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- Quasicrystal abstract "A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry. While crystals, according to the classical crystallographic restriction theorem, can possess only two, three, four, and six-fold rotational symmetries, the Bragg diffraction pattern of quasicrystals shows sharp peaks with other symmetry orders, for instance five-fold.Aperiodic tilings were discovered by mathematicians in the early 1960s, and, some twenty years later, they were found to apply to the study of quasicrystals. The discovery of these aperiodic forms in nature has produced a paradigm shift in the fields of crystallography. Quasicrystals had been investigated and observed earlier, but, until the 1980s, they were disregarded in favor of the prevailing views about the atomic structure of matter. In 2009, after a dedicated search, a mineralogical finding, icosahedrite, offered evidence for the existence of natural quasicrystals.Roughly, an ordering is non-periodic if it lacks translational symmetry, which means that a shifted copy will never match exactly with its original. The more precise mathematical definition is that there is never translational symmetry in more than n – 1 linearly independent directions, where n is the dimension of the space filled, e.g., the three-dimensional tiling displayed in a quasicrystal may have translational symmetry in two dimensions. The ability to diffract comes from the existence of an indefinitely large number of elements with a regular spacing, a property loosely described as long-range order. Experimentally, the aperiodicity is revealed in the unusual symmetry of the diffraction pattern, that is, symmetry of orders other than two, three, four, or six. In 1982 materials scientist Dan Shechtman observed that certain aluminium-manganese alloys produced the unusual diffractograms which today are seen as revelatory of quasicrystal structures. Due to fear of the scientific community's reaction, it took him two years to publish the results for which he was awarded the Nobel Prize in Chemistry in 2011.".
- Quasicrystal thumbnail Quasicrystal1.jpg?width=300.
- Quasicrystal wikiPageExternalLink quasi.
- Quasicrystal wikiPageExternalLink Northwestern_4-7-2006.ppt.
- Quasicrystal wikiPageExternalLink issconts.html.
- Quasicrystal wikiPageExternalLink 1.stm.
- Quasicrystal wikiPageExternalLink p258_1.
- Quasicrystal wikiPageExternalLink 29590068.
- Quasicrystal wikiPageExternalLink whatis-senechal.pdf.
- Quasicrystal wikiPageExternalLink 1101.0061.
- Quasicrystal wikiPageExternalLink qc.html.
- Quasicrystal wikiPageExternalLink Bib.html.
- Quasicrystal wikiPageExternalLink discovery.html.
- Quasicrystal wikiPageExternalLink quasicrystals.html.
- Quasicrystal wikiPageID "25350".
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- Quasicrystal wikiPageRevisionID "708224215".
- Quasicrystal wikiPageWikiLink AKLT_model.
- Quasicrystal wikiPageWikiLink Alan_Lindsay_Mackay.
- Quasicrystal wikiPageWikiLink Aluminium.
- Quasicrystal wikiPageWikiLink American_Mathematical_Society.
- Quasicrystal wikiPageWikiLink Amorphous_solid.
- Quasicrystal wikiPageWikiLink Annealing_(metallurgy).
- Quasicrystal wikiPageWikiLink Aperiodic_tiling.
- Quasicrystal wikiPageWikiLink Archimedean_solid.
- Quasicrystal wikiPageWikiLink Basis_(linear_algebra).
- Quasicrystal wikiPageWikiLink Birkhäuser.
- Quasicrystal wikiPageWikiLink Braggs_law.
- Quasicrystal wikiPageWikiLink Bravais_lattice.
- Quasicrystal wikiPageWikiLink Casting_(metalworking).
- Quasicrystal wikiPageWikiLink Category:Condensed_matter_physics.
- Quasicrystal wikiPageWikiLink Category:Crystallography.
- Quasicrystal wikiPageWikiLink Category:Tessellation.
- Quasicrystal wikiPageWikiLink Category_theory.
- Quasicrystal wikiPageWikiLink Conic_section.
- Quasicrystal wikiPageWikiLink Crystal.
- Quasicrystal wikiPageWikiLink Crystallization.
- Quasicrystal wikiPageWikiLink Crystallographic_restriction_theorem.
- Quasicrystal wikiPageWikiLink Crystallography.
