"준결정 (quasicrystal)"의 두 판 사이의 차이

수학노트
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==리뷰, 에세이, 강의노트==
 
==리뷰, 에세이, 강의노트==
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* Faustin Adiceam, Open Problems and Conjectures related to the Theory of Mathematical Quasicrystals, arXiv:1604.06280 [math-ph], April 16 2016, http://arxiv.org/abs/1604.06280
 
* Baake, Michael, David Damanik, and Uwe Grimm. “What Is Aperiodic Order?” arXiv:1512.05104 [math-Ph], December 16, 2015. http://arxiv.org/abs/1512.05104.
 
* Baake, Michael, David Damanik, and Uwe Grimm. “What Is Aperiodic Order?” arXiv:1512.05104 [math-Ph], December 16, 2015. http://arxiv.org/abs/1512.05104.
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==관련논문==
 
==관련논문==
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* Fang Fang, Klee Irwin, An Icosahedral Quasicrystal as a Golden Modification of the Icosagrid and its Connection to the E8 Lattice, arXiv:1511.07786 [math.MG], November 20 2015, http://arxiv.org/abs/1511.07786
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* Michael Baake, David Ecija, Uwe Grimm, A guide to lifting aperiodic structures, arXiv:1606.07647 [cond-mat.mtrl-sci], June 24 2016, http://arxiv.org/abs/1606.07647
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* Emilio Zappa, Eric C. Dykeman, James A. Geraets, Reidun Twarock, A group theoretical approach to structural transitions of icosahedral quasicrystals and point arrays, http://arxiv.org/abs/1512.02101v2
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* Palamodov, Victor P. “Uniformly Discrete Quasicrystals Are Crystals.” arXiv:1601.07049 [math], January 26, 2016. http://arxiv.org/abs/1601.07049.
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* Lev, Nir, and Alexander Olevskii. “Fourier Quasicrystals and Discreteness of the Diffraction Spectrum.” arXiv:1512.08735 [math-Ph], December 29, 2015. http://arxiv.org/abs/1512.08735.
 
* Bédaride, Nicolas, and Thomas Fernique. “Weak Local Rules for Planar Octagonal Tilings.” arXiv:1512.04679 [math-Ph], December 15, 2015. http://arxiv.org/abs/1512.04679.
 
* Bédaride, Nicolas, and Thomas Fernique. “Weak Local Rules for Planar Octagonal Tilings.” arXiv:1512.04679 [math-Ph], December 15, 2015. http://arxiv.org/abs/1512.04679.
 
* Puelz, Charles, Mark Embree, and Jake Fillman. “Spectral Approximation for Quasiperiodic Jacobi Operators.” arXiv:1408.0370 [math], August 2, 2014. http://arxiv.org/abs/1408.0370.
 
