We report transformations between the quasicrystalline and crystalline phas
es in the Zn-Mg-rare-earth (RE) alloys. Both the icosahedral and decagonal
quasicrystals are shown to be formed through the crystalline compounds bein
g not composed of giant highly symmetric atomic clusters. This suggests tha
t the formation of Zn-Mg-RE quasicrystals can be reduced to the behavior of
smaller atomic clusters which should be favorable energetically in terms o
f given elements and stoichiometry. (C) 2000 Elsevier Science B.V. All righ
ts reserved.