Carbon-Supported Copper-Based Nitrogen-Containing Supramolecule as an Efficient Oxygen Reduction Reaction Catalyst in Neutral Medium

In this work, a nitrogen-containing bidentate ligand named 5,5′-(9-octyl-9H-carbazole2,7-diyl)bis(1,10-phenanthroline) (OCBP) was synthesized as a nitrogen precursor for making an oxygen reduction catalyst. The 1,10-phenanthroline unit provides a coordination site for copper ions, and the resulting Cu-Nx unit may be responsible for the catalytic activities of the catalyst. Carbon black was selected as a support to improve the electroconductibility of the resulting catalyst. The metallo-supramolecule (Cu-SOCBP) was dispersed on the surface of Vulcan XC-72 carbon and was used as a catalyst (designated as Cu-SOCBP/C) for the oxygen reduction reaction (ORR). The microscope structure and surface components of the catalyst were acquired via scanning electron microscopy and X-ray photoelectron spectroscopy, as well as X-ray powder diffraction. The electrochemical property and ORR mechanism of Cu-SOCBP/C were analyzed using a variety of electroanalytical methods including cyclic voltammetry, electrochemical impedance spectroscopy, and linear sweep voltammetry. These results show that Cu-SOCBP/C was successfully synthesized and that ORR was achieved mainly via a four-electron transfer process to water. Thus, Cu-SOCBP/C was an effective catalyst and might have potential application as a cathodic catalyst in microbial fuel cells, which operate in an aqueous medium.


Introduction
Fuel cells are efficient devices that can convert the energy of fuels such as hydrogen or methanol into electricity via an electrochemical reaction with an oxidant such as oxygen in the air.In the fuel cell reaction, oxygen is reduced at the cathode, and hydrogen is oxidized at the anode [1,2].As a newer energy source, fuel cells have broad application prospects because of their high efficiency and cleanness [3].However, the sluggish reaction kinetics of the oxygen reduction reaction (ORR) that occur on the cathode lead to larger voltage losses, and this might subsequently decrease the energy conversion efficiency of fuel cells [4].Pt and its alloys are the best choices as oxygen reduction catalysts, but the limited abundance and high cost of Pt restricts the larger-scale commercial use of fuel cells [5][6][7].
Recently, scientists have been looking for alternatives to platinum catalysts that are also low-cost and high-efficiency.Some non-precious metal catalysts (such as nitrogen-doped carbon (NDC) [8,9], metal-containing NDC materials [10,11], metal oxides [12], alloy [13], and transition metal complexes [14][15][16][17]) are promising and have broad application prospects in fuel cells.In recent years, transition metal complexes have attracted wide attention because of their low cost, facile preparation process, and competitive catalytic activities compared to these properties of the commercial Pt catalyst [14][15][16][17].
Some transition metals (including iron, cobalt, and copper) are thought to serve as key components of catalysts, and these metal ions can be coordinated with nitrogen pockets of some nitrogen-rich molecules, such as macrocyclic compounds [14][15][16][17], phenanthroline [18], terpyridines [19], and N-containing heterocyclic polymers [20].Transition metal complexes generally have favorable catalytic activity for ORR, and the dispersion, deposition, or doping of these catalysts on carbon support materials substantially enhances ORR activity because of the performance improvements of many aspects of the catalysts.These aspects include high dispersion, conductivity, and an enhanced rate of mass transfer, such as charge transfer, oxygen uptake, and hydrogen uptake on the active site of the catalyst [21][22][23][24].This type of modified catalyst is generally designated as Me-N x /C, where Me represents the complexed metal ions, N x refers to nitrogen atoms with complexing ability, and C refers to carbon materials as the supporters of the supramolecule complex.In recent years, Me-N x /C-type catalysts have shown great potential in the practical operation of various fuel cells [25].At present, some organic complexes formed between transition metal ions and nitrogen-containing chelating compounds have been prepared, showing an ORR catalytic performance rivaling or better than that of the Pt-based catalysts [24,25].
As a bidentate ligand, phenanthroline (phen) and its derivatives have frequently been used to construct transition metal complexes as ORR catalysts because of their high affinity for metal ions and commercial availability with low cost [26].Recently, we immobilized the phen unit within conductive polymers via a covalent linkage, which was then composited with carbon powder to form a composite catalyst showing comparable ORR performance with respect to the Pt/C catalyst.The extended conjugation length of the polymer is beneficial to enhance the adsorption effect between the polymer and carbon materials through a π-π interaction, and ultimately lead to improvement in ORR activity [17].
In this work, a novel bis-phen ligand was designed and synthesized by linking two phen units with carbazole as a spacer.In addition, a metallo-supramolecule polymer was prepared from the bis-phen ligand and copper ion(II), which then was composited with carbon powder to give a composite ORR catalyst.The ORR ability of the catalyst was studied in detail in phosphate buffer, a media often employed by the microbial fuel cell.The results showed that the copper-based coordination polymer might be considered as a potential candidate for an ORR catalyst for microbial fuel cell (MFC) applications.

SEM and Physisorption
The stability and catalytic activity of the catalyst depend largely on the surface microstructure and elemental compositions, and knowing these things can help in understanding the oxygen reduction mechanisms of the catalyst [3,17].Therefore, SEM images of both carbon black and the Cu-SOCBP/C catalysts were recorded and are shown in Figure 1.As shown in Figure 1a, the microstructure of carbon was primarily spherical particles, and the irregular accumulation of these particles led to the formation of a porous microstructure on the surface of the carbon black.As clearly seen in Figure 1a, the average radius of the carbon particles is about 35-60 nm.However, the morphology of the Cu-SOCBP/C catalyst is markedly different from that of black carbon, which served as the supporting material for the preparation of the catalyst.The obvious changes in the microstructure of Cu-SOCBP/C are found when comparing with that of carbon black (Figure 1b), and the aggregation of the catalyst might be caused by interactions between Cu-SOCBP and carbon black.The microstructure of the carbon powder is preserved to a certain extent in the Cu-SOCBP/C composite.As previously reported, porous properties of the catalysts can increase the contact area and also provide more channels for the efficient transportation of some substances, including O 2 , H 2 O, H 2 O 2 , and other intermediates [27].This favorable structure may play a pivotal function in improving the ORR activity of materials.and also provide more channels for the efficient transportation of some substances, including O2, H2O, H2O2, and other intermediates [27].This favorable structure may play a pivotal function in improving the ORR activity of materials.The surface areas and pore volumes of the samples including Vulcan XC-72 carbon and Cu-SOCBP/C were determined by nitrogen sorption analysis [28].The sorption isotherms of samples are shown in Figure 2. From this figure, a total surface area of 166.67 m 2 /g, and a pore volume of 0.30 cm 3 /g was obtained for Vulcan XC-72 carbon, and the corresponding data for Cu-SOCBP/C were 70.46 m 2 /g and 0.21 cm 3 /g, respectively.The decrease in both of the parameters of Cu-SOCBP/C compared to those of the carbon powder was another indication of the formation of Cu-SOCBP/C.

