross-section features (Fig. 2A and ESI Fig. S1 †).The SEM images of the composite membranes show some wrinkles at high magnication, consistent with the typical GO nanosheet morphology. 51The morphology of composite membranes containing electrospun SPEEK/PVA@GO-NF in Fig. 2B shows that the SPEEK/PVB nanobers formed a three-dimensional multilayered brous network.The thickness of this nanober network can be controlled by the variation of the electrospinning time.From the micrographs (B and C), it is possible to observe that the nanober layer is properly embedded into the SPEEK/PVA polymer matrix (ESI Fig. S2 †).SEM micrographs also show that a homogeneous morphology for the SPEEK-PVB nanober mats was obtained without defects during the electrospinning process (Fig. 2D and E, and ESI Fig. S3 †).

Physicochemical properties
The main goal of SPEEK-based proton exchange membranes is the ability to transport or conduct protons (H + ) by using the acidic sulfonic groups (-SO 3 H) present in the polymer structure, and through the water molecules retained in the network.Table 1 summarizes the total thickness, water uptake, swelling ratio and IEC for the SPEEK/PVA@GO and SPEEK/PVA@GO-NF membranes.The water uptake, swelling ratio and IEC values for a pure SPEEK/PVA membrane are also shown for the sake of comparison.As mentioned above, the water molecules are involved in the conductivity process, and consequently, water uptake is one of the most important properties of sulfonic acidbased polymer membranes in their applicability as fuel cell electrolytes, reecting the hydrophilicity and free volume property of the membranes. 52The water uptake and swelling ratio of membranes were determined via the measurement of the change in the mass and size before and aer hydration (24 h in DI water), and the obtained values of all of the membranes are shown in Table 1.
Composite membrane SPEEK/PVA@GO showed a higher water uptake value than that of neat SPEEK/PVA.It was also observed that nanocomposite membranes absorb more water compared with SPEEK control membranes, similarly to other SPEEK nanocomposite membranes. 53For composite membranes with SPEEK/PVB nanobers, both the water uptake and swelling degree increased as a function of the nanober thickness.As shown in Table 1, the water uptake for SPEEK/ PVA@GO-NF membranes increased from 34 to 47% when increasing the nanober thickness from 10 to 50 mm.This may be associated with the increasing amount of SPEEK when the thickness of the nanober increases, which can favor the hydration process.
The IEC, which is also related to the proton conductivity, indicates the density of exchangeable H + functional groups contained in the polymeric membrane. 54The IEC values of prepared membranes are also shown in Table 1.The SPEEK/ PVA matrix displays an IEC of 1.93 mmol g À1 .By comparison, the incorporation of GO resulted in a decrease of the IEC value of the SPEEK/PVA@GO membrane, which was 1.74 mmol g À1 , as the GO reduced the -SO 3 H concentration in the composite membrane. 55A similar situation was observed for the SPEEK/ PVA@GO-NF systems, where increasing the thickness of this nanober network from 10 to 50 mm leads to an increase from 1.65 to 1.87 mmol g À1 .
Composite membrane SPEEK/PVA@GO showed higher water uptake than that of neat SPEEK/PVA.It was also observed that all of the nanocomposite membranes can absorb more water than the SPEEK/PVA membrane can as observed in other SPEEK nanocomposite membranes. 56For composite membranes with SPEEK/PVB nanobers, both the water uptake and swelling degree increased as a function of the nanober thickness.As shown in Table 1, the water uptake for SPEEK/ PVA@GO-NF membranes increased from 34 to 47% when increasing the thickness of this nanober network from 10 to 50 mm.Finally, the degree of sulfonation increased for the SPEEK/ PVA@GO-NF membranes as a function of the nanober thickness, from 55 to 64% as the thickness of this nanober network from 10 to 50 mm.

