Fig. 4: Catalytic reaction mechanism analysis.

a The proposed BOR mechanisms over the Cu-Nx-y catalyst. b In-situ IR spectra of Cu-N3-33.2. c, d Projected density of states (pDOS) of the Cu centers on the CuN3 and CuN4 interfaces before and after H2O2 adsorption. e Free energy diagrams of benzene oxidation to phenol on Cu-N3 and Cu-N4 sites. e1-e6 The charge density difference of Cu-N3, Cu-N4 in BOR. Yellow and cyan isosurfaces indicate the electron accumulation and depletion, respectively.