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Diffraction from one- and two-dimensional quasicrystalline gratings
1.R. McGrath, J. Ledieu, E. J. Cox, and R. D. Diehl, “Quasicrystal surfaces: Structure and potential as templates,” J. Phys.: Condens. Matter 14, R119–R144 (2002).
2.R. Penrose, “Pentaplexity,” Math. Intell. 2, 32–37 (1979).
3.T. H. Garland, Fascinating Fibonaccis: Mystery and Magic in Numbers (Dale Seymour, Palo Alto, CA, 1987).
4.R. McGrath, J. Ledieu, E. J. Cox, and R. D. Diehl, “Tilings and coverings of quasicrystal surfaces,” in Coverings of Discrete Quasiperiodic Sets: Theory and Applications to Quasicrystals, edited by P. Kramer and Z. Papadopolos (Springer, Berlin, 2003), pp. 257–268.
5.J. Ledieu, R. McGrath, R. D. Diehl, T. A. Lograsso, D. W. Delaney, Z. Papadopolos, and G. Kasner, “Tiling of the fivefold surface of ” Surf. Sci. 492 (3), L729–L734 (2001).
6.Z. Papadopolos, G. Kasner, J. Ledieu, E. J. Cox, N. V. Richardson, Q. Chen, R. D. Diehl, T. A. Lograsso, A. R. Ross, and R. McGrath, “Bulk termination of the quasicrystalline fivefold surface of ” Phys. Rev. B 66 (18), 184207–184213 (2002).
7.J. M. Dubois, “The applied physics of quasicrystals,” Phys. Scr., T T49, 17–23 (1993).
8.B. C. Anderson, P. D. Bloom, K. G. Baikerikar, V. V. Shear, and S. M. Mallapragada, “Al–Cu–Fe quasicrystal/ultra-high molecular weight polyethylene composites as biomaterials for acetabular cup prosthetics,” Biomaterials 23, 1761–1768 (2002).
9.J. W. Cahn, “Epilogue,” in Proceedings of the 5th International Conference on Quasicrystals, edited by C. Janot and R. Mosseri (World Scientific, Singapore, 1996), p. 807.
10.M. Senechal, Quasicrystals and Geometry (Cambridge U.P., Cambridge, 1995).
11.R. Lifshitz, “The rebirth of crystallography,” Z. Kristallogr. 217, 342–343 (2002).
12.R. Lifshitz, “Quasicrystals: A matter of definition,” Found. Phys. 33 (12), 1703–1711 (2003).
13.R. Lifshitz, “The symmetry of quasiperiodic crystals,” Physica A 232, 633–647 (1996).
14.“Report of the Executive Committee for 1991, International Union of Crystallography,” Acta Crystallographica 48, 922–946 (1992).
15.L. Pauling, “Apparent icosahedral symmetry is due to directed multiple twinning of cubic crystals,” Nature (London) 317, 512–514 (1985).
16.R. D. Diehl, J. Ledieu, N. Ferralis, A. W. Szmodis, and R. McGrath, “Low-energy electron diffraction from quasicrystal surfaces,” J. Phys.: Condens. Matter 15 (3), R63–R81 (2003).
17.C. Janot, Quasicrystals: A Primer (Clarendon, Oxford, 1992).
18.M. Gierer, M. A. Van Hove, A. I. Goldman, Z. Shen, S.-L. Chang, P. J. Pinhero, C. J. Jenks, J. W. Anderegg, C.-M. Zhang, and P. A. Thiel, “Fivefold surface of quasicrystalline AlPdMn: Structure determination using low-energy electron diffraction,” Phys. Rev. B 57, 7628–7641 (1998).
19.N. Ferralis, K. Pussi, E. J. Cox, M. Gierer, J. Ledieu, I. R. Fisher, C. J. Jenks, M. Lindroos, R. McGrath, and R. D. Diehl, “Structure of the 10-fold d-Al-Ni-Co quasicrystal surface,” Phys. Rev. B 69, 075410 (2004).
