It is well known that PT in water, Nafion, and other hydrated materials involves both the Grotthuss mechanism and vehicular transport. In contrast, PT on graphanol must involve only the Grotthuss mechanism, since vehicular transport is not possible. Thus, we expect that a proton on an HOH group (e.g., the green atom in Figure ) will hop to one of the six neighboring OH groups, creating a new HOH group. Then, either the initial proton will hop back to the original OH group or the other H atom on the new HOH group will hop, as a "new" proton, to a third OH group. Our hypothesis is that for this process to lead to long-range PT it must also involve OH rotations. This is because the initial set of OH orientations cannot provide pathways to traverse the entire simulation cell. Hence, the apparent value of E A must be a convolution of the intrinsic barrier for a proton to hop from one O atom to another O atom and the intrinsic barrier for OH rotation.