Abstract

The transformation of the two-dimensional (2D) decagonal quasicrystal to various 1D quasicrystals has been studied from the viewpoint of linear phason strain theory and compared with experiments. This theory accounts well for the shifts of electron-diffraction spots during this 2D-1D quasicrystalline transformation. In some cases five 1D quasicrystals can grow along the five twofold directions of the 2D decagonal quasicrystal as fivefold twins, and their composite electron-diffraction pattern has been simulated.

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