This book presents the reader with a fresh and unconventional approach to teaching crystallographic symmetry. Whereas traditional crystallography textbooks make a heavy use of algebra and rapidly become very technical, this book adopts in the first few chapters a 'pictorial' approach based on the symmetry diagrams of the International Tables for Crystallography. Readers are led step-by-step through simple 'frieze' and 'wallpaper' patterns, with many examples from the visual arts. At the end of chapter 3 they should be able to identify and analyse all these simple symmetries and apply to them the nomenclature and symbols of the International Tables. Mathematical formalism is introduced later on in the book, and by that time the reader will have gained a solid intuitive grasp of the subject matter. This book will provide graduate students, advanced undergraduate students and practitioners in physics, chemistry, earth sciences and structural biology with a solid foundation to master the International Tables of Crystallography, and to understand the relevant literature.
Following a Laurea degree at the Universita degli Studia di Milano and a PhD at Illinois Institute of Technology, Professor Radaelli has held posts at the Argonne National Laboratory, CNRS Grenoble, the Institute Laue-Langevin and the ISIS Facility at the Rutherford Appleton Laboratory. His main interest is the study of transition metal oxides displaying novel physical phenomena, such as high-temperature superconductivity, 'colossal' magneto-resistance or multiferroics behaviour, with the potential of device applications. He is now Dr Lee's Professor of Experimental Philosophy at the Clarendon Laboratory, Oxford University
1. Symmetry around a fixed point ; 2. Frieze patterns and frieze groups ; 3. Wallpaper (plane) groups ; 4. Coordinate systems in crystallography ; 5. The mathematical form of symmetry operators ; 6. Distances, angles and the real and reciprocal spaces ; 7. A phase transition in 2 dimensions ; 8. Point groups in 3D ; 9. The 14 3D Bravais lattices ; 10. 3D space group symmetry ; 11. Symmetry and reflection conditions in reciprocal space ; 12. The Wigner-Seitz constructions and the Brillouin zones