大学化学 >> 2024, Vol. 39 >> Issue (1): 309-313.doi: 10.3866/PKU.DXHX202305062

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利用对称操作矩阵表示的乘积推导分子点群的矩阵表示

吴贵升, 胡猛, 毛东森()   

  • 收稿日期:2023-05-19 录用日期:2023-07-12 发布日期:2023-07-20
  • 通讯作者: 毛东森 E-mail:dsmao@sit.edu.cn
  • 基金资助:
    上海应用技术大学校级重点课程建设

Deriving the Matrix Representation of Molecular Point Groups Using the Product of Symmetric Operation Matrix Representation

Guisheng Wu, Meng Hu, Dongsen Mao()   

  • Received:2023-05-19 Accepted:2023-07-12 Published:2023-07-20
  • Contact: Dongsen Mao E-mail:dsmao@sit.edu.cn

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摘要：

根据矩阵乘法，推出不同对称操作之积所等价的第三个对称操作，并提出了含有不同对称元素的群如何由子群直积得出，同时得出了群元素相乘所衍生出所有新的对称元素。

关键词: 对称操作, 对称元素, 群的直积, 对称操作相乘

Abstract:

Based on matrix multiplication, the third symmetric operation, which is equivalent to the product of different symmetric operations, was deduced in this paper. Furthermore, it was proposed how the group containing different symmetric elements can be derived from the direct product of its subgroups. At the same time, the new symmetric elements can be derived from the multiplication of its group elements.

Key words: Symmetric operation, Symmetric elements, The direct product of a group, Symmetric operation multiplication