“…For diffusive fractionation, we use 18 ε diffusion = -3.3‰, θ 17/18, diffusion = 0.5146, θ 35/34, diffusion = 1.462, and θ 36/34, diffusion = 1.900. The 18 ε diffusion value is derived by raising the measured 18 α value for kinetic fractionation of O 2 during gas exchange to 3/2 power; the mass dependence is for interdiffusion through 2 water molecules, which is consistent with experimental results in both 18 ε diffusion and θ values 29,118 . For enzymatic fractionation, we use θ 17/18, enzyme = 0.5233, θ 35/34, enzyme = 1.555, and θ 36/34, enzyme = 2.061, the simplified bond-breaking mass dependence, which has θ 35/34 and θ 36/34 values between that of heme-O 2 binding and one-electron reduction of O 2while keeping a similar θ 17/18 value.…”