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.
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.