Introduction

Composite materials based on different forms of carbon as conductive phase, dispersed in polymeric matrix, have enabled important advances in the analytical electrochemistry field, particularly in (bio)sensor devices [15].

During the past decades, the electrochemical properties of different carbon paste electrodes have been studied in detail [68]. Recently, it has been developed different composite materials based on different types of polymeric matrices, obtaining interesting electrochemical applications by using graphite powder as conductive phase [1, 911].

Currently, high interest is focused on composites based on carbon nanotubes (CNTs), because of their remarkable electrical, thermal, and mechanical properties. Furthermore, they exhibit a higher area to volume ratio, lower resistivity and higher mechanical and chemical stability than other carbon allotropic forms such as graphite and fullerenes [1215]. For these reasons, it is proved that the electrocatalytic activity of CNTs, focused on multiwall carbon nanotubes (MWCNTs), combined with the polymeric matrix properties are very useful for CNT-based amperometric (bio)sensors construction [3, 16, 17], especially for the detection of compounds such as total cholesterol [18], glucose [19], ascorbic acid [20, 21], chlorine [22], and hydrogen peroxide [23, 24].

Some parameters, such as the composite resistivity, the background capacitance current, the material stability, and the heterogeneous electron transfer rate, depend on carbon load within the polymeric matrix [25]. Regarding to the background capacitance current, the electrode capacitance value is directly related to the amount of exposed carbon [26]. Besides, depending on the carbon load, composite electrodes can behave in the same way as microelectrodes array [27, 28]. The carbon load depends on the physical properties of raw CNTs. The lack of homogeneity in the different commercial CNTs is largely due to the metal impurities content and the high dispersion in their diameter/length [29]. One of the main parameters used to determine the percolation behavior and the conductivity of the composites is the length/diameter ratio of CNTs [3033]. In most studies, the aspect ratio of the CNTs was calculated using the lengths and diameters given by the manufacturer. There are only few studies on the measurement of the MWCNTs length and diameter distributions [3438]. The low electrochemical reproducibility of (bio)sensors is due to the poor homogeneity of raw MWCNTs. Consequently, a careful characterization and optimization of the raw conductor material results mandatory [26, 39, 40].

Therefore, the aim of this work was to study one of the physical properties of raw MWCNTs, concretely the diameter [41] and its relation in the electrochemical response of the sensor in order to obtain the optimum MWCNT/polymer ratio in composite materials in function of the raw conductor material for their application in amperometric (bio)sensors. Accordingly, three different commercial MWCNTs with a priori distinctive diameters and resin epoxy have been used to fabricate three series of composites from 1 to 20 % in MWCNTs load for each of them.

Finally, the benefits of using this approach in terms of analytical performance are demonstrated by the detection of ascorbic acid as reference analyte.

Experimental

Chemicals and reagents

Three different commercial MWCNTs were used in this research. MWCNT-1 was provided by HELIX Material Solutions (Richardson, TX, USA) and its physical properties are >95 % of carbon purity, 10–20 nm of length and 1–2 μm on diameter. The physical properties of MWCNT-2, provided by SES Research (Houston, TX, USA), were >95 % of carbon purity, 10–30 nm of outer diameter and has about 5–15 μm of length. Finally, MWCNT-3 from Sigma-Aldrich (St. Louis, MO, USA) has >95 % of carbon purity, about 6–9 nm of outer diameter and 5 μm of length. All of them were produced using a chemical vapor deposition (CVD) method. Epotek H77A and its corresponding hardener Epotek H77B, from Epoxy Technology (Billerica, MA, USA), were used as polymeric matrix. All solutions were prepared using deionised water from a Milli-Q system (Millipore, Billerica, MA, USA). Potassium ferricyanide/ferrocyanide (99.8 %), ascorbic acid (99.5 %), potassium nitrate (99.0 %), potassium chloride (99.5 %), and nitric acid (65 %) were purchased from Sigma-Aldrich (St. Louis, MO, USA).

