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Metric, Myth & Quasicrystals (Paperback)
Loot Price: R410
Discovery Miles 4 100
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Metric, Myth & Quasicrystals (Paperback)
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Loot Price R410
Discovery Miles 4 100
Expected to ship within 10 - 15 working days
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Metric, Myth & Quasicrystallography describes the first
measurement of the metric in quasicrystals and the first
measurement at atomic scale. Quasicrystals are ordinary as window
glass, but they have been mistified owing to their sharp
diffraction patterns with 5-fold symmetries, impossible in
crystals. Out of the fog, the patterns are not in Bragg order; the
series is not properly Fibonacci: simplified indexation of the
pattern is used to simulate a structure due to a single, aligned,
edge-sharing unit-cell that is consistent with all data. Since it
is unlikely that the sharp diffraction pattern is due to unmeasured
poly polyhedra, does the International Union of Crystallography
have to redefine crystals yet again? In modern physics, the metric
relates the covariant components of invariant vectors with
corresponding contravariant components. In crystallography it
relates dimensions in momentum space to atomic locations in real
space. In quasicrystals, the pattern in momentum space is
logarithmic. Theory and simulation show why this has to be.
Consequences follow. In particular, we show not only 'where the
atoms are' but also 'why they are there'. A debate is reported so
that the reader will be encouraged to make his own mind. When
logarithmic periodicity is discovered and explained in one branch
of physics, it should be expected in others.
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