From metastability to equilibrium during the sequential growth of Co-Ag supported clusters: a real-time investigation.

Atomic motions and morphological evolution of growing Co-Ag nanoparticles are followed in situ and in real time, by wide and small angle X-ray scattering obtained simultaneously in grazing incidence geometry (GISAXS and GIWAXS), in single or multi-wavelength anomalous modes. The structural analysis of the experimental data is performed with the aid of equilibrium Monte Carlo simulations and of molecular-dynamics simulations of nanoparticle growth. Growth is performed by depositing Co atoms above preformed Ag nanoparticles. This growth procedure is strongly out of equilibrium, because Ag tends to surface segregation, and generates complex growth sequences. The real time analysis of the growth allows to follow the nanoparticle evolution pathways almost atom-by-atom, determining the key mechanisms during Co deposition: starting with the incorporation of Co atoms in sub-surface positions, to the off-center Co domain formation, then by which the nanoparticles finally approach their equilibrium quasi-Janus then core-shell structures.

Exotic behavior of the outer shell of bimetallic nanoalloys.

In order to build the phase diagram of Cu-Ag nanoalloys, segregation isotherms for the different sites of the outer shell of a 405-atom cluster have been obtained by means of Monte Carlo simulations using N-body interatomic potentials. A dynamical equilibrium in phase space is observed for the (001) facets as well as for the (111) facets of the truncated octahedron. For the (001) facets, the bistability originates from a structural transition, the facets oscillating collectively between a Cu-rich square shape of coordinence 4 and an Ag-rich diamond shape of coordinence 6. For the (111) facets, the bistability is purely chemical and affects each facet individually. We thus predict the possible coexistence of Cu-pure and Ag-pure (111) facets within the same nanoparticle.

Dynamical equilibrium in nanoalloys.

Using Monte Carlo simulations on a lattice-gas model, we study the segregation isotherm of a cluster made of thousands of atoms for a system that tends to phase separate, e.g., Cu-Ag. We show that the Ag segregation involves the vertices first, then the edges and finally the (111) and (100) facets. In these facets, the segregation starts on the outer shells, leading to a heterogeneous chemical composition. When the nominal Ag concentration (or the chemical potential difference delta(mu)c between Ag and Cu), is increased a dynamical equilibrium replaces the progressive evolution of the segregation towards the core of the facets: the whole facet oscillates between one pseudo Ag-pure state and another one corresponding to a rather Cu-pure core surrounded by Ag-enriched outer shells. A remarkable consequence is that very different concentrations can be observed for facets of equivalent orientation. This dynamical equilibrium occurs in a delta(mu) range that is very close to the critical value delta(mu)c associated with the first-order phase transition of the Fowler-Guggenheim type that affects the surfaces of semi-infinite alloys. These results, which have been obtained in the grand-canonical ensemble, can also be derived in the canonical ensemble due to a sufficient number of facets that behave with each other as a reservoir.

Superficial segregation in nanoparticles: from facets to infinite surfaces.

We compare the superficial segregations of the Cu-Ag system for a nanoparticle and for surfaces that are structurally equivalent to each of its facet. Based on a lattice-gas model and within a mean-field formalism, we derive segregation isotherms at various temperatures in the canonical ensemble, i.e., for a given overall solute concentration, and in the semigrand canonical ensemble, i.e., for a given bulk solute concentration. If both processes are very similar for high temperatures, they differ substantially at lower temperatures. Due to the finite-size effect and the indirect coupling between facets and edges, the relative position of the phase transitions of the facets and the corresponding surfaces is inversed when displayed as a function of the solute bulk concentration. Moreover, we show that working in the semigrand canonical ensemble is a much more efficient way to study this phenomenon, although nanoparticles are "canonical" objects in essence.

"Magic" heteroepitaxial growth on vicinal surfaces.

The step period (Lambda) of vicinal surfaces can be used as a new parameter for the control of metallic heteroepitaxial growth. This is evidenced here in the case of Ag/Cu(211). The deposition of 1 monolayer (ML) exhibits a c(2 x 10) superstructure leading to the formation of [111] steps in the Ag adlayer in contrast with the original [100] steps for the Cu substrate. This wetting layer can be viewed as a (133) Ag plane and it will be the starting point for the epitaxial growth. The deposition of 4 ML shows that the thin Ag film results homogeneous and no twins or stacking faults are detected. Moreover, the film grows along the [133] axis which is the orientation that minimizes the misfit between Cu(211) and the Ag film. Thus, the use of a regular stepped substrate allows one to select the crystallographic orientation of the growth and seems to be a way to avoid the creation of stacking faults.

Wetting and structural transition induced by segregation at grain boundaries: a monte carlo study.

Wetting of the Sigma = 5 (310) <001> symmetrical tilt grain boundary (GB) close to the solubility limit in the Cu(Ag) solid solution has been observed by means of Monte Carlo simulations at T = 600 K. More precisely, a finite thickness film almost pure in Ag, separating the two initial Cu(Ag) grains, can be obtained from a critical intergranular germ induced by the strong segregation of Ag in the GB. As this film is actually a single crystal, this implies a complete rearrangement of the GB core structure. Thus the initial GB is replaced by two Cu(Ag)/Ag(Cu) interfaces. Evidence is presented for the increase of the film thickness when approaching the solubility limit, as expected in wetting phenomena.