Rules for Computing Symmetry, Density and Stoichiometry in a Quasi-Unit-Cell Model of Quasicrystals
Hyeong-Chai Jeong, Paul J. Steinhardt
Abstract
The quasi-unit cell picture describes the atomic structure of quasicrystals in terms of a single, repeating cluster which overlaps neighbors according to specific overlap rules. In this paper, we discuss the precise relationship between a general atomic decoration in the quasi-unit cell picture atomic decorations in the Penrose tiling and in related tiling pictures. Using these relations, we obtain a simple, practical method for determining the density, stoichiometry and symmetry of a quasicrystal based on the atomic decoration of the quasi-unit cell taking proper account of the sharing of atoms between clusters.
Create a lesson
Related papers
A Gaussian process coarse-grained potential for Na-montmorillonite
Yalda Pedram, Yaoting Zhang, Laurent Brochard et al.
First-principles theory of phonon renormalization from nonlinear electron-phonon interactions
Florian Kluibenschedl, Matthew Houtput, Jacques Tempere et al.
Spin-Lattice Dynamics and Interactions in Magnonic Spinels
Hari Paudyal, Yuri Suzuki, Michael E. Flatté et al.
Magnon-Phonon Dynamics in Multidimensional Antiferromagnetic Oxides
Yogendra Limbu, Michael E. Flatté, Durga Paudyal
Strain-Induced Metal-to-Insulator Transition in Antiferromagnetic SrCrO3 Thin Films
S. Jöhr, A. Carta, J. Moreno et al.
Tuning the Coercive Field in Ferroelectric Hf0.5Zr0.5O2-Al2O3 Heterostructures via Interfacial Charge Dynamics
Marshall B. Frye, Chanyoung Kim, Jeong-Woo Sun et al.