All Title Author
Keywords Abstract


The Structure of Icosahedral Quasicrystals and Seven Blunders in Quasicrystallography

DOI: 10.4236/jmp.2014.56060, PP. 488-496

Keywords: Icosahedral Quasicrystals, Logarithmic Periodicity, Quasi-Bragg Law, Metric, Geometric Series, Icosahedral Unit Cell, Blunders

Full-Text   Cite this paper   Add to My Lib

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.

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.

Full-Text

comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

微信:OALib Journal