Jump to main content
Jump to site search

Issue 97, 2015
Previous Article Next Article

Atomic structure of icosahedral quasicrystals: stacking multiple quasi-unit cells

Author affiliations

Abstract

An effective tiling approach is proposed for the structural description of icosahedral quasicrystals based on the original substitution algorithm. The atomic structure of icosahedral quasicrystals may by derived by using the iterative and recursive inflation/deflation procedure with subsequent decoration of quasi-unit cells. The quasi-unit cells are stacked in three-dimensional space face-to-face without any gaps between them producing the whole infinite icosahedral structure in the same manner as the usual periodic crystals are generated by multiplication of their unit cells containing one or more atoms in a specific spatial arrangement. A variety of examples illustrating the efficiency of the general algorithm is presented. Stacking of quasi-unit cells along the five-fold axis, as well as the arrangement of cells normal to the five-fold, three-fold, and two-fold axes are presented. The possible atomic structure of an icosahedral single-component quasicrystal is derived. Three types of inequivalent sites with exact icosahedral symmetry may simultaneously exist in the quasicrystalline structure. The structure of characteristic clusters enforced by the compatibility with the quasicrystalline type of ordering is discussed.

Graphical abstract: Atomic structure of icosahedral quasicrystals: stacking multiple quasi-unit cells

Back to tab navigation

Article information


Submitted
14 Jul 2015
Accepted
11 Sep 2015
First published
11 Sep 2015

RSC Adv., 2015,5, 79279-79297
Article type
Paper
Author version available

Atomic structure of icosahedral quasicrystals: stacking multiple quasi-unit cells

A. E. Madison, RSC Adv., 2015, 5, 79279
DOI: 10.1039/C5RA13874D

Social activity

Search articles by author

Spotlight

Advertisements