* Puelz, Charles, Mark Embree, and Jake Fillman. “Spectral Approximation for Quasiperiodic Jacobi Operators.” arXiv:1408.0370 [math], August 2, 2014. http://arxiv.org/abs/1408.0370.
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== 노트 ==
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===말뭉치===
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# Forming a quasicrystal is a little like tiling a floor.<ref name="ref_dfb84d70">[https://www.brown.edu/news/2018-12-20/quasicrystal Chemists create new quasicrystal material from nanoparticle building blocks]</ref>
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# The same goes for this new quasicrystal structure — they require secondary “tiles” that can fill the gaps between decagons.<ref name="ref_dfb84d70" />
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# The arrangement of atoms in a quasicrystal displays a property called long-range order, which is lacking in amorphous metals.<ref name="ref_63f3a1e5">[https://www.britannica.com/science/quasicrystal quasicrystal]</ref>
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# The 1D quasicrystal is obtained as a section of the decorated periodic lattice by E par : each time the E par line intercepts a segment line, an atomic position is generated.<ref name="ref_95a81cbf">[https://www.sciencedirect.com/topics/materials-science/quasicrystal Quasicrystal - an overview]</ref>
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# More complex structures can be generated: for instance, the segment line can be given a longer length; this will generate additional positions in the 1D quasicrystal.<ref name="ref_95a81cbf" />
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# Illustration of the 2D description of a 1D quasicrystal, here the Fibonacci chain (see text).<ref name="ref_95a81cbf" />
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# This procedure generalizes to the case of a 3D quasicrystal such as icosahedral phases.<ref name="ref_95a81cbf" />
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# In a quasicrystal, imagine atoms are at the points of the objects you’re using.<ref name="ref_c6929e49">[https://www.pbs.org/newshour/science/quasicrystals-win-chemistry-nobel What are Quasicrystals, and What Makes Them Nobel-Worthy?]</ref>
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# The first synthetic quasicrystal was grown in the lab in 1982, and there are now more than 100 types of lab-grown ones.<ref name="ref_e2fa2383">[https://www.newscientist.com/article/2115570-third-ever-natural-quasicrystal-found-in-siberian-meteorite/ Third-ever natural quasicrystal found in Siberian meteorite]</ref>
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# The new quasicrystal has a similar molecular structure to the first one, but slightly different chemistry: both are made of aluminium, copper and iron, but in different proportions.<ref name="ref_e2fa2383" />
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# With the composition of this new quasicrystal in hand, it should be easy to synthesise it.<ref name="ref_e2fa2383" />
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# A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic.<ref name="ref_0e9191f1">[https://en.wikipedia.org/wiki/Quasicrystal#:~:text=A%20quasiperiodic%20crystal%2C%20or%20quasicrystal,but%20it%20lacks%20translational%20symmetry. Quasicrystal]</ref>
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# 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.<ref name="ref_0e9191f1" />
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# This quasicrystal, with a composition of Al 63 Cu 24 Fe 13 , was named icosahedrite and it was approved by the International Mineralogical Association in 2010.<ref name="ref_0e9191f1" />
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# A further study of Khatyrka meteorites revealed micron-sized grains of another natural quasicrystal, which has a ten-fold symmetry and a chemical formula of Al 71 Ni 24 Fe 5 .<ref name="ref_0e9191f1" />
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# He didn’t know it yet, but he had just discovered the first quasicrystal.<ref name="ref_ad945b07">[https://www.nature.com/articles/d41586-019-00026-y Quasicrystals: the thrill of the chase]</ref>
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# Steel hardened by small quasicrystal particles is used in needles for acupuncture and surgery, dental instruments and razor blades.<ref name="ref_ad945b07" />
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# Perhaps, he surmised, one of these was a misidentified quasicrystal.<ref name="ref_ad945b07" />
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# On 2 January 2009, the researchers became certain that they had discovered a natural quasicrystal (later named icosahedrite).<ref name="ref_ad945b07" />
 +
# A Ho-Mg-Zn icosahedral quasicrystal formed as a dodecahedron, the dual of the icosahedron.<ref name="ref_122643af">[https://en.wiktionary.org/wiki/quasicrystal quasicrystal]</ref>
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# The force of the Trinity test had forged a new quasicrystal.<ref name="ref_5419c0fc">[https://www.merriam-webster.com/dictionary/quasicrystal Quasicrystal Definition & Meaning]</ref>
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# The data show that electron momenta and energies are correlated with the structure of the quasicrystal.<ref name="ref_61bba954">[https://www2.lbl.gov/Science-Articles/Archive/quasicrystal-states.html Quasicrystal Electronic State Studies]</ref>
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# IN THE PLANE, THE AlNiCo QUASICRYSTAL, WHICH CONSISTS OF OVERLAPPING DECAGONS, IS APERIODIC.<ref name="ref_61bba954" />
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# Peter Gille of the Ludwig-Maximilians-University, Munich, grew the quasicrystal, and the samples were prepared and characterized by Horn and by Wolfgang Theis of the Free University of Berlin.<ref name="ref_61bba954" />
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# The electrons aren't localized to clusters, instead they feel the long-range quasicrystal potential," Rotenberg says.<ref name="ref_61bba954" />
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# A quasicrystal, however, is a permanent physical fingerprint of the conditions inside the nuclear fireball it formed within.<ref name="ref_b6fd6550">[https://www.discovermagazine.com/the-sciences/the-first-atomic-bomb-created-this-forbidden-quasicrystal The First Atomic Bomb Created This ‘Forbidden’ Quasicrystal]</ref>
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# As scientists whip up more elemental combinations in a lab or uncover them in remote atomic blast sites, they may stumble across a quasicrystal useful for all sorts of applications, he says.<ref name="ref_b6fd6550" />
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# So, by examining all of the polygons, you can locate the verticies of your quasicrystal.<ref name="ref_440e2f00">[http://www.physics.emory.edu/~weeks/software/exquasi.html How to make a quasicrystal]</ref>
