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A single Pd atom embedded in mono-and divacancy on graphene(Pd1m-G vs.Pd1d-G),as well as a Pd dimer respective embedded in divacancy,trivacancy and quadvacancy on graphene(Pd2d-G vs.Pd2t-G vs.Pd2q-G)were employed to catalyze formic acid decomposition by using density functional theory calculations.It is found that formic acid prefers the formate route dehydrogenation reaction instead of dehydration reaction on these models.