X-RAY SCATTERING FROM LIQUID METAL SURFACES

E. DiMasi and B.M. Ocko, Brookhaven National Laboratory

H. Tostmann and P.S. Pershan, Harvard University

M. Deutsch, Bar-Ilan University, Israel


The liquid metal surface provides a unique system for testing theories relating the structure and electronic properties of metals.

Metallic or insulating behavior is directly related to the degree to which the outermost electrons are localized around their atoms. When the electrons are too tightly bound to carry electrical current, the system is insulating. A more delocalized electronic structure allows metallic behavior. These features are common to both solid and liquid metals.

The electronic configuration also bears directly on the atomic structure of a material, since the attraction between the valence electrons and the ion cores provides the cohesive force that holds the material together. These interactions determine the position of each atom relative to its nearest neighbors. In solids, atoms form rigid arrangements in accordance with the electronic constraints. Theories addressing the electronic properties of crystalline metals and semiconductors rely heavily on the details of the atomic structure.

For liquids, the interplay between structure and electronic structure is more subtle and difficult to model. Liquids have no long-range order, and their structure can be characterized only in terms of average distances between the freely moving atoms. Even though the interatomic interactions are very different for metallic and dielectric liquids, the average structure in the bulk can be very similar.

The atomic structure of the liquid surface, however, reveals fundamental differences produced by the electronic properties. At the surface of a dielectric liquid, forces between the atoms remain essentially the same as the density decreases across the interface, since electrons are localized in both liquid and vapor (a). By contrast, at the liquid--vapor interface of a metal, the delocalized conduction electrons are terminated at the vapor interface. This produces a unique structure, in which the atoms are stratified in layers parallel to the surface (b).

This surface layering phenomenon, unique to metallic liquids, was long predicted by theory but only recently verified experimentally, by our collaboration's synchrotron x-ray reflectivity measurements. The high flux available at the synchrotron allows these x-ray scattering measurements to extend to the length scale of an atomic spacing, where a peak in the reflectivity (c) indicates that the liquid density oscillates near the surface (d). While this feature is present in all elemental liquid metals studied to date, there remain differences in the metals' layering length scales and temperature dependences that are still not well understood.

 

Moreover, application of surface x-ray scattering to liquid metal alloys has revealed a rich variety of structures and temperature-dependent phases. For example, in some alloys a single layer of one species segregates at the surface. In others more macroscopic phase separation occurs. We have also studied the structure of the liquid metal surface under controlled oxidation, which provides complementary information to similar studies carried out on solid metal surfaces. Our work on the structure of liquid metal surfaces is expected to be relevant to liquid metal catalysis and to molten metal processing and corrosion, in addition to its fundamental importance.

(a) Liquid--vapor interface of a dielectric liquid. While the density is lower in the vapor region (left of dashed line), electrons (shading) are well localized around the atoms (solid circles) in both phases.

(b) The liquid metal is characterized by a conduction electron sea (shaded area), and atoms are stratified in layers parallel to the surface.

(c) X-ray reflectivity measurements taken at the National Synchrotron Light Source for liquid Mercury (-36° C, circles), Gallium (+25° C, squares), and Indium (170° C, triangles) near their melting points. (Curves are offset for clarity.) Peaks in the reflectivity at 2.2--2.4 Å -1 indicate the presence of surface layering.

(d) Density profiles extracted from the reflectivity measurements show oscillations that are pronounced near the surface, and decay into the bulk. Because high temperatures wash out the surface layering, low temperature measurements find larger density oscillations (corresponding to more pronounced peaks in (c)).