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# Each polygon corresponds to a vertex of the quasicrystal you are trying to make.<ref name="ref_440e2f00" />
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# In fact, the indices of these four polygons are very similar, and these four polygons correspond to the four vertices of a single tile in your quasicrystal.<ref name="ref_440e2f00" />
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# Since in principle these imaginary sets of lines can be infinitely big, the program stops at some arbitrary point (basically some point past when the page is filled with a quasicrystal).<ref name="ref_440e2f00" />
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# For one, they realized a 2D quasicrystal optical lattice tuned far from any internal atomic resonance, reducing problematic atom-light scattering effects.<ref name="ref_63c054fc">[https://physics.aps.org/articles/v12/31 A Quasicrystal for Quantum Simulations]</ref>
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# Schneider’s team also showed that the time evolution of the BEC on the quasicrystal is quite distinct from that on a periodic lattice.<ref name="ref_63c054fc" />
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# The successive population of these smaller momentum states constitutes a quantum walk in the quasicrystal’s momentum space.<ref name="ref_63c054fc" />
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# In the present work, Schneider and colleagues interpret their 2D quasicrystal as an incommensurate projection of a 4D cubic lattice onto a 2D plane.<ref name="ref_63c054fc" />
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# This was the discovery (later recognized by Nobel Prize) of a "quasicrystal" (QC), a curious solid that shows long-range ordering similar to crystals but lacks their periodicity.<ref name="ref_3452f0db">[https://www.tus.ac.jp/en/mediarelations/archive/20211119_0222.html Clear as (Quasi) Crystal: Scientists Discover the First Ferromagnetic Quasicrystals]</ref>
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# This enables us to describe the whole quasicrystal structure with a finite set of parameters.<ref name="ref_3015322b">[http://www.jcrystal.com/steffenweber/qc.html Introduction to Quasicrystals]</ref>
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# After the discovery of quasicrystals in 1984 a close resemblance was noted between the icosahedral quasicrystal and the 3D-Penrose pattern.<ref name="ref_3015322b" />
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# By putting atoms at the vertices of a 3D-Penrose pattern one can obtain a Fourier Transform which explains very well the diffraction patterns of the found Al-Mn quasicrystal.<ref name="ref_3015322b" />
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# However, the structural solution of the quasicrystal is still under debate and it will provide a broad aspect for future development and guide the investigations of different aspects of quasicrystals.<ref name="ref_10b51f7b">[https://medcraveonline.com/MSEIJ/quasicrystal-a-beautiful-morphology-and-diffraction-pattern.html Quasicrystal: a beautiful morphology and diffraction pattern]</ref>
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# The diffraction patterns simulated from these structures are startlingly close to those observed for the icosahederal phase and this phase was termed as a quasicrystal.<ref name="ref_10b51f7b" />
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# The transmission electron microscopy selected area electron diffraction pattern form Al-Cu-Fe icosahedral quasicrystal.<ref name="ref_10b51f7b" />
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# Moreover, the quantum quasicrystal patterns are found to emerge as the ground state with no need of moderate thermal uctuations.<ref name="ref_98408bf0">[https://arxiv.org/pdf/2110.12299?context=cond-mat.soft Exploring quantum quasicrystal patterns: a variational study A. Mendoza-Coto,1, ∗ R. Turcati,1 V. Zampronio,2 R. D´ıaz-M´endez,3, 4 T. Macr`ı,5 and F. Cinti6, 7, 8, †]</ref>
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# Our calculations show that, in an intermediate region between the homogeneous superuid and the normal quasicrystal phases, these exotic states indeed exist at zero temperature.<ref name="ref_98408bf0" />
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# Yet, by increasing uctuations, a structural transition from quasicrystal to cluster triangular crystal takes place.<ref name="ref_98408bf0" />
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# The blue curve separates the homogeneous from the dodecagonal cluster quasicrystal phase.<ref name="ref_98408bf0" />
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# It's been nearly four decades since he set out to convince the chemist community of a discovery most considered impossible – a material called a quasicrystal.<ref name="ref_23666aed">[https://www.sciencealert.com/quasicrystals-were-once-impossible-we-re-still-finding-new-ways-to-make-them Physicists Just Created a Strange New Type of 'Quasicrystal' in The Lab]</ref>
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# "It's a fundamentally new type of quasicrystal, and we've been able to figure out the rules for making it, which will be useful in the continued study of quasicrystal structures.<ref name="ref_23666aed" />
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# A quasicrystal is an aperiodic crystal that is not an incommensurate modulated structure, nor an aperiodic composite crystal.<ref name="ref_fdab6711">[https://dictionary.iucr.org/Quasicrystal Online Dictionary of Crystallography]</ref>
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# However, presence of such a forbidden symmetry is not required for a quasicrystal.<ref name="ref_fdab6711" />
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# The term quasicrystal stems from the property of quasiperiodicity observed for the first alloys found with forbidden symmetries.<ref name="ref_fdab6711" />
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# The material was a quasicrystal, a solid in which atoms could exist in stable patterns of peculiar irregular symmetry.<ref name="ref_3ea0bc4e">[https://www.cbc.ca/radio/quirks/may-22-solving-our-sand-crisis-nuclear-quasicrystals-voyager-hears-an-interstellar-hum-and-more-1.6035006/world-s-first-nuclear-detonation-forged-the-first-human-made-quasicrystal-1.6035016 World's first nuclear detonation forged the first human-made quasicrystal]</ref>
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# His theorizing was soon proved right, as another researcher, Dan Schectman, created a quasicrystal in his lab, a feat that won Shechtman the Nobel Prize in Chemistry in 2011.<ref name="ref_3ea0bc4e" />
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# Now in new work they've found a quasicrystal unlike anything ever seen before from ground zero of the Trinity atomic test.<ref name="ref_3ea0bc4e" />
