Quasicrystals as alloys with short-range order

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Title: Quasicrystals as alloys with short-range order
Authors: Sulston, K.W.1 sulston@upei.ca, Burrows, B.L.2
Source: Physica B. Sep2010, Vol. 405 Issue 18, p3885-3889. 5p.
Subjects: Quasicrystals, Electronic structure, Crystal lattices, Alloys, Approximation theory, Electron distribution
Abstract: Abstract: The electronic structure of quasiperiodic lattices is studied. An alloy theory, including short-range order effects, is used to approximate Fibonacci and Thue–Morse lattices. Short-range order is treated by embedding small clusters in an alloy that itself incorporates a two-site approximation, and the probabilities of these clusters are used to construct an efficient procedure for the calculation of electronic properties. This approach allows easy identification of the contributions of particular clusters to the electronic density of states. As the short-range order is increased via the number of clusters, the density of states can be clearly seen to transition from that of an alloy to that of a quasicrystal. It is shown that the techniques may be applied to other lattices defined by substitution rules. [ABSTRACT FROM AUTHOR]
Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Quasicrystals as alloys with short-range order
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  Data: Abstract: The electronic structure of quasiperiodic lattices is studied. An alloy theory, including short-range order effects, is used to approximate Fibonacci and Thue–Morse lattices. Short-range order is treated by embedding small clusters in an alloy that itself incorporates a two-site approximation, and the probabilities of these clusters are used to construct an efficient procedure for the calculation of electronic properties. This approach allows easy identification of the contributions of particular clusters to the electronic density of states. As the short-range order is increased via the number of clusters, the density of states can be clearly seen to transition from that of an alloy to that of a quasicrystal. It is shown that the techniques may be applied to other lattices defined by substitution rules. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of Physica B is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physb.2010.06.021
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      – Code: eng
        Text: English
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        PageCount: 5
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    Subjects:
      – SubjectFull: Quasicrystals
        Type: general
      – SubjectFull: Electronic structure
        Type: general
      – SubjectFull: Crystal lattices
        Type: general
      – SubjectFull: Alloys
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Electron distribution
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      – TitleFull: Quasicrystals as alloys with short-range order
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