The Electronic Structures of Solids

Contents


1 Electronic Structure of Atoms


1.1 Introduction


1.2 The Hydrogen Atom


1.3 The Many-Electron Atom


1.4 The Many-Electron States of Atoms

Appendix A.1.1: Hydrogenic Wave Functions

Appendix A.1.2: The States of A Two-Electron Atom


2 Bonding Between Atoms


2.1 Introduction


2.2 Molecular Orbitals in H⁺2 and H2


2.3 Bonding With p- and d-Functions


2.4 The Metallic Bond


2.5 Other Contributions to Bonding in Solids


2.6 Bonding Energies and Structures in the Solid Elements


3 Electrons in Metals: The Free-Electron Gas


3.1 Introduction


3.2 Eigenstates of a Free-Electron Gas


3.3 Soft X-Ray Emission Spectra and E max


3.4 The Density of States N(E)E max and The Electronic Specific Heat


3.5 Electrical Conductivity


3.6 Failures of the Free-Electron Model


4 Electrons in Metals: Interaction With The Crystal Lattice


4.1 Consequences of the Periodic Potential


4.2 Diffraction by A Periodic Potential


4.3 Brillouin Zones and The Nearly-Free-Electron Model


4.4 Electron Eigenstates in A Crystal


4.5 The Tight-Binding Model For D-States


4.6 The Calculation of Band Structures


4.7 Collective Electron Models For Alloys


4.8 The Electronic Structures of the Metallic Elements

Appendix A.4.1 : Zone Structures For The Common Metallic Structures


5 Metals, Insulators and Semiconductors


5.1 Introduction


5.2 Full and Empty Bands


5.3 Semiconductors: Electrons and Holes


5.4 The Dynamics of Electrons and Holes


5.5 Doped Semiconductors


5.6 Compound Semiconductors


5.7 The Optical Properties of Solids


6 Special Topics


6.1 Introduction: Beyond Simple Bloch States


6.2 Disordered Materials and The Metal—Insulator Transition


6.3 Liquids and Glasses


6.4 A Note On Superconductivity

Further Reading

Subject Index