THE RELATION BETWEEN ICOSAHEDRAL AND β-W SYMMETRY

Using X-ray precession method, it is found that the distribution of reciprocal lattice of β-W structure is lust the distortion of the reciprocal space of A1₆Li₃Cu quasicrystal structure. Except the distortion, the X-ray diffraction patterns along 5-fold, 3-fold and 2-fold axes can be observed. Their angular relations satisfy well with those of the perfect icosahedral symmetry; and all the diffraction spots can be indexed approxmately to be six-dimension and strictly in three-dimension.