Quantum Mechanical Models of Metal Surfaces and Nanoparticles [Paperback]

This book proposes two simple quantum mechanical models for the analytical description of metal surfaces and nanoparticles. It gives an ostensive picture of the forces acting in a metal surface and deduces analytical formulae for the description of their physical properties. This book explains the relation between near-surface stress and familiar surface parameters. The concept of the separation of the three-dimensional body into three one-dimensional subsystems was applied. The content is of interest to all those working in the field of surface physics.Introduction.- The Model of Kronig and Penney.- Tamm's Electronic Surface States.- The Extension of the Kronig-Penney-Model by Binding Forces.- The Separation of the Semi-infinite Model and the Calculation of the Surface Parameters for the Three-dimensional Body at T = 0K.- The Surface Parameters for the Semi-infinite Three-dimensional Body at Arbitrary Temperature.- The Surface Free Energy and the Point of Zero Charge Determined for the Semi-infinite model.- A Model with a Limimited Number of Potential Wellss.- Surface Stress-Charge Coefficient (Estance).- Regard to the Spin in the Foregoing Texts.- Detailed Calculation of the Convolution Integrals.- Comparison of the Results for the Semi-infinite and the Limited Body.- Calculation of Surface Stress and Herrings Formula.- Miscellaneous and Open Questions. Nomenclature.- Subject Index.W. Gr?fe was born in 1938 in Berlin, Germany. He received his degree in physics from the Humboldt-Universit?t in Berlin (GDR) in 1962. In the following years he worked with semiconductors and semiconductor surfaces at the Akademie der Wissenschaften in Berlin. With the results of those investigations he received also at the Humboldt-Universit?t in 1969 the degree Dr. rer. nat. (Ph D). From 1971 he worked in the field of mechanical properties of mineral glasses. With the results of these investigations he received the degree Dr. sc. nat. in 1984 at the Akademie der Wissenschaften in Berl³i