New Geometries for New Materials

This 2006 book presents the geometrical ideas of structure at the atomic level.

Eric A. Lord (Author), Alan L. Mackay (Author), S. Ranganathan (Author)

9780521861045, Cambridge University Press

Hardback, published 21 September 2006

258 pages
24.4 x 17 x 1.6 cm, 0.61 kg

Review of the hardback: '… written in a pleasant, easy to read style. The book is a valuable source of reference and information for all mathematicians interested in geometry and its applications to materials sciences. It will certainly contribute to the fruitful and exciting dialogue between materials scientists and mathematicians.' Zentralblatt MATH

Advances in materials science have given rise to novel materials with unique properties, through the manipulation of structure at the atomic level. Elucidating the shape and form of matter at this scale requires the application of mathematical concepts. This 2006 book presents the geometrical ideas that are being developed and integrated into materials science to provide descriptors and enable visualisation of the atomic arrangements in three-dimensional space. Emphasis is placed on the intuitive understanding of geometrical principles, presented through numerous illustrations. Mathematical complexity is kept to a minimum and only a superficial knowledge of vectors and matrices is required, making this an accessible introduction to the area. With a comprehensive reference list, this book will appeal to those working in crystallography, solid state and materials science.

1. Introduction
2. 2D Tilings
3. 3D Tilings
4. Circle and sphere packing
5. Hierarchical structures
6. Clusters
7. Helical and spiral structures
8. 3D Nets
9. Triply periodic surfaces
10. Novel atomic configurations in metallics.

Subject Areas: Materials science [TGM], Nanotechnology [TBN], Solid state chemistry [PNRS], Condensed matter physics [liquid state & solid state physics PHFC], Applied mathematics [PBW]