20.D. P. Woodruff and T. A. Delchar, Modern Techniques of Surface Science (Cambridge U.P., Cambridge, 1986).
21.M. A. Van Hove, W. H. Weinberg, and C.-M. Chan, Low-Energy Electron Diffraction: Experiment, Theory and Surface Structure Determination (Springer-Verlag, Berlin, 1986).
22.R. Mosseri and J. F. Sadoc, “Two and three dimensional non-periodic networks obtained from self-similar tiling,” in The Structure of Non-Crystalline Materials 1982, edited by P. H. Gaskell, J. M. Parker, and E. A. Davis (Tayor and Francis, London, 1982), pp. 137–150.
23.A. L. Mackay, “Crystallography and the Penrose pattern,” Physica A 114, 517–522 (1982).
24.S. Y. Litvin, A. B. Romberger, and D. B. Litvin, “Generation and experimental measurement of a one-dimensional quasi-crystal diffraction pattern,” Am. J. Phys. 56 (1), 72–75 (1988).
25.M. Boudard, M. de Boussieu, C. Janot, G. Heger, C. Beeli, H.-U. Nissen, H. Vincent, R. Ibberson, M. Audier, and J. M. Dubois, “Bulk structure of AlPdMn,” J. Phys.: Condens. Matter 4, 10149–10168 (1992).
26.〈http://alpdmn.phys.psu.edu/gratings.html〉. Links to downloadable images of periodic and quasiperiodic diffractrion gratings.
27.G. Harburn, C. A. Taylor, and T. R. Welberry, Atlas of Optical Transforms (G. Bell & Sons, London, 1975).
28.〈http://rsc.anu.edu.au/∼welberry/Optical transform/〉. This site includes information on producing optical transforms as well as slides of various diffractrion gratings.
29.A. R. Smith, K.-J. Chao, Q. Niu, and C.-K. Shih, “Formation of atomically flat silver films on GaAs with a ‘silver mean’ quasi periodicity,” Science 273, 226–228 (1996).
30.P. Ebert, K.-J. Chao, Q. Niu, and C.-K. Shih, “Dislocations, phase defects, and domain walls in a one-dimensional quasiperiodic superstructure of a metallic thin film,” Phys. Rev. Lett. 83 (16), 3222–3225 (1999).
31.J. Ledieu, J.-T. Hoeft, D. E. Reid, J. Smerdon, R. D. Diehl, T. A. Lograsso, A. R. Ross, and R. McGrath, “Pseudomorphic growth of a single element quasiperiodic ultrathin film on a quasicrystal substrate,” Phys. Rev. Lett. 92, 135507 (2004).
32.R. Lifshitz, “The square Fibonacci tiling,” J. Alloys Compd. 342, 186–190 (2002).
33.M. Gierer, A. Mikkelsen, M. Gräber, P. Gille, and W. Moritz, “Quasicrystalline surface order on decagonal An investigation with spot profile analysis LEED,” Surf. Sci. Lett. 463, L654–L660 (2000).
34.W. Steurer, T. Haibach, B. Zhang, S. Kek, and R. Lück, “The Structure of decagonal ” Acta Crystallogr., Sect. B: Struct. Sci. B49, 661–675 (1993).
35.M. Gierer, M. A. Van Hove, A. I. Goldman, Z. Shen, S.-L. Chang, C. J. Jenks, C.-M. Zhang, and P. A. Thiel, “Structural analysis of the fivefold symmetric surface of the quasicrystal by low energy electron diffraction,” Phys. Rev. Lett. 78, 467–470 (1997).
36.T. Cai, J. Ledieu, R. McGrath, V. Fournee, T. Lograsso, A. Ross, and P. Thiel, “Pseudomorphic starfish: Nucleation of extrinsic metal atoms on a quasicrystalline substrate,” Surf. Sci. 526 (1–2), 115–120 (2003).
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