Various length scales that become relevant in study of emergent properties. The plot of surface-to-volume ratio for cylindrical geometry assumes L ≫ D, or in the present case, assumes that the end caps of the cylinder are excluded since the sample is confined between the AFM tip and the substrate.
Simultaneously measured force and conductance as an initially large Au sample is being controllably ruptured from bulk down to a single-atom. Inset shows a zoom-in view of a section of the force and conductance traces. Each slope represents a different atomic configuration.
Simultaneously measured conductance and force as an initially large Au50Ag50 alloy sample is being controllably ruptured from bulk down to a single-atom. Each slope represents a different atomic configuration.
Size dependence of strength at room temperature for pure Au (green) and pure Ag (red). Inset shows size dependence of strength in Au75Ag25 alloy.
Plot of strength at the emergent length scales in Au-Ag alloys at room temperature (upper plot) along with its contour representation (below). Various length scales and transition in deformation modes correspond to the case of pure Au.
Plot of modulus at the emergent length scales in Au-Ag alloys at room temperature.
Schematic showing various measurable quantities of interest as one atomic configuration is broken to form another one between the AFM tip and the substrate coated with the same material.
Emergent map of deformation modes in Au-Ag alloys at room temperature plotted in terms of discrete atomic displacements as a sample is ruptured from one size to another.
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