XPS and Powder X-ray Diffraction of the Catalyst
Chemical compositions and their valence states were analyzed via XPS measurements.For Cu-SOCBP, the N 1s spectrum has two obvious peaks.One is the main peak located at 399.7 eV (Figure 3a), and the other is the acromion of the main peak at a higher binding energy of 401.8 eV.Obviously, the peak at 401.8 eV corresponds to pyrrolic-N in the carbazole ring of the ligand, and the peak at 399.7 eV is a definite indication of the presence of pyridinic-N in the composite (Figure 3a).The presence of two types of nitrogen elements was consistent with the structure of Cu-SOCBP.The binding energies of pyridinic-N found in this study were higher than those usually reported for pyridinic-N, and this is an apparent indication of complexation between copper ions and The surface areas and pore volumes of the samples including Vulcan XC-72 carbon and Cu-SOCBP/C were determined by nitrogen sorption analysis [28].The sorption isotherms of samples are shown in Figure 2. From this figure, a total surface area of 166.67 m 2 /g, and a pore volume of 0.30 cm 3 /g was obtained for Vulcan XC-72 carbon, and the corresponding data for Cu-SOCBP/C were 70.46 m 2 /g and 0.21 cm 3 /g, respectively.The decrease in both of the parameters of Cu-SOCBP/C compared to those of the carbon powder was another indication of the formation of Cu-SOCBP/C.and also provide more channels for the efficient transportation of some substances, including O2, H2O, H2O2, and other intermediates [27].This favorable structure may play a pivotal function in improving the ORR activity of materials.The surface areas and pore volumes of the samples including Vulcan XC-72 carbon and Cu-SOCBP/C were determined by nitrogen sorption analysis [28].The sorption isotherms of samples are shown in Figure 2. From this figure, a total surface area of 166.67 m 2 /g, and a pore volume of 0.30 cm 3 /g was obtained for Vulcan XC-72 carbon, and the corresponding data for Cu-SOCBP/C were 70.46 m 2 /g and 0.21 cm 3 /g, respectively.The decrease in both of the parameters of Cu-SOCBP/C compared to those of the carbon powder was another indication of the formation of Cu-SOCBP/C.

XPS and Powder X-ray Diffraction of the Catalyst
Chemical compositions and their valence states were analyzed via XPS measurements.For Cu-SOCBP, the N 1s spectrum has two obvious peaks.One is the main peak located at 399.7 eV (Figure 3a), and the other is the acromion of the main peak at a higher binding energy of 401.8 eV.Obviously, the peak at 401.8 eV corresponds to pyrrolic-N in the carbazole ring of the ligand, and the peak at 399.7 eV is a definite indication of the presence of pyridinic-N in the composite (Figure 3a).The presence of two types of nitrogen elements was consistent with the structure of Cu-SOCBP.The binding energies of pyridinic-N found in this study were higher than those usually reported for pyridinic-N, and this is an apparent indication of complexation between copper ions and

XPS and Powder X-ray Diffraction of the Catalyst
Chemical compositions and their valence states were analyzed via XPS measurements.For Cu-SOCBP, the N 1s spectrum has two obvious peaks.One is the main peak located at 399.7 eV (Figure 3a), and the other is the acromion of the main peak at a higher binding energy of 401.8 eV.Obviously, the peak at 401.8 eV corresponds to pyrrolic-N in the carbazole ring of the ligand, and the peak at 399.7 eV is a definite indication of the presence of pyridinic-N in the composite (Figure 3a).The presence of two types of nitrogen elements was consistent with the structure of Cu-SOCBP.The binding energies of pyridinic-N found in this study were higher than those usually reported for pyridinic-N, and this is an apparent indication of complexation between copper ions and pyridinic-N [29,30].Furthermore, this also suggests the formation of the supramolecule metal complex, as indicated in Scheme 1.
To confirm the presence and form of the copper ions, the Cu 2p spectrum was recorded and is presented in Figure 3b; the spectrum clearly confirms the presence of copper ions on the surface of the Cu-SOCBP/C catalyst.There are two pairs of Cu 2p peaks; one pair of peaks is located at 935.0 and 932.4 eV and represents the binding energy of Cu 2p 3/2 .The second pair of Cu 2p peaks is located at 952.3 eV and 954.9 eV and can be ascribed to the binding energy of Cu 2p 1/2 [17].The Cu 2p peaks at 935 eV and 954.9 eV and the satellite peak at 945 eV were definitive evidence for the presence of the coordinated copper ion(II) (Scheme 1).Besides, the Cu 2p peaks at 932.4 eV and 952.3 eV suggested the presence of the copper ion(II) in CuSO 4 , which might be temporarily adsorbed on carbon materials [31].
As previously reported, pyridinic-N and its complex with transition metal ions (e.g., Cu-N x ) are the main active sites for ORR activity, and in particular, the formation of Cu-N x complexes can substantially enhance catalytic ORR activity [11].The above XPS analyses confirm the formation of the Cu-SOCBP supramolecule complex, which contained large amount of Cu-N x moieties within the catalyst and made it possible for Cu-SOCBP/C to become an efficient oxygen reduction catalyst.pyridinic-N [29,30].Furthermore, this also suggests the formation of the supramolecule metal complex, as indicated in Scheme 1.
To confirm the presence and form of the copper ions, the Cu 2p spectrum was recorded and is presented in Figure 3b; the spectrum clearly confirms the presence of copper ions on the surface of the Cu-SOCBP/C catalyst.There are two pairs of Cu 2p peaks; one pair of peaks is located at 935.0 and 932.4 eV and represents the binding energy of Cu 2p3/2.The second pair of Cu 2p peaks is located at 952.3 eV and 954.9 eV and can be ascribed to the binding energy of Cu 2p1/2 [17].The Cu 2p peaks at 935 eV and 954.9 eV and the satellite peak at 945 eV were definitive evidence for the presence of the coordinated copper ion(II) (Scheme 1).Besides, the Cu 2p peaks at 932.4 eV and 952.3 eV suggested the presence of the copper ion(II) in CuSO4, which might be temporarily adsorbed on carbon materials [31].
As previously reported, pyridinic-N and its complex with transition metal ions (e.g., Cu-Nx) are the main active sites for ORR activity, and in particular, the formation of Cu-Nx complexes can substantially enhance catalytic ORR activity [11].The above XPS analyses confirm the formation of the Cu-SOCBP supramolecule complex, which contained large amount of Cu-Nx moieties within the catalyst and made it possible for Cu-SOCBP/C to become an efficient oxygen reduction catalyst.The formation of the Cu-SOCBP/C composite was further verified by powder X-ray diffraction (XRD.Figure 4 shows the XRD spectra of the Vulcan XC-72 powder and Cu-SOCBP/C.Two broad XRD peaks centered at 24.9° and 43.3° were observed for the carbon powder, which could be attributed to the inter-plane (002) and inner-plane (110) reflections of graphitic carbon, respectively [32].After the introduction of Cu-SOCBP additives, both the 002 (2θ = 24.7°)and the 110 (2θ = 42.9°)peaks shifted to slightly lower angles, suggesting a slightly larger d-spacing of the carbon powder.Also, the inner-plane (110) reflection of the composite became flatter compared with that of the net carbon powder, which indicated the enlarged amorphous property of the composite.Furthermore, a new XRD peak (2θ = 36.1°)emerged for the Cu-SOCBP/C composite, which might be caused by the introduction of Cu-SOCBP to the carbon powder [32].The formation of the Cu-SOCBP/C composite was further verified by powder X-ray diffraction (XRD.Figure 4 shows the XRD spectra of the Vulcan XC-72 powder and Cu-SOCBP/C.Two broad XRD peaks centered at 24.9 • and 43.3 • were observed for the carbon powder, which could be attributed to the inter-plane (002) and inner-plane (110) reflections of graphitic carbon, respectively [32].After the introduction of Cu-SOCBP additives, both the 002 (2θ = 24.7 • ) and the 110 (2θ = 42.9 • ) peaks shifted to slightly lower angles, suggesting a slightly larger d-spacing of the carbon powder.Also, the inner-plane (110) reflection of the composite became flatter compared with that of the net carbon powder, which indicated the enlarged amorphous property of the composite.Furthermore, a new XRD peak (2θ = 36.1 • ) emerged for the Cu-SOCBP/C composite, which might be caused by the introduction of Cu-SOCBP to the carbon powder [32].