Apparatus and procedure

Cyclic voltammetry (CV) and electrochemical impedance spectroscopy (EIS) studies were carried out in a conventional three-electrode cell powered by an electrochemical system consisting of a pontentiostat/galvanostat Autolab system (PGSTAT 30 and FRA boards, Eco Chemie, Utrech, The Netherlands). The system was run on a PC using GPES and FRA 4.9 software. The measurements were made in a 10.0 mL of 0.1 M KCl containing 0.01 M K3[Fe(CN)6]/K4[Fe(CN)6] under quiescent condition. The kinetic processes of those species are strongly dependent on the state of the electrode surface. The experiments were performed at room temperature (25 °C). For impedance measurements, a frequency range of 100 kHz–0.1 Hz was employed. The signal amplitude to perturb the system was 10 mV and the equilibrium time was 15 s. Cyclic voltammograms were taken at the same experimental condition (10 mV/s of scan rate). A single junction reference electrode Ag/AgCl Orion 900100 (Thermo Electron Corporation, Beverly, MA, USA) and a platinum-based electrode 52-671 (Crison Instruments, Alella, Barcelona, Spain) were used as reference and auxiliary, respectively. The MWCNT/epoxy composite electrodes, prepared following the conventional methodology previously established [9], were employed as working electrodes. Finally, the MWCNT composite response changing a concentration of ascorbic acid was evaluated by hydrodynamic amperometric measurements using an amperometer LC-4C (Bio Analytical Systems INC., West Lafayette, IN, USA). Ascorbic acid was used as an analyte for evaluating the electroanalytical characteristics of sensors. Measurements were carried out at 600 mV fixed potential.

Diameter and length of the different raw MWCNTs were estimated from transmission electron microscopy (TEM) images, using a JEM-1400 unit with an acceleration voltage of 120 kV. A ~1 mg of MWCNTs was dispersed in 5 mL of acetone as organic solvent and then placed in ultrasound bath for 1 h. Finally, a drop of this solution was placed on a grid and let it dry before TEM analysis. Both distributions were compiled from at least 100 tubes. Measurements of composites topography were made by Confocal Microscopy 3D (CM3D). A Leica DCM 3D unit to 150× magnifications was used for measuring fifty-seven profiles in three different areas for each optimum composite electrode (ISO 4287). Electrical resistance measurements were performed by means of a digital multimeter (Fluke, Everett, WA, USA). Lastly, the carbon content was evaluated by thermogravimetric analysis (TGA) [42], using a Netzsch instrument, model STA 449 F1 Jupiter®. A ~20 mg of sample was heated to 1000 °C at 10 °C/min, using flow of air. The mass of the sample was continuously measured as a function of temperature and the rate of weight loss (d.t.g.) was automatically recorded.

Composite preparation

A resin Epotek H77 and its corresponding hardener compound were mixed in the ratio of 20:3 (w/w). Three series of MWCNT/epoxy composites were prepared by loading different amounts of CNTs, from 1 to 20 % (w/w) into the epoxy resin before hardening. The composites were homogenized for 1 h. The mixture was blended thoroughly and placed in the hollow end of a PVC tube to form the body of the electrode [9]. The composite paste thickness in the electrode was 3 mm. Then, the composite paste electrodes were allowed to harden during 24 h at 80 °C [5]. Afterward, composite electrodes surfaces were polished with different sandpapers of decreasing grain size. The final electrode dimensions were 28 mm2 of physical circular area. The three series of MWCNT/epoxy composites were made in the same way but modifying the MWCNT nature. Thus, the first series was MWCNT-1/epoxy composites and they contain MWCNT-1, C1. The second series consists of MWCNT-2/epoxy composites, C2. Finally, the third series of composites was made dispersing MWCNT-3 into epoxy resin, C3.

Results and discussion

Physical properties characterization of raw MWCNTs

Diameter and length of the three different MWCNTs (MWCNT-1, MWCNT-2, and MWCNT-3) were calculated from TEM images (Fig. 1). For the measurements, a greater dispersion of these tubes was needed. After an accurate data compilation, an important difference between the experimental results and the specifications provided by the manufacturers were found as it is shown in Table 1.

