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.
Author(s): Wolfgang Gräfe (auth.)
Series: SpringerBriefs in Applied Sciences and Technology
Edition: 1
Publisher: Springer International Publishing
Year: 2015
Language: English
Pages: 100
Tags: Surfaces and Interfaces, Thin Films; Theoretical, Mathematical and Computational Physics; Characterization and Evaluation of Materials
Front Matter....Pages i-xiv
Introduction....Pages 1-7
The Model of Kronig and Penney....Pages 9-13
Tamm’s Electronic Surface States....Pages 15-18
The Extension of the Kronig–Penney Model by Binding Forces....Pages 19-23
The Separation of the Semi-infinite Model and the Calculation of the Surface Parameters for the Three-Dimensional body at T = 0 K (Regula Falsi of Surface Theory)....Pages 25-34
The Surface Parameters for the Semi-infinite Three-Dimensional Body at Arbitrary Temperature....Pages 35-41
The Surface Free Energy φ and the Point of Zero Charge Determined for the Semi-infinite Model....Pages 43-51
A Model with a Limited Number of Potential Wells....Pages 53-68
Surface Stress-Charge Coefficient (Estance)....Pages 69-71
Regard to the Spin in the Foregoing Texts....Pages 73-73
Detailed Calculation of the Convolution Integrals....Pages 75-80
Comparison of the Results for the Semi-infinite and the Limited Body....Pages 81-84
Calculation of Surface Stress and Herring’s Formula....Pages 85-89
Miscellaneous and Open Questions....Pages 91-98
Back Matter....Pages 99-100
