Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Quasicrystal Approximants

Lidin, Sven LU (2017) p.73-92
Abstract

The concept of quasicrystal approximants is best pursued with reference to the quasicrystals themselves. This makes the classification of approximants into classes congruent to those for quasicrystals useful, that is, axial and icosahedral. As noted by several authors, work on approximants has come full circle; the initial interest in approximants grew out of a desire to understand particularly the enigmatic structure of the quasicrystals, but lately it has become increasingly clear that not only the structure but also many of the physical properties of quasicrystals may be more conveniently probed and understood through the study of their approximants. Although the uniqueness of quasicrystals lies in their structures, the approximants... (More)

The concept of quasicrystal approximants is best pursued with reference to the quasicrystals themselves. This makes the classification of approximants into classes congruent to those for quasicrystals useful, that is, axial and icosahedral. As noted by several authors, work on approximants has come full circle; the initial interest in approximants grew out of a desire to understand particularly the enigmatic structure of the quasicrystals, but lately it has become increasingly clear that not only the structure but also many of the physical properties of quasicrystals may be more conveniently probed and understood through the study of their approximants. Although the uniqueness of quasicrystals lies in their structures, the approximants approximate this to such an extent that most questions about quasicrystals can be addressed through the proxy of the approximant phases. This treatise deals mainly with the structural properties of approximants.

(Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Al-Mn samples, aperiodic crystals, decagonal approximants, dodecagonal approximants, icosahedral approximants, octagonal approximants, quasicrystal approximants
host publication
Handbook of Solid State Chemistry
pages
20 pages
publisher
Wiley
external identifiers
  • scopus:105031322165
ISBN
9783527325870
9783527691036
DOI
10.1002/9783527691036.hsscvol1002
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2017 Wiley-VCH Verlag GmbH & Co. KGaA.
id
f0c08fce-a0a7-4ab6-b7c9-260a266cf084
date added to LUP
2026-04-16 13:18:34
date last changed
2026-04-23 08:53:38
@inbook{f0c08fce-a0a7-4ab6-b7c9-260a266cf084,
  abstract     = {{<p>The concept of quasicrystal approximants is best pursued with reference to the quasicrystals themselves. This makes the classification of approximants into classes congruent to those for quasicrystals useful, that is, axial and icosahedral. As noted by several authors, work on approximants has come full circle; the initial interest in approximants grew out of a desire to understand particularly the enigmatic structure of the quasicrystals, but lately it has become increasingly clear that not only the structure but also many of the physical properties of quasicrystals may be more conveniently probed and understood through the study of their approximants. Although the uniqueness of quasicrystals lies in their structures, the approximants approximate this to such an extent that most questions about quasicrystals can be addressed through the proxy of the approximant phases. This treatise deals mainly with the structural properties of approximants.</p>}},
  author       = {{Lidin, Sven}},
  booktitle    = {{Handbook of Solid State Chemistry}},
  isbn         = {{9783527325870}},
  keywords     = {{Al-Mn samples; aperiodic crystals; decagonal approximants; dodecagonal approximants; icosahedral approximants; octagonal approximants; quasicrystal approximants}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{73--92}},
  publisher    = {{Wiley}},
  title        = {{Quasicrystal Approximants}},
  url          = {{http://dx.doi.org/10.1002/9783527691036.hsscvol1002}},
  doi          = {{10.1002/9783527691036.hsscvol1002}},
  year         = {{2017}},
}