Abstract
Abstract Stable Al71Co13Ni16 represents a commensurate quasiperiodic superstructure of decagonal Al71Co7Ni22. The structure was analysed with a large X-ray diffraction data set. All Bragg peaks observable on an imaging plate detector were recollected on a six-circle diffractometer at the synchrotron source Hasylab. The Bragg peak positions were determined with high accuracy and the resolution in perpendicular space was optimized by collecting all observable reflections including the weak satellite reflections. The five-dimensional Bravais lattice was determined uniquely by a novel Patterson technique. The ‘translation’ vectors of the ‘quasilattice’ were separated from the decoration vectors and the proper metric was derived. Consequences of misindexing the diffraction pattern, especially with respect to scaling, are discussed. A comparison of the superstructure metric with its average structure revealed the structural relationships.
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