Where <x 2 > is the mean square displacement of the lithium ions, d the dimensionality of diffusion and t the simulation time. DJ and Dtr differ in the way <x 2 > is calculated. For Dtr, <x 2 > is directly obtained from the AIMD simulation. For DJ , <x 2 > is calculated by summing up the jump-distances and averaging over the number of Li ions: