edited by D P DiVincenzo (IBM T J Watson Research Center) & P J Steinhardt (Princeton University)

Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.

In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.

• Progress and Current Issues in Quasicrystals (D P DiVincenzo & P J Steinhardt)
• Order and Disorder in Icosahedral Alloys (P A Bancel)
• Neutron Scattering Approaches to Quasicrystals (Ch Janot & M de Boissieu)
• High-Resolution Electron Microscopy of Quasicrystals (K Hiraga)
• Scanning Tunneling Microscopy Studies of Quasicrystals (R S Becker & A R Kortan)
• (Quasi) Crystallography is Better in Fourier Space (N D Mermin)
• Matching Rules for Quasicrystalline Tilings (K Ingersent)
• Growth Rules for Quasicrystals (J E S Socolar)
• Continuous Atomic Surfaces (L S Levitov)
• Chiral Smectics as Quasicrystals (T C Lubensky et al.)
• Experimental Studies of Electronic Transport in Quasicrystals (K Kimura & S Takeuchi)
• Electronic Structure and Transport of Quasicrystals (T Fujiwara & H Tsunetsugu)
• Electronic-Structure and Total-Energy Calculations for Quasicrystals and Related Crystals (A E Carlsson & R Phillips)
• Faceting and Surface Roughening in Quasicrystals (T-L Ho)
• Random Tiling Models (C L Henley)
• Horizons in Quasicrystal Research (A I Goldman & P A Thiel)
• A New Paradigm for the Structure of Quasicrystals (P J Steinhardt)