Fourier transform infrared spectra
Infrared spectroscopy is a highly useful characterization technique in material science.Fig. 3 shows the FT-IR spectra of SPEEK/PVA and SPEEK/PVA@GO-NF membranes over the range of 3750-400 cm À1 .For the SPEEK/PVA membrane (Fig. 3a), a broad peak of around 3450 cm À1 due to the presence of -OH (from -SO 3 H), and bands at 1286 cm À1 and 1083 cm À1 , which are associated with asymmetrical and symmetrical stretching vibrations of the O]S]O group, were observed.Aer the incorporation of the GO layer, the presence of GO in the membranes was conrmed via the presence of peaks at 3500-3000 cm À1 (O-H stretching), 1590 cm À1 (-COO-stretching) and 1158 cm À1 (C-OH stretching).
All of the SPEEK-based membranes showed characteristic bands assigned to the asymmetric and symmetric stretching vibration of the characteristic bands for O]S]O in the sulfonic acid group.It is worth mentioning that the corresponding bands are slightly shied to lower wavenumbers, indicating the formation of hydrogen bonds between the sulfonated acid groups from the SPEEK matrix and the polar groups (-OH and -COOH) present in the GO layer. 57These hydrogen bond interactions may improve the composite membranes' mechanical and thermal stability.

Thermal analysis and mechanical properties
Stable polymer electrolyte membranes that exhibit fast proton transport at high temperatures are required for their application as PEMFCs.The thermal properties of SPEEK-based membranes with GO were studied with TGA (Fig. 4).The Fig. 2 SEM images of (A) SPEEK/PVA@GO, (B and C) SPEEK/PVA@GO-NF and (D and E) electrospun fiber mat prepared with 20 wt% SPEEK 70 -PVB 30 in DMAc for the sample with 12 h of electrospinning time.
Table 1 Membrane thickness, water uptake (at 25 C), swelling degree, IEC and degree of sulfonation (DS) for SPEEK/PVA@GO and SPEEK/ PVA@GO-NF membranes containing nanofibers with different thicknesses (10, 20, 30   With the incorporation of the GO layer into the SPEEK/PVA membrane (SPEEK/PVA@GO) and SPEEK nanobers (SPEEK/ PVA@GO-NF-30), the second decomposition temperature stage of around 220-350 C showed weight loss of 12 and 5%, respectively, indicating an improvement of the thermal stability, particularly for the SPEEK/PVA@GO-NF membrane.The result suggests that the presence of GO and nanobers delays the decomposition of the SPEEK/PVA membrane.It is worth mentioning that composite membranes show higher degradation temperatures than the pure SPEEK/PVA membrane does at the rst weight-loss stage, showing an increase in thermal stability.It has been reported that the free radicals can be generated during thermal decomposition and that the GO can capture them, 59 thus improving the thermal stability of the membrane.The aforementioned results indicate that the interaction between sulfonic acid groups and GO (as shown in the FT-IR spectra) causes an increase in the SPEEK-based membrane's thermal stability. 60he mechanical behavior of the membranes was studied by using a DEBEN microtest tensile module instrument.Aer obtaining the tensile stress versus strain curves (Fig. 5), mechanical parameters, such as Young's modulus, the maximum tensile strength, the maximum strain and the toughness, were obtained (see ESI, Table.S1 †).These studies were performed with the purpose of evaluating the mechanical behavior and comparing the effect of the incorporation of the GO layer into composite membranes.In the case of the SPEEK/ PVA@GO membrane, an engineering tensile strength at break of 68.9 MPa and a few-percent elongation at break was measured.The incorporation of the nanober layer (SPEEK/ PVA@GO-NF) promotes an increase in strength and stiffness, especially for membranes with higher thickness, compared with pure SPEEK-PVA membranes.However, as TGA studies showed, membranes containing SPEEK/PVB nanobers reveal better stability at high temperatures than SPEEK/PVA@GO membranes do.In this regard, SPEEK/PVA@GO-NF membranes revealed lower engineering tensile strengths at break, which was found to be dependent on the SPEEK/PVB nanober thickness (Fig. 5).In addition, Young's modulus increased from 1.4 GPa to 2.1 GPa when increasing the nano-ber thickness from 10 to 50 mm respectively.The same trend   was observed for the maximum tensile strength, whose value increased from 23.8 to 43.5 MPa respectively for the same thickness increment.These values suggest that the incorporation of the SPEEK/PVB nanober layer promotes an increase in strength, compared with the SPEEK-PVA pure membrane, which breaks abruptly.These results are in agreement with previous studies regarding the nanober mats of SPEEK/PVB composite membranes.As a result of the mechanical tests, all composite membranes prepared are mechanically stable and suitable candidates in PEMFC applications.