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# After analyzing the sample that came from the nuclear blast site, Steinhardt and his colleagues found the quasicrystal had fivefold, threefold and twofold symmetries.<ref name="ref_3ea0bc4e" />
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# Other puzzling cases have been reported, but until the concept of quasicrystal came to be established they were explained away or simply denied.<ref name="ref_42005e72">[https://www.chemeurope.com/en/encyclopedia/Quasicrystal.html Quasicrystal]</ref>
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# Since 2004 different research groups have reported evidence for quasicrystal ordering in liquids and polymers.<ref name="ref_42005e72" />
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# The new quasicrystal, formed of silicon, copper, calcium and iron, is “brand new to science,” says mineralogist Chi Ma of Caltech, who was not involved with the study.<ref name="ref_752d6908">[https://www.sciencenews.org/article/new-quasi-crystal-formed-first-atomic-bomb-test A newfound quasicrystal formed in the first atomic bomb test]</ref>
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# Asimow and colleagues hypothesized that the energy released by the shock could have caused the quasicrystal's formation by triggering a rapid cycle of compression, heating, decompression, and cooling.<ref name="ref_12563628">[https://www.caltech.edu/about/news/natural-quasicrystals-may-be-result-collisions-between-objects-asteroid-belt-50984 Natural Quasicrystals May Be the Result of Collisions Between Objects in the Asteroid Belt]</ref>
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# And now we know that when you shock the starting materials that were available in that meteorite, you get a quasicrystal.<ref name="ref_12563628" />
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# For example, it is unclear at what point the quasicrystal formed during the shock's pressure and temperature cycle.<ref name="ref_12563628" />
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# This was something thought to be impossible until their Nobel prize-winning discovery by Dan Schechtman in 1982, with Steinhardt suggesting the name ‘quasicrystal’.<ref name="ref_33420604">[https://www.chemistryworld.com/news/oldest-human-made-quasicrystal-discovered-in-remains-of-first-nuclear-blast/4013708.article Oldest human-made quasicrystal discovered in remains of first nuclear blast]</ref>
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# The trinitite sample is likely to be the first quasicrystal humans ever synthesised, albeit unknowingly.<ref name="ref_33420604" />
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# At low temperatures motion of atoms within the solid is difficult, and phason strain may be easily frozen into the quasicrystal, limiting its perfection.<ref name="ref_6193386d">[https://www.britannica.com/science/quasicrystal/Properties quasicrystal - Properties]</ref>
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# The term quasicrystal should simply be regarded as an abbreviation for quasiperiodic crystal, possibly with two provisos, as discussed below.<ref name="ref_6c743825">[https://arxiv.org/pdf/cond-mat/0008152 The Definition of Quasicrystals  RON LIFSHITZ]</ref>
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# Here we construct the one-dimensional Anbry-Andre-Harper (AAH) model based on the coupled ring chain structure to reveal diusive quasicrystal.<ref name="ref_43826de8">[http://arxiv.org/pdf/2208.06765 Non-Hermitian Diffusive Quasicrystal Zhoufei Liu1 and Jiping Huang1,]</ref>
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# The quasicrystal is an ordered but not periodic phase that has received much attention theoretically and experimentally over the last several decades.<ref name="ref_43826de8" />
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# Here, we reveal through real-time and 3D imaging the formation of a single decagonal quasicrystal arising from a hard collision between multiple growing quasicrystals in an Al-Co-Ni liquid.<ref name="ref_a9d75b9b">[https://arxiv.org/pdf/2106.14074 Formation of a single quasicrystal upon collision of multiple grains Insung Han1, †, Kelly L. Wang2, †, Andrew T. Cadotte3, Zhucong Xi1, Hadi Parsamehr1,]</ref>
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# 6. 2 Structures of quasicrystals Quasicrystal was a special form of solid matter that is ordered but not periodic.<ref name="ref_fc185657">[https://arxiv.org/pdf/2108.01560 TOPOLOGICAL STATES IN QUASICRYSTALS Jiahao Fan]</ref>
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# One can ask what the eects of disorder are in a quasicrystal, and how critical states are aected by randomness.<ref name="ref_ed2a6e8c">[https://arxiv.org/pdf/2012.14744 The Fibonacci quasicrystal: case study of hidden dimensions and multifractality]</ref>
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# When is irrational, the potential Vn = V cos(2n + ) is quasiperiodic in n, and HAAH describes a 1D quasicrystal.<ref name="ref_249e08bf">[https://arxiv.org/pdf/2105.03302 Non-Hermitian quasicrystal in dimerized lattices Longwen Zhou1, ∗ and Wenqian Han1]</ref>
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# In this work, we consider another extension of the AAH quasicrystal by introducing hopping dimerizations.<ref name="ref_249e08bf" />
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# DEPLOYABLE QUASICRYSTAL DESIGN Kirigami is a traditional Japanese paper crafting art that has recently become popular among scientists and engineers.<ref name="ref_62f928d3">[https://arxiv.org/pdf/2104.13399 Quasicrystal kirigami Lucy Liu,1, ∗ Gary P. T. Choi,2, ∗ and L. Mahadevan3, 4, †]</ref>
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# Here we show that we can achieve deployable symmetry-preserving patterns, with the special quasicrystal rotation orders preserved upon deployment in all three approaches.<ref name="ref_62f928d3" />
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# Deployable quasicrystal patterns created using the expansion tile method.<ref name="ref_62f928d3" />
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# B. The tile removal method Our second approach for achieving deployability is re- moving tiles from a given quasicrystal pattern, changing the lattice connectivity and introducing negative space.<ref name="ref_62f928d3" />
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===소스===
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<references />
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== 메타데이터 ==
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===위키데이터===
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* ID :  [https://www.wikidata.org/wiki/Q263214 Q263214]
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===Spacy 패턴 목록===
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* [{'LOWER': 'quasicrystal'}]

