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Single-grain precession x-ray diffraction photographs of Al6 CuLi3 have been successfully indexed on the basis of icosahedral twinning of cubic crystals with a 1012-atom primitive cubic unit with edge 25.70 Å, giving support to the proposal that the so-called icosahedral quasicrystals are twins of crystals containing eight large icosahedral clusters in the β-W arrangement. In this compound two of the clusters consist of 104 atoms and six consist of 136 atoms, with 24 atoms shared. The same structure is assigned to the C-phase, Al37 Cu3 Li21 Mg3 , and to GaMg2 Zn3 . A theory of icosahedral quasicrystals and amorphous metals is described.

proceedings of the national academy of sciences of the united states of america

Icosahedral quasicrystals as twins of cubic crystals containing large icosahedral clusters of atoms: The 1012-atom primitive cubic structure of Al 6 CuLi 3 , the C-phase Al 37 Cu 3 Li 21 Mg 3 , and GaMg 2 Zn 3