Electrochemical impedance spectroscopy (EIS)
Electrochemical impedance spectroscopy (EIS) is an experimental method for characterizing electrochemical systems, involving measuring the impedance of the electrochemical system over a range of frequencies, and therefore, the frequency response of the system can be determined. 61Although EIS is considered an indirect methodology, it is commonly used to determine the ion conductivity in polyelectrolyte membranes.EIS is an indirect method because it requires the selection of criteria to obtain the true value of the DC conductivity.In this regard, from the dielectric measurements taken with the Novontrol equipment (from 0.1 to 10 MHz), the DC conductivity, s dc , can be obtained by using three methodologies: (1) from the relationship between the complex dielectric permittivity and the complex conductivity, (2) from the Bode diagram and (3) from the Nyquist plot.Aer determining s dc via the three methodologies described above, the average values are reported in Table 2.
Initially, the DC conductivity (s dc ) was calculated from the relationship between the complex dielectric permittivity and the complex conductivity, which is given by eqn (5): This equation can also be expressed in terms of the real and imaginary part, taking into account the dielectric permittivity 3*(u) ¼ 3 0 (u) À j3 00 (u), as follows in eqn ( 6) and ( 7): where 3 0 represents the vacuum permittivity and u the angular frequency of the applied electric eld (u ¼ 2pf).The real part of conductivity, s 0 , is characterized in the high-frequency range by a plateau that represents the sample's DC conductivity (s dc ).
3][64][65] Notice that the intercept of this straight line at log u ¼ 0 allowed for determining the value of DC conductivity (s dc ), as for the "idealized" case of a compound with purely ohmic conductivity, the imaginary part of the complex permittivity is provided by 3 00 ¼ s dc / (3 0 u).This can be seen by the fact that the plot of the double logarithm plot of the dielectric loss versus frequency exhibits a slope of À1 (ESI, Fig. S9-S10 †).As a representative example, Fig. 6 shows the double logarithmic plot of the imaginary permittivity 3 00 versus the frequency for the SPEEK/PVA@GO membrane at all temperatures under study (30-130 C).As shown, the behavior of the SPEEK/PVA@GO membrane is linear in the region of high frequency.The slope of the straight line is practically À1 for all of the temperatures studied (values from Table 2 Values of the diffusion coefficient, activation energy and conductivity obtained via 3 00 vs. frequency Bode and Nyquist diagrams and plots for SPEEK/PVA@GO and SPEEK/PVA@GO-NF membranes À0.97 to À1, with a correlation coefficient of 0.999).From the double logarithm plots of the imaginary permittivity 3 00 versus frequency, s dc can be obtained from the intercept at frequency f ¼ 1 Hz (when the log f ¼ 0).Following this procedure, the conductivities (s dc ) of the composite membranes and 30 to 130 C were obtained.Fig. 6 also shows that in the region of mid-frequency, the behavior of 3 00 passes through a maximum or a saddle point, then continues increasing with decreasing frequency.This shoulder of the complex permittivity (3 00 ) shows a Debye-like shape, due to the electrode polarization (EP) effect, characterized by relaxation time s EP that depends on the temperatures, sample widths and chemical structures of materials and their properties.The maximum in 3 00 represents the full development of the electrode polarization. 66,67For the other samples described in the study, a similar behavior was observed (ESI Fig. S9-S10 †).From these gures, we observe the peak or shoulder shi to low frequencies as the temperature increases.However, when the temperature is higher than 100 C, this behavior changes, and the shoulder shi to high frequencies may be related to the samples' dryness.
At low frequencies, the dependence is, again, linear, but with a slope lower than unity, which is an indication of dependence similar to what happens in the high-frequency region following eqn (8): where n takes values between 0.5 and 0.7 but with conductivity s 0 associated with other types of ions, such as impurities that diffuse more slowly because the EP has almost completely built up. 68s mentioned above, another commonly used methodology for determining the DC conductivity is from the Bode diagram. 69As shown in Fig. 7 for all samples, the real part of the conductivity, s 0 , and the phase angle (f) are represented in function of the frequency for all temperatures studied.A closer inspection of these plots shows that the values of the real part of the conductivity reach a plateau when the phase angle tends to be a value of zero.In our samples, we can observe a plateau, situated in the region of high frequencies (when samples are in wet conditions) and at low frequencies when the samples are measured in dry conditions.][72] The analysis of Bode plots (Fig. 7) yielded information complementing that obtained from imaginary permittivity 3 00 plots.In Bode plots, the real part of the conductivity (s 0 ) and the phase angle (f) are represented as a function of the frequency.Ideally, the proton conductivity of the membrane can be obtained from the value of the conductivity in the region of high frequencies where the phase angle reaches zero.Accordingly, we obtained the proton conductivity from the Bode plots, where the phase angle was close to À15.A closer inspection of Fig. 7 shows that the values of the real part of the conductivity (s 0 ) reach a plateau in the region of low