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We report the first quasicrystalline boride formed in a rapidly-solidified B 40 Ti 12 Ru 48 alloy, whose diffraction pattern clearly reveals a tenfold rotation axis of decagonal symmetry. The local structure appears to be significantly deviated from an ideal quasicrystal, but the long-range bond-orientational-order restricted by linkages between the robust unit-clusters has successfully generated the apparent 10-fold-symmetric Bragg peaks. This may be attributed to an extreme case of random-tiling quasicrystals, which enable the occurrence of local tiling disorders to account for entropy.
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Miyazaki et al. (2010) studied this question.
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