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Science, 2009
Forbidden Crystals In crystalline materials, a unit cell is replicated in space through a series of rotations, inversions, and reflections. In order to fully fill space, only certain rotational symmetries are allowed. Quasicrystals contain aperiodic tilings of two or more basic shapes that allow these forbidden rotation ...
BINDI, LUCA +3 more
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Forbidden Crystals In crystalline materials, a unit cell is replicated in space through a series of rotations, inversions, and reflections. In order to fully fill space, only certain rotational symmetries are allowed. Quasicrystals contain aperiodic tilings of two or more basic shapes that allow these forbidden rotation ...
BINDI, LUCA +3 more
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Canadian Journal of Physics, 1994
We introduce a notion of colouring the points of a quasicrystal analogous to the idea of colouring or grading of the points of a lattice. Our results apply to quasicrystals that can be coordinatized by the ring R of integers of the quadratic number field [Formula: see text] and provide a useful and wide ranging tool for determining of sub ...
Moody, R. V., Patera, J.
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We introduce a notion of colouring the points of a quasicrystal analogous to the idea of colouring or grading of the points of a lattice. Our results apply to quasicrystals that can be coordinatized by the ring R of integers of the quadratic number field [Formula: see text] and provide a useful and wide ranging tool for determining of sub ...
Moody, R. V., Patera, J.
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Pseudopotentials and quasicrystals
Physical Review Letters, 1987Etude par les methodes du pseudopotentiel des proprietes electroniques d'un metal ...
, Smith, , Ashcroft
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Annual Review of Physical Chemistry, 2008
Studies of ordered, yet nonperiodic, metallic alloys known as quasicrystals have generated exciting questions and fundamental insights about the relationship between surface atomic structure and surface properties. In this review, I give examples from oxidation, friction, heterogeneous catalysis, and solid film growth, in which the Al-rich ...
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Studies of ordered, yet nonperiodic, metallic alloys known as quasicrystals have generated exciting questions and fundamental insights about the relationship between surface atomic structure and surface properties. In this review, I give examples from oxidation, friction, heterogeneous catalysis, and solid film growth, in which the Al-rich ...
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Journal of Statistical Physics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Magnetic Ordering in Quasicrystals
ChemInform, 2005AbstractChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 200 leading journals. To access a ChemInform Abstract, please click on HTML or PDF.
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2021
"...pentagonal tiling strategies arising from a paper called The Role of Aesthetics in Pure and Applied Mathematical Research were later projected into multi-dimensional space; and simulated diffraction patterns of heretofore impossible states of matter arrived just prior to their discovery."
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"...pentagonal tiling strategies arising from a paper called The Role of Aesthetics in Pure and Applied Mathematical Research were later projected into multi-dimensional space; and simulated diffraction patterns of heretofore impossible states of matter arrived just prior to their discovery."
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Machine Learning to Predict Quasicrystals from Chemical Compositions
Advanced Materials, 2021Liu Chang, Erina Fujita, Yukari Katsura
exaly

