Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals
Abstract
Surfaces in i-Al68Pd23Mn9 as observed with STM and LEED experiments show atomic terraces in a Fibonacci spacing. We analyze them in a bulk tiling model due to Elser which incorporates many experimental data. The model has dodecahedral Bergman clusters within an icosahedral tiling T^*(2F) and is projected from the 6D face-centered hypercubic lattice. We derive the occurrence and Fibonacci spacing of atomic planes perpendicular to any 5fold axis, compute the variation of planar atomic densities, and determine the (auto-) correlation functions. Upon interpreting the planes as terraces at the surface we find quantitative agreement with the STM experiments.
Keywords
Cite
@article{arxiv.math-ph/9903008,
title = {Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals},
author = {Peter Kramer and Zorka Papadopolos and Harald Teuscher},
journal= {arXiv preprint arXiv:math-ph/9903008},
year = {2009}
}
Comments
30 pages, see also http://homepages.uni-tuebingen.de/peter.kramer/ to be published in J.Phys. C