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Original Articles

Boron-based quasicrystals with sevenfold symmetry

Pages 2707-2712 | Received 16 Aug 2006, Accepted 03 Dec 2006, Published online: 02 Dec 2010

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Read on this site (3)

Tsutomu Ishimasa, Marek Mihalkovič, Kazuhiko Deguchi, Noriaki K. Sato & Marc de Boissieu. (2018) Interpretation of some Yb-based valence-fluctuating crystals as approximants to a dodecagonal quasicrystal. Philosophical Magazine 98:22, pages 2018-2034.
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Jean-Marie Dubois & Ron Lifshitz. (2011) Quasicrystals: diversity and complexity. Philosophical Magazine 91:19-21, pages 2971-2982.
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Heinrich Orsini-Rosenberg & Walter Steurer. (2011) Ab initio investigations on the stability of seven-fold approximants. Philosophical Magazine 91:19-21, pages 2567-2578.
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Articles from other publishers (15)

Alan Rodrigo Mendoza Sosa, Atahualpa S. Kraemer, Erdal C. Oğuz & Michael Schmiedeberg. (2023) Structural studies of local environments in high-symmetry quasicrystals. Scientific Reports 13:1.
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Emil BurzoEmil Burzo. 2023. Rare Earths-Transition Metals-Boron Compounds. Rare Earths-Transition Metals-Boron Compounds 39 49 .
Noriaki K. Sato, Tsutomu Ishimasa, Kazuhiko Deguchi & Keiichiro Imura. (2022) Effects of Electron Correlation and Geometrical Frustration on Magnetism of Icosahedral Quasicrystals and Approximants — An Attempt to Bridge the Gap between Quasicrystals and Heavy Fermions. Journal of the Physical Society of Japan 91:7.
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Eva G. Noya, Chak Kui Wong, Pablo Llombart & Jonathan P. K. Doye. (2021) How to design an icosahedral quasicrystal through directional bonding. Nature 596:7872, pages 367-371.
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Takahiro Takahashi, Koichi Kitahara, Yukari Katsura, Junpei Okada, Yu-ichiro Matsushita & Kaoru Kimura. (2020) Search for the boron quasicrystal by first-principle-calculation. Solid State Sciences 108, pages 106377.
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Petr Ambrož, Zuzana Masáková & Jan Mazáč. (2019) Linear mappings as self-similarities of mathematical models of quasicrystals. Journal of Physics: Conference Series 1194, pages 012005.
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Kevin G. Hare, Zuzana Masáková & Tomáš Vávra. (2018) On the spectra of Pisot-cyclotomic numbers. Letters in Mathematical Physics 108:7, pages 1729-1756.
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A.E. Madison. (2018) Constructing Penrose-like tilings with 7-fold symmetry. Structural Chemistry 29:2, pages 645-655.
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Walter Steurer. (2018) Quasicrystals: What do we know? What do we want to know? What can we know?. Acta Crystallographica Section A Foundations and Advances 74:1, pages 1-11.
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A. E. Madison. (2016) Tiling approach for the description of the sevenfold symmetry in quasicrystals. Structural Chemistry 28:1, pages 57-62.
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Michael Schmiedeberg & Holger Stark. (2012) Comparing light-induced colloidal quasicrystals with different rotational symmetries. Journal of Physics: Condensed Matter 24:28, pages 284101.
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Walter Steurer. (2012) Why are quasicrystals quasiperiodic?. Chemical Society Reviews 41:20, pages 6719.
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Jules MikhaelMichael SchmiedebergSebastian RauschJohannes RothHolger Stark & Clemens Bechinger. (2010) Proliferation of anomalous symmetries in colloidal monolayers subjected to quasiperiodic light fields. Proceedings of the National Academy of Sciences 107:16, pages 7214-7218.
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A. M. Rucklidge & M. Silber. (2009) Design of Parametrically Forced Patterns and Quasipatterns. SIAM Journal on Applied Dynamical Systems 8:1, pages 298-347.
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Walter Steurer & Sofia Deloudi. (2007) Fascinating quasicrystals. Acta Crystallographica Section A Foundations of Crystallography 64:1, pages 1-11.
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