2022년 9월 16일 (금) 02:27 기준 최신판

사전 형태의 자료


리뷰, 에세이, 강의노트

  • Faustin Adiceam, Open Problems and Conjectures related to the Theory of Mathematical Quasicrystals, arXiv:1604.06280 [math-ph], April 16 2016, http://arxiv.org/abs/1604.06280
  • Baake, Michael, David Damanik, and Uwe Grimm. “What Is Aperiodic Order?” arXiv:1512.05104 [math-Ph], December 16, 2015. http://arxiv.org/abs/1512.05104.

관련논문

  • Fang Fang, Klee Irwin, An Icosahedral Quasicrystal as a Golden Modification of the Icosagrid and its Connection to the E8 Lattice, arXiv:1511.07786 [math.MG], November 20 2015, http://arxiv.org/abs/1511.07786
  • Michael Baake, David Ecija, Uwe Grimm, A guide to lifting aperiodic structures, arXiv:1606.07647 [cond-mat.mtrl-sci], June 24 2016, http://arxiv.org/abs/1606.07647
  • Emilio Zappa, Eric C. Dykeman, James A. Geraets, Reidun Twarock, A group theoretical approach to structural transitions of icosahedral quasicrystals and point arrays, http://arxiv.org/abs/1512.02101v2
  • Palamodov, Victor P. “Uniformly Discrete Quasicrystals Are Crystals.” arXiv:1601.07049 [math], January 26, 2016. http://arxiv.org/abs/1601.07049.
  • Lev, Nir, and Alexander Olevskii. “Fourier Quasicrystals and Discreteness of the Diffraction Spectrum.” arXiv:1512.08735 [math-Ph], December 29, 2015. http://arxiv.org/abs/1512.08735.
  • Bédaride, Nicolas, and Thomas Fernique. “Weak Local Rules for Planar Octagonal Tilings.” arXiv:1512.04679 [math-Ph], December 15, 2015. http://arxiv.org/abs/1512.04679.
  • Puelz, Charles, Mark Embree, and Jake Fillman. “Spectral Approximation for Quasiperiodic Jacobi Operators.” arXiv:1408.0370 [math], August 2, 2014. http://arxiv.org/abs/1408.0370.

