“…[32][33][34][35][36][37] In these systems, Group 11 metals segregate to the surface after annealing, while Group 10 metals migrate to the subsurface, forming core@shell nanostructures. 22 The thermodynamics of such segregation phenomenon has been studied extensively in the computational literature as a function of size mismatch, miscibility, composition, cluster size, cluster shape, and temperature, especially for Pd-doped Group 11 systems: Pd@Cu; 19,31,[38][39][40][41][42][43][44] Pd@Ag; Pd@Au. 45,62,68,[70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85] Thermodynamically, surface segregation can be understood within the framework of the quasi-chemical approximation, 86 where surface and subsurface species are modeled to be in a state of chemical equilibrium.…”