Annu. Rev. Phys. Che. 1991. 42: 685-H9 QUASICRYSTAL STRUCTURE AND PROPERTIESl Alan 1 Goldman Ames Laboratory-US Department of Energy and Department of Physics, Iowa State University, Ames, Iowa 5001 1 Mike Widom Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 1 52 1 3 KEY WORDS: Fibonacci, icosahedron, Penrose tiling, quasiperiodicity 1. INTRODUCTION Quasicrystals possess long-range positional order, but noncrystallographic orientational order. Since 1 984, when Shechtman and coworkers (1, 2) discovered icosahedral order in rapidly quenched AI6Mn, the field has blossomed into an active subject of research in metallurgy, crystallography, and condensed matter physics. Much of the work done to date, and the main focus of this review concerns the problem of quasicrystal structure. Although important open questions in this area remain, we now under- stand many fundamental structural principles. For example, it is now well established that equilibrium quasicrystal phases exist, and that they possess long-range quasiperiodic translational order. One cannot yet specif y the location of each atom; however, much is known about the description of the structures. First, the recogni tion that related crystalline compounds consist of interpenetrating atomic clusters I The US Govement has the right to retain a nonexclusive, royalty-free license in and to any copyright covering this paper. 685 Annu. Rev. Phys. Chem. 1991.42:685-729. Downloaded from www.annualreviews.org Access provided by Carnegie Mellon University on 06/07/19. For personal use only.
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