Clear space group determination of a decagonal quasicrystal has been performed for the first time by convergent-beam electron diffraction (CBED) about Al70Ni15Fe15. The space group of the alloy has been revealed to be noncentrosymmetric P1̄0̄m2. The alloy is the first quasicrystal to belong to a noncentrosymmetric space group, and has been found to have a lattice period of 0.4 nm in the direction of the decagonal axis, and to accompany structural modulation waves.
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Saito et al. (1992) studied this question.
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