Fig. 1
figure 1

TEM images for a MWCNT-1, b MWCNT-2, and c MWCNT-3

Table 1 Physical parameters of raw MWCNTs were studied and compared with values given by the manufacturers (MFG)

Firstly, it was observed a shorter MWCNT length than the specified one by the manufacturers which were above 5 µm for MWCNT-3 and above 1 µm for the rest. Both lower and upper length limit values obtained by TEM images were shorter than the specified by the manufactures, as shown in Table 1. Thus, 0.5 µm was the estimated lower length limit value for the three kinds of MWCNTs. Regarding to the upper length, 1.5, 2.0, and 2.5 µm were the values obtained for MWCNT-1, MWCNT-2, and MWCNT-3, respectively.

Secondly, the diameter was another characteristic that shows really different results as well. MWCNT-1 and MWCNT-2 obtained superior diameters for both lower and upper limit. Moreover, while MWCNT-1 was expected to be narrower than MWCNT-2, the result was contrary and MWCNT-1 became the widest. Finally, MWCNT-3 had the diameter value closer to the provided by Sigma-Aldrich, emerging the narrowest.

On the other hand, TGA analysis reveals information about purity of MWCNTs, as to percentage of carbon referred. It has been observed that all the carbon was oxidized to CO2 at 600 °C in air atmosphere [43]. The background line is because of the metallic catalyst residues. In this case, the purity obtained by TGA for each MWCNT was slightly higher than the specified one.

In brief, length, diameter, and purity values obtained by TEM and TGA for all studied MWCNTs were different from the values given by the manufacturers. Considering length and purity experimental values were homogeneous for each MWCNT, the study was focused on the effect of the diameter in the electroanalytical response of the composite sensors.

Electrical characterization

The electrical properties of the MWCNT composite electrodes were investigated by percolation theory [22]. In order to estimate the maximum conductivity value of the composite materials with the minimum conductive particle loading, each series of MWCNT/epoxy composites was tested following the experimental procedure previously presented. While C1, C2, and C3 composites contained more than 20 % of MWCNTs had a poor mechanical stability, those composites contained less than 1 % exhibited resistivity values that tend to infinity. Analytically, a lower resistivity value produces a higher sensitivity. The percolation threshold (PT) zone was achieved around 1 % in conductor material because at this point the first conductive network is formed throughout the matrix. Resistivity decreases rapidly below PT by several orders of magnitude to a minimum value, where variations in resistivity are negligible. It is important to highlight that MWCNTs loading has to be high enough to guarantee a conducting pathway and sufficiently low bulk resistivity. Due to this fact, the study was based on the zone right below PT zone, see Fig. 2. After the experiments, three different conductive regions (Fig. 2b) were determined regarding the electrical behavior: high resistance zone composite (HRC), near-percolation zone or second percolation zone composite (NPC), and low resistance zone composite (LRC).

Fig. 2
figure 2

Percolation curve obtained for the rigid conducting composites based on the polymer epoxy and raw MWCNTs for a C1, b C2, and c C3. b describes HRC High resistivity zone composites, and thus lowly conducting; PC percolation zone composites, NPC Near-percolation zone composites, and LRC Low resistivity zone composites, and thus highly conducting

Comparing the electrical differences between the three series of MWCNT/epoxy composites, a displacement in the NPC is observed in Fig. 2. This fact is due to the differences of the MWCNTs diameter. For composites loaded with MWCNT-1 which have a greater diameter, around 12 % in MWCNTs was the needed load to fall on the second PT, Fig. 2a. However, composites containing MWCNT-3 had the lowest diameter and the first point that fell on the NPC was around 5 % in MWCNTs, Fig. 2c. Finally, for MWCNT-2, the first composition that fell on the second PT zone was 10 % in MWCNTs, as it is shown in Fig. 2b. Thus, as diameter of raw MWCNTs decreases, a leftward displacement on the second PT zone was observed, due to the increase of surface area for the same percentage of MWCNTs in the composite, see Table 2. Consequently, a lower load of MWCNTs is required for those composites that contain the narrowest nanotubes (C3).