Cyclic Voltammetry of the Catalyst
CV was used to evaluate the electrocatalytic activity of Cu-SOCBP/C for ORR.The potential window used in the cyclic voltammogram was from −0.19 V to 1.11 V (vs.RHE) for Cu-SOCBP/C and 0 V to 1.2 V for the commercial Pt/C catalyst.Figure 5a shows two CV curves of the Cu-SOCBP/C catalyst in a medium of 0.1 M PBS (pH = 7); one saturated with O2, and one saturated with N2.The CV curve recorded in the N2 atmosphere shows a pair of irreversible redox peaks at 0.55 V/0.50 V, and these can be ascribed to the redox reaction process of Cu + /Cu 2+ ; this further confirmed the immobilization of copper ions within the catalyst [17,21].In contrast, when N2 was replaced by O2 as the bubbling gas, it was observed that both the oxidation current and reduction current increased substantially.In particular, the reduction current increased to 0.47 mA, which is nearly six times greater than that measured in the N2-saturated electrolyte.By comparison, it is

Cyclic Voltammetry of the Catalyst
CV was used to evaluate the electrocatalytic activity of Cu-SOCBP/C for ORR.The potential window used in the cyclic voltammogram was from −0.19 V to 1.11 V (vs.RHE) for Cu-SOCBP/C and 0 V to 1.2 V for the commercial Pt/C catalyst.Figure 5a shows two CV curves of the Cu-SOCBP/C catalyst in a medium of 0.1 M PBS (pH = 7); one saturated with O 2 , and one saturated with N 2 .The CV curve recorded in the N 2 atmosphere shows a pair of irreversible redox peaks at 0.55 V/0.50 V, and these can be ascribed to the redox reaction process of Cu + /Cu 2+ ; this further confirmed the immobilization of copper ions within the catalyst [17,21].In contrast, when N 2 was replaced by O 2 as the bubbling gas, it was observed that both the oxidation current and reduction current increased substantially.In particular, the reduction current increased to 0.47 mA, which is nearly six times greater than that measured in the N 2 -saturated electrolyte.By comparison, it is obvious that the increase in the reduction current was because of the reduction of oxygen catalyzed by the Cu-SOCBP/C-modified electrode.Thus, it is preliminarily concluded that Cu-SOCBP/C has electrocatalytic activity for ORR, and this is consistent with the Cu-N x -enriched structure [17,21].
To gain comprehensive insights into the catalytic activity of the Cu-SOCBP/C catalyst, CV measurements of the commercial Pt/C catalyst were also taken in the PBS solution saturated with oxygen with a potential window from 0.01 V to 1.21 V (vs.RHE).As shown in Figure 5b, the reduction peak potential of Cu-SOCBP/C is somewhat more negative than that of Pt/C, whereas the maximum reduction current was 1.25 times greater than that of Pt/C.To further verify the catalytic activity of Cu-SOCBP/C, the ORR activity of the carbon powder was also tested in the same way (Figure S1, see Supplementary Materials).The reduction peak and reduction current was 0.30 V and 0.20 mA, respectively, for the net carbon powder, which verified the improvement in ORR activity by the formation of the Cu-SOCBP/C composite.

Linear Sweep Voltammetry
The electron transfer number (n) involved in the ORR process is a pivotal parameter in determining the catalytic activities of ORR materials; n can be obtained via routine electrochemical measurements.For this purpose, LSV curves of the catalysts (including Cu-SOCBP/C and Pt/C) were record on an rotating disk electrode (RDE) electrode at different rotating rates from 400 rpm to 1600 rpm. Figure 6a shows that, at different rotating rates, there were only tiny currents in the PBS that was saturated with N2.However, the current densities increased rapidly when the testing buffer was saturated with oxygen, and this was apparently caused by the catalytic reduction of oxygen in the buffer solution (Figure 6b).
The RDE curves of the catalysts had roughly the same shape, and can be divided into two obvious different regions: one is the kinetic/diffusion current region, and the other is the diffusion control region.It should be noted that different potential windows were selected for each of the catalysts due to their expected different onset reduction potentials (Eonset).For the Cu-SOCBP/C catalyst, the kinetic/diffusion current region was observed from 0.2 V to 0.62 V, and in this region, Repeated CV measurements were taken for over 500 cycles between −0.19 V to 1.11 V in an oxygen-saturated electrolyte to study the stability of Cu-SOCBP/C.After 500 cycles, a slight decrease in the reduction current (less than 2.0%) and a positive shift in the reduction potential were observed (in Figure 5c), indicating that the Cu-SOCBP/C catalyst has good electrochemical stability.The data indicates that Cu-SOCBP/C has roughly the same power of ORR activity as the Pt/C catalyst.