frequencies (when the phase angle (f) tends to be zero) and others in the region of low frequencies.The plateau situated in the region of high frequencies is associated with the protonic conductivity in the bulk SPEEK/PVA pure membrane.The other plateau in the region of low frequencies can be associated with the proton conductivity trough of the SPEEK/PVB nanobers and also with the electrode polarization via the formation of electrochemical double layers and polymer relaxation.Between the regions of high and low frequency, there is a decrease in the conductivity that can be explained as a Debye relaxation due to the macroscopic polarization of the ionic charges as a consequence of the applied electric eld.This relaxation is characterized by a relaxation time that is dependent on the temperature, the chemical structure of the membrane and its thickness. 73lthough the maximum conductivity for the obtained composite membrane with GO is lower than those reported to commercial Naon membranes at temperatures below 90 C, the importance of these SPEEK/PVA@GO composite membranes is that these membranes can operate in a temperature range of 90 to 130 C, maintaining good proton conductivity and stability without being susceptible to degradation at these temperatures.This advantage makes these novel composite membranes suitable candidates for applications in fuel cells at intermediate temperatures, especially in the range from 100 to 130 C.
Finally, we also looked at the Nyquist diagram 74 for the same temperatures represented in the Bode diagram of conductivities.In the Nyquist plot, the real (Z 0 ) and imaginary components (Z 00 ) of the complex impedance were plotted for the entire range of frequencies.We can observe for all of the composite membranes and for all temperatures two semicircles intersecting the abscissa axis in the high-frequency region at Z 0 ¼ R 0 (i.e., the membrane resistance).Semicircle-like waves are observed as a result of polarization processes, the two possible relaxation processes associated with the bulk and nanober components, and other phenomena taking place in the system composed of the SPEEK/PVB nanober-SPEEK/PVA bulk-electrode interface.The following equation was calculated (9): where L is the thickness of the sample, and S, the effective area of the sample sandwiched between the two electrodes during measurements, have also been permitted to obtain the conductivity values (ESI Fig. S16-S19 †).Table 2 shows the average values of the conductivities obtained for all of the temperatures studied via the aforementioned methods: (1) the double logarithm plot of the dielectric loss versus frequency, (2) Bode diagram and (3) Nyquist plot are given.Finally, we investigated the relationship between proton conductivity and temperature.For this purpose, we measured the conductivity in the range of 30-130 C. We found that the proton conductivity of SPEEK/PVA@GO membranes increased with temperature, as the mobility of conducting species increases with higher temperatures.In this particular study, the proton conductivity increased from 1 Â 10 À3 S cm À1 at 30 C to 8.3 Â 10 À3 S cm À1 at 130 C.These values are higher than the values observed for composite SPEEK/PVA@GO-NF membranes containing SPEEK/PVA nanobers.For the latter, a conductivity comparison between the SPEEK/PVA@GO-NF membranes with different nanober thickness allowed us to conclude that conductivity increased with nanober thickness at all temperatures under study.This behavior was associated with the contribution of the nanobers to the conductivity of the composite membrane.Although the proton conductivity of SPEEK/PVA@GO-NF membranes is low compared with commercial membranes based on Naon or in the range of SPEEK-PVA pure membranes, the conductivity for Naon drops signicantly at 80 C. On the contrary, the conductivity of SPEEK/PVA@GO-NF membranes can operate at temperatures of more than 100 C.These results show that the incorporation of GO clearly offers substantial PEMFC and DMFC performance improvements at elevated temperatures.
As shown in Fig. 8, the relationship between proton conductivity and temperature follows a Vogel-Fulcher-Tammann (VFT) behavior according to eqn (10): ln s 0 ¼ ln s N À B T À T 0 (10)   where s N is a pre-factor related to the conducting limit at higher temperatures, B is a tting parameter related to the curvature of the plot, which can be described as the activation energy of the process, and T 0 is the Vogel temperature, considered the temperature where the relaxation time would diverge.
Table 3 shows the corresponding VFT parameters, s N , B and T 0 , for the conductivity data of the composite membranes for the entire range of temperatures.The calculated activation energy are also shown, and the SPEEK/PVA@GO membrane displays an activation energy of 1.4 kJ mol À1 , which was found to be one order of magnitude lower than that obtained for pure SPEEK/PVA, whose value is 17.3 kJ mol À1 .This signicant  reduction in the activation energy indicates that the inuence of temperature on the conductivity decreased when the GO layer was inserted into SPEEK/PVA membranes.In the case of SPEEK/ PVA@GO-NF membrane, the activation energy decreased as a function of the thickness of the nanober network.In this regard, the activation energy varied from 5.2 to 2.7 kJ mol À1 when increasing the nanober thickness from 10 to 50 mm respectively.This effect suggests that the nanober layer favors the proton transport, and therefore, conductivity occurs more easily through the nanober network rather than in the SPEEK/ PVA phase.

