From the top panel in Figure , we can clearly distinguish the individual ACF C Q for LiS 6 sites (green), LiS 4 sites (blue), and hopping events between the sites, as there is a steep rise (or drop) in the ACF C Q at each hopping event. Taking the average over all 13 Li sites, the hACF C Q i does exhibit an exponential decay. Fitting the hACF C Q i in Figure to Equation , we find a decay time of ⌧ = 1.19 µs, or a Li hopping rate of 8.41⇥10 5 s 1 . This is on the same order of magnitude as the Li hopping rate extracted from the MSD, 2.57⇥10 5 s 1 . Additionally, by removing the orientation dependence, and averaging over only the hopping sites, we achieve better signal to noise ratio, and can more clearly distinguish the small initial decay at (t m < 50 ns).