We show that the {α}-(AlMnSi) crystal structure is closely (and systematically) related to that of the icosahedral Al-Mn-Si alloys. Using a modification of the ``projection'' method of generating icosahedral structures from six-dimensional lattices, we find a simple description of the {α}-(AlMnSi) structure. This structure, and (we conjecture) the icosahedral one, can also be described as a packing of 54-atom icosahedral clusters.
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Elser et al. (1985) studied this question.
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