Table 2 Electrochemical impedance spectroscopy data of 0.01 M Fe(CN6)3−/4− in 0.1 M KCl are showed by optimum composites and composites with maximum charge (20 % in MWCNTs load)

Electrochemical impedance spectroscopy measurements

Ohmic resistance (RΩ), charge transfer resistance (Rct), and double-layer capacitance (Cdl) for composites with different MWCNT loadings were evaluated for the three series of MWCNT/epoxy composites by EIS technique. These parameters were obtained by fitting the impedance spectra to a simple equivalent circuit: RΩ·(Rct·Cdl), using the equilibrium potential previously obtained by CV. This circuit was sufficiently suitable to interpret the RΩ, Rct, and Cdl values in terms of the interfacial phenomena that occur at the electrochemical cell, Fig. 3. If in a previous study was demonstrated a general trend of these physical parameters as a function of MWCNT loading [26], in this work is attempted to obtain the relation between raw MWCNTs diameter and the electrochemical response of the composite electrodes.

Fig. 3
figure 3

Impedance spectra for different MWCNT-3 loading electrodes (C3) in the presence of 0.01 M [Fe(CN)6]3−/4− and 0.1 M KCl. RΩ·(Rct·Cdl) were the equivalent circuit used for the impedance spectra fitting. MWCNT-3 containing electrodes a from 3 to 20 % in nanotubes and b zoom of the low impedance composite electrodes (from 10 to 20 %)

Accordingly, 15 different compositions of MWCNT/epoxy composite electrodes were studied for each series by changing the MWCNT loading from 1 to 20 %. For each MWCNT composition, three equal electrodes were prepared and evaluated in order to obtain the reproducibility of the composites. From NPC to LRC (>10 % of MWCNT loading for C1, >9 % for C2, and >5 % for C3) impedance values showed a kinetically controlled response for those composites with low resistivity due to the impedance behavior was dominated by a small diameter semicircle. In some cases, the diffusion-controlled process started to be discerned at low frequencies. On the other hand, the impedance plots for composites from HRC to near-percolation resistance (<10 % for C1, <9 % for C2, and <5 % for C3, percentage expressed in MWCNTs content) appeared to be dominated by a big diameter semicircle and only the kinetic-controlled electrode process was present in the recorded frequency range. An example of this behavior is shown in Fig. 3 for MWCNT-3/epoxy composite electrodes (C3).

RΩ parameter, which is dependent on the ionic concentration, the type of ions and also the electrode area, consists of the solution resistance in series with the contact or the ohmic composite resistance. C1, C2, and C3 showed a RΩ decrease at the same time that the MWCNT loaded increased, as shown in the black plots in Fig. 4. Whereas at low carbon loads the ohmic resistance is dominated by ohmic composite resistance, at higher carbon loads the ohmic resistance is more dominated by the solution resistance.

Fig. 4
figure 4

Values of ohmic resistance (RΩ, black square), charge transfer resistance (Rct, light gray square), and double-layer capacitance (Cdl, dark gray square), with their corresponding standard deviation (n = 3) for a C1, b C2, and c C3. The redox probe [Fe(CN6)]3−/[Fe(CN6)]4− was used

