Fig. 1: The design concept for optimizing the thermodynamic stability of ternary alloy catalysts in this work.

a Triangle plots showing the design of Pt20PdnCu80–n alloy NPs in terms of Pt, Pd, and Cu atomic percentages and the actual alloy NPs of selected compositions tested in this work. b Composition correlation of the lattice constant and the mass activity. Upper panel: the mass activities. Bottom panel: the lattice constant (determined by HE-XRD/PDFs) vs. composition for the as-prepared NP catalysts (error bars represent s.d. based on three independent experiments). The red and black columns represent the Cu-rich and Pt/Pd-rich phases, respectively.