The Structure of Icosahedral Quasicrystals and Seven Blunders in Quasicrystallography
Author(s)
Antony J. Bourdillon*
ABSTRACT
This structural study of quasicrystals is based on extremely dense icosahedral unit cells that are systematically and consistently measured for the first time. The structure and pattern indexation are 3-dimensional. A formula is given for scattering from atoms in hierarchic arrangement and geometric series. The Quasi-Bragg law is a new law in physics, with possible applications beyond crystallography. The structure is compared with previous, unsuccessful, and contradictory, attempts at analysis.
KEYWORDS
Icosahedral Quasicrystals, Logarithmic Periodicity, Quasi-Bragg Law, Metric, Geometric Series, Icosahedral Unit Cell, Blunders
Icosahedral Quasicrystals, Logarithmic Periodicity, Quasi-Bragg Law, Metric, Geometric Series, Icosahedral Unit Cell, Blunders
Cite this paper
Bourdillon, A. (2014) The Structure of Icosahedral Quasicrystals and Seven Blunders in Quasicrystallography. Journal of Modern Physics, 5, 488-496. doi: 10.4236/jmp.2014.56060.
Bourdillon, A. (2014) The Structure of Icosahedral Quasicrystals and Seven Blunders in Quasicrystallography. Journal of Modern Physics, 5, 488-496. doi: 10.4236/jmp.2014.56060.
References
[1] Bourdillon, A.J. (2013) Micron, 51, 21-25. http://dx.doi.org/10.1016/j.micron.2013.06.004 [2] Bourdillon, A.J. (2009) Solid State Communication, 149, 1221-1225. http://dx.doi.org/10.1016/j.ssc.2009.04.032 [3] Bourdillon, A.J. (2011) Logarithmically Periodic Solids, Nova Science. [4] Bourdillon, A.J. (2011) Logarithmically Periodic Solids―Properties, Evidence and Uncertainties. In: Puckermann, B.E., Ed., Quasicrystals: Types, Systems, and Techniques, Nova Science. [5] Bourdillon, A.J. (2012) Metric, Myth and Quasicrystals. [6] Bourdillon, A.J. (2010) Quasicrystals’ 2D Tiles in 3D Superclusters. [7] Bourdillon, A.J. (2009) Quasicrystals and Quasi Drivers. [8] (2013) American Physical Society March Meeting, Baltimore, 18-23 March 2013, Session W43. In Response to Journals, the Meeting Instructed the Speaker: “Be aggressive;” “Remove the kid-gloves,” “Add insult”. [9] (2013) Quasicrystals at the American Physical Society March Meeting.
http://www.youtube.com/watch?v=xD30KF93qio [10] Shechtman, D., Blech, I., Gratias, D. and Cahn, J.W. (1984) Physical Review Letters, 53, 1951-1953.
http://dx.doi.org/10.1103/PhysRevLett.53.1951 [11] Senechal, M. (2006) Notices to the American Mathematical Society, 3, 886-997. [12] Bourdillon, A.J. (1987) Philosophical Magazine Letters, 55, 21-26. http://dx.doi.org/10.1080/09500838708210435 [13] Steurer, W. (2004) Zeitschrift für Kristallographie, 219, 391-446. http://dx.doi.org/10.1524/zkri.219.7.391.35643 [14] Steurer, W. and Deloudi, S. (2008) Acta Crystallographica, A64, 1-11. [15] Bourdillon, A.J. (2013) Quasicrystallography. www.UHRL.net [16] Hirsch, P., Howie, A., Nicholson, R.B., Pashley, D.W. and Whelan, M.J. (1977) Electron Microscopy of Thin Films. 2nd Edition, Krieger, New York. [17] Bursill, L.A. and Peng, J.L. (1985) Nature, 316, 50-51. http://dx.doi.org/10.1038/316050a0 [18] Takakura, H., Gomez, C.P., Yamamoto, A., De Boisieu, M. and Tsai, A.P. (2006) Nature Materials, 61, 58-63. [19] Huntley, H.E. (1970) The Divine Proportion, Dover.
[1] Bourdillon, A.J. (2013) Micron, 51, 21-25. http://dx.doi.org/10.1016/j.micron.2013.06.004 [2] Bourdillon, A.J. (2009) Solid State Communication, 149, 1221-1225. http://dx.doi.org/10.1016/j.ssc.2009.04.032 [3] Bourdillon, A.J. (2011) Logarithmically Periodic Solids, Nova Science. [4] Bourdillon, A.J. (2011) Logarithmically Periodic Solids―Properties, Evidence and Uncertainties. In: Puckermann, B.E., Ed., Quasicrystals: Types, Systems, and Techniques, Nova Science. [5] Bourdillon, A.J. (2012) Metric, Myth and Quasicrystals. [6] Bourdillon, A.J. (2010) Quasicrystals’ 2D Tiles in 3D Superclusters. [7] Bourdillon, A.J. (2009) Quasicrystals and Quasi Drivers. [8] (2013) American Physical Society March Meeting, Baltimore, 18-23 March 2013, Session W43. In Response to Journals, the Meeting Instructed the Speaker: “Be aggressive;” “Remove the kid-gloves,” “Add insult”. [9] (2013) Quasicrystals at the American Physical Society March Meeting.
http://www.youtube.com/watch?v=xD30KF93qio [10] Shechtman, D., Blech, I., Gratias, D. and Cahn, J.W. (1984) Physical Review Letters, 53, 1951-1953.
http://dx.doi.org/10.1103/PhysRevLett.53.1951 [11] Senechal, M. (2006) Notices to the American Mathematical Society, 3, 886-997. [12] Bourdillon, A.J. (1987) Philosophical Magazine Letters, 55, 21-26. http://dx.doi.org/10.1080/09500838708210435 [13] Steurer, W. (2004) Zeitschrift für Kristallographie, 219, 391-446. http://dx.doi.org/10.1524/zkri.219.7.391.35643 [14] Steurer, W. and Deloudi, S. (2008) Acta Crystallographica, A64, 1-11. [15] Bourdillon, A.J. (2013) Quasicrystallography. www.UHRL.net [16] Hirsch, P., Howie, A., Nicholson, R.B., Pashley, D.W. and Whelan, M.J. (1977) Electron Microscopy of Thin Films. 2nd Edition, Krieger, New York. [17] Bursill, L.A. and Peng, J.L. (1985) Nature, 316, 50-51. http://dx.doi.org/10.1038/316050a0 [18] Takakura, H., Gomez, C.P., Yamamoto, A., De Boisieu, M. and Tsai, A.P. (2006) Nature Materials, 61, 58-63. [19] Huntley, H.E. (1970) The Divine Proportion, Dover.