Soon after the discovery of quasicrystal, a special kind of disorder which exists only in quasicrystals and leads to shift, split and broadening of diffraction peaks began to draw attention. It was explained as a result of the frozen phason strain.In some cases the shift of diffraction peaks is so large that the peaks are arranged equidistantly along a certain direction, or the peaks are located at equi-spaced lines. Such phenomena were interpreted as the presence of local periodical translation or the presence of intermediate states between a quasicrystal and a crystal which is close to the quasicrystal in composition and local atomic Soon after the discovery of quasicrystal, a special kind of disorder which exists only in quasicrystals and leads to shift, split and broadening of diffraction peaks began to draw attention. It was explained as a result of the frozen phason strain. In some cases the shift of diffraction peaks is so large that the peaks are arranged equidistantly along a certain direction, or the peaks are located at equi-spaced lines. Such phenomena were interpreted as the presence of local periodical translation or the presence of intermediate states between a quasicrystal and a crystal which is close to the quasicrystal in composition and local atomic