,Experimental Observation on Orientation Relationship between Binary Cd5.7Yb Quasicrystal and its Cr

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Similarity in the electron diffraction pattes of the Cd5.7 Yb icosahedral quasicrystal and its cubic approximant Cd6 Yb crystal is studied in detail by using transmission electron microscopy. The icosahedral twofold axes are parallel to the cubic (τ = 1.618…) or directions, the icosahedral pseudo-twofold axes are parallel to the cubic directions, the icosahedral threefold axes are parallel to the cubic and the icosahedral fivefold are parallel to the cubic directions. Based on those observations a general stereographic projection is given to illustrate the exact orientation relationship.
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