Concerning Rct, this parameter is well known as a useful parameter reflecting the facility of electrode reaction, which can be measured by EIS from the semicircle diameter in the Nyquist plots [44]. Moreover, the charge transfer resistance was inversely proportional to the heterogeneous charge transfer rate and also affected the sensitivity and response time of the electrode. From Fig. 4, the light gray plots show the decrease of Rct with the increasing of MWCNTs load because of the rise of electroactive sites. This increase also exhibits an enhancement on the electrodes kinetics. It is known that the electrode kinetics of CNTs electrodes is dependent on the CNTs nature and structure. Thus, the electroactive area becomes different from a same percentage of MWCNTs, depending on the raw MWCNTs nature; as a matter of fact it was the diameter for this study. However, electroactive area was very similar for MWCNT/epoxy near-percolation composites, motivating to think that they should have a similar electroanalytical behavior, see Table 2. This fact demonstrated again the importance of characterizing both raw carbon material and CNT/resin ratio in order to make the best electrochemical sensor. Moreover, it was observed that composites with low charge transfer resistances were the most appropriate to be used in electrochemical measurements. According to the results, composites between NPC and LRC presented lower charge transfer values. The use of near-percolation composite electrodes guarantees a fast electron exchange. In spite of the enhanced kinetics, high load of conducting material can increase the background current and smear the Faradaic signal response, especially when the electroactive species are present in low concentration. As a consequence, it is important to consider the remaining impedance parameter represented by the double-layer capacitance which is directly related to the charging or background current.

An increase of Cdl values was obtained for electrodes comprising high surface area of conducting material. In general, composites contain only a fraction of conductive area exposed to the solution and the other fraction is occupied by the insulating polymer. The electrode capacitance, which is determined nearly exclusively by the exposed carbon, becomes low and because of that the background current decreases. This fact enhances the signal to noise ratio and consequently decreases the analyte detection limits (LOD). The decrease of the double-layer capacitance values with the decrease of the MWCNT loadings can be observed in Fig. 4 (dark gray plots).

An electrode for electroanalytical purpose must have a rapid response time, low limit of detection, and high sensitivity. According to the impedance results and taking that into account, the interval between 10 and 12 % of MWCNT-1 loading fulfill all these requirements for MWCNT-1/epoxy composites, C1. For C2, the optimum ratio was between 9 and 10 % of MWCNT-2. Those intervals are similar because of the proximity of their diameter. Finally, an interval around 5–6 % in MWCNT-3 load was considered the optimum to obtain the best electroanalytical response for MWCNT-3/epoxy composites, C3. These results demonstrated that the optimum interval of MWCNT/epoxy ratio was closely tied to raw MWCNTs nature.

It is worthy to highlight that the manufactured composites in the optimum carbon load intervals mentioned above presented similar electrochemical performance. The benefit of working within these intervals led to an increase of the electrochemical reproducibility. Furthermore, it is assured the compromise to work with electrodes with low resistivity and high signal-noise ratio.

Finally, it was observed that the optimum interval of MWCNT/epoxy ratio for each series was in agreement with the obtained results in the percolation curve.

Cyclic voltammetry characterization

CV was used in order to obtain the equilibrium electrode potential of each composite composition, necessary parameter to make EIS measurements. Moreover, it was also used to compare the results obtained with the EIS technique. Different parameters were calculated at the same experimental conditions from the cyclic voltammograms, such as the equilibrium electrode potential (Eeq), peak separation potential (ΔE), and peak current (Ip). The relative electroactive area (A) was estimated from the peak-shaped voltammograms by quantifying the peak current with the use of this relationship, \( {\text{I}}_{\text{p}} = 3.0 1\cdot 10^{ 5} {\text{n}}^{ 3/ 2} \left( {\alpha {\text{D}}_{\text{red}} \upsilon } \right)^{ 1/ 2} {\text{AC}}_{\text{red}}^{*} \) [45], which is appropriate for electron transfer-controlled processes, Table 2. An increase of the peak current with the MWCNT loading was observed for each series, due to an increase of the electroactive area, together with a decrease of peak separation related to an enhancement of the electron transfer rate. Figure 5 shows the cyclic voltammogram of the three optimized carbon load composites previously selected for each series (5 % for C1, 10 % for C2, and 12 % for C3). Non-significative changes of ΔE and Ip were observed, demonstrating again that the optimum composites have the same electrochemical behavior and that their performance depends on the raw MWCNTs diameter.

