“…where k B is Boltzmann's constant, T is absolute temperature, h is Planck's constant, and ΔG ≠ is the difference in Gibbs free energy between the initial state and transition state of the reaction. of a central atom X (commonly seen were B, Al, Ga, Si, Ge, P, As, S, and so on), 45,46 coordination atoms M (mainly including Mo, W, V, and Nb), 46,47 Molybdenum-based HPA compounds had been successfully applied in the selective oxidation of MAL to MAA due to their suitable acid and redox properties. 1,2 To study the influence of transition metals with similar properties in the fifth and sixth secondary groups on the redox properties of phosphorus molybdenum HPAs, the models were established by replacing one molybdenum atom with tungsten, vanadium, niobium, and tantalum atoms, namely, PMo 11 Figure 2 shows diagrams of substituted HPAs after structure optimization.…”