1. Phase transitions within crystals that are aperiodic by construction
- Author
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Céline Mariette, Philippe Rabiller, Laurent Guérin, Claude Ecolivet, Ilya Frantsuzov, Bo Wang, Shane M. Nichols, Philippe Bourges, Alexei Bosak, Yu-Sheng Chen, Mark D. Hollingsworth, Bertrand Toudic, Institut de Physique de Rennes (IPR), Université de Rennes (UR)-Centre National de la Recherche Scientifique (CNRS), European Synchroton Radiation Facility [Grenoble] (ESRF), Kansas State University, LLB - Nouvelles frontières dans les matériaux quantiques (NFMQ), Laboratoire Léon Brillouin (LLB - UMR 12), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), University of Chicago, ChemMatCARS beamline, ANR-SIMI4-ODACE-2011, and ANR-11-BS04-0004,ODACE,Ordre et désordre dans les édifices cristallins apériodiques.(2011)
- Subjects
[PHYS.COND.CM-MS]Physics [physics]/Condensed Matter [cond-mat]/Materials Science [cond-mat.mtrl-sci] - Abstract
International audience; Aperiodic crystals possess long-range order without translational symmetry. They constitute a state of matter that has forced a profound paradigm shift in solid-state physics. A common feature of aperiodic crystals is that they recover periodicity in higher dimensional spaces, the so-called crystallographic superspaces. Much work has been dedicated to the structural order within these superspaces and also to their specific dynamics. This paper focuses on the phase transitions within crystallographic superspaces. Aperiodic crystals are divided into three families: incommensurately modulated crystals, composite crystals, and quasicrystals. Incommensurately modulated crystals have been studied heavily and appear now to be relatively well understood, since they possess a periodic high-symmetry phase. The other two members of the family are aperiodic by construction. In this paper, we present a comprehensive and systematic study of a prototype composite host-guest family of n-alkane/urea inclusion compounds [$n−$ C$_n$H$_{2n+2}$/CO(NH$_2$)$_2$]. For these materials, which exhibit a rich sequence of phases, the phase transitions are described in terms of group/subgroup symmetry breaking within crystallographic superspaces. Such phase transitions may decrease, increase, or maintain the dimension of the crystallographic superspace. These results highlight the multiplicity of specific structural solutions thataperiodicity offers.
- Published
- 2022