노트

말뭉치

  1. Forming a quasicrystal is a little like tiling a floor.[1]
  2. The same goes for this new quasicrystal structure — they require secondary “tiles” that can fill the gaps between decagons.[1]
  3. The arrangement of atoms in a quasicrystal displays a property called long-range order, which is lacking in amorphous metals.[2]
  4. The 1D quasicrystal is obtained as a section of the decorated periodic lattice by E par : each time the E par line intercepts a segment line, an atomic position is generated.[3]
  5. More complex structures can be generated: for instance, the segment line can be given a longer length; this will generate additional positions in the 1D quasicrystal.[3]
  6. Illustration of the 2D description of a 1D quasicrystal, here the Fibonacci chain (see text).[3]
  7. This procedure generalizes to the case of a 3D quasicrystal such as icosahedral phases.[3]
  8. In a quasicrystal, imagine atoms are at the points of the objects you’re using.[4]
  9. The first synthetic quasicrystal was grown in the lab in 1982, and there are now more than 100 types of lab-grown ones.[5]
  10. The new quasicrystal has a similar molecular structure to the first one, but slightly different chemistry: both are made of aluminium, copper and iron, but in different proportions.[5]
  11. With the composition of this new quasicrystal in hand, it should be easy to synthesise it.[5]
  12. A quasiperiodic crystal, or quasicrystal, is a structure that is ordered but not periodic.[6]
  13. 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.[6]
  14. This quasicrystal, with a composition of Al 63 Cu 24 Fe 13 , was named icosahedrite and it was approved by the International Mineralogical Association in 2010.[6]
  15. A further study of Khatyrka meteorites revealed micron-sized grains of another natural quasicrystal, which has a ten-fold symmetry and a chemical formula of Al 71 Ni 24 Fe 5 .[6]
  16. He didn’t know it yet, but he had just discovered the first quasicrystal.[7]
  17. Steel hardened by small quasicrystal particles is used in needles for acupuncture and surgery, dental instruments and razor blades.[7]
  18. Perhaps, he surmised, one of these was a misidentified quasicrystal.[7]
  19. On 2 January 2009, the researchers became certain that they had discovered a natural quasicrystal (later named icosahedrite).[7]
  20. A Ho-Mg-Zn icosahedral quasicrystal formed as a dodecahedron, the dual of the icosahedron.[8]
  21. The force of the Trinity test had forged a new quasicrystal.[9]
  22. The data show that electron momenta and energies are correlated with the structure of the quasicrystal.[10]
  23. IN THE PLANE, THE AlNiCo QUASICRYSTAL, WHICH CONSISTS OF OVERLAPPING DECAGONS, IS APERIODIC.[10]
  24. Peter Gille of the Ludwig-Maximilians-University, Munich, grew the quasicrystal, and the samples were prepared and characterized by Horn and by Wolfgang Theis of the Free University of Berlin.[10]
  25. The electrons aren't localized to clusters, instead they feel the long-range quasicrystal potential," Rotenberg says.[10]
  26. A quasicrystal, however, is a permanent physical fingerprint of the conditions inside the nuclear fireball it formed within.[11]
  27. As scientists whip up more elemental combinations in a lab or uncover them in remote atomic blast sites, they may stumble across a quasicrystal useful for all sorts of applications, he says.[11]
  28. So, by examining all of the polygons, you can locate the verticies of your quasicrystal.[12]
  29. Each polygon corresponds to a vertex of the quasicrystal you are trying to make.[12]
  30. In fact, the indices of these four polygons are very similar, and these four polygons correspond to the four vertices of a single tile in your quasicrystal.[12]
  31. Since in principle these imaginary sets of lines can be infinitely big, the program stops at some arbitrary point (basically some point past when the page is filled with a quasicrystal).[12]
  32. For one, they realized a 2D quasicrystal optical lattice tuned far from any internal atomic resonance, reducing problematic atom-light scattering effects.[13]
  33. Schneider’s team also showed that the time evolution of the BEC on the quasicrystal is quite distinct from that on a periodic lattice.[13]
  34. The successive population of these smaller momentum states constitutes a quantum walk in the quasicrystal’s momentum space.[13]
  35. In the present work, Schneider and colleagues interpret their 2D quasicrystal as an incommensurate projection of a 4D cubic lattice onto a 2D plane.[13]
  36. This was the discovery (later recognized by Nobel Prize) of a "quasicrystal" (QC), a curious solid that shows long-range ordering similar to crystals but lacks their periodicity.[14]
  37. This enables us to describe the whole quasicrystal structure with a finite set of parameters.[15]
  38. After the discovery of quasicrystals in 1984 a close resemblance was noted between the icosahedral quasicrystal and the 3D-Penrose pattern.[15]
  39. By putting atoms at the vertices of a 3D-Penrose pattern one can obtain a Fourier Transform which explains very well the diffraction patterns of the found Al-Mn quasicrystal.[15]
  40. However, the structural solution of the quasicrystal is still under debate and it will provide a broad aspect for future development and guide the investigations of different aspects of quasicrystals.[16]
