Electronic Resource
[S.l.]
:
International Union of Crystallography (IUCr)
Acta crystallographica
51 (1995), S. 825-830
ISSN:
1600-5724
Source:
Crystallography Journals Online : IUCR Backfile Archive 1948-2001
Topics:
Chemistry and Pharmacology
,
Geosciences
,
Physics
Notes:
The exact diffraction curve of the Fibonacci superlattice is calculated using the semi-kinematical approximation of dynamical X-ray diffraction. The properties of the discrete Fourier transform of quasiperiodically arranged layers are employed to derive explicit approximate formulae for the diffracted intensity and the angular positions of peaks. The exact and approximate curves are compared by a numerical simulation and a good agreement is found. The measurement of the 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 the fitting of the structural parameters of the superlattice even in the low-resolution experimental set-up when the fitting of the whole measured diffraction curve was not possible.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1107/S0108767395003229
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