| Popis: |
The Patterson function for the Al6CuLi3 quasicrystal is calculated by Fourier transformation of the measured single-crystal x-ray-diffraction data. The resulting function exhibits peaks corresponding to interatomic distances which occur regularly in the crystal. Using the strip-projection method, we calculate the Patterson function for a Penrose tiling. Both peak positions and peak intensities of the theoretical Patterson function match with the experimental one, thus showing that the structure can be described by a Penrose tiling. The previously determined decoration of the Penrose tiling is found to be in accordance with the experimental Patterson function. Finally, an analysis is made of the width of the peaks in the Patterson function. It is shown that a possible deviation of the atoms from their ideal (by the Penrose tiling determined) positions will be small, at least smaller than 0.1 Å |
