+ Site Statistics
References:
54,258,434
Abstracts:
29,560,870
PMIDs:
28,072,757
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

Unified structure theory of icosahedral quasicrystals: Evidence from neutron powder diffraction patterns that AlCrFeMnSi, AlCuLiMg, and TiNiFeSi icosahedral quasicrystals are twins of cubic crystals containing about 820 or 1012 atoms in a primitive unit cube



Unified structure theory of icosahedral quasicrystals: Evidence from neutron powder diffraction patterns that AlCrFeMnSi, AlCuLiMg, and TiNiFeSi icosahedral quasicrystals are twins of cubic crystals containing about 820 or 1012 atoms in a primitive unit cube



Proceedings of the National Academy of Sciences of the United States of America 85(22): 8376-8380



A unified structure theory of icosahedral quasicrystals, combining the twinned-cubic-crystal theory and the Penrose-tiling-six-dimensional-projection theory, is described. Values of the primitive-cubic lattice constant for several quasicrystals are evaluated from x-ray and neutron diffraction data. The fact that the low-angle diffraction maxima can be indexed with cubic unit cells provides additional support for the twinned-cubic-crystal theory of icosahedral quasicrystals.

Please choose payment method:






(PDF emailed within 0-6 h: $19.90)

Accession: 050886752

Download citation: RISBibTeXText

PMID: 16593990

DOI: 10.2307/32743


Related references

Icosahedral quasicrystals as twins of cubic crystals containing large icosahedral clusters of atoms: The 1012-atom primitive cubic structure of Al(6)CuLi(3), the C-phase Al(37)Cu(3)Li(21)Mg(3), and GaMg(2)Zn(3). Proceedings of the National Academy of Sciences of the United States of America 85(11): 3666-3669, 1988

Analysis of pulsed-neutron powder diffraction patterns of the icosahedral quasicrystals Pd3Siu and AlCuLiMg (three alloys) as twinned cubic crystals with large units. Proceedings of the National Academy of Sciences of the United States of America 88(15): 6600-6602, 1991

Evidence from x-ray and neutron powder diffraction patterns that the so-called icosahedral and decagonal quasicrystals of MnAl(6) and other alloys are twinned cubic crystals. Proceedings of the National Academy of Sciences of the United States of America 84(12): 3951-3953, 1987

Icosahedral quasicrystals of intermetallic compounds are icosahedral twins of cubic crystals of three kinds, consisting of large (about 5000 atoms) icosahedral complexes in either a cubic body-centered or a cubic face-centered arrangement or smaller (about 1350 atoms) icosahedral complexes in the beta-tungsten arrangement. Proceedings of the National Academy of Sciences of the United States of America 86(22): 8595-8599, 1989

Evidence from electron micrographs that icosahedral quasicrystals are icosahedral twins of cubic crystals. Proceedings of the National Academy of Sciences of the United States of America 87(20): 7849-7850, 1990

Icosahedral and decagonal quasicrystals of intermetallic compounds are multiple twins of cubic or orthorhombic crystals composed of very large atomic complexes with icosahedral point-group symmetry in cubic close packing or body-centered packing: Structure of decagonal Al(6)Pd. Proceedings of the National Academy of Sciences of the United States of America 86(24): 9637-9641, 1989

Identifying and indexing icosahedral quasicrystals from powder diffraction patterns. Physical Review Letters 87(27 Pt 1): 275507, 2002

Additional evidence from x-ray powder diffraction patterns that icosahedral quasi-crystals of intermetallic compounds are twinned cubic crystals. Proceedings of the National Academy of Sciences of the United States of America 85(13): 4587-4590, 1988

So-called icosahedral and decagonal quasicrystals are twins of an 820-atom cubic crystal. Physical Review Letters 58(4): 365-368, 1987

Neutron-diffraction study of icosahedral Al-Cu-Fe single quasicrystals. Physical Review. B, Condensed Matter 44(5): 2071-2084, 1991

Search for possible structures of cubic approximants of icosahedral quasicrystals. Crystallography Reports 45(2): 172-181, 2000

Mysteries of icosahedral quasicrystals: how are the atoms arranged?. Iucrj 3(Pt 4): 230-231, 2016

Lattice dynamics of the icosahedral quasicrystals i-ZnMgSc and i-ZnAgSc and the cubic 1/1-approximant Zn6Sc. Journal of Physics. Condensed Matter 26(5): 055402, 2014

Tetrahedron dynamics in the icosahedral quasicrystals i-ZnMgSc and i-ZnAgSc and the cubic 1/1-approximant Zn6Sc. Journal of Physics. Condensed Matter 25(11): 115405, 2013

Explanation of peak shapes observed in diffraction from icosahedral quasicrystals. Physical Review Letters 59(2): 221-224, 1987