Tiling theory applied to the surface structure of icosahedral AlPdMn quasicrystals
Abstract
Surfaces of 09538984/11/13/010/img1 as observed in scanning tunnelling microscopy (STM) and lowenergy electron diffraction (LEED) experiments show atomic terraces in a Fibonacci spacing. We analyse them in a bulk tiling model due to Elser which incorporates many experimental data. The model has dodecahedral Bergman clusters within an icosahedral tiling 09538984/11/13/010/img2 and is projected from the sixdimensional facecentred hypercubic lattice. We derive the occurrence and Fibonacci spacing of atomic planes perpendicular to any fivefold 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.
 Publication:

Journal of Physics Condensed Matter
 Pub Date:
 April 1999
 DOI:
 10.1088/09538984/11/13/010
 arXiv:
 arXiv:mathph/9903008
 Bibcode:
 1999JPCM...11.2729K
 Keywords:

 Mathematical Physics
 EPrint:
 30 pages, see also http://homepages.unituebingen.de/peter.kramer/ to be published in J.Phys. C