“…Notably, these values are all much higher than those with Au nanoparticles larger than 2 nm in diameter. [13,29] Second, with increasing Au cluster size, the onset potential of oxygen reduction shifts negatively: Au 11 /GC (À0.10 V) > Au 25 /GC (À0.16 V) > Au 55 /GC (À0.20 V) > Au 140 /GC (À0.25 V). Third, from linear regressions by the Koutecky-Levich equations (not shown), the electron-transfer kinetics of oxygen reduction also exhibit an apparent variation with gold cluster core size, as reflected by the apparent increase of kinetic limiting current density (J K ) with decreasing particle core dimensions, that is, at À0.5 V: Au 11 /GC (À17.9 mA cm À2 ) > Au 25 /GC (À10.0 mA cm À2 ) > Au 55 /GC (À9.3 mA cm À2 ) > Au 140 /GC (À1.7 mA cm À2 ).…”