Long-range modulation of a composite crystal in a five-dimensional superspace
Abstract
The intergrowth crystal of n-tetracosane/urea presents a misfit parameter, defined by the ratio γ = ch/cg (chost/cguest), that is very close to a commensurate value (γ ≅ 1/3). High-resolution diffraction studies presented here reveal an aperiodic misfit parameter of γ = 0.3369, which is found to be constant at all temperatures studied. A complex sequence of structural phases is reported. The high temperature phase (phase I) exists in the four-dimensional superspace group P6122(00γ). At Tc1 = 179(1) K, a ferroelastic phase transition increases the dimension of the crystallographic superspace. This orthorhombic phase (phase II) is characterized by the five-dimensional (5D) superspace group C2221(00γ)(10δ) with a modulation vector ao* + cm* = ao* + δ · ch*, in which the supplementary misfit parameter is δ = 0.025(1) in host reciprocal units. Finally, this corresponds to the appearance of a modulation of very long period (about 440 ± 16 Å). At Tc2 = 163.0(5) K, a 5D to 5D phase transition leads to the crystallographic superspace group P212121(00γ)(00δ) with a very similar value of δ. This phase transition reveals a significant hysteresis effect.
- Authors:
-
- Univ. de Rennes, Rennes (France)
- Synchrotron SOLEIL, Gif-sur-Yvette cedex (France)
- Kansas State Univ., Manhattan, KS (United States)
- Dresden Univ. of Technology, Dresden (Germany)
- Eidgenossische Technische Hochschule (ETH) Zurich, Zurich (Switzerland)
- Publication Date:
- Research Org.:
- Kansas State Univ., Manhattan, KS (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1343611
- Alternate Identifier(s):
- OSTI ID: 1179707
- Grant/Contract Number:
- AC02-76SF00515; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 18; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Guerin, Laurent, Mariette, Celine, Rabiller, Philippe, Huard, Michael, Ravy, Sylvain, Fertey, Pierre, Nichols, Shane M., Wang, Bo, Mannsfeld, Stefan C. B., Weber, Thomas, Hollingsworth, Mark D., and Toudic, Bertrand. Long-range modulation of a composite crystal in a five-dimensional superspace. United States: N. p., 2015.
Web. doi:10.1103/PhysRevB.91.184101.
Guerin, Laurent, Mariette, Celine, Rabiller, Philippe, Huard, Michael, Ravy, Sylvain, Fertey, Pierre, Nichols, Shane M., Wang, Bo, Mannsfeld, Stefan C. B., Weber, Thomas, Hollingsworth, Mark D., & Toudic, Bertrand. Long-range modulation of a composite crystal in a five-dimensional superspace. United States. https://doi.org/10.1103/PhysRevB.91.184101
Guerin, Laurent, Mariette, Celine, Rabiller, Philippe, Huard, Michael, Ravy, Sylvain, Fertey, Pierre, Nichols, Shane M., Wang, Bo, Mannsfeld, Stefan C. B., Weber, Thomas, Hollingsworth, Mark D., and Toudic, Bertrand. Tue .
"Long-range modulation of a composite crystal in a five-dimensional superspace". United States. https://doi.org/10.1103/PhysRevB.91.184101. https://www.osti.gov/servlets/purl/1343611.
@article{osti_1343611,
title = {Long-range modulation of a composite crystal in a five-dimensional superspace},
author = {Guerin, Laurent and Mariette, Celine and Rabiller, Philippe and Huard, Michael and Ravy, Sylvain and Fertey, Pierre and Nichols, Shane M. and Wang, Bo and Mannsfeld, Stefan C. B. and Weber, Thomas and Hollingsworth, Mark D. and Toudic, Bertrand},
abstractNote = {The intergrowth crystal of n-tetracosane/urea presents a misfit parameter, defined by the ratio γ = ch/cg (chost/cguest), that is very close to a commensurate value (γ ≅ 1/3). High-resolution diffraction studies presented here reveal an aperiodic misfit parameter of γ = 0.3369, which is found to be constant at all temperatures studied. A complex sequence of structural phases is reported. The high temperature phase (phase I) exists in the four-dimensional superspace group P6122(00γ). At Tc1 = 179(1) K, a ferroelastic phase transition increases the dimension of the crystallographic superspace. This orthorhombic phase (phase II) is characterized by the five-dimensional (5D) superspace group C2221(00γ)(10δ) with a modulation vector ao* + cm* = ao* + δ · ch*, in which the supplementary misfit parameter is δ = 0.025(1) in host reciprocal units. Finally, this corresponds to the appearance of a modulation of very long period (about 440 ± 16 Å). At Tc2 = 163.0(5) K, a 5D to 5D phase transition leads to the crystallographic superspace group P212121(00γ)(00δ) with a very similar value of δ. This phase transition reveals a significant hysteresis effect.},
doi = {10.1103/PhysRevB.91.184101},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 18,
volume = 91,
place = {United States},
year = {Tue May 05 00:00:00 EDT 2015},
month = {Tue May 05 00:00:00 EDT 2015}
}
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