  41. The diffraction patterns simulated from these structures are startlingly close to those observed for the icosahederal phase and this phase was termed as a quasicrystal.[16]
  42. The transmission electron microscopy selected area electron diffraction pattern form Al-Cu-Fe icosahedral quasicrystal.[16]
  43. Moreover, the quantum quasicrystal patterns are found to emerge as the ground state with no need of moderate thermal uctuations.[17]
  44. Our calculations show that, in an intermediate region between the homogeneous superuid and the normal quasicrystal phases, these exotic states indeed exist at zero temperature.[17]
  45. Yet, by increasing uctuations, a structural transition from quasicrystal to cluster triangular crystal takes place.[17]
  46. The blue curve separates the homogeneous from the dodecagonal cluster quasicrystal phase.[17]
  47. It's been nearly four decades since he set out to convince the chemist community of a discovery most considered impossible – a material called a quasicrystal.[18]
  48. "It's a fundamentally new type of quasicrystal, and we've been able to figure out the rules for making it, which will be useful in the continued study of quasicrystal structures.[18]
  49. A quasicrystal is an aperiodic crystal that is not an incommensurate modulated structure, nor an aperiodic composite crystal.[19]
  50. However, presence of such a forbidden symmetry is not required for a quasicrystal.[19]
  51. The term quasicrystal stems from the property of quasiperiodicity observed for the first alloys found with forbidden symmetries.[19]
  52. The material was a quasicrystal, a solid in which atoms could exist in stable patterns of peculiar irregular symmetry.[20]
  53. His theorizing was soon proved right, as another researcher, Dan Schectman, created a quasicrystal in his lab, a feat that won Shechtman the Nobel Prize in Chemistry in 2011.[20]
  54. Now in new work they've found a quasicrystal unlike anything ever seen before from ground zero of the Trinity atomic test.[20]
  55. After analyzing the sample that came from the nuclear blast site, Steinhardt and his colleagues found the quasicrystal had fivefold, threefold and twofold symmetries.[20]
  56. Other puzzling cases have been reported, but until the concept of quasicrystal came to be established they were explained away or simply denied.[21]
  57. Since 2004 different research groups have reported evidence for quasicrystal ordering in liquids and polymers.[21]
  58. The new quasicrystal, formed of silicon, copper, calcium and iron, is “brand new to science,” says mineralogist Chi Ma of Caltech, who was not involved with the study.[22]
  59. Asimow and colleagues hypothesized that the energy released by the shock could have caused the quasicrystal's formation by triggering a rapid cycle of compression, heating, decompression, and cooling.[23]
  60. And now we know that when you shock the starting materials that were available in that meteorite, you get a quasicrystal.[23]
  61. For example, it is unclear at what point the quasicrystal formed during the shock's pressure and temperature cycle.[23]
  62. This was something thought to be impossible until their Nobel prize-winning discovery by Dan Schechtman in 1982, with Steinhardt suggesting the name ‘quasicrystal’.[24]
  63. The trinitite sample is likely to be the first quasicrystal humans ever synthesised, albeit unknowingly.[24]
  64. At low temperatures motion of atoms within the solid is difficult, and phason strain may be easily frozen into the quasicrystal, limiting its perfection.[25]
  65. The term quasicrystal should simply be regarded as an abbreviation for quasiperiodic crystal, possibly with two provisos, as discussed below.[26]
  66. Here we construct the one-dimensional Anbry-Andre-Harper (AAH) model based on the coupled ring chain structure to reveal diusive quasicrystal.[27]
  67. The quasicrystal is an ordered but not periodic phase that has received much attention theoretically and experimentally over the last several decades.[27]
  68. Here, we reveal through real-time and 3D imaging the formation of a single decagonal quasicrystal arising from a hard collision between multiple growing quasicrystals in an Al-Co-Ni liquid.[28]
  69. 6. 2 Structures of quasicrystals Quasicrystal was a special form of solid matter that is ordered but not periodic.[29]
  70. One can ask what the eects of disorder are in a quasicrystal, and how critical states are aected by randomness.[30]
  71. When is irrational, the potential Vn = V cos(2n + ) is quasiperiodic in n, and HAAH describes a 1D quasicrystal.[31]
  72. In this work, we consider another extension of the AAH quasicrystal by introducing hopping dimerizations.[31]
  73. DEPLOYABLE QUASICRYSTAL DESIGN Kirigami is a traditional Japanese paper crafting art that has recently become popular among scientists and engineers.[32]
  74. Here we show that we can achieve deployable symmetry-preserving patterns, with the special quasicrystal rotation orders preserved upon deployment in all three approaches.[32]
  75. Deployable quasicrystal patterns created using the expansion tile method.[32]
  76. B. The tile removal method Our second approach for achieving deployability is re- moving tiles from a given quasicrystal pattern, changing the lattice connectivity and introducing negative space.[32]


