Crystallography Reports

, Volume 50, Issue 6, pp 938–948

Calculations of the percolation thresholds of a three-dimensional (icosahedral) Penrose tiling by the cubic approximant method

  • R. M. Zakalyukin
  • V. A. Chizhikov
Lattice Dynamics and Phase Transitions

DOI: 10.1134/1.2132400

Cite this article as:
Zakalyukin, R.M. & Chizhikov, V.A. Crystallogr. Rep. (2005) 50: 938. doi:10.1134/1.2132400

Abstract

The percolation thresholds of a three-dimensional Penrose tiling with icosahedral symmetry are determined using the cubic approximant method. The percolation thresholds of the three-dimensional Penrose tiling for the site problem and the bond problem are calculated with an accuracy of 0.001.

Copyright information

© Pleiades Publishing, Inc. 2005

Authors and Affiliations

  • R. M. Zakalyukin
    • 1
  • V. A. Chizhikov
    • 1
  1. 1.Shubnikov Institute of CrystallographyRussian Academy of SciencesMoscowRussia

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