Fig. 3: Surface and interface strain behavior, radial strain profile, and surface ORR activity.

a–b Pole figures obtained from stereographic projections of the radial strain at the interface and surface for the upper (a), and lower (b) hemispheres, respectively. The Miller indices of low-index facets are marked at the average position of the surface atoms assigned to each facet (Methods). c A scatter plot showing the relation between the observed radial strains of surface and interface atoms. Each data point was obtained by paring each interface atom with the corresponding surface atom along the radial direction (Methods). A Pearson correlation coefficient (R) of 0.74 and slope of 0.87 were obtained from a linear regression (red line). d The radial strain plotted as a function of the distance from the interface. Each data point and error bar represent an average and standard deviation of the strain values within the bins of 3 Å distance interval, respectively. e Pole figures obtained by stereographic projections of the volumetric strain at the surface for the upper and lower hemispheres. f Pole figures obtained from stereographic projections of the surface ORR activity for the upper and lower hemispheres. The ORR activity is represented as ln (j/jPt,(111)) where j is the current density. The Miller indices of low-index facets are marked at the average position of the surface atoms assigned to each facet (Methods). Source data of c and d are provided as a Source Data file.