Linear Sweep Voltammetry
The electron transfer number (n) involved in the ORR process is a pivotal parameter in determining the catalytic activities of ORR materials; n can be obtained via routine electrochemical measurements.For this purpose, LSV curves of the catalysts (including Cu-SOCBP/C and Pt/C) were record on an rotating disk electrode (RDE) electrode at different rotating rates from 400 rpm to 1600 rpm. Figure 6a shows that, at different rotating rates, there were only tiny currents in the PBS that was saturated with N 2 .However, the current densities increased rapidly when the testing buffer was saturated with oxygen, and this was apparently caused by the catalytic reduction of oxygen in the buffer solution (Figure 6b).
The RDE curves of the catalysts had roughly the same shape, and can be divided into two obvious different regions: one is the kinetic/diffusion current region, and the other is the diffusion control region.It should be noted that different potential windows were selected for each of the catalysts due to their expected different onset reduction potentials (E onset ).For the Cu-SOCBP/C catalyst, the kinetic/diffusion current region was observed from 0.2 V to 0.62 V, and in this region, the reaction rates were controlled simultaneously via charge transfer and the mass transfer rate.At the same time, the diffusion control region of Cu-SOCBP/C was found under 0.2 V; in this region, the reaction rate was only controlled via the mass transfer rate, and the linear polarization curves have well-defined plateaus with a constant maximum current value [33].
Catalysts 2018, 8, x FOR PEER REVIEW 7 of 17 RHE for the Cu-SOCBP/C catalyst [17].For comparative purposes, the RDE measurements of Pt/C were also taken with a potential window from 0 V to 1.2 V vs. RHE in the same test buffer as that of Cu-SOCBP/C.As shown in Figure 6b, the kinetic/diffusion current region of Pt/C occurred at 0.87 V to 0.31 V, and the diffusion control region was observed below 0.31 V.In addition, Pt/C has an onset reduction potential of 0.87 V, which is higher than that of the Cu-SOCBP/C catalyst.For comparison, Figure 6c shows the RDE curves of the two catalysts at 1600 rpm; the onset reduction potentials and limiting-current densities were 0.62 V and 4.3 mA cm −2 , respectively, for Cu-SOCBP/C and 0.87 V and 5 mA cm −2 , respectively, for Pt/C.The RDE curves of the Vulcan XC-72-modified electrode were also determined, and exhibited a much lower Eonset (0.43 V), as well as much lower limiting current densities compared to those of the Cu-SOCBP/C catalyst (Figure S2).
The data indicates that the catalytic activity of Cu-SOCBP/C was a little poorer than that of the Pt/C catalyst.Nevertheless, considering the low-cost advantages of Cu-SOCBP/C catalysts, it might still be a promising cathodic catalyst in some fuel cells, such as MFCs.To obtain the value of n involved in ORR activity for the Cu-SOCBP/C catalyst, the data acquired from RDE measurements were used to construct the Koutecky-Levich (K-L) equations [17]: In Equations ( 1) and ( 2), the physical meaning of the related parameters (including i, ik, ω, n, F, and v) is available in the previously published literature [23].The maximum limiting currents of the catalysts increased with an increase in the rotating speeds of the RDE measurement, and this suggests that, along with an increase in the rotating speed, the amount of oxygen diffusion to the surface of the electrode increased, which causes more oxygen reduction at the cathode.In addition, the behaviors of the polarization curves at different rotating rates are similar, and the E onset values can be obtained from the crossover point of the tangent line of the mixing zone and the horizontal line; this point has a constant value of 0.62 V vs. RHE for the Cu-SOCBP/C catalyst [17].For comparative purposes, the RDE measurements of Pt/C were also taken with a potential window from 0 V to 1.2 V vs. RHE in the same test buffer as that of Cu-SOCBP/C.As shown in Figure 6b, the kinetic/diffusion current region of Pt/C occurred at 0.87 V to 0.31 V, and the diffusion control region was observed below 0.31 V.In addition, Pt/C has an onset reduction potential of 0.87 V, which is higher than that of the Cu-SOCBP/C catalyst.For comparison, Figure 6c shows the RDE curves of the two catalysts at 1600 rpm; the onset reduction potentials and limiting-current densities were 0.62 V and 4.3 mA cm −2 , respectively, for Cu-SOCBP/C and 0.87 V and 5 mA cm −2 , respectively, for Pt/C.The RDE curves of the Vulcan XC-72-modified electrode were also determined, and exhibited a much lower E onset (0.43 V), as well as much lower limiting current densities compared to those of the Cu-SOCBP/C catalyst (Figure S2).
The data indicates that the catalytic activity of Cu-SOCBP/C was a little poorer than that of the Pt/C catalyst.Nevertheless, considering the low-cost advantages of Cu-SOCBP/C catalysts, it might still be a promising cathodic catalyst in some fuel cells, such as MFCs.
To obtain the value of n involved in ORR activity for the Cu-SOCBP/C catalyst, the data acquired from RDE measurements were used to construct the Koutecky-Levich (K-L) equations [17]: (1) In Equations ( 1) and ( 2), the physical meaning of the related parameters (including i, i k , ω, n, F, and v) is available in the previously published literature [23].
Using the slope (1/B) of the plot of 1/i vs. ω −1/2 (Figure 7), the n value can be calculated using Equation (2).The fitting equations and the values of R 2 in the K-L plots of the catalysts are shown in Table S1 (Supplementary Materials).For the Cu-SOCBP/C catalyst (Figure 7a), the plots of 1/i vs. ω −1/2 at different potentials were all linear and parallel, and this reveals that the n values per oxygen consumed in the ORR reactions were the same.Specifically, the n values were calculated to be 4, 3.7, 3.6, and 3.6 at 0.41 V, 0.36 V, 0.31 V, and 0.26 V, respectively, for Cu-SOCBP with a rotation rate fixed at 1600 rpm.For the Pt/C catalyst, the n values were calculated to be 4.0, 4.0, and 3.8 at potentials of 0.2 V, 0.3 V, and 0.4 V, respectively (Figure 7b).The data indicated that the Cu-SOCBP/C catalyst plays a role as an electrocatalyst via a four-electron dominant transfer pathway, and this was comparable to that of Pt/C, except that the E onset of Cu-SOCBP was somewhat lower than that of Pt/C.The n values for Vulcan XC-72 were calculated to be 1.67-2.33,which was much lower than that of the Cu-SOCBP/C and Pt/C catalysts (Figure S3).Using the slope (1/B) of the plot of 1/i vs. ω −1/2 (Figure 7), the n value can be calculated using Equation (2).The fitting equations and the values of R 2 in the K-L plots of the catalysts are shown in Table S1 (Supplementary Materials).For the Cu-SOCBP/C catalyst (Figure 7a), the plots of 1/i vs. ω −1/2 at different potentials were all linear and parallel, and this reveals that the n values per oxygen consumed in the ORR reactions were the same.Specifically, the n values were calculated to be 4, 3.7, 3.6, and 3.6 at 0.41 V, 0.36 V, 0.31 V, and 0.26 V, respectively, for Cu-SOCBP with a rotation rate fixed at 1600 rpm.For the Pt/C catalyst, the n values were calculated to be 4.0, 4.0, and 3.8 at potentials of 0.2 V, 0.3 V, and 0.4 V, respectively (Figure 7b).The data indicated that the Cu-SOCBP/C catalyst plays a role as an electrocatalyst via a four-electron dominant transfer pathway, and this was comparable to that of Pt/C, except that the Eonset of Cu-SOCBP was somewhat lower than that of Pt/C.The n values for Vulcan XC-72 were calculated to be 1.67-2.33,which was much lower than that of the Cu-SOCBP/C and Pt/C catalysts (Figure S3).It is known that the direct transformation of oxygen to water (involving four electrons) is superior to the process of hydrogen peroxide formation (involving two electrons) because the former has higher oxygen utilization efficiency than the latter.Additionally, the H2O2 produced in the latter process has a corrosive effect on fuel cells.Thus, the oxygen reduction process of Cu-SOCBP is preferred because its n values approach 4.

RRDE Measurements of the Catalysts
RRDE measurements were also taken in the electrolyte using a series of rotating rates to gain more insight into the precise ORR pathway of the Cu-SOCBP composite as well as the production and further reduction of H2O2 as an intermediate.The disk potential ranged from 0.81 to −0.4 V (vs.RHE), and the ring potential was set at 0.6 V (vs.Ag/AgCl/saturated KCl) to ensure that all of the H2O2 produced in the electrocatalyzed ORR process was oxidized to water at the ring electrode.It is known that the direct transformation of oxygen to water (involving four electrons) is superior to the process of hydrogen peroxide formation (involving two electrons) because the former has higher oxygen utilization efficiency than the latter.Additionally, the H 2 O 2 produced in the latter process has a corrosive effect on fuel cells.Thus, the oxygen reduction process of Cu-SOCBP is preferred because its n values approach 4.

RRDE Measurements of the Catalysts
RRDE measurements were also taken in the electrolyte using a series of rotating rates to gain more insight into the precise ORR pathway of the Cu-SOCBP composite as well as the production and further reduction of H 2 O 2 as an intermediate.The disk potential ranged from 0.81 to −0.4 V (vs.RHE), and the ring potential was set at 0.6 V (vs.Ag/AgCl/saturated KCl) to ensure that all of the H 2 O 2 produced in the electrocatalyzed ORR process was oxidized to water at the ring electrode.RRDE voltammetry curves are shown in Figure 8a, and the upper part of the figure shows currents of the ring electrode, while the lower part of the figure shows the disk current.With an increase in the rotating speeds, the currents on both the ring electrode and the disk electrode increased simultaneously, which means that H 2 O 2 was generated in the ORR process and was detected on the ring electrode.The data from the RRDE experiment were then used for a further explanation of the ORR pathways.First, the electron transfer numbers (ETN) values and percentages of H 2 O 2 production were calculated using the following equations [29]: In Equations ( 3) and ( 4), N is the collection efficiency (43%) of H 2 O 2 , I r is the ring current, and I d is the disk current.Using the calculation results, the yields (%) of H 2 O 2 for Cu-SOCBP/C were lower than 10.2%, and the value of n was 3.8 over the potential range of 0.01 V to 0.31 V (Figure 8b,c).The n values calculated from the RRDE data were consistent with those acquired from the RDE measurements.Thus, it was finally confirmed that Cu-SOCBP/C catalyzed a four-electron prominent transfer process with low H 2 O 2 yields and high ETN values that were approximately 4. For comparison, the RRDE measurements of Pt/C were also carried out.According to the data from the RRDE curves (Figure S4a), the average yield (%) of H 2 O 2 was 1.6%, and the calculated electron-transfer number was 4 (Figure S4b,c).In Equations ( 3) and ( 4), N is the collection efficiency (43%) of H2O2, Ir is the ring current, and Id is the disk current.Using the calculation results, the yields (%) of H2O2 for Cu-SOCBP/C were lower than 10.2%, and the value of n was 3.8 over the potential range of 0.01 V to 0.31 V (Figure 8b,c).The n values calculated from the RRDE data were consistent with those acquired from the RDE measurements.Thus, it was finally confirmed that Cu-SOCBP/C catalyzed a four-electron prominent transfer process with low H2O2 yields and high ETN values that were approximately 4. For comparison, the RRDE measurements of Pt/C were also carried out.According to the data from the RRDE curves (Figure S4a), the average yield (%) of H2O2 was 1.6%, and the calculated electron-transfer number was 4 (Figure S4b,c).
Parameters of other M-Nx-containing catalysts are also included in Table 1, including the onset reduction potential (Eonset, V), the half-wave potential (E1/2, V), electron transfer number (ETN), and H2O2 yields (%); the parameters for the catalyst reported in this study were also included [15,16,18,[34][35][36].In making a comprehensive comparison of the data in Table 1, it can be concluded that the ORR ability of Cu-SOCBP/C is equivalent to or better than most of the reported catalysts.It must be noted that the optimum operating medium for the catalyst in this study is a neutral aqueous solution; it is not an acidic or alkaline medium, and this limits its application as catalysts in proton exchange membrane fuel cells or alkaline membrane fuel cells.The catalyst reported in this study can be used in MFCs, which are new fuel cells being used in industrial implementations and are operated in neutral aqueous solution.Parameters of other M-N x -containing catalysts are also included in Table 1, including the onset reduction potential (E onset , V), the half-wave potential (E 1/2 , V), electron transfer number (ETN), and H 2 O 2 yields (%); the parameters for the catalyst reported in this study were also included [15,16,18,[34][35][36].In making a comprehensive comparison of the data in Table 1, it can be concluded that the ORR ability of Cu-SOCBP/C is equivalent to or better than most of the reported catalysts.It must be noted that the optimum operating medium for the catalyst in this study is a neutral aqueous solution; it is not an acidic or alkaline medium, and this limits its application as catalysts in proton exchange membrane fuel cells or alkaline membrane fuel cells.The catalyst reported in this study can be used in MFCs, which are new fuel cells being used in industrial implementations and are operated in neutral aqueous solution.

