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Quantum Mechanical Models of Metal Surfaces and Nanoparticles

  • Book
  • © 2015

Overview

Authors:
  1. Wolfgang Gräfe

    1. Berlin, Germany

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  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Wolfgang Gräfe
    Pages 1-7

  3. The Model of Kronig and Penney

    • Wolfgang Gräfe
    Pages 9-13

  4. Tamm’s Electronic Surface States

    • Wolfgang Gräfe
    Pages 15-18

  5. The Extension of the Kronig–Penney Model by Binding Forces

    • Wolfgang Gräfe
    Pages 19-23

  6. 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)

    • Wolfgang Gräfe
    Pages 25-34

  7. The Surface Parameters for the Semi-infinite Three-Dimensional Body at Arbitrary Temperature

    • Wolfgang Gräfe
    Pages 35-41

  8. The Surface Free Energy φ and the Point of Zero Charge Determined for the Semi-infinite Model

    • Wolfgang Gräfe
    Pages 43-51

  9. A Model with a Limited Number of Potential Wells

    • Wolfgang Gräfe
    Pages 53-68

  10. Surface Stress-Charge Coefficient (Estance)

    • Wolfgang Gräfe
    Pages 69-71

  11. Regard to the Spin in the Foregoing Texts

    • Wolfgang Gräfe
    Pages 73-73

  12. Detailed Calculation of the Convolution Integrals

    • Wolfgang Gräfe
    Pages 75-80

  13. Comparison of the Results for the Semi-infinite and the Limited Body

    • Wolfgang Gräfe
    Pages 81-84

  14. Calculation of Surface Stress and Herring’s Formula

    • Wolfgang Gräfe
    Pages 85-89

  15. Miscellaneous and Open Questions

    • Wolfgang Gräfe
    Pages 91-98

  16. Back Matter

    Pages 99-100
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Keywords

About this book

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.

Authors and Affiliations

  • Berlin, Germany

    Wolfgang Gräfe

About the author

W. Gräfe was born in 1938 in Berlin, Germany. He received his degree in physics from the Humboldt-Universität 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-Universität 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 Berlin. From 1991 till his retirement in 2001 he was employed in a federal administrative authority in Berlin.

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