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The structure of a decagonal Al
Ni
Co
quasicrystal with space group P10
/mmc has been determined on the basis of a single-crystal X-ray data set using the five-dimensional description. The best-fit model structure based on a cluster model having lower symmetry than the decagonal symmetry with 103 parameters gives 
= 0.045 and 
= 0.063 for 449 reflections. The structure is well described by the hexagon, boat and star tiling with an edge length of 6.36 Å and is very consistent with recent high-resolution electron-microscopy images. The refined structure is compared with previously discussed model structures including cluster-based models having 20 Å tenfold symmetric clusters.
Ni
Co
quasicrystal with space group P10
/mmc has been determined on the basis of a single-crystal X-ray data set using the five-dimensional description. The best-fit model structure based on a cluster model having lower symmetry than the decagonal symmetry with 103 parameters gives 
= 0.045 and 
= 0.063 for 449 reflections. The structure is well described by the hexagon, boat and star tiling with an edge length of 6.36 Å and is very consistent with recent high-resolution electron-microscopy images. The refined structure is compared with previously discussed model structures including cluster-based models having 20 Å tenfold symmetric clusters.
