X-ray diffraction on Fibonacci superlattices

@article{197251,
   author = {Mikulík, Petr and Holý, Václav and Kuběna, Josef},
   article_number = {9999},
   keywords = {x-ray diffraction; quasicrystals; fibonacci; superlattices},
   language = {eng},
   journal = {Acta Crystallographica A},
   title = {X-ray diffraction on Fibonacci superlattices},
   url = {http://www.sci.muni.cz/~mikulik/Publications.html#DiffFib},
   volume = {51},
   year = {1995}
}

TY  - JOUR
ID  - 197251
AU  - Mikulík, Petr - Holý, Václav - Kuběna, Josef
PY  - 1995
TI  - X-ray diffraction on Fibonacci superlattices
JF  - Acta Crystallographica A
VL  - 51
IS  - 9999
SP  - 825
EP  - 825
KW  - x-ray diffraction
KW  - quasicrystals
KW  - fibonacci
KW  - superlattices
UR  - http://www.sci.muni.cz/~mikulik/Publications.html#DiffFib
N2  - 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.
ER  - 

MIKULÍK, Petr, Václav HOLÝ a Josef KUBĚNA. X-ray diffraction on Fibonacci superlattices. \textit{Acta Crystallographica A}. roč.~51, č.~9999, s.~825-830, 1995.