In contrast to ice Ih, in which the translational diffusion of water molecules is faster than their reorientation, the good correlation between proton magnetic resonance line narrowing and dielectric relaxation rates of the water molecules which form the structure I clathrate hydrate lattice suggests that reorientation is the faster process. This is certainly so for the hydrate of ethylene oxide-d4, for which two separate line-narrowing regions are observed. Both processes depend on the nature of the guest molecule.