Fig. 4
From: Transparent proton transport through a two-dimensional nanomesh material

Transparent proton transport via the characteristic interfacial water structure. a Oxygen density distribution along surface normal of graphdiyne membrane. b Probability distribution of the excess proton as a function of δ and dOO in trans-membrane (TM) step (i) sampled in all 10 equilibrium simulations. c The free energy profile for the excess proton in TM step (i) and in bulk water. The thermal energy kBT at 300 K is marked as the horizontal dashed line. d Distribution of dOO for the excess proton in TM step (i) and in bulk water