Fig. 5
figure 5

Cyclic voltammogram for three optimum composite electrodes recorded in 0.01 M Fe(CN6)3−/4− and 0.1 M KCl. Scan rate 10 mV/s

Morphological characterization

Roughness surfaces of NPC electrodes were compared for the three different MWCNT/epoxy composites. Thus, the topography of each optimum composite was measured by CM3D. Figure 6 presents the most significant images obtained during the electrode surface study. Based on these results showed in Table 3, it was determined that the three optimum electrode topographies were strongly similar, in spite of the differences with carbon loading. These results were the expected due to their electroactive areas (A) are much similar, as it is shown in Table 2. Once again it is corroborated that the physical properties of raw nanotubes are crucial in the electrochemical response of the sensor.

Fig. 6
figure 6

Topographic images of the optimum a C1 b C2, and c C3 composites for each series were obtained with the 3D Optical Surface Metrology System Leica CM3D for the roughness study

Table 3 Roughness values collected from surface analysis

Electroanalytical performance

Ascorbic acid was used as a reference analyte for evaluating the electroanalytical characteristics of sensors. The MWCNT/epoxy composite response to the change of ascorbic acid concentration was evaluated by hydrodynamic amperometric measurements. The analytical parameters as the LOD and sensitivity were evaluated for the optimum composite electrode composition of each series and compared with the most concentrated composites prepared (20 % in carbon load), see Table 2. Furthermore, 20 % in carbon load is the convectional composition used in the vast majority of previous studies reported by our research group [5, 46]. Comparing optimum composite sensors with the ones which contain 20 % in carbon load, the best LOD was obtained for optimized-composite sensors, although the most concentrated composites prepared contain a higher number of transducer particles. A lower MWCNTs load results in a increase of the signal to noise ratio, Cdl. C3 sensors containing 20 % in carbon load could not be amperometrically stabilized due to their high value of Cdl. 9 % of MWCNT-3 was the highest carbon load which could be measured in this series. The LOD obtained for this electrode composition was 0.68 ppm, higher than optimized-composite electrode composition (5 % for C3).

On the other hand, comparing among series, the lower LOD was obtained for the optimum composite composition which contains nanotubes with the narrowest diameter (MWCNT-3). MWCNT-1 and MWCNT-2 optimum composites loading are closely similar that the same LOD was obtained. These results showed again the Cdl effect on the amperometry measurements. Finally, in agreement with the percolation theory and the electrochemical results, the best sensor for each series of MWCNTs in terms of LOD is the one which just falls on second PT zone: 5 % for C1, 10 % for C2, and 12 % for C3.

Conclusions

Purity and dimensions of raw MWCNTs (in powder form) were studied and compared with the provided values by the manufacturers. While the carbon content is in good agreement with the manufacturer specifications, the length is significantly shorter and the diameter is proved to be strongly different. Considering the purity and length as constant parameters, the diameter value could be considered as the only variable. One of the most important parameters that determines the composite conductivity and the percolation behavior of the MWCNTs is the aspect ratio. Thus, a leftward displacement on the NPC could be observed, only needing 5 % in carbon load the narrowest MWCNT containing composites (MWCNT-3) in comparison with 12 % for the widest, MWCNT-1. Therefore, the CNT diameter is a key parameter to optimize the composite ratio, needing less carbon load for the narrowest nanotubes.

The electrochemical measurements (EIS and CV) were in concordance with the results achieved by electrical experiments (PT), obtaining the same optimum MWCNT/epoxy ratio for each series. A minimum LOD for 5 % MWCNT-3/epoxy electrode was obtained when it was used as a working electrode for ascorbic acid detection as reference analyte, due to the Cdl value turned out to be the lowest and this parameter is directly connected with the signal to noise ratio. On the other hand, non-optimized composites (20 % in carbon load) presented a higher LOD, showing the necessity of optimizing the MWCNT/polymer ratio. Accordingly, an optimum characterization of the raw carbon material before their application for amperometric sensors is required to obtain an optimal composite electrode composition which contains high sensitivity, low limit of detection, fast response, and electroanalytical reproducibility.