Home

Citation: Zhao Xue-Zhuang, Xu Xiu-Fang. The Molecular Fuzzy Symmetry[J]. Acta Physico-Chimica Sinica, ;2004, 20(10): 1175-1178. doi: 10.3866/PKU.WHXB20041001 shu

The Molecular Fuzzy Symmetry

1.
Department of Chemistry, Nankai University, Tianjin　300071

Received Date: 17 June 2004
Available Online: 15 October 2004

The membership function(μZ) in fuzzy mathematics has been introduced into molecular point group, and fuzzy point group may be constructed to describe the kind of molecular imperfect symmetry. Furthermore, several concepts such as fuzzy irreducible representation and fuzzy generalized parity for molecular orbital with fuzzy symmetry have been put forward. Exploring the fuzzy symmetry of prototype linear, planar and non-planar molecules, there is a new land of theoretical chemistry before us. Based on this, we have investigated the fuzzy symmetry of simple chemical reactions, revealing the quasi-quantitative characteristics of Woodward-Hoffmann rule.
- Fuzzy symmetry;Molecule;Molecular orbital;Membership function;　Woodward-Hoffmann rule
1. [1]
  Jiying Liu , Zehua Li , Wenjing Zhang , Donghui Wei . Molecular Orbital and Nucleus-Independent Chemical Shift Calculations for C₆H₆ and B₁₂H₁₂^2-: A Computational Chemistry Experiment. University Chemistry, 2025, 40(3): 186-192. doi: 10.12461/PKU.DXHX202406085
2. [2]
  Jinghan Xu , Yang Wang , Donghui Wei . Drawing Cross-Sectional Contour Maps of π Molecular Orbitals. University Chemistry, 2025, 40(3): 23-29. doi: 10.12461/PKU.DXHX202403023
3. [3]
  Jin Tong , Shuyan Yu . Crystal Engineering for Supramolecular Chirality. University Chemistry, 2024, 39(3): 86-93. doi: 10.3866/PKU.DXHX202308113
4. [4]
  Jiaxun Wu , Mingde Li , Li Dang . The R eaction of Metal Selenium Complexes with Olefins as a Tutorial Case Study for Analyzing Molecular Orbital Interaction Modes. University Chemistry, 2025, 40(3): 108-115. doi: 10.12461/PKU.DXHX202405098
5. [5]
  Yong Shu , Xing Chen , Sai Duan , Rongzhen Liao . How to Determine the Equilibrium Bond Distance of Homonuclear Diatomic Molecules: A Case Study of H₂. University Chemistry, 2024, 39(7): 386-393. doi: 10.3866/PKU.DXHX202310102
6. [6]
  Zhiwen HUANG , Qi LIU , Jianping LANG . W/Cu/S cluster-based supramolecular macrocycles and their third-order nonlinear optical responses. Chinese Journal of Inorganic Chemistry, 2025, 41(1): 79-87. doi: 10.11862/CJIC.20240184
7. [7]
  Dan Liu . 可见光-有机小分子协同催化的不对称自由基反应研究进展. University Chemistry, 2025, 40(6): 118-128. doi: 10.12461/PKU.DXHX202408101
8. [8]
  Kai Yang , Gehua Bi , Yong Zhang , Delin Jin , Ziwei Xu , Qian Wang , Lingbao Xing . Comprehensive Polymer Chemistry Experiment Design: Preparation and Characterization of Rigid Polyurethane Foam Materials. University Chemistry, 2024, 39(4): 206-212. doi: 10.3866/PKU.DXHX202308045
9. [9]
  .
  CCS Chemistry | 超分子活化底物为自由基促进高效选择性光催化氧化
  . CCS Chemistry, 2025, 7(10.31635/ccschem.025.202405229): -.
10. [10]
