Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals

W Steurer - Zeitschrift für Kristallographie-Crystalline Materials, 2004 - degruyter.com
Is quasicrystal structure analysis a never-ending story? Why is still not a single quasicrystal
structure known with the same precision and reliability as structures of regular periodic …

Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides

GT de Laissardière, D Nguyen-Manh… - Progress in Materials …, 2005 - Elsevier
Aluminum based alloys which contain transition metal elements with concentrations up to
25% and additional small quantities of silicon, have a wide variety of atomic structures with …

[HTML][HTML] Quasicrystals as cluster aggregates

E Abe, Y Yan, SJ Pennycook - Nature materials, 2004 - nature.com
Quasicrystals are solids that exhibit symmetries long thought forbidden in nature. Since their
discovery in a rapidly solidified Al–Mn alloy in 1984, the central issue in the field has been to …

Quasicrystal structure prediction: A review

M Widom, M Mihalkovič - Israel Journal of Chemistry, 2023 - Wiley Online Library
Predicting quasicrystal structures is a multifaceted problem that can involve predicting a
previously unknown phase, predicting the structure of an experimentally observed phase, or …

Prediction, determination and validation of phase diagrams via the global study of energy landscapes

JC Schön, M Jansen - International Journal of Materials Research, 2009 - degruyter.com
Traditionally, the determination of phase diagrams has followed the inductive paradigm,
where experimental observations provide the phase boundaries in more or less detail and …

Empirical oscillating potentials for alloys from ab initio fits and the prediction of quasicrystal-related structures in the Al-Cu-Sc system

M Mihalkovič, CL Henley - Physical Review B—Condensed Matter and …, 2012 - APS
By fitting to a database of ab initio forces and energies, we can extract pair potentials for
alloys with a simple six-parameter analytic form including Friedel oscillations, which give a …

Simulated structure and thermodynamics of decagonal Al-Co-Cu quasicrystals

Y Huang, M Widom, M Mihalkovič - Physical Review Research, 2024 - APS
Atomic structures of Al-Co-Cu decagonal quasicrystals (dQCs) are investigated using
empirical oscillating pair potentials (EOPP) in molecular dynamic (MD) simulations that we …

Structure of the icosahedral Ti-Zr-Ni quasicrystal

RG Hennig, KF Kelton, AE Carlsson, CL Henley - Physical Review B, 2003 - APS
The atomic structure of the icosahedral Ti-Zr-Ni quasicrystal is determined by invoking
similarities to periodic crystalline phases, diffraction data, and the results from ab initio …

Electron microscopy of quasicrystals–where are the atoms?

E Abe - Chemical Society Reviews, 2012 - pubs.rsc.org
Quasicrystals represent aperiodically ordered form of solids with symmetries long thought
forbidden in nature. Since their discovery, the fundamental key question has been “where …

A review of transmission electron microscopy of quasicrystals—how are atoms arranged?

R Li, Z Li, Z Dong, KA Khor - Crystals, 2016 - mdpi.com
Quasicrystals (QCs) possess rotational symmetries forbidden in the conventional
crystallography and lack translational symmetries. Their atoms are arranged in an ordered …