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The peak pro les, shifts, and splittings of Bragg re ections, which are inherent in the phason strain of a quasicrystal, are carefully examined using a precise powder X-ray diffraction method for a wide range of different AlCuFeMn alloys and annealing temperatures. Based on the peak-shift dependences of the Bragg re ections on the phason momentum Q⊥, two kinds of new approximant phases are identi ed. These phases have linear phason strains θ1 = τ −6 and θ2 = τ −5, and θ1 = τ −10 and θ2 = τ −5, corresponding to lattice spacings a = 3.814 nm and b = 2.005 nm, and a = 9.985 nm and b = 2.005 nm in the quasiperiodic plane of the orthorhombic system, respectively. [doi:10.2320/matertrans.M2016446]

X-ray Study of Phason Strains in an AlCuFeMn Decagonal Phase