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.
'S. L. Altman has here written a very good book on symmetry in solids.'
Michael C. Böhm, Institut für Physikalische Chemie der Technischen Hochschule Darmstadt, Angewandte Chemie, 31/8 1992
'The general approach of the book should appeal to all physical scientists who would like to go a little beyond the elementary treatments so far available.'
S.L. Altmann, Philosophical Magazine, Vol 67, No 5
I recommend the book to all those who wish to taste the flavour of the group-theory applications in physics and chemistry
`This well written, aptly illustrated and readable text ... provides a sound introduction to the band theory of solids'
Aslib Book Guide, Vol. 50, No. 11, Nov 1994
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