This study investigates the structural, electronic, and catalytic properties of PdM (M = Ni, Cd, Ag, Co, Cr, Mn, Fe) bimetallic-doped graphene nanosheets (G-PdM) for formic acid (FA) decomposition via DFT calculations in both gas and aqueous phases. Binding energy analysis reveals that G-PdMn exhibits the strongest metal-graphene interaction (−14.20 eV in solution), while G-PdCd shows the weakest (−1.45 eV in gas phase). Mechanistic studies of FA decomposition for hydrogen production via the carboxyl pathway reveal that C–H bond activation is the rate-limiting step, with G-PdFe exhibiting the highest catalytic activity in the gas phase (k1 = 3.82 × 107 s −1, ΔG‡ = 29.74 kJ/mol). In contrast, G-PdAg shows severe solvent inhibition (k1 = 9.30 × 10−70 s−1 in solution). Thermodynamic and kinetic analyses demonstrate that solvent has a significant influence on reaction barriers, with aqueous-phase entropic penalties (e.g., ΔS‡ = 1229.70 J/mol K for G-PdNi) altering catalytic performance. These findings highlight G-PdFe, G-PdMn, and G-PdNi as optimal candidates for hydrogen production, offering insights for designing efficient graphene-based catalysts.
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