Structure factor for decorated Penrose tiling
Bartlomiej Kozakowski, Janusz Wolny
TL;DR
This paper derives an analytical expression for the structure factor of decorated Penrose tilings, enabling analysis of their diffraction patterns and extensions to imperfect structures with defects.
Contribution
It provides a new analytical formula for the structure factor of decorated Penrose tilings in physical space, adaptable to imperfect structures.
Findings
Analytical expression for structure factor derived
Formulas applicable to imperfect structures with defects
Extension to phasons and phonons possible
Abstract
The structure factor for arbitrary decorated Penrose tiling has been calculated in average unit cell description. Analytical expression for the structure factor has been derived in physical space. The obtained formulas can be straightforward extended to some imperfect structures, including phasons or phonons and also some other defects.
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Taxonomy
TopicsQuasicrystal Structures and Properties · Liquid Crystal Research Advancements · Photonic Crystals and Applications