Simon L. Altmann

The structure of much of solid-state theory comes directly from group theory, but until now there has been no elementary introduction to the band theory of solids which adopts this approach. This book provides such an introduction, employing only the simplest and most basic of group theoretical
ideas, and emphasizing the significance of symmetry in determining many of the essential concepts used in the subject.

Given the extensive training of chemists in applying group theory, there is no quicker entry into the subject than by means of the approach used in this book. Many topics
were chosen with the needs of chemists in mind, and many of the examples have a chemical flavour. Numerous problems are included which enable the reader to apply the major ideas and to complete some parts of the treatment. Chemists will find this a valuable introduction to band theory, and the book
will also appeal to all physical scientists who would like to go a little beyond the elementary treatments so far available.

0. Notation

1. The free-electron picture

2. Symmetry and group theory

3. Space groups

4. The reciprocal lattice and the Fourier series

5. Block functions and Brillouin zones

6. Space group representations

7. The representation of space groups: an example

8.
Brillouin zones and energy bands

9. Bands and Fermi surfaces in metals and semiconductors

10. Methods of calculation of band structures

11. Phonons and conductivity

12. Phase stability

13. Wannier functions and Löwdin orbitals

14. Surface and impurity states

15. Solutions
to the problems

References

Index

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Simon L. Altmann is at Brasenose College, Oxford.