Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Preliminaries
- 2 Molecular Orbitals/Potentials/Dynamics, and Quantum Energy States
- 3 Carrier Energy Transport and Transformation Theories
- 4 Phonon Energy Storage, Transport and Transformation Kinetics
- 5 Electron Energy Storage, Transport and Transformation Kinetics
- 6 Fluid Particle Energy Storage, Transport and Transformation Kinetics
- 7 Photon Energy Storage, Transport and Transformation Kinetics
- APPENDIX A Tables of Properties and Universal Constants
- APPENDIX B Derivation of Green–Kubo Relation
- APPENDIX C Derivation of Minimum Phonon Conductivity Relations
- APPENDIX D Derivation of Phonon Boundary Resistance
- APPENDIX E Derivation of Fermi Golden Rule
- APPENDIX F Derivation of Equilibrium, Particle Probability Distribution Functions
- Nomenclature
- Abbreviations
- Glossary
- Bibliography
- Index
5 - Electron Energy Storage, Transport and Transformation Kinetics
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Preliminaries
- 2 Molecular Orbitals/Potentials/Dynamics, and Quantum Energy States
- 3 Carrier Energy Transport and Transformation Theories
- 4 Phonon Energy Storage, Transport and Transformation Kinetics
- 5 Electron Energy Storage, Transport and Transformation Kinetics
- 6 Fluid Particle Energy Storage, Transport and Transformation Kinetics
- 7 Photon Energy Storage, Transport and Transformation Kinetics
- APPENDIX A Tables of Properties and Universal Constants
- APPENDIX B Derivation of Green–Kubo Relation
- APPENDIX C Derivation of Minimum Phonon Conductivity Relations
- APPENDIX D Derivation of Phonon Boundary Resistance
- APPENDIX E Derivation of Fermi Golden Rule
- APPENDIX F Derivation of Equilibrium, Particle Probability Distribution Functions
- Nomenclature
- Abbreviations
- Glossary
- Bibliography
- Index
Summary
The solid electric thermal conductivity tensor Ke, in addition to the phonon thermal conductivity tensor (i.e., total conductivity K</b< = Ke = Kp), determines heat conduction in solids through the Fourier law qk = −K · ∇T. The average heat capacity of an electron cv,e is small, except at high temperatures. Electrons can also have a net motion under an applied electric field ee, thus creating opportunities for exchange of their gained kinetic energy, e.g., with the lattice through inelastic scattering in Joule heating. The coupling of electronic and thermal transport, known as thermoelectricity, leads to Peltier heating/cooling.
In Section 2.6.5, we examined the electronic energy states of an idealized electron gas by solving the Schrödinger equation for the case of a collection of free electrons. In Section 2.6.6 we also derived the electronic energy states of hydrogen-like atoms, along with the designation of the quantum numbers and atomic orbitals. As atoms gather in a cluster or a bulk phase, their orbiting electrons and their energy states are altered because of various nuclear and electronic interactions (Section 2.2), including representation as interatomic potentials. These interactions may increase or decrease the energy gaps between the electron orbital states of individual atoms. The electrons can gain sufficient energy to be free (conduction) electrons or lack this and be bounded (valence) electrons. If a significant electronic energy gap exists between these two electron states, then this cluster or bulk matter may become an electrical insulator.
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- Information
- Heat Transfer Physics , pp. 280 - 390Publisher: Cambridge University PressPrint publication year: 2008