Experimentally, the Grahnwehr group has observed ⌧ SAE ⇡ 30 50 ms in a polycrystalline sample of beta-LPS, which is well above the intra-grain decay rates we have predicted here . This can likely be rationalized by sufficiently fast (⌧  1 µs) intra-grain diffusion leading to partially averaged coupling tensors, combined with long timescale inter-grain diffusion processes between the polycrystalline grains (⌧ SAE ⇡ ms). However, determining the rates and mechanisms of these processes which combine to give an experimental decay rate in the ms time scale, requires dynamical NMR crystallography and analysis techniques that allow one to unfold the various timescales and effective partially averaged interaction tensors contained in the measured data . From this point onward, we now have the capability to make such an approach, by combining dynamical ssNMR with data analysis and simulations to interpret the unfolded data in terms of atomistic processes.