The ORR/OER activities of the prepared samples were evaluated on a rotating disk electrode (RDE) in O
2-saturated 0.1 mol/L KOH solution. The contact angle measurements indicated a similar hydrophobic surface of M-N@Gs in 0.1 mol/L KOH solution (Fig. S13 in Supporting information), which generates a favorable triple-phase boundary region of oxygen, electrolyte and electrode for oxygen electrocatalysis reactions. We then investigated the electrocatalytic ORR activities of M-N@Gs by linear sweep voltammetry (LSV) measurements (
Fig. 2a). It reveals the most positive onset potential (0.96 V) and half-wave potential (0.85 V) for Co-N@G, which are even superior to Pt/C (onset potential of 0.95 V and half-wave potential of 0.82 V), followed by Fe-N@G, Ni-N@G and N@G. The comparison results imply the ORR occurs more easily catalyzed by Co-N@G. To gain information on electron transfer route during ORR process, LSV curves at different rotating speed are explored and the accordingly Koutecky–Levich (K–L) plots (
Fig. 2b) show that the value of electron transfer number for Co-N@G is 3.84, indicating a four-electron pathway for ORR, while the electron transfer number (n) for Fe-N@G, Ni-N@G and N@G is 2.61, 2.38 and 1.69, respectively (Fig. S14 in Supporting information), suggesting their rather poor ORR selectivity towards hydroxide ions. In addition, we calculated the exchange current density (
J0) for different electrocatalysts. Despite the fact that Pt/C exhibits the highest value of
J0 (Fig. S15 in Supporting information), the
J0 of Co-N@G was calculated to be 9.5 × 10
–6 mA/cm
2, higher than that of Fe-N@G (8.5 × 10
–6 mA/cm
2), Ni-N@G (3.2 × 10
–6 mA/cm
2) and N@G (1.6 × 10
–6 mA/cm
2), proving the higher intrinsic catalytic activity of Co-N@G. It should be noted that the calculated value of
J0 for N@G is very close to the reported one under similar experimental conditions, indicating the reliability of our calculation results [
26]. The Tafel slope (
Fig. 2c) for Co-N@G is 65 mV/dec, which is superior to that of Pt/C (81 mV/dec), much lower than Fe-N@G (85 mV/dec), Ni-N@G (87 mV/dec) and N@G (110 mV/dec). The above results reveal that Co-N@G possesses more excellent ORR activity with faster reaction kinetics. The OER catalytic activities of the as-prepared samples were presented in
Fig. 2d. Compared to the corresponding state-of-the-art catalyst RuO
2, M-N@Gs exhibit inferior electrocatalytic activities, which might be ascribed to their relatively low specific area and limited amounts of active sites. Nonetheless, among M-N@Gs, Co-N@G exhibits a much lower onset potential and higher catalytic current. And the smallest Tafel slopes of the Co-N@G (151 mV/dec) in contrast to other samples (Ni-N@G: 153 mV/dec; Fe-N@G: 207 mV/dec; N@G: 325 mV/dec) demonstrates its best kinetic process for OER (
Fig. 2e). The above results indicate that metal-free N@G presents a much lower electrocatalytic activity than that of the M-N@Gs. Considering the very close content of different nitrone types in M-N@Gs and N@G (Table S1), we infer that it is the single metal sites that plays a predominant role in the electrocatalytic conversion of oxygen species. Besides, the electrochemical active surface area (ECSA) was determined by calculating the double layer capacitance (
Cdl) based on the CV curves at different scan rates (Fig. S16 in Supporting information). The M-N@G catalysts owns similar electrochemical surface areas (Fe-N@G: 1.04 mF/cm
2; Co-N@G: 1.10 mF/cm
2; Ni-N@G: 0.91 mF/cm
2), while the metal-free N@G has a much smaller Cdl of 0.09 mF/cm
2, which emphasized the important roles of metals in the interaction with hydroxide ions and confirmed that the catalytic activities of M-N@Gs mainly stem from the discrete M-N@C sites within graphene sheets. To evaluate the intrinsic activities of every M-N-C active site, we estimated the turn over frequency (TOF) at a specific potential. At 1.8 V during the OER process, Co-N@G owns a largest TOF value of 0.24 s
–1, whereas the TOF of Ni-N@G is 0.16 s
–1, higher than Fe-N@G (0.097 s
–1). Therefore, the ORR catalytic activities of M-N@Gs decreases in the order of Co-N@
G > Fe-N@G > Ni-N@G, and the OER catalytic activities of M-N@Gs decreases in the order of Co-N@G > Ni-N@G > Fe-N@G. Furthermore, as shown in
Fig. 2f, the Co-N@G has the best ORR/OER catalytic activity determined from the smallest potential difference (0.98 V) between ORR potential at half-wave and OER potential at 10 mA/cm
2. Depending on all the above results, we can conclude that the differences in catalytic activities of M-N@Gs for ORR and OER lies in the type of metal atoms within the M-N@C active sites.