- Quasicrystal wikiPageWikiLink Dan_Shechtman.
- Quasicrystal wikiPageWikiLink Delone_set.
- Quasicrystal wikiPageWikiLink Dishwasher.
- Quasicrystal wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Quasicrystal wikiPageWikiLink Eight-vertex_model.
- Quasicrystal wikiPageWikiLink Electron_diffraction.
- Quasicrystal wikiPageWikiLink Fibonacci_quasicrystal.
- Quasicrystal wikiPageWikiLink File:Penrose_Tiling_(Rhombi).svg.
- Quasicrystal wikiPageWikiLink Fourier_transform.
- Quasicrystal wikiPageWikiLink Frying_pan.
- Quasicrystal wikiPageWikiLink Girih_tiles.
- Quasicrystal wikiPageWikiLink Group_(mathematics).
- Quasicrystal wikiPageWikiLink Groupoid.
- Quasicrystal wikiPageWikiLink Hao_Wang_(academic).
- Quasicrystal wikiPageWikiLink Harald_Bohr.
- Quasicrystal wikiPageWikiLink Hypercube.
- Quasicrystal wikiPageWikiLink Hyperplane.
- Quasicrystal wikiPageWikiLink Icosahedral_twins.
- Quasicrystal wikiPageWikiLink Icosahedrite.
- Quasicrystal wikiPageWikiLink International_Mineralogical_Association.
- Quasicrystal wikiPageWikiLink International_Union_of_Crystallography.
- Quasicrystal wikiPageWikiLink Isfahan.
- Quasicrystal wikiPageWikiLink Khatyrka.
- Quasicrystal wikiPageWikiLink Lattice_plane.
- Quasicrystal wikiPageWikiLink Light-emitting_diode.
- Quasicrystal wikiPageWikiLink Linear_independence.
- Quasicrystal wikiPageWikiLink Linear_span.
- Quasicrystal wikiPageWikiLink Manganese.
- Quasicrystal wikiPageWikiLink Marjorie_Senechal.
- Quasicrystal wikiPageWikiLink Materials_science.
- Quasicrystal wikiPageWikiLink Melt_spinning.
- Quasicrystal wikiPageWikiLink Meyer_set.
- Quasicrystal wikiPageWikiLink National_Institute_of_Standards_and_Technology.
- Quasicrystal wikiPageWikiLink Nicolaas_Govert_de_Bruijn.
- Quasicrystal wikiPageWikiLink Niels_Bohr.
- Quasicrystal wikiPageWikiLink Nobel_Prize_in_Chemistry.
- Quasicrystal wikiPageWikiLink Non-stick_surface.
- Quasicrystal wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Quasicrystal wikiPageWikiLink Order_and_disorder_(physics).
- Quasicrystal wikiPageWikiLink Paradigm_shift.
- Quasicrystal wikiPageWikiLink Paul_Steinhardt.
- Quasicrystal wikiPageWikiLink Penrose_tiling.
- Quasicrystal wikiPageWikiLink Perfluorooctanoic_acid.
- Quasicrystal wikiPageWikiLink Peter_Kramer_(physicist).
- Quasicrystal wikiPageWikiLink Phason.
- Quasicrystal wikiPageWikiLink Philosophical_Magazine.
- Quasicrystal wikiPageWikiLink Pisot–Vijayaraghavan_number.
- Quasicrystal wikiPageWikiLink Plasma-coating.
- Quasicrystal wikiPageWikiLink Polytetrafluoroethylene.
- Quasicrystal wikiPageWikiLink Quasiperiodic_function.
- Quasicrystal wikiPageWikiLink Quasiperiodicity.
- Quasicrystal wikiPageWikiLink Reciprocal_lattice.
- Quasicrystal wikiPageWikiLink Robert_Ammann.
- Quasicrystal wikiPageWikiLink Robert_Berger_(mathematician).
- Quasicrystal wikiPageWikiLink Roger_Penrose.
- Quasicrystal wikiPageWikiLink Rotational_symmetry.
- Quasicrystal wikiPageWikiLink Russia.
- Quasicrystal wikiPageWikiLink Sodium_carbonate.
- Quasicrystal wikiPageWikiLink Spectrum.
- Quasicrystal wikiPageWikiLink Spin_(physics).