Chapter 17. Constriction and Boundary Resistance

  1. Prof. Dror Sarid

Published Online: 16 FEB 2007

DOI: 10.1002/9783527610068.ch17

Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition

Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition

How to Cite

Sarid, D. (2006) Constriction and Boundary Resistance, in Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610068.ch17

Author Information

  1. College of Optical Science, University of Arizona, Tucson, Arizona 85721, USA

Publication History

  1. Published Online: 16 FEB 2007
  2. Published Print: 15 DEC 2006

ISBN Information

Print ISBN: 9783527406173

Online ISBN: 9783527610068

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Keywords:

  • scanning probe microscopy;
  • MATHEMATICA;
  • constriction;
  • boundary resistance;
  • metal;
  • free electron gas;
  • constriction resistance;
  • boundary resistance

Summary

This chapter contains sections titled:

  • Introduction

  • A Metal as a Free Electron Gas

    • Lorenz Number, NLorenz, and the Wiedemann–Franz Law

    • Fermi Velocity, vF

    • Fermi Temperature, TF

    • Fermi k-Vector, kF

    • Electron Density, Ne

    • Mean Free Path, ℓ

    • Ratio of ℓ / σ

    • Electronic Density of States, De

    • Electronic Specific Heat, Ce

  • Constriction Resistance

    • Electrical Resistance in the Maxwell Limit

    • Electrical Resistance in the Sharvin Limit

    • Combined Electrical Resistance

  • Boundary Resistance

    • Thermal Boundary Resistance of General Media

    • Thermal Boundary Resistance of Metallic Media

    • Electrical Boundary Resistance of Metallic Media

  • Exercises for Chapter 17

  • References