Book contents
- Frontmatter
- Contents
- Introduction
- 1 Localized and itinerant electrons in solids
- 2 Isolated transition metal ions
- 3 Transition metal ions in crystals
- 4 Mott–Hubbard vs charge-transfer insulators
- 5 Exchange interaction and magnetic structures
- 6 Cooperative Jahn–Teller effect and orbital ordering
- 7 Charge ordering in transition metal compounds
- 8 Ferroelectrics, magnetoelectrics, and multiferroics
- 9 Doping of correlated systems; correlated metals
- 10 Metal–insulator transitions
- 11 Kondo effect, mixed valence, and heavy fermions
- Appendix A Some historical notes
- Appendix B A layman's guide to second quantization
- Appendix C Phase transitions and free energy expansion: Landau theory in a nutshell
- References
- Index
- Periodic Table of the Elements
2 - Isolated transition metal ions
Published online by Cambridge University Press: 05 November 2014
- Frontmatter
- Contents
- Introduction
- 1 Localized and itinerant electrons in solids
- 2 Isolated transition metal ions
- 3 Transition metal ions in crystals
- 4 Mott–Hubbard vs charge-transfer insulators
- 5 Exchange interaction and magnetic structures
- 6 Cooperative Jahn–Teller effect and orbital ordering
- 7 Charge ordering in transition metal compounds
- 8 Ferroelectrics, magnetoelectrics, and multiferroics
- 9 Doping of correlated systems; correlated metals
- 10 Metal–insulator transitions
- 11 Kondo effect, mixed valence, and heavy fermions
- Appendix A Some historical notes
- Appendix B A layman's guide to second quantization
- Appendix C Phase transitions and free energy expansion: Landau theory in a nutshell
- References
- Index
- Periodic Table of the Elements
Summary
After having presented briefly in Chapter 1 the general approach to the description of correlated electrons in solids using a simplified model – the nondegenerate Hubbard model (1.6) – from this chapter on we turn toward a more detailed treatment of the physics of transition metal compounds, which will take into account the specific features of d-electrons. The well-known saying is that “the devil is in the details.” Thus if we want to make our description realistic, we have to include all the main features of the d states, the most important interactions of d-electrons, etc. We begin by summarizing briefly in this chapter the basic notions of atomic physics, with specific applications to d-electrons in isolated transition metal ions. For more details, see the many books on atomic physics; specifically for application to transition metals, see Ballhausen (1962), Abragam and Bleaney (1970), Griffith (1971), Cox (1992), and Bersuker (2010).
Elements of atomic physics
Here we recall some basic facts from atomic physics, which will be important later on. We give here only a very sketchy presentation; one can find the details in many specialized books on atomic physics, for example the works cited above and Slater (1960, 1968).
The state of an electron in an atom is characterized by several quantum numbers.
- Type
- Chapter
- Information
- Transition Metal Compounds , pp. 25 - 36Publisher: Cambridge University PressPrint publication year: 2014