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In this this paper models of cubic approximants in the Ag-Al-Mg system are developed and their structure chemistry is described. The analysis of two complex binary Ag-Mg phases by means of the I3-cluster concept showed that a third component is necessary to construct quasicrystals or large approximants. The four unit cells of the quasiperiodic tiling by Levine, Steinhardt acid Socolar, the rhombohedron,...
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