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Citation: ZHU Yan-Yan, WEI Dong-Hui, ZHANG Wen-Jing, TANG Ming-Sheng. Interpretation on Point Group of D_nd[J]. University Chemistry, ;2016, 31(11): 76-80. doi: 10.3866/PKU.DXHX201603005 shu

Interpretation on Point Group of D_nd

College of Chemical and Molecular Engineering, Zhengzhou University, Zhengzhou 450001, P. R. China

Point group in crystallography is one of the important subjects in structural chemistry.Some topics are very difficult to understand.To name a few,why does point group of D_2d belong to tetragonal? Why are D_4d and D_6d not included in 32 kinds of crystallographic point groups? The two questions are easy to answer if we understand the following topic:for the D_nd point group,when n is odd,it contains an I_n symmetry axis;when n is even,it contains an I_2n symmetry axis.In this work,graphic method and matrix method are adopted to clarify why the D_nd point group includes an S_2n axis,and thus give explanations that D_2d belongs to tetragonal as well as D_4d and D_6d are not included in 32 kinds of crystallographic point groups.
- Point group,
- D_nd,
- Symmetry operation,
- Matrix
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Interpretation on Point Group of D_nd