Conclusions
In summary, we prepared a membrane consisting of a sandwich of a GO layer inside two SPEEK/PVA layers (SPEEK/PVA@GO) and a sandwich of a SPEEK/PVA nanober layer (SPEEK/ PVA@GO-NF) containing nanober layers with 10-50 mm thickness inside two GO layers, which was sandwiched inside two SPEEK/PVA layers.The structures of the different SPEEK/ PVA composite membranes were investigated with SEM, FT-IR and TGA.Impedance spectroscopy studies allowed us to obtain the proton conductivity, and the results showed the importance of the nanober layer in gaining adequate chemical, thermal and mechanical stabilities.The highest proton conductivity was found for the SPEEK/PVA@GO membrane, 8.3 mS cm À1 at 130 C.These results show that the incorporation of GO clearly offers substantial PEMFC performance improvements at elevated temperatures.Further investigations to optimize the performance of these composite membranes are in progress.
SPEEK/PVA thermogram shows the three main stages of thermal degradation that these polymer-based membranes undergo.The rst stage corresponds to the thermal dissolution at the temperature range from 100 to 200 C, where all of the water and solvent evaporate.The next stage corresponds to thermal desulfonation at 220-350 C (ref.58) with a weight loss of 16%.Finally, SPEEK/PVA shows one decomposition stage above 450 C with 55% residue, which is attributed to polymer backbone degradation.GO presents a rich variety of functional groups containing oxygen, such as epoxy, hydroxyl, carbonyl and carboxylic acid groups, which can be decomposed via heat treatment, where large changes in weight due to the decomposition of oxygen functional groups were measured from 150 to 300 C.

Fig. 4
Fig.4TGA curves of composite membranes under a N 2 atmosphere.

2 2 Fig. 6
Fig. 6 Double logarithmic plot of the imaginary permittivity 3 00 versus the frequency for the SPEEK/PVA@GO membrane in the temperature range between 30 and 130 C.

Fig. 8
Fig. 8 Arrhenius plot for the SPEEK/PVA composite membranes containing GO.
and 50 mm)

Table 3
Vogel-Fulcher-Tammann (VFT) fitting parameters obtained from the membranes under study.The values of c 2 parameters represent the sum of the square deviations between the experimental data and theoretical values determined using eqn(10)