2007/05/02 by Michael Engel, Hans‐Rainer Trebin, Hans-Rainer Trebin · 192 citations
Chemistry · Materials Science · Physics and Astronomy · #Chemical physics #Chemistry #Condensed matter physics #Crystal (programming language) #Crystallography #Hyperspace #Icosahedral symmetry #Materials science #Molecular dynamics #Monatomic ion #Nanocluster Synthesis and Applications #Phason #Physics #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Quasiperiodic function #Quasiperiodicity #Supramolecular Self-Assembly in Materials #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.98.225505
published in Physical Review Letters 98(22), 225505 (American Physical Society) · 4 pages, 6 figures. Physical Review Letters, in Press (April 2007)
arxiv created 2007/05/02 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For the study of crystal formation and dynamics, we introduce a simple two-dimensional monatomic model system with a parametrized interaction potential. We find in molecular dynamics simulations that a surprising variety of crystals, a decagonal, and a dodecagonal quasicrystal are self-assembled. In the case of the quasicrystals, the particles reorder by phason flips at elevated temperatures. During annealing, the entropically stabilized decagonal quasicrystal undergoes a reversible phase transition at 65% of the melting temperature into an approximant, which is monitored by the rotation of the de Bruijn surface in hyperspace.