Publication details

X-ray diffraction on Fibonacci superlattices



Year of publication 1995
Type Article in Periodical
Magazine / Source Acta Crystallographica A
MU Faculty or unit

Faculty of Science

Field Solid matter physics and magnetism
Keywords x-ray diffraction; quasicrystals; fibonacci; superlattices
Description The exact diffraction curve of the Fibonacci superlattice is calculated using the semikinematical approximation of dynamical X-ray diffraction. The properties of the discrete Fourier transform of quasiperiodically arranged layers are employed to get explicit approximate formula for the diffracted intensity and for the angular positions of peaks. The exact and approximate curves were compared by a numerical simulation and a good agreement was found. The measurement of diffraction curve was performed on the generalized Fibonacci superlattice built by stacked Fibonacci generations. This superlattice belongs to the same class of local isomorphism as the Fibonacci superlattice if both are infinitely thick. The explicit approximate formulae enabled to fit the structural parameters of the superlattice even in the low resolution experimental setup when the fit of the whole measured diffraction curve was not possible.
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