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We measured the self-diffusion coefficients of water in a Nafion membrane and two sulfonated polyethersulfone (SPES) membranes with varying ion-exchange capacities (IEC) in terms of relative humidity using the pulse field gradient NMR (PFG-NMR) technique. The self-diffusion coefficients were plotted against the number of water molecules per sulfonic acid group, λ, and compare these values with the results of molecular dynamics (MD) simulations. Classical MD simulations for all membranes were carried out using a consistent force field at λ = 3, 6, 9, 12, and 15. The dynamic properties of water (HO) and hydronium (HO) on a molecular level were estimated as self-diffusion coefficients and residence times around a sulfonate group ( $$ {\text{SO}}_3^{-} $$). The diffusion coefficients of HO and HO followed the order, Nafion > SPES with IEC = 1.4 > SPES with IEC = 1.0 > SPES with IEC = 0.75, which agreed with the experimental data. The residence time distribution of HO around $$ {\text{SO}}_3^{-} $$ in Nafion was in the range of 1-6 ps, whereas HO in the SPES exhibited a residence time of greater than 20 ps. [ABSTRACT FROM AUTHOR]

We measured the water uptakes and proton conductivities of a Nafion membrane and three sulfonated polyether sulfone membranes (SPESs) with different values of ion-exchange capacity (IEC = 0.75, 1.0 and 1.4 meq/g) in relation to relative humidity in order to apply the findings to polymer electrolyte membrane fuel cells. The number of water molecules per sulfonic acid group λ at each humidity level was independent of the relative humidity for all membranes, but the proton conductivities of the SPESs were inferior to that of Nafion for the same λ value. Classical molecular dynamics simulations for the same membranes were carried out using a consistent force field at λ = 3, 6, 9, 12 and 15. The structural properties of water molecules and hydronium ions at a molecular level were estimated from radial distribution functions and cluster size distributions of water. We found that the radial distribution function of S(sulfonic acid)-S(sulfonic acid) of Nafion at λ = 3 indicated a significant correlation between the S-S pair, due to water channels, while the S-S pair of the SPESs showed a poor correlation. The cluster size distribution of water was also calculated in order to estimate the connectivity of the water channel. It is clear that some water is present in the SPESs as small, isolated clusters, especially when the water content is low. [ABSTRACT FROM AUTHOR]