The structure of Al-Ni-Co decagonal quasicrystals is studied by atomic-reso
lution Z-contrast imaging technique. We propose that the presence of "rotat
ional ordering" is the key reason leading to the formation of the 2 nm clus
ters and the overlaps necessary in the coverage model. Every detail of the
Z-contrast images of the 2 nm clusters can be reproduced by a superposition
of rotational variants of the 2 nm clusters seen in the ordered tau (2)-in
flated Al13Co4 approximant phase. introducing this rotational ordering, it
is clear how one cluster can nucleate neighboring clusters. Continuing this
process automatically generates all the intercluster separations necessary
for quasiperiodic tiling. (C) 2000 Elsevier Science B.V. All rights reserv
ed.