We discuss the scattering of x-rays from thin films at a surface or interface decorated with a morphology of islands and how these effects manifest themselves in the specular reflectivity and the diflFuse (off-specular) scattering. We show how this technique has been used to study block copolymer films decorated with islands on the surface and the development of electrochemically induced pitting on a Cu electrode in an electrolyte solution.The availability of synchrotron radiation has made it possible to study in detail the in situ structure and morphology of films absorbed on solid or liquid surfaces. Specular x-ray reflectivity studies have been used to study the laterally averaged density profile of the films along the surface-noma1 direction, and off-specular scattering and grazing incidence diff-action have been used to study the in-plane structure. Scattering methods are in a sense complementary to various types of surface imaging microscopies, such as AFM, STM, etc., but have the advantage of being able to provide global statistical information about the surface without the need for digitizing and averaging the images. They also have the capabiIity to probe buried interfaces with very high resolution. In this paper, we shall review synchrotron scattering studies of the surface morphology and wetting properties of polymer films on solid substrates and of the morphology of pitted films obtained by the process of electrochemical corrosion.Consider a surface or interface consisting of a series of islands or pits on a flat reference interface as shown i n Fig. 1. The scattering process is indicated schematically.is the incident wavevector for the x-rays at grazing angle of incidence a, kl is the scattered x-ray wavevector at grazing angle of scattering p, and the wavevector transfx ij = k, -Go. We (A is the total surface area.) The second term subtracts the contribution of the average island density, which contributes only to S S W (~) .Thus the specular reflectivity yields information on the island height distribution function, while the off-specular yields the in-plane correlations between the islands. If there are strong nearest neighbor correlations, s(a) wiU have side peaks at finite ql, provided the distance between neighbors is within the x-ray coherence length across the surface (typically 10 y-20 p for a synchrotron experiment). In this sense, off-specular scattering is the analogue, for the in-plane structure, of small-angle scattering for bulk colloidal liquids (c.f the work of S.H. Chen and collaborators), but with far smaller 4'-vectors (and consequently much larger length scales) accessible. An expression that is more accurate than the Born approximation is that given by the so-called Distorted Wave Born Approximation (DWBA) [l] in which the scattered intensity is given by Here T(a) is the Fresnel transmission coefficient for the average surface at grazing angle of incidence a, and S(4) is the Born approximation expression with 4 replaced by its value inside the medium under the interface, i.e...