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Introduction to Scanning Tunneling MicroscopySecond Edition$
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C. Julian Chen

Print publication date: 2007

Print ISBN-13: 9780199211500

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780199211500.001.0001

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Atomic Forces

Atomic Forces

Chapter:
(p.93) Chapter 4 Atomic Forces
Source:
Introduction to Scanning Tunneling Microscopy
Author(s):

C. Julian Chen

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199211500.003.0004

This chapter discusses the physics and properties of four types of atomic forces occurring in STM and AFM: the van der Waals force, the hard core repulsion, the ionic bond, and the covalent bond. The general mathematical form of the van der Waals force between a tip and a flat sample is derived. The focus of this chapter is the covalent-bond force, which is a key in the understanding of STM and AFM. The concept of covalent bond is illustrated by the hydrogen molecular ion, the prototypical molecule used by Pauling to illustrate Heisenberg's concept of resonance. The Herring-Landau perturbation theory of the covalent bond, an analytical incarnation of the concept of resonance, is presented in great detail. It is then applied to molecules built from many-electron atoms, to show that the perturbation theory can be applied to practical systems to produce simple analytic results for measurable physical quantities with decent accuracy.

Keywords:   van der Waals force, hard-core repulsion, ionic bond, covalent bond, hydrogen molecular ion, quantum-mechanical resonance, perturbation theory, many-electron atoms

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