Specific Reduction Pathway of Cu-SOCBP/C
Although the above data provide helpful information on ORR kinetics, specific insights into more detailed oxygen reduction routes are still needed.For example, the four-electron transfer process has two possible transfer pathways: (1) a "step-by-step" four-electron pathway (k2 = k3, k1 = 0), and (2) a direct four-electron pathway (k1 >> k2, k3 = 0).The mechanisms proposed by Damjanovic et al. are shown in Figure 9; k1, k2, and k3 are the rate constants for each step [37].The pathway model for a direct four-electron transfer process can be expressed as Equation ( 5), and a "step-by-step" four-electron pathway can be expressed as Equations ( 6) and (7).
RRDE data can also be used to calculate the rate constants k1, k2, and k3 according to Equations ( 8)- (10) to identify the exact mechanism of ORR for Cu-SOCBP/C [37,38].
2 Z S The pathway model for a direct four-electron transfer process can be expressed as Equation ( 5), and a "step-by-step" four-electron pathway can be expressed as Equations ( 6) and (7).
RRDE data can also be used to calculate the rate constants k 1 , k 2 , and k 3 according to Equations ( 8)- (10) to identify the exact mechanism of ORR for Cu-SOCBP/C [37,38].
In Equations ( 8)- (10), , where D H 2 O 2 and D O 2 are diffusion coefficients of H 2 O 2 and O 2 , respectively, in PBS solution.I 1 and S 1 are, respectively, the intercept and slope from the plot of I d /I r vs. ω −1/2 , and S 2 is the slope from the plot of I dl /(I dl − I d ) vs. ω −1/2 .I dl is the disk-limiting current [37,38].
The values of k 1 , k 2 , and k 3 are shown in Figure 10a.It can be seen that k 1 >> k 2 ~k3 , and this suggests that oxygen was mainly reduced to H 2 O via a direct mode with a fast reaction rate.It can also be found from Figure 10a that the value of k 2 was comparable to that of k 3 , and this indicates that a small portion of oxygen was reduced to H 2 O 2 as intermediate, and then H 2 O 2 was reduced to H 2 O at the same rate.It is noted that the value of k 2 is slightly larger than that of k 3 , and this indicates that a small amount of H 2 O 2 is produced in the electrocatalysis of oxygen by the Cu-SOCBP/C catalyst (Figure 8b).
These results indicate that Cu-SOCBP/C catalyzed the ORR process mainly via a four-electron transfer process consisting of a direct route (which was primary) and a "step-by-step" route (which was auxiliary), both of which were four-electron processes.In addition, variations in the rate constant ratio (k 1 /k 2 ) were also investigated, along with the potential difference posed on the catalyst-modified electrode.As shown in Figure 10b, the ratio of k 1 /k 2 remained at an approximately constant value, which was around 5 for the potential range of −0.1 to 0.5 V. Obviously, the direct four-electron transfer pathway is the main ORR process for the Cu-SOCBP/C catalyst.
Catalysts 2018, 8, x FOR PEER REVIEW 11 of 17 In Equations ( 8)-( 10),  .Idl is the disk-limiting current [37,38].The values of k1, k2, and k3 are shown in Figure 10a.It can be seen that k1 >> k2~k3, and this suggests that oxygen was mainly reduced to H2O via a direct mode with a fast reaction rate.It can also be found from Figure 10a that the value of k2 was comparable to that of k3, and this indicates that a small portion of oxygen was reduced to H2O2 as an intermediate, and then H2O2 was reduced to H2O at the same rate.It is noted that the value of k2 is slightly larger than that of k3, and this indicates that a small amount of H2O2 is produced in the electrocatalysis of oxygen by the Cu-SOCBP/C catalyst (Figure 8b).
These results indicate that Cu-SOCBP/C catalyzed the ORR process mainly via a four-electron transfer process consisting of a direct route (which was primary) and a "step-by-step" route (which was auxiliary), both of which were four-electron processes.In addition, variations in the rate constant ratio (k1/k2) were also investigated, along with the potential difference posed on the catalyst-modified electrode.As shown in Figure 10b, the ratio of k1/k2 remained at an approximately constant value, which was around 5 for the potential range of −0.1 to 0.5 V. Obviously, the direct four-electron transfer pathway is the main ORR process for the Cu-SOCBP/C catalyst.
3.2.Synthesis of OCBP and Cu-SOCBP M1 (2.034 g, 4 mM), M2 (1.950 g, 8 mM), Pd[P(C 5 H 5 ) 3 ] 4 (0.37g, 0.32 mM), and NBu 4 F (0.015 g) were added to a mixture medium consisting of toluene (90 mL) and Na 2 CO 3 (60 mL, 2 M), which were combined in a round-bottom flask.This flask was maintained at 120 • C under an argon atmosphere and stirred magnetically.The solvent and water were distilled under vacuum to obtain the solid crude product.The crude product was redissolved in chloroform and rinsed with water three times [39].Excess solvents were removed via distillation to concentrate the organic phase, which was then subjected to silica gel column chromatography, and the solvent mixture of dichloromethane/n-hexane (2:1, v/v) was used as the elution solvent.Finally, the product was obtained as a white solid (OCBP) with a yield of 65%.The1 H nuclear magnetic resonance ( 1 H NMR) (400 MHz, cdcl 3 ) and 13 C NMR (101 MHz, cdcl 3 ) spectra of OCBP are shown in Figure 11.three times [39].Excess solvents were removed via distillation to concentrate the organic phase, which was then subjected to silica gel column chromatography, and the solvent mixture of dichloromethane/n-hexane (2:1, v/v) was used as the elution solvent.Finally, the product was obtained as a white solid (OCBP) with a yield of 65%.The 1 H nuclear magnetic resonance ( 1 H NMR) (400 MHz, cdcl3) and 13 C NMR (101 MHz, cdcl3) spectra of OCBP are shown in Figure 11.Also, Figure 12 shows the IR spectrum of OCBP.Assignment of the vibrational bands is as follows [40]: the peak at 3030 cm −1 corresponds to aromatic C-H stretching, and the peaks between 2922 and 2851 cm −1 correspond to C-H stretching of aliphatic side chains.Bands at 1596-1478 cm −1 and 1325 cm −1 are ascribed to the stretching vibrations of the C=N bond (phenanthroline ring) and the C-N bond (carbazole ring), respectively, and this is direct evidence for the linkage of the phenanthroline and carbazole ring.The bands in the region of 1478-1419 cm −1 are assigned to the Also, Figure 12 shows the IR spectrum of OCBP.Assignment of the vibrational bands is as follows [40]: the peak at 3030 cm −1 corresponds to aromatic C-H stretching, and the peaks between 2922 and 2851 cm −1 correspond to C-H stretching of aliphatic side chains.Bands at 1596-1478 cm −1 and 1325 cm −1 are ascribed to the stretching vibrations of the C=N bond (phenanthroline ring) and the C-N bond (carbazole ring), respectively, and this is direct evidence for the linkage of the phenanthroline and carbazole ring.The bands in the region of 1478-1419 cm −1 are assigned to the C=C skeleton vibration of the benzene ring.In addition, the peak at 1325 cm −1 corresponds to the stretching vibration of the C-N bond in the phen ring, and the strong peak at 741 cm −1 corresponds to the out-of-plane bending vibration of the C-H bond on the phen ring.The peak at 805 cm −1 is attributed to the out-of-plane bending vibration of the adjacent C-H hydrogen atoms on the carbazole ring.In all, the data of the Infrared spectroscopy (IR) further confirm the successful synthesis of the desired OCBP compound.
To prepare Cu-SOCBP, the monomer OCBP (3.8148 mg, 0.006 mmol) was dissolved in 1 mL of acetonitrile under a nitrogen atmosphere.Copper(II) perchlorate hexahydrate (2.22 mg, 0.006 mmol) was then dissolved in 1 mL of acetonitrile and added dropwise into the above OCBP solution.The resulting green solution was the solution of Cu-SOCBP.The weight-average molecular weight of Cu-SOCBP was as high as M w = 6.5 × 10 6 Da, which might be an indication of the formation of the supramolecule complexes (See Supplementary Materials about the test method).The synthetic routes for monomers OCBP and Cu-SOCBP are shown in Scheme 1.
Catalysts 2018, 8, x FOR PEER REVIEW 13 of 17 C=C skeleton vibration of the benzene ring.In addition, the peak at 1325 cm −1 corresponds to the stretching vibration of the C-N bond in the phen ring, and the strong peak at 741 cm −1 corresponds to the out-of-plane bending vibration of the C-H bond on the phen ring.The peak at 805 cm −1 is attributed to the out-of-plane bending vibration of the adjacent C-H hydrogen atoms on the carbazole ring.In all, the data of the Infrared spectroscopy (IR) further confirm the successful synthesis of the desired OCBP compound.
To prepare Cu-SOCBP, the monomer OCBP (3.8148 mg, 0.006 mmol) was dissolved in 1 mL of acetonitrile under a nitrogen atmosphere.Copper(II) perchlorate hexahydrate (2.22 mg, 0.006 mmol) was then dissolved in 1 mL of acetonitrile and added dropwise into the above OCBP solution.The resulting green solution was the solution of Cu-SOCBP.The weight-average molecular weight of Cu-SOCBP was as high as Mw = 6.5 × 10 6 Da, which might be an indication of the formation of the supramolecule complexes (See Supplementary Materials about the test method).The synthetic routes for monomers OCBP and Cu-SOCBP are shown in Scheme 1.

