Books
For newcomer’s, one place to start is Marjorie Senechal‘s accessible Crystalline Symmetries. The old classic is the 2nd edition (if you can find it) of Charles Kittel‘s Solid State Physics; the curmudgeons don’t like subsequent editions as much. More recent books include Neil Ashcroft & David Mermin’s Solid State Physics, W. Opechowski’s Crystallographic and metacrystallographic groups, and Marc De Graef & Michael McHenry’s Structure of Materials: An Introduction to Crystallography, Diffraction and Symmetry. For a historical overview, see the Historical Atlas of Crystallography, edited by J. Lima-de-Faria.
For mathematical crystallography, classical works range from Harold Hilton’s 1903 Mathematical Crystallography and the Theory of Groups of Movements to Brown, Bulow, Neubuser, Wondratshek and Zassenhauss’s Crystallographic Groups of Four-Dimensional Space to Marjorie Senechal’s Quasicrystals and geometry and Mike O’Keeffe and Bruce Hyde’s Crystal Structures I: Patterns & Symmetry.
On more specialized topics …
- For an overview of Metal-Organic Frameworks, see Metal-Organic Frameworks, edited by Leonard R. MacGillivray.
- Recent catalogues of crystal structures and nano-structures include Lars Ohrstrom and Krister Larsson’s Molecule-Based Materials: The Structural Network Approach and Lord, Mackay & Ranganathan’s New Geometries for New Materials.
The primary users of mathematical crystallography are likely to be in crystal engineering (especially crystal design) and crystal analysis.
- Gautam R Desiraju, Jagadese J Vittal and Arunachalam Ramanan have just published Crystal Engineering : a Textbook.
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