Gold nanocrystals passivated by self‐assembled monolayers of straightchain alkylhiolate molecules have been obtained as highly purified molecular materials of high intrinsic stability. Evidence is presented for a predicted discrete sequence of energetically optimal fcc structures of a truncated octahedral morphological motif (see cover). The nanocrystal materials have a propensity to form extended superlattics, such as that in the Figure.

Molecular dynamics simulations and atomic force microscopy are used to investigate the atomistic mechanisms of adhesion, contact formation, nanoindentation, separation, and fracture that occur when a nickel tip interacts with a gold surface. The theoretically predicted and experimentally measured hysteresis in the force versus tip-to-sample distance relationship, found upon approach and subsequent separation of the tip from the sample, is related to inelastic deformation of the sample surface characterized by adhesion of gold atoms to the nickel tip and formation of a connective neck of atoms. At small tipsample distances, mechanical instability causes the tip and surface to jump-to-contact, which in turn leads to adhesion-induced wetting of the nickel tip by gold atoms. Subsequent indentation of the substrate results in the onset of plastic deformation of the gold surface. The atomic-scale mechanisms underlying the formation and elongation of a connective neck, which forms upon separation, consist of structural transformations involving elastic and yielding stages.

We review the historical and modern understanding of the most basic equation of friction, Amontons' law, which describes phenomena that were already understood and studied by Leonardo da Vinci 500 years ago. This law states that for any two materials the (lateral) friction force is directly proportional to the (normal) applied load, with a constant of proportionality, the friction coefficient, that is constant and independent of the contact area, the surface roughness, and the sliding velocity. No theory has yet satisfactorily explained this surprisingly general law; all attempts have been model or system dependent. We review the experimental evidence and find, for example, that the same friction coefficient is often measured for the same system of materials with junctions whose areas differ by more than 6 orders of magnitude. The trends obtained through molecular dynamics (MD) simulations agree with recent and past experiments and with Amontons' law, and they suggest that the local energy-dissipating mechanisms are not merely "mechanical", as assumed in most models, but "thermodynamic" in nature, like miniature irreversible compression-decompression cycles of the trapped molecules between the surface asperities as they pass over each other. The MD analysis reveals that, for such dynamic, nonequilibrium, energy-dissipating processes, a proper statistical description can be formulated through the use of the Weibull distribution of the local friction forces, which may be regarded to serve in this context a similar purpose as the Boltzmann distribution for classical systems at equilibrium. Another important conclusion is that the concept of the "real" area of contact is a nonfundamental quantity, whether at the nano-, micro-, or macroscale. However, it may serve as a convenient scaling parameter for describing the really fundamental parameters, which are the number density of atoms, molecules, or bonds involved in an adhesive or frictional interaction. Brief History of the Concept of the "Coefficient of Friction"