  Yujie WANG , Laobang WANG , Zheng ZHANG , Qi LIU , Jianping LANG . Construction of W/Cu/S cluster-based supramolecular compounds via alkynyl/sulfur cycloaddition and their third-order nonlinear optical properties. Chinese Journal of Inorganic Chemistry, 2025, 41(10): 2069-2077. doi: 10.11862/CJIC.20250129
11. [11]
  Junjie Zhang , Yue Wang , Qiuhan Wu , Ruquan Shen , Han Liu , Xinhua Duan . Preparation and Selective Separation of Lightweight Magnetic Molecularly Imprinted Polymers for Trace Tetracycline Detection in Milk. University Chemistry, 2024, 39(5): 251-257. doi: 10.3866/PKU.DXHX202311084
12. [12]
  Yaping Li , Sai An , Aiqing Cao , Shilong Li , Ming Lei . The Application of Molecular Simulation Software in Structural Chemistry Education: First-Principles Calculation of NiFe Layered Double Hydroxide. University Chemistry, 2025, 40(3): 160-170. doi: 10.12461/PKU.DXHX202405185
13. [13]
  Qianwen Han , Tenglong Zhu , Qiuqiu Lü , Mahong Yu , Qin Zhong . Performance and Electrochemical Asymmetry Optimization of Hydrogen Electrode Supported Reversible Solid Oxide Cell. Acta Physico-Chimica Sinica, 2025, 41(1): 100005-0. doi: 10.3866/PKU.WHXB202309037
14. [14]
  Wen-Bing Hu . Systematic Introduction of Polymer Chain Structures. University Chemistry, 2025, 40(4): 15-19. doi: 10.3866/PKU.DXHX202401014
15. [15]
  Zehua Zhang , Haitao Yu , Yanyu Qi . Design Strategy for Thermally Activated Delayed Fluorescence Materials with Multiple Resonance Effect. Acta Physico-Chimica Sinica, 2025, 41(1): 100006-0. doi: 10.3866/PKU.WHXB202309042
16. [16]
  Yuxia Luo , Xiaoyu Xie , Fangfang Chen . 药物递送魔法师——分子印迹聚合物. University Chemistry, 2025, 40(8): 202-210. doi: 10.12461/PKU.DXHX202409129
17. [17]
  Yuhui Yang , Jintian Luo , Biao Zuo . A Teaching Approach to Polymer Surface and Interface in Undergraduate Polymer Physics Courses. University Chemistry, 2025, 40(4): 126-130. doi: 10.12461/PKU.DXHX202408056
18. [18]
  Jiayao Wang , Guixu Pan , Ning Wang , Shihan Wang , Yaolin Zhu , Yunfeng Li . Preparation of donor-π-acceptor type graphitic carbon nitride photocatalytic systems via molecular level regulation for high-efficient H₂O₂ production. Acta Physico-Chimica Sinica, 2025, 41(12): 100168-0. doi: 10.1016/j.actphy.2025.100168
19. [19]
  Tingyu Zhu , Hui Zhang , Wenwei Zhang . Exploration and Practice of Ideological and Political Education in the Course of Experiments on Chemical Functional Molecules: Synthesis and Catalytic Performance Study of Chiral Mn(III)Cl-Salen Complex. University Chemistry, 2024, 39(4): 75-80. doi: 10.3866/PKU.DXHX202311011
20. [20]
  Ruiyun Liu , Ping Wang , Xuefei Wang , Feng Chen , Huogen Yu . Work-function-engineered Mo 4d electronic structure modulation in Mo₂C MXene cocatalyst for efficient photocatalytic H₂ evolution. Acta Physico-Chimica Sinica, 2025, 41(11): 100137-0. doi: 10.1016/j.actphy.2025.100137

Get Citation

PDF

XML

Metrics

PDF Downloads(2788)
Abstract views(3968)
HTML views(96)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Address：Zhongguancun North First Street 2,100190 Beijing, PR China Tel: +86-010-82449177-888

DownLoad: Full-Size Img PowerPoint

Return