“…Within the five independent simulations at each temperature, we observed a total of four hydrogen-interchange events at 250 K and eight hydrogen-interchange events at 260 K, which correspond to a hydrogen-interchange rate of ∼10 4 s –1 per water molecule, whereas hundreds of such events, which corresponds to a hydrogen-interchange rate of ∼10 6 s –1 per water molecule, can be observed at the high temperature of 300 K. With the measured the hydrogen-interchange rate, we can estimate the associated free energy of activation using eq . Figure shows the linear regression results of the measured hydrogen-interchange rates (ln( k / T )) versus temperatures (1/ T ), from which we can calculate that the 95% confidence interval for the rate of the hydrogen interchange is 1.3 × 10 5 –2.4 × 10 5 s –1 per water molecule, and the 95% confidence interval for the associated free energy of activation is 38.2–39.4 kJ/mol at 270 K. These values are comparable to previous results from all-vapor experiments, − supersonic nozzle experiments, and thermodynamics calculations , of clathrate hydrates with hydrogen-bonding guests but under much lower temperatures, indicating the effects of the hydrogen-bonding guests on inducing the defect formation and accelerating the mass diffusion in gas hydrates. Note while previous experimental studies using NMR techniques have studied the water reorientation processes within gas hydrate systems, − for example, the activation energy of water reorientations in THF hydrates is determined to about 31 kJ/mol, ,, the particular type of water reorientations discussed in this paper may not be identified directly in these NMR experiments where all the possible water orientations are sampled over time.…”