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具12次对称格点阵的衍射图

Diffraction Pattern of Lattice of Points with 12-fold Symmetry.

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【作者】 闵乐泉刘钦圣吴玉珍

【Author】 Min Lequan Liu Qinsheng Wu Yuzhen Department of Mathematics and Mechanics

【机构】 北京科技大学数力系北京科技大学数力系

【摘要】 推导出一种具12次对称格点阵的衍射公式,对该格点阵进行了光学变换,按不同的倒易网格比例、通过舍弃不同的衍射强度点绘制了几幅该格点阵的衍射图,其中一张符合于光学变换图并类似于Ni基超合金的衍射图;而另一张近似于12次准晶的衍射图。可认为不能排除“5次”、“8次”、“10次”和“12次”对称准晶是周期性结构的可能性。

【Abstract】 The diffraction formula of a kind of lattice of points with 12-fold symmetry is deduced. The optical transform of the lattice of points is made. By different ratio of the reciprocal lattice, several diffraction patterns are drawn through eliminating the diffraction spots of different intensities. One of the patterns agrees with the optical transform of the lattice of points andis approximate the diffraction pattern of Ni-based superalloy and another patternis approximateo the diffraction pattern of quasicrystal with 12-fold symmetry. The possibility that "quasicrystals with 5-fold, 8-fold, 10-fold and 12-fold symmetry" may be in fact periodic structures should not be excluded.

  • 【文献出处】 北京科技大学学报 ,Journal of University of Science and Technology Beijing , 编辑部邮箱 ,1991年02期
  • 【被引频次】1
  • 【下载频次】38
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