Supporting Information Size-dependent chemical reactivity of porous graphene for purification of exhaust gases Chen Si Gang Zhou* Department of Chemistry, University of Science and Technology Beijing, Beijing 100083; Department of Physics, Tsinghua University, Beijing 100084, People's Republic of China * Corresponding author:gzhou@phys.tsinghua.edu.cn Starting from the initial states, and following the coordination rule in heterogeneous reaction, that is, “higher valency adsorbate occupies higher coordination site”, we first confirmed the primary information of final states for the three reactions, further calculated and compared the total energies of possible final states, finally obtained the most stable final states as mentioned in the paper. The detailed processes of the identification of final states are shown below. N-attack of NO2 on the vacancy Figure S1 Possible final states of N-attack of NO2 on the vacancy: (a) only one O atom of NO2 bonds with the weak bond, (b) two O atoms of NO2 bond with the weak bond together. Table S1 The relative energy of (a) with respect to (b), which is set to zero. Configuration a b Relative energy (eV) 0.46 0 O-attack of NO2 on the vacancy Figure S2 Possible final states of O-attack of NO2 on the vacancy. The dissociated O of released NO group on (a) the bridge of the N-C2 bond, (b) the top of the C2, and (c) the bridge of the C2-C bond. Table S2 The relative energies of (a) and (b) with respect to (c), which is set to zero. Configuration a b c Relative energy(eV) 1.80 0.42 0 NO on the vacancy Figure S3 Possible final states of NO on the vacancy: following the coordination rule of heterogeneous reaction, the N occupies the vacancy, with the dissociated O at some possible sites, containing the top of the N atom (T1), the top of nearest C atom (T2), the top of the next nearest C atom (T3), the center of the nearest hexagonal ring (C1), the center of the next nearest carbon hexagon (C2), the bridge of the N-C2 bond (B1) and the bridge of the C2’-C bond (B2). TableS3 The relative energies of N-doped graphene with O adsorption at different sites, with respect to the T2 site. The energy of B1 is absent because the O atom moves to T2 after structural relaxation. The total energy of T2 is set to zero. Site T1 T2 T3 C1 C2 B1 B2 Relative energy (eV) 1.84 0 0.18 0.36 1.95 -0.57