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==References== {{reflist|refs= <ref name="Kleinert">{{cite journal | title = Lattice Textures in Cholesteric Liquid Crystals | author = [[Hagen Kleinert|Kleinert H.]] and Maki K. | journal = Fortschritte der Physik | volume = 29 | issue = 5 | pages = 219β259 | year = 1981 | doi = 10.1002/prop.19810290503 | url = http://www.physik.fu-berlin.de/~kleinert/75/75.pdf | bibcode = 1981ForPh..29..219K | access-date = 2011-10-07 | archive-date = 2020-04-26 | archive-url = https://web.archive.org/web/20200426005943/http://users.physik.fu-berlin.de/~kleinert/75/75.pdf | url-status = live }}</ref> <ref name="r2">{{cite journal|doi=10.1016/0378-4371(82)90359-4|title=Crystallography and the Penrose Pattern|year=1982|last1=Mackay|first1=A.L.|journal=Physica A|volume=114|issue=1|pages=609β613|bibcode = 1982PhyA..114..609M}}</ref> <ref name="r3">{{cite journal|doi=10.1103/PhysRevLett.55.511|pmid=10032372|title=New ordered state between crystalline and amorphous in Ni-Cr particles|year=1985|last1=Ishimasa|first1=T.|last2=Nissen|first2=H.-U.|last3=Fukano|first3=Y.|journal=Physical Review Letters|volume=55|issue=5|pages=511β513|bibcode=1985PhRvL..55..511I}}</ref> <ref name="r4">{{cite journal|doi=10.1103/PhysRevLett.59.1010|pmid=10035936|title=Two-dimensional quasicrystal with eightfold rotational symmetry|year=1987|last1=Wang|first1=N.|last2=Chen|first2=H.|last3=Kuo|first3=K.|journal=Physical Review Letters|volume=59|issue=9|pages=1010β1013|bibcode=1987PhRvL..59.1010W|url=http://repository.ust.hk/ir/bitstream/1783.1-50899/1/PhysRevLett.59.1010.pdf|access-date=2018-12-21|archive-date=2018-07-21|archive-url=https://web.archive.org/web/20180721024645/http://repository.ust.hk/ir/bitstream/1783.1-50899/1/PhysRevLett.59.1010.pdf|url-status=live}}</ref> <ref name="r5">{{cite journal|doi=10.1126/science.1170827|pmid=19498165|title=Natural Quasicrystals|year=2009|last1=Bindi|first1=L.|last2=Steinhardt|first2=P. J.|last3=Yao|first3=N.|last4=Lu|first4=P. J.|journal=Science|volume=324|issue=5932|pages=1306β9|bibcode = 2009Sci...324.1306B |s2cid=14512017}}</ref> <ref name="r6">{{cite journal|author1=de Wolf, R.M. |author2=van Aalst, W. |name-list-style=amp |title= The four dimensional group of Ξ³-Na<sub>2</sub>CO<sub>3</sub>|journal=Acta Crystallogr. A |volume=28 |year=1972|page= S111}}</ref> <ref name="r7">{{cite journal | title=So-called icosahedral and decagonal quasicrystals are twins of an 820-atom cubic crystal |journal=Physical Review Letters |date=1987-01-26|volume=58|issue=4|pages=365β368| pmid=10034915 | doi=10.1103/PhysRevLett.58.365 | last1=Pauling | first1=L|bibcode = 1987PhRvL..58..365P}}</ref> <ref name="r8">{{cite news | newspaper=NY Times | url=https://www.nytimes.com/2011/10/06/science/06nobel.html | title=Israeli Scientist Wins Nobel Prize for Chemistry | author=Kenneth Chang | date=October 5, 2011 | access-date=February 12, 2017 | archive-date=February 19, 2017 | archive-url=https://web.archive.org/web/20170219052709/http://www.nytimes.com/2011/10/06/science/06nobel.html | url-status=live }}</ref> <ref name="r9">{{cite journal|doi=10.1103/PhysRevLett.53.2477|title=Quasicrystals: A New Class of Ordered Structures|year=1984|last1=Levine|first1=Dov|last2=Steinhardt|first2=Paul|journal=Physical Review Letters|volume=53|pages=2477β2480|bibcode=1984PhRvL..53.2477L|issue=26|doi-access=free}}</ref> <ref name="Suck04">{{cite book|author1=Suck, Jens-Boie|author2=Schreiber, M.