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During the last several decades, since the discovery of a decagonal quasicrystal, a 2 nm cluster model has been widely accepted as its basic quasi-unit-cell (QUC). Instead of the traditional 2 nm QUC, a 3.2 nm QUC is proposed in this paper. The 3.2 nm QUC can fill all the blank areas. The 3.2 nm QUC consists of 251 atoms. The element type and position of each atom are determined using high-angle annular detector dark-field (HAADF) images taken along three projection directions, i.e., one along the ten-fold symmetry and the other two along the two-fold symmetry with an intersection angle of 18 degrees. The proposed model opens an avenue for further investigation of the aperiodic atomic structure of other quasicrystals.
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http://dx.doi.org/10.1016/j.micron.2021.103194 | DOI Listing |
J Phys Condens Matter
September 2025
UGC-DAE Consortium for Scientific Research, Khandwa Road, Indore 452001, Madhya Pradesh, India.
Quasiperiodicity in free-electron-like metals is a subject of significant interest within the scientific community. In this work, utilizing scanning tunneling microscopy (STM), low energy electron diffraction (LEED), and density functional theory (DFT), we demonstrate the formation of a quasiperiodic potassium monolayer on the tenfold surface of decagonal Al-Ni-Co quasicrystal. A dispersed growth comprising of isolated K adatoms is observed at sub-monolayer coverage, which coalesce with increasing coverage and forms pentagonal and decagonal quasiperiodic motifs.
View Article and Find Full Text PDFPhys Rev E
July 2025
Central South University, National Key Laboratory of Science and Technology on High-strength Structural Materials, Changsha 410083, Hunan, People's Republic of China.
Grain boundaries (GBs), crucial to polycrystalline materials, have been extensively studied in conventional periodic structures with rotational and translational symmetries. However, the characteristics of GBs in quasicrystals (QCs), which lack translational symmetry, remain mysterious. This study investigates the atomic configurations and formation mechanisms of GBs in two-dimensional decagonal QCs using phase-field crystal simulations.
View Article and Find Full Text PDFPhys Rev Lett
April 2025
Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.
We present the first principles construction of the low energy effective action for bosonic self-organized quantum quasicrystals. Our generalized elasticity approach retains the appropriate number of phase and corresponding conjugate density degrees of freedom required for a proper description of the gapless modes. For the dodecagonal and decagonal quasicrystal structures we obtain collective longitudinal and transverse excitations with an isotropic speed of sound.
View Article and Find Full Text PDFPhys Rev Lett
February 2025
Istituto Officina dei Materiali, The Abdus Salam International Center for Theoretical Physics, International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy; , Strada Costiera 11, 34151 Trieste, Italy; and CNR-IOM, Consiglio Nazionale delle Ricerche-, c/o SISSA Via Bonomea
The optimal "twisted" geometry of a crystalline layer on a crystal has long been known, but that on a quasicrystal is still unknown and open. We predict analytically that the layer equilibrium configuration will generally exhibit a nonzero misfit angle. The theory perfectly agrees with numerical optimization of a colloid monolayer on a quasiperiodic decagonal optical lattice.
View Article and Find Full Text PDFSci Data
November 2024
National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, 305-0047, Japan.
Quasicrystals are solid-state materials that typically exhibit unique symmetries, such as icosahedral or decagonal diffraction symmetry. They were first discovered in 1984. Over the past four decades of quasicrystal research, around 100 stable quasicrystals have been discovered.
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