MIN Lequan and ZHANG Xiaodan, Nonclassical Plane-crystallographic Groups and Their Applications Ⅲ, J. Univ. Sci. Technol. Beijing, 4(1997), No. 4, pp. 55-60.
Cite this article as:
MIN Lequan and ZHANG Xiaodan, Nonclassical Plane-crystallographic Groups and Their Applications Ⅲ, J. Univ. Sci. Technol. Beijing, 4(1997), No. 4, pp. 55-60.
MIN Lequan and ZHANG Xiaodan, Nonclassical Plane-crystallographic Groups and Their Applications Ⅲ, J. Univ. Sci. Technol. Beijing, 4(1997), No. 4, pp. 55-60.
Citation:
MIN Lequan and ZHANG Xiaodan, Nonclassical Plane-crystallographic Groups and Their Applications Ⅲ, J. Univ. Sci. Technol. Beijing, 4(1997), No. 4, pp. 55-60.
Applied Science School, USTB, Beijing 100083, China
中文摘要
Six kinds of nonclassical periodic lattices with locally 10-fold rotational symmetries are proposed. They can be delineated via nonclassical plane-crystallographic groups. The projections on the planes of corresponding unit cells consisting of embedding polyhedra generate the periodic lattices, respectively. The Fourier-transform patterns of the periodiclattices have almost perfect 10-fold rotational symmetries, which are very similar to those displaying in the electron-diffraction patterns of so-called quasicrystals.
Six kinds of nonclassical periodic lattices with locally 10-fold rotational symmetries are proposed. They can be delineated via nonclassical plane-crystallographic groups. The projections on the planes of corresponding unit cells consisting of embedding polyhedra generate the periodic lattices, respectively. The Fourier-transform patterns of the periodiclattices have almost perfect 10-fold rotational symmetries, which are very similar to those displaying in the electron-diffraction patterns of so-called quasicrystals.
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