Catalyst Preparation
Cu-SOCBP solution (200 μL), carbon black (Vulcan XC-72, 1.6 mg), isopropanol (177 μL), nafion solution (3 μL), and ultrapure water (570 μL) [17,23] were mixed in a 1.5-mL Eppendorf tube to prepare a black slurry.The obtained black slurry was ultrasonically dispersed in an ultrasonic cleaner for one hour and then ready for further application; it is denoted as the Cu-SOCBP/C catalyst slurry.In the procedure to modify the electrode, 10 μL of the above slurry was dropped on the surface of a glassy carbon (GC) disk electrode or a rotating ring-disk electrode (RRDE) and then dried at room temperature.Finally, the uniform film of the Cu-SOCBP/C catalyst was formed on the working electrode, and the loading density of the catalyst was 0.048 mg•cm −2 .For comparative purposes, a Pt/C catalyst ink was also prepared in a 1.5-mL Eppendorf tube and C=C skeleton vibration of the benzene ring.In addition, the peak at 1325 cm −1 corresponds to the stretching vibration of the C-N bond in the phen ring, and the strong peak at 741 cm −1 corresponds to the out-of-plane bending vibration of the C-H bond on the phen ring.The peak at 805 cm −1 is attributed to the out-of-plane bending vibration of the adjacent C-H hydrogen atoms on the carbazole ring.In all, the data of the Infrared spectroscopy (IR) further confirm the successful synthesis of the desired OCBP compound.
To prepare Cu-SOCBP, the monomer OCBP (3.8148 mg, 0.006 mmol) was dissolved in 1 mL of acetonitrile under a nitrogen atmosphere.Copper(II) perchlorate hexahydrate (2.22 mg, 0.006 mmol) was then dissolved in 1 mL of acetonitrile and added dropwise into the above OCBP solution.The resulting green solution was the solution of Cu-SOCBP.The weight-average molecular weight of Cu-SOCBP was as high as Mw = 6.5 × 10 6 Da, which might be an indication of the formation of the supramolecule complexes (See Supplementary Materials about the test method).The synthetic routes for monomers OCBP and Cu-SOCBP are shown in Scheme 1.

Catalyst Preparation
Cu-SOCBP solution (200 μL), carbon black (Vulcan XC-72, 1.6 mg), isopropanol (177 μL), nafion solution (3 μL), and ultrapure water (570 μL) [17,23] were mixed in a 1.5-mL Eppendorf tube to prepare a black slurry.The obtained black slurry was ultrasonically dispersed in an ultrasonic cleaner for one hour and then ready for further application; it is denoted as the Cu-SOCBP/C catalyst slurry.In the procedure to modify the electrode, 10 μL of the above slurry was dropped on the surface of a glassy carbon (GC) disk electrode or a rotating ring-disk electrode (RRDE) and then dried at room temperature.Finally, the uniform film of the Cu-SOCBP/C catalyst was formed on the working electrode, and the loading density of the catalyst was 0.048 mg•cm −2 .

Catalyst Preparation
Cu-SOCBP solution (200 µL), carbon black (Vulcan XC-72, 1.6 mg), isopropanol (177 µL), nafion solution (3 µL), and ultrapure water (570 µL) [17,23] were mixed in a 1.5-mL Eppendorf tube to prepare a black slurry.The obtained black slurry was ultrasonically dispersed in an ultrasonic cleaner for one hour and then ready for further application; it is denoted as the Cu-SOCBP/C catalyst slurry.In the procedure to modify the electrode, 10 µL of the above slurry was dropped on the surface of a glassy carbon (GC) disk electrode or a rotating ring-disk electrode (RRDE) and then dried at room temperature.Finally, the uniform film of the Cu-SOCBP/C catalyst was formed on the working electrode, and the loading density of the catalyst was 0.048 mg•cm −2 .For comparative purposes, a Pt/C catalyst ink was also prepared in a 1.5-mL Eppendorf tube and had the following constituents: 1 mg of Pt/C, 177 µL of isopropanol, 3.5 µL of nafion solution (5 wt %), and 570 µL of ultrapure water [17,23].The Pt/C link catalyst was dispersed using this same method.Catalyst ink (10 µL) was dropped on the working electrode (Pt = 15 µg cm −2 ) to prepare the Pt/C-modified electrode, which was then dried for use.The prepared electrodes were subjected to cyclic voltammetry (CV), linear sweep voltammetry (LSV), and RRDE measurements.Before electrode modification, the surface of the working electrode must be polished using Al 2 O 3 (0.3 µm) and then washed with ultrapure water to obtain a clean surface.