소스

  1. ↑ 1.0 1.1 Chemists create new quasicrystal material from nanoparticle building blocks
  2. ↑ quasicrystal
  3. ↑ 3.0 3.1 3.2 3.3 Quasicrystal - an overview
  4. ↑ What are Quasicrystals, and What Makes Them Nobel-Worthy?
  5. ↑ 5.0 5.1 5.2 Third-ever natural quasicrystal found in Siberian meteorite
  6. ↑ 6.0 6.1 6.2 6.3 Quasicrystal
  7. ↑ 7.0 7.1 7.2 7.3 Quasicrystals: the thrill of the chase
  8. ↑ quasicrystal
  9. ↑ Quasicrystal Definition & Meaning
  10. ↑ 10.0 10.1 10.2 10.3 Quasicrystal Electronic State Studies
  11. ↑ 11.0 11.1 The First Atomic Bomb Created This ‘Forbidden’ Quasicrystal
  12. ↑ 12.0 12.1 12.2 12.3 How to make a quasicrystal
  13. ↑ 13.0 13.1 13.2 13.3 A Quasicrystal for Quantum Simulations
  14. ↑ Clear as (Quasi) Crystal: Scientists Discover the First Ferromagnetic Quasicrystals
  15. ↑ 15.0 15.1 15.2 Introduction to Quasicrystals
  16. ↑ 16.0 16.1 16.2 Quasicrystal: a beautiful morphology and diffraction pattern
  17. ↑ 17.0 17.1 17.2 17.3 Exploring quantum quasicrystal patterns: a variational study A. Mendoza-Coto,1, ∗ R. Turcati,1 V. Zampronio,2 R. D´ıaz-M´endez,3, 4 T. Macr`ı,5 and F. Cinti6, 7, 8, †
  18. ↑ 18.0 18.1 Physicists Just Created a Strange New Type of 'Quasicrystal' in The Lab
  19. ↑ 19.0 19.1 19.2 Online Dictionary of Crystallography
  20. ↑ 20.0 20.1 20.2 20.3 World's first nuclear detonation forged the first human-made quasicrystal
  21. ↑ 21.0 21.1 Quasicrystal
  22. ↑ A newfound quasicrystal formed in the first atomic bomb test
  23. ↑ 23.0 23.1 23.2 Natural Quasicrystals May Be the Result of Collisions Between Objects in the Asteroid Belt
  24. ↑ 24.0 24.1 Oldest human-made quasicrystal discovered in remains of first nuclear blast
  25. ↑ quasicrystal - Properties
  26. ↑ The Definition of Quasicrystals RON LIFSHITZ
  27. ↑ 27.0 27.1 Non-Hermitian Diffusive Quasicrystal Zhoufei Liu1 and Jiping Huang1,
  28. ↑ Formation of a single quasicrystal upon collision of multiple grains Insung Han1, †, Kelly L. Wang2, †, Andrew T. Cadotte3, Zhucong Xi1, Hadi Parsamehr1,
  29. ↑ TOPOLOGICAL STATES IN QUASICRYSTALS Jiahao Fan
  30. ↑ The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
  31. ↑ 31.0 31.1 Non-Hermitian quasicrystal in dimerized lattices Longwen Zhou1, ∗ and Wenqian Han1
  32. ↑ 32.0 32.1 32.2 32.3 Quasicrystal kirigami Lucy Liu,1, ∗ Gary P. T. Choi,2, ∗ and L. Mahadevan3, 4, †

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