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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1990 Oct;87(20):7849–7850. doi: 10.1073/pnas.87.20.7849

Evidence from electron micrographs that icosahedral quasicrystals are icosahedral twins of cubic crystals.

L Pauling 1
PMCID: PMC54847  PMID: 11607108

Abstract

An analysis of electron micrographs of Al5Mn quasicrystals obtained by rapidly cooling a molten alloy with composition Al17Mn and removing the Al matrix by electrosolution, revealing aggregates of 20 microcrystals at the corners of a pentagonal dodecahedron, supports the proposal that these microcrystals are cubic crystals twinned about an icosahedral seed, with each cubic microcrystal sharing a threefold axis and three symmetry planes with the seed.

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Selected References

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  1. Pauling L. 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. Proc Natl Acad Sci U S A. 1989 Dec;86(24):9637–9641. doi: 10.1073/pnas.86.24.9637. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Pauling L. 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. Proc Natl Acad Sci U S A. 1989 Nov;86(22):8595–8599. doi: 10.1073/pnas.86.22.8595. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Steinhardt P. J. Icosahedral solids: a new phase of matter? Science. 1987 Nov 27;238(4831):1242–1247. doi: 10.1126/science.238.4831.1242. [DOI] [PubMed] [Google Scholar]

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