Physical Characterization and Electrochemical Studies
1 H NMR and 13 C NMR spectra of OCBP were recorded in CDCl 3 at 400 MHz using a Varian AMX 400 spectrometer (Varian Inc., Santa Clara, CA, USA), and tetramethylsilane was used as the internal standard.Fourier transform infrared (FT-IR) spectra were recorded using a Nicolet 170 SX FTIR spectrometer (Thermo Fisher Scientific Inc., Waltham, MA, USA) with samples embedded in KBr pellets.To gain information on the microstructures of the catalyst, the catalyst was uniformly dispersed on the surface of Indium tin oxide (ITO)-coated glass, and scanning electron microscopy (SEM) was recorded using a ZEISS scanning electron microscope(SEM, Carl Zeiss Ltd., Oberkochen, Germany).X-ray photoelectron spectroscopy (XPS, ESCALAB 250 Xi, Thermo Fisher Scientific Inc., Waltham, MA, USA) was used to analyze the elemental compositions of the samples and the valence states of those elements.Electrochemical measurements were all taken using a computer-controlled Autolab potentiostat/galvanostat (PGSTAT302N, Metrohm Autolab, The Netherlands).A standard electrochemical system was used, in which a GC electrode (diameter, 5 mm) or RRDE (outer diameter 7.92 mm, inner diameter 6.25 mm) was used as the working electrode, an Ag/AgCl (saturated potassium chloride) (0.197 V + 0.0591 × pH vs. reversible hydrogen electrode (RHE) at 25 • C) electrode was used as the reference electrode, and a platinum electrode was used as the counter electrode [41].The testing medium used as the electrolyte was 0.1 M phosphate buffer solution (PBS), and as required by the tests, the electrolyte medium was saturated with oxygen or nitrogen gas, which was provided by a gas supply device alongside the electrochemical testing system.The XRD spectra were measured by a XD-3 Purkinje diffractometer (Beijing Purkinje General Instrument Co. Ltd., Beijing, China), employing monochromatized Cu K a1 radiation, and the scan rate was 4 • /min over the range of 2θ = 10-60 • .The physisorption test was conducted on a TriStar II 3020 specific surface and pore analyzer.

Conclusions
A type of copper-based metallo-supramolecule polymer was prepared via the coordination reaction of copper ions and a new bis(1,10-phenanthroline)-containing ligand.The polymer had a high content of pyridine-type nitrogen and Cu-N x units.The polymer was loaded on carbon black using a simple blending method to prepare a novel ORR catalyst, and the aim was to enhance conductivity and the mass transfer capacity.ORR activities and the underlying mechanisms of the catalyst were characterized in detail using CV, RDE, and RRDE methods as well as a comprehensive analysis of the data.The results show that Cu-SOCBP/C performs an electrocatalytic reduction to oxygen with a predominantly four-electron transfer process.RRDE measurements further confirmed the direct four-electron transfer pathway for the reduction of oxygen to water.In all, the polymer-based catalyst is an alternative choice for the commercial Pt/C in the application of fuel cells, such as microbial fuel cells that operate in an aqueous buffer solution.

Figure 5 .
Figure 5. Cyclic voltammetry (CV) of Cu-SOCBP/C in phosphate buffer solution (PBS) saturated once with N2 and once with O2 (a); CV of Cu-SOCBP/C and Pt/C in PBS saturated with O2 (b); and CV of Cu-SOCBP/C in PBS saturated with O2 (c).Scan rate: 100 mV/s.

Figure 5 .
Figure 5. Cyclic voltammetry (CV) of Cu-SOCBP/C in phosphate buffer solution (PBS) saturated once with N 2 and once with O 2 (a); CV of Cu-SOCBP/C and Pt/C in PBS saturated with O 2 (b); and CV of Cu-SOCBP/C in PBS saturated with O 2 (c).Scan rate: 100 mV/s.

Figure 6 .
Figure 6.(a) Polarization curves of Cu-SOCBP/C obtained at different rotating rates using N2-saturated electrolyte (upper part) or O2-saturated electrolyte (lower part).(b) Polarization curves of Pt/C with a dependence of current magnitude on rotation rate.(c) Polarization curves of Cu-SOCBP/C and Pt/C at a rotating rate of 1600 rpm.

Figure 6 .
Figure 6.(a) Polarization curves of Cu-SOCBP/C obtained at different rotating rates using N 2 -saturated electrolyte (upper part) or O 2 -saturated electrolyte (lower part).(b) Polarization curves of Pt/C with a dependence of current magnitude on rotation rate.(c) Polarization curves of Cu-SOCBP/C and Pt/C at a rotating rate of 1600 rpm.

Figure 7 .
Figure 7. K-L plots at potentials of 0.41 V, 0.36 V, 0.31 V, and 0.26 V for Cu-SOCBP/C (a); and those for Pt/C at potentials of 0.2 V, 0.3 V, and 0.4 V (b).

Figure 7 .
Figure 7. K-L plots at potentials of 0.41 V, 0.36 V, 0.31 V, and 0.26 V for Cu-SOCBP/C (a); and those for Pt/C at potentials of 0.2 V, 0.3 V, and 0.4 V (b).

2. 6 .
Specific Reduction Pathway of Cu-SOCBP/CAlthough the above data provide helpful information on ORR kinetics, specific insights into more detailed oxygen reduction routes are still needed.For example, the four-electron transfer process has two possible transfer pathways: (1) a "step-by-step" four-electron pathway (k 2 = k 3 , k 1 = 0), and (2) a direct four-electron pathway (k 1 >> k 2 , k 3 = 0).The mechanisms proposed by Damjanovic et al. are shown in Figure9; k 1 , k 2 , and k 3 are the rate constants for each step[37].Catalysts 2018, 8, x FOR PEER REVIEW 10 of 17

Figure 9 .
Figure 9. Possible routes for oxygen reduction.Footnotes b and * indicate reactions in the bulk solution and reaction on the electrode surface, respectively.

Figure 9 .
Figure 9. Possible routes for oxygen reduction.Footnotes b and * indicate reactions in the bulk solution and reaction on the electrode surface, respectively. where of H2O2 and O2, respectively, in PBS solution.I1 and S1 are, respectively, the intercept and slope from the plot of Id/Ir vs. ω −1/2 , and S2 is the slope from the plot of Idl/(Idl − Id) vs. ω −1/2

Figure 10 .
Figure 10.Values of k 1 , k 2 , and k 3 of the ORR pathway model for Cu-SOCBP/C (a); and the ratios of k 1 /k 2 (b).

Table 1 .
ORR abilities of some M-N x -containing non-noble catalysts reported in recent years.

Table 1 .
ORR abilities of some M-Nx-containing non-noble catalysts reported in recent years.