|author3=HΓ€ussler, Peter|title=Quasicrystals: An Introduction to Structure, Physical Properties and Applications|url=https://books.google.com/books?id=a0_F4CiHevkC&pg=PP1|date=2002|publisher=Springer Science & Business Media|isbn=978-3-540-64224-4|pages=1β|access-date=2016-10-29|archive-date=2024-09-18|archive-url=https://web.archive.org/web/20240918003014/https://books.google.com/books?id=a0_F4CiHevkC&pg=PP1#v=onepage&q&f=false|url-status=live}}</ref> <ref name="comp">{{cite journal |last1=Yamamoto |first1=Akiji |year=2008 |title=Software package for structure analysis of quasicrystals |journal=Science and Technology of Advanced Materials |volume=9 |issue=1 |page=013001 |pmc=5099788|doi=10.1088/1468-6996/9/3/013001 |bibcode=2008STAdM...9a3001Y |pmid=27877919}}</ref> <ref name="s">{{cite journal |last1=Shechtman |first1=D. |last2=Blech |first2=I. |last3=Gratias |first3=D. |last4=Cahn |first4=J. |year=1984 |title=Metallic Phase with Long-Range Orientational Order and No Translational Symmetry|journal=Physical Review Letters |volume=53 |issue=20 |pages=1951β1953 |doi=10.1103/PhysRevLett.53.1951 |bibcode=1984PhRvL..53.1951S|doi-access=free}}</ref> <ref name="nobel">{{cite web |url=https://www.nobelprize.org/nobel_prizes/chemistry/laureates/2011/ |title=The Nobel Prize in Chemistry 2011 |publisher=Nobelprize.org |access-date=2011-10-06 |archive-date=2017-10-05 |archive-url=https://web.archive.org/web/20171005013742/https://www.nobelprize.org/nobel_prizes/chemistry/laureates/2011/ |url-status=live }}</ref> <ref name="speccomp">{{cite journal|first1=Matthew|last1=Colbrook|first2=Bogdan|last2=Roman|first3=Anders|last3=Hansen|title=How to Compute Spectra with Error Control|journal=Physical Review Letters|volume=122|issue=25|pages=250201|year=2019|doi=10.1103/PhysRevLett.122.250201|pmid=31347861|bibcode=2019PhRvL.122y0201C|s2cid=198463498|url=https://www.repository.cam.ac.uk/handle/1810/295873|access-date=2020-09-02|archive-date=2021-01-22|archive-url=https://web.archive.org/web/20210122012725/https://www.repository.cam.ac.uk/handle/1810/295873|url-status=live}}</ref> <ref name="natq">{{Cite journal | doi = 10.1038/srep09111| pmid = 25765857| pmc = 4357871| title = Natural quasicrystal with decagonal symmetry| journal = Scientific Reports| volume = 5| pages = 9111| year = 2015| last1 = Bindi | first1 = L. | last2 = Yao | first2 = N. | last3 = Lin | first3 = C. | last4 = Hollister | first4 = L.S. | last5 = Andronicos | first5 = C.L. | last6 = Distler | first6 = V.V. | last7 = Eddy | first7 = M.P. | last8 = Kostin | first8 = A. | last9 = Kryachko | first9 = V. | last10 = MacPherson | first10 = G.J. | last11 = Steinhardt | first11 = W.M. | last12 = Yudovskaya | first12 = M. | last13 = Steinhardt | first13 = P.J. | bibcode = 2015NatSR...5.9111B}}</ref> <ref name="bloomberg">{{cite news|url=https://www.bloomberg.com/news/2011-10-05/technion-s-shechtman-wins-chemistry-nobel-for-discovery-of-quasicrystals.html|title=Tecnion's Shechtman Wins Nobel in Chemistry for Quasicrystals Discovery|last=Gerlin|first=Andrea|date=October 5, 2011|website=[[Bloomberg News|Bloomberg]]|archive-url=https://web.archive.org/web/20141205014945/http://www.bloomberg.com/news/2011-10-05/technion-s-shechtman-wins-chemistry-nobel-for-discovery-of-quasicrystals.html|archive-date=December 5, 2014|access-date=January 4, 2019}}</ref> <ref name="mrs">{{cite journal|doi=10.1557/mrs.2011.190|title=Sputtering technique forms versatile quasicrystalline coatings|journal=MRS Bulletin|volume=36|issue=8|pages=581|year=2011|doi-access=free}}</ref> <ref name="nature.com">{{cite journal|last2=Kuczera|first2=Pawel|last3=Sologubenko|first3=Alla|last4=Sumigawa|first4=Takashi|last5=Kitamura|first5=Takayuki|last6=Steurer|first6=Walter|last7=Spolenak|first7=Ralph|year=2016|title=Superior room-temperature ductility of typically brittle quasicrystals at small sizes|journal=Nature Communications|volume=7|pages=12261|doi=10.1038/ncomms12261|pmc=4990631|pmid=27515779|last1=Zou|first1=Yu|bibcode=2016NatCo...712261Z}}</ref> <ref name="mitrev">{{cite web |url=https://www.technologyreview.com/s/425729/the-quasicrystal-laureate/ |title=The Quasicrystal Laureate |newspaper=MIT Technology Review |date=12 October 2011 |author=Kalman, Matthew |access-date=12 February 2016 |archive-date=28 July 2020 |archive-url=https://web.archive.org/web/20200728104035/https://www.technologyreview.com/2011/10/12/190784/the-quasicrystal-laureate/ |url-status=live }}</ref> }}
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