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Structure Factor for Quasicrystals - 1D Case

100%

Kozakowski B., Wolny J.

Acta Physica Polonica A

2003

vol. 104

issue 1

55-66

Using a statistical approach a simple formula for the structure factor of decorated Fibonacci chain was derived. Although the used method operates in the physical space only, its equivalence to the higher-dimensional analysis was proved. Applications of the analysis to different decorated structures were also discussed.

Periodic Series of Peaks in Diffraction Patterns of Aperiodic Structures

61%

Wolny J., Kozakowski B., Kuczera P., Pytlik L., Strzałka R., Wnek A.

Acta Physica Polonica A

2014

vol. 126

issue 2

625-628

Quasicrystals are aperiodic structures with no periodicity both in direct and reciprocal space. The diffraction pattern of quasicrystals consists however of the periodic series of peaks in the scattering vector space. The intensities of the peaks of all series reduced in a proper way build up the so-called envelope function common for the whole pattern. The Fourier transformed envelope gives the average unit cell which is the statistical distribution of atomic positions in physical space. The distributions lifted to high dimensions correspond to atomic surfaces - the basic concept of structural quasicrystals modeling within higher-dimensional approach.

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2 Acta Physica Polonica A

1 2014

1 2003

2 Kozakowski B.

2 Wolny J.

1 Kuczera P.

1 Pytlik L.

1 Strzałka R.

1 Wnek A.

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Structure Factor for Quasicrystals - 1D Case

Periodic Series of Peaks in Diffraction Patterns of Aperiodic Structures