Gas–surface interactions have been a topic of much study for the past 50 years, both to increase our knowledge of fundamental interactions in matter and to enhance the many useful processes that occur at surfaces. In studies of the fundamental behavior of rare gases at quasicrystal surfaces, it was demonstrated that under certain conditions the gas films adopt the quasicrystalline structure, an...

In contrast to periodic crystals, quasicrystals exhibit a long range order in spite. The diffraction pattern of quasicrystals shows a dense set of Bragg peaks with.It is argued that the prevailing definition of quasicrystals, requiring them to. Restrict the definition of quasicrystals by requiring that they possess an axis.Abstract. It is argued that the definition of quasicrystals should not i...

We identify several new quasicrystal approximants in alloy systems in which quasicrystals have not been previously reported. Some occur in alloys with large size contrast between the constituent elements, either containing small Boron atoms, or large Ca/Eu atoms, leading to quasicrystal structures quite different from currently known systems where the size contrast is smaller. Another group of ...

We introduce graded photonic quasicrystals (GPQs) and investigate properties of such structures on the example of Luneburg lens based on a dodecagonal photonic quasicrystal. It is shown that the graded photonic quasicrystal lens has better focusing properties as compared with the graded photonic crystal lens in a frequency range suitable for experimental realization. The proposed graded photoni...

Since their discovery, quasicrystals have attracted continuous research interest due to their unique structural and physical properties. Recently, it was demonstrated that dodecagonal quasicrystals could be used as bandgap materials in next-generation photonic devices. However, a full understanding of the formation mechanism of quasicrystals is necessary to control their physical properties. He...

The world of crystallography was forced to reassess its rules about thirty years ago with the introduction of the concept of quasicrystals, solids with rotational symmetries forbidden to crystals, by Levine and Steinhardt (1984) and the discovery of the first examples in the laboratory by Shechtman et al. (1984). Since then, >100 different types of quasicrystals have been synthesized in the lab...

In recent computer simulations of a simple monatomic system interacting via the Dzugutov pair potential, freezing of the fluid into an equilibrium dodecagonal quasicrystal has been reported [M. Dzugutov, Phys. Rev. Lett. 70, 2924 (1993)]. Here, using a combination of molecular dynamics simulation and thermodynamic perturbation theory, we conduct a detailed analysis of the relative stabilities o...