利用对称操作矩阵表示的乘积推导分子点群的矩阵表示

doi:10.3866/PKU.DXHX202305062

University Chemistry ›› 2024, Vol. 39 ›› Issue (1): 309-313.doi: 10.3866/PKU.DXHX202305062

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

Guisheng Wu, Meng Hu, Dongsen Mao()

School of Chemical and Environmental Engineering, Shanghai Institute of Technology, Shanghai 201418, China

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

Abstract

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

Guisheng Wu, Meng Hu, Dongsen Mao. Deriving the Matrix Representation of Molecular Point Groups Using the Product of Symmetric Operation Matrix Representation[J].University Chemistry, 2024, 39(1): 309-313.

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

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