Experimental Observation on Orientation Relationship between Binary Cd5.7Yb Quasicrystal and its Crystalline Approximant Cd6Yb

  • Similarity in the electron diffraction patterns of the Cd5.7Yb icosahedral quasicrystal and its cubic approximant Cd6Yb crystal is studied in detail by using transmission electron microscopy. The icosahedral twofold axes are parallel to the cubic <1ττ2> (τ=1.618...) or < 001> directions, the icosahedral pseudo-twofold axes are parallel to the cubic <15 21 25> directions, the icosahedral threefold axes are parallel to the cubic <111> and the icosahedral fivefold are parallel to the cubic <0.1τ> directions. Based on those observations a general stereographic projection is given to illustrate the exact orientation relationship.
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