Here, the occurring distances are compared to the discrete distances of an ideal hexagonal water network, see Fig. in the SI, as well as Figs. and. In the double layer potential region, a distinct in-plane ordering of the adsorbed water molecules can be observed. With increasing potential though, a broadening of the peaks introduces noise, suggesting a less distinct ordering. This can be also traced back to the increasing coverage of H 2 O * , surpassing the coverage of the ideal hexagonal adsorbate structure (2/3 ML) at 0.37 V. For the surface oxidation potential region, the presence of O * is deciding: For E < 0.9 V, only OH In the water layer beyond the depleted region, in a distance of ∼ 4 -6.5 Å to the Pt(111) surface, no ordering kann be observed -independent of the applied potential. This is interpreted from a smooth distribution of the O-O distance distribution in Fig. (right) of the SI, featuring no distinct peaks as known from hexagonal motifs.