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Six-Dimensional Atoms for a Decorated Three-Dimensional Penrose Tiling

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Geometry and Thermodynamics

Part of the book series: NATO ASI Series ((NSSB,volume 229))

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Abstract

Detailed structural studies have been undertaken on only two quasi-crystalline materials of icosahedral symmetry. For one compound, Al6CuLi3, it has been possible to describe its structure as a decoration of a three-dimensional (3D) Penrose tiling.1,2 Attempts to determine such a model for Al73Mn21Si6 have not been succesful.3 Instead, a sixdimensional model for its structure was proposed, which did give a good fit to the diffraction data.4–6

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References

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van Smaalen, S. (1990). Six-Dimensional Atoms for a Decorated Three-Dimensional Penrose Tiling. In: Tolédano, JC. (eds) Geometry and Thermodynamics. NATO ASI Series, vol 229. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3816-5_4

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  • DOI: https://doi.org/10.1007/978-1-4615-3816-5_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6702-4

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