Quasicrystals and Quasi Drivers
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Firstly, there is the elucidation of the driving force. The icosahedral subcluster has a volume 17% less than the equivalent set of atoms in the matrix solution. The proof depended on the correct scaling for the icosahedral subcluster, including the physical effects that have been described.
The physical effects include departures from Bragg’s law of diffraction and an explanation of the geometric, Fibonacci series in spacings between diffracted beams.
Prior to these developments, a convenient new method for indexing the pattern was derived by simple inspection. This was facilitated by the observations, firstly of double diffraction at large angles only in the CBED, and secondly of the corresponding superposition of Bragg and Fibonacci components in the 2-fold diffraction pattern. Additionally, the selection by nature of the components that diffract had to be explained. The new indexation conveniently matched the scaling by representing the unit cell in reciprocal space with the unit cube in icosahedral units.
The simple and complete indexation in turn facilitated the calculation of structure factors from superclusters. It had been noticed before that icosahedra can be aligned by edge sharing, but we developed this by calculating the structure factors for clusters of unlimited size and logarithmic periodicity.
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The Book
Quasicrystals – quasi drivers – quasi everything. The book is in two parts: the first tells about one set of quasi drivers who are nameless; the second describes the chemical force that drives the structure of quasicrystals. Quasicrystals contained, for twenty five years, the most fundamental unsolved structural problem in condensed matter physics. The first problem in quasicrystals is whether the extraordinary data represent conventional Bragg diffraction. They don’t because the order, n, is logarithmic instead of linear. The second problem is structural: it is not necessary to model with more than one unit cell. The patterns can be indexed and simulated using a single structural unit, as is normal in crystallography. The unit is the key driving force that creates logarithmic periodicity. Quasi science? Everything that suffers biased reviewing. Science may be censored in journals, but not on the new age internet. The book recommends more open, more responsible, more reliable and more realistic science, to engage with modern communications.