Quasicrystals, Networks and Molecules of Fivefold Symmetry

Fundamental phenomena and laws of nature are related to symmetry and, accordingly, symmetry is one of science's basic concepts. Istvan Hargittai has written and edited extensively on the question of symmetry in chemistry, and he has here assembled some very interesting papers which deal with the question of symmetry as it relates to quasi- crystals, networks and their relationships within a fivefold symmetrical context. This information will be useful to chemists (particulary organic and computational chemists) in creating new chemical structures for specific new uses.

Table of Contents:
Preface; List of Contributors; 1. Crystals and Fivefold Symmetry; Alan L. Mackay; 2. Generalizing Crystallography: Puzzles and Problems in Dimension 1; Marjorie Senechal; 3. Dynamic Origin of Fivefold Symmetry; Roald Z. Sagdeev and George M. Zaslavsky; 4. Computer--Simulated Images of Icosahedral, Pentagonal, and Decagonal Clusters of Atoms; Peng Ju Lin and L. A. Bursill; 5. X--Ray Diffraction Study of Slowly Solidified Icosahedral Alloys; Francoise Denoyer, Gernot Heger, and Marianne Lambert; 6. Analysis of X--Ray Powder Diffraction Patterns of Rapidly Quenched Al--Based Alloys on the Basis of Quasicrystalline and Cubic Models; R. A. Dunlap, D. W. Lawther, and V. Srinivas; 7. Finite Automata, Quasicrystals, and Robinson Tilings; Jean--Paul Allouche and Olivier Salon; 8. Fivefold Symmetry in Higher Dimensional Spaces and Generalized Penrose Patterns; E. J. W. Whittaker and R. M. Whittaker; 9. Planar Patterns with Fivefold Symmetry as Sections of Periodic Structures in 4--Space; Michael Baake, Peter Kramer, Martin Schlottmann, and Dieter Zeidler; 10. Nondiscrete Regular Honeycombs; Peter McMullen; 11. A Two--Dimensional Quasiperiodic Dodecagonal Tiling by Two Pentagons; Hans--Ude Nissen; 12. New Quasiperiodic Lattices from the Grid Method; Peter Stampfli; 13. Fivefold Symmetry in the Context of Potential Surfaces, Molecular Conformations, and Chemical Reactions; Paul G. Mezey; 14. Buckminsterfullerene, Part A: Introduction; D. J. Klein and T. G. Schmalz; 15. Buckminsterfullerene, Part B: Polyhedral Carbon Ions as Good Candidates to a Solution of the Longest Unsolved Spectroscopic Problem in Astronomy; A. Leger, L. d'Hendecourt, L. Verstraete, and W. Schmidt; 16. Buckminsterfullerene, Part C: Huckel Energy Levels; E. Brendsdal, S. J. Cyvin, B. N. Cyvin, J. Brunvoll, D. J. Klein, and W. A. Seitz; 17. Buckminsterfullerene, Part D: Kekule Structures; V. Elser, E. Brendsdal, S. J. Cyvin, J. Brunvoll, B. N. Cyvin, and D. J. Klein; 18. Buckminsterfullerene, Part E: Molecular Vibrations; E. Brendsdal, J. Brunvoll, B. N. Cyvin, and S. J. Cyvin; 19. Centropolyindans: Benzoannelated Polyqumanes with a Central Carbon Atom; Dietmar Kuck; Index