
This book chapter provides an overview of the progress made in the last decade on theoretical modeling and computer simulation of strain-mediated formation of nanostructures on surface, focusing on strain-induced self-assembly and self-organization of two-dimensional patterns and structures. As part of a handbook, the main objective is to provide a general introduction of the basic concepts and physical models along with some relatively detailed discussion of mathematical derivations and technical treatments so that readers, especially graduate students who are interested in this topic can use this chapter as a guide and reference to start their own modeling and simulation.
This encyclopedia article gives an overview of basic concepts and fundamental principles underlying the structure of solid surfaces and interfaces. A brief discussion of surface thermodynamics is provided in the context of the Gibbs model, and the relationship between surface stress and surface tension for a solid surface is established. Basic definitions and notations of surface crystallography are introduced for the description of structures of single-crystal surfaces. Surface relaxation and surface reconstruction are discussed in detail and illustrated with examples of semiconductor and metal surfaces. Underlying physical mechanisms relating the atomic structure to the electronic structure are summarized. A qualitative description of the morphology of real surfaces, interfaces, and thin films is provided.