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Determination of σcorr(FeO2, CO) involves finding solution for x in a nonlinear equation: Ae -x, B(1-e-x)/x-C, 0, in which A, IHe(FeO2)/I He(FeO3, B, ln[Igas(FeO 3)/IHe(FeO3, C, I gas(FeO2)/Igas(FeO3, and σcorr(FeO2, CO, x, B)/n/l. The uncertainty of x, B is determined by calculations of the numerical derivatives of x, B with respect to the independent mass signal magnitudes Igas and IHe with 10% uncertainty
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The adopted B3LYP/6-311+G* method predicts that the quintet FeOO2 (FeO3 molecule containing-O-O-moiety, 5B2, C2ν symmetry, see 5I2 in Supporting Information Figure S7) is only above the groundstate FeO 3 (1A1′, D3h) by 0.032 eV (zero-point-vibration corrected, see Tables S4 and S11 in the Supporting Information, Considering that the B3LYP functional favors higher spin states and another functional such as BPW91 with 6-311+G* basis set predicts that the singlet FeO3 (1A1′) is below the quintet FeOO2 (5B2) by 1.38 eV, FeOO2 is not considered to be significantly populated in the experiments
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The experimental work (Figure 1) suggests that single-iron sites (FeO2,3 as models) are active, whereas two-iron assemblies (Fe 2O4,5 as models) are not, for the oxidation of CO; however, in the model catalytic cycles (FeO1-3 and Fe 2O3-5 as model catalysts, see cycles I and II in Figure 8, the most difficult (rate-limiting) step is O-O bond breaking. We thus give up choosing single irons as the best catalytic sites when plotting Figure 9. Although Fe2O4,5 clusters do not oxidize CO under the employed gas-phase conditions (limited CO pressure, bath gas cooling rate, and reaction time, two-iron assemblies on the surface of catalysts can coordinate a CO molecule as long as the rate constant for energy dissipation through surface phonons and bath gases is fast enough ≥ 1011 s-1, see the rate of direct dissociation of Fe2O4/7I1 → Fe2
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2 may be efficiently catalyzed by the iron oxides.
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