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Titlebook: Quantum Mechanical Models of Metal Surfaces and Nanoparticles; Wolfgang Gräfe Book 2015 The Editor(s) (if applicable) and The Author(s), u

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发表于 2025-3-21 19:43:08 | 显示全部楼层 |阅读模式
书目名称Quantum Mechanical Models of Metal Surfaces and Nanoparticles
编辑Wolfgang Gräfe
视频video
概述Proposes two simple quantum mechanical models for the analytical description of metal surfaces and nanoparticles.Explains the relation between near-surface stress and familiar surface parameters.Inclu
丛书名称SpringerBriefs in Applied Sciences and Technology
图书封面Titlebook: Quantum Mechanical Models of Metal Surfaces and Nanoparticles;  Wolfgang Gräfe Book 2015 The Editor(s) (if applicable) and The Author(s), u
描述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.
出版日期Book 2015
关键词Convolution Integrals; Electronic Surface States; Potential Wellss; Semi-infinite body; Semi-infinite mo
版次1
doihttps://doi.org/10.1007/978-3-319-19764-7
isbn_softcover978-3-319-19763-0
isbn_ebook978-3-319-19764-7Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Detailed Calculation of the Convolution Integrals, of this density function have been determined. For differentiation of surface energy with respect to the strain ε, according to Herring’s equation the extended Leibniz rule has been applied. The area of integration for the practical accomplishment of the convolution procedure is depicted.
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,Tamm’s Electronic Surface States,The one-dimensional body shall have a surface at . = 0. This surface is physically described by a step of the potential energy ... As Tamm has shown, electrons can be localized at the surface of the body. The energies . and the attenuation lengths. for the two resulting Tamm’s electronic surface states have been calculated.
发表于 2025-3-22 23:13:15 | 显示全部楼层
Surface Stress-Charge Coefficient (Estance),The surface stress-charge coefficient (Estance) has been calculated for the semi-infinitely extended three-dimensional body and for a nanocube with 10×10×10 atoms. For the semi-infinite body the calculated quantity ς. = dσ./d. amounts to nearly −1.34 V in the range of the chemical potential between 1.1 × 10. J and 1.4 × 10. J.
发表于 2025-3-23 02:53:36 | 显示全部楼层
Regard to the Spin in the Foregoing Texts,Now we consider the influence of the spin on the foregoing results. For this, we complete the wave functions for the three-dimensional space.(.) by the eigenfunctions of the spin operator χ. and χ.
发表于 2025-3-23 08:54:31 | 显示全部楼层
Comparison of the Results for the Semi-infinite and the Limited Body,The results for the semi-infinite and the limited bodies are compared. The findings obtained with the different models for the offspring surface state and the surface free energy are similar but, not identical.
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