Home

Citation: WU Ai-ling, ZHAO Xian, GUAN Da-ren, YI Xi-zhang. Second Order Optical Nonlinearity in Substituted Benzene Systems: a Dynamical Lie Algebraic Treatment[J]. Acta Physico-Chimica Sinica, ;2005, 21(11): 1319-1323. doi: 10.3866/PKU.WHXB20051126 shu

Second Order Optical Nonlinearity in Substituted Benzene Systems: a Dynamical Lie Algebraic Treatment

1.
Department of Space Science and Applied Physics, Shandong University at Weihai, Weihai 264209; State Key Laboratory of Crystal Materials, Shandong University, Jinan 250100; Institute of Theoretical Chemistry, Shandong University, Jinan 250100

Received Date: 18 March 2005
Available Online: 15 November 2005

The dynamical Lie algebraic (DLA) formulation is used to describe the nonlinear optical process for the model system of substituted benzenes in a Pariser-Parr-Pople(PPP) Hamiltonian. It is shown how to generate the dynamical Lie algebra for the given Hamiltonian, and then the evolution operator for the system is expressed as a function of group parameters in terms of the elements of the dynamical algebra. The group parameters can be determined with a set of coupled nonlinear differential equations. The statistical average of the molecular electronic polarization can be determined according to the density operator formalism in statistical mechanics, and the hyperpolarizability of the molecules is thus obtained readily. An expression for the hyperpolarizabilities of the di-substituted benzenes as a function of the on-site energy is derived. Compared with other quantum calculations, DLA method appears to provide an effective method for the calculation of the hyperpolarizability of conjugated organic molecules.
- Dynamical Lie algebraic method;Second-order optical nonlinearity; Statistical mechanics;Substituted benzene system
1. [1]
  Jiageng Li , Putrama . 数值积分耦合非线性最小二乘法一步确定反应动力学参数. University Chemistry, 2025, 40(6): 364-370. doi: 10.12461/PKU.DXHX202407098
2. [2]
  Jichao XU , Ming HU , Xichang CHEN , Chunhui WANG , Leichen WANG , Lingyi ZHOU , Xing HE , Xiamin CHENG , Su JING . Construction and hydrogen peroxide-activated chemodynamic activity of ferrocene?benzoselenadiazole conjugate. Chinese Journal of Inorganic Chemistry, 2025, 41(8): 1495-1504. doi: 10.11862/CJIC.20250144
3. [3]
  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
4. [4]
  Yiying Yang , Dongju Zhang . Elucidating the Concepts of Thermodynamic Control and Kinetic Control in Chemical Reactions through Theoretical Chemistry Calculations: A Computational Chemistry Experiment on the Diels-Alder Reaction. University Chemistry, 2024, 39(3): 327-335. doi: 10.3866/PKU.DXHX202309074
5. [5]
  Xiaohang JIN , Qi LIU , Jianping LANG . Room‑temperature solid‑state synthesis, structure, and third‑order nonlinear optical properties of phosphine‑ligand‑protected silver thiolate clusters. Chinese Journal of Inorganic Chemistry, 2025, 41(8): 1505-1512. doi: 10.11862/CJIC.20250125
6. [6]
  Shule Liu . Application of SPC/E Water Model in Molecular Dynamics Teaching Experiments. University Chemistry, 2024, 39(4): 338-342. doi: 10.3866/PKU.DXHX202310029
7. [7]
  Yaling Chen . Basic Theory and Competitive Exam Analysis of Dynamic Isotope Effect. University Chemistry, 2024, 39(8): 403-410. doi: 10.3866/PKU.DXHX202311093
8. [8]
  Jiayu Gu , Siqi Wang , Jun Ling . Kinetics of Living Copolymerization: A Brief Discussion. University Chemistry, 2025, 40(4): 100-107. doi: 10.12461/PKU.DXHX202406012
9. [9]
  Jinfu Ma , Hui Lu , Jiandong Wu , Zhongli Zou . Teaching Design of Electrochemical Principles Course Based on “Cognitive Laws”: Kinetics of Electron Transfer Steps. University Chemistry, 2024, 39(3): 174-177. doi: 10.3866/PKU.DXHX202309052
10. [10]
  Yeyun Zhang , Ling Fan , Yanmei Wang , Zhenfeng Shang . Development and Application of Kinetic Reaction Flasks in Physical Chemistry Experimental Teaching. University Chemistry, 2024, 39(4): 100-106. doi: 10.3866/PKU.DXHX202308044
11. [11]
  Xuzhen Wang , Xinkui Wang , Dongxu Tian , Wei Liu . Enhancing the Comprehensive Quality and Innovation Abilities of Graduate Students through a “Student-Centered, Dual Integration and Dual Drive” Teaching Model: A Case Study in the Course of Chemical Reaction Kinetics. University Chemistry, 2024, 39(6): 160-165. doi: 10.3866/PKU.DXHX202401074
12. [12]
  Dexin Tan , Limin Liang , Baoyi Lv , Huiwen Guan , Haicheng Chen , Yanli Wang . Exploring Reverse Teaching Practices in Physical Chemistry Experiment Courses: A Case Study on Chemical Reaction Kinetics. University Chemistry, 2024, 39(11): 79-86. doi: 10.12461/PKU.DXHX202403048
13. [13]
  Jiajie Cai , Chang Cheng , Bowen Liu , Jianjun Zhang , Chuanjia Jiang , Bei Cheng . CdS/DBTSO-BDTO S-scheme photocatalyst for H₂ production and its charge transfer dynamics. Acta Physico-Chimica Sinica, 2025, 41(8): 100084-0. doi: 10.1016/j.actphy.2025.100084
14. [14]
  Shanghua Li , Malin Li , Xiwen Chi , Xin Yin , Zhaodi Luo , Jihong Yu . High-Stable Aqueous Zinc Metal Anodes Enabled by an Oriented ZnQ Zeolite Protective Layer with Facile Ion Migration Kinetics. Acta Physico-Chimica Sinica, 2025, 41(1): 100003-0. doi: 10.3866/PKU.WHXB202309003
15. [15]
  Yue Wu , Jun Li , Bo Zhang , Yan Yang , Haibo Li , Xian-Xi Zhang . Research on Kinetic and Thermodynamic Transformations of Organic-Inorganic Hybrid Materials for Fluorescent Anti-Counterfeiting Application information: Introducing a Comprehensive Chemistry Experiment. University Chemistry, 2024, 39(6): 390-399. doi: 10.3866/PKU.DXHX202403028
16. [16]
  Yan Li , Xinze Wang , Xue Yao , Shouyun Yu . 基于激发态手性铜催化的烯烃E→Z异构的动力学拆分——推荐一个本科生综合化学实验. University Chemistry, 2024, 39(5): 1-10. doi: 10.3866/PKU.DXHX202309053
17. [17]
  You Wu , Chang Cheng , Kezhen Qi , Bei Cheng , Jianjun Zhang , Jiaguo Yu , Liuyang Zhang . Efficient Photocatalytic Production of H₂O₂ over ZnO/D-A Conjugated Polymer S-scheme Heterojunction and Charge Transfer Dynamics Investigation. Acta Physico-Chimica Sinica, 2024, 40(11): 2406027-0. doi: 10.3866/PKU.WHXB202406027
18. [18]
  Cuicui Yang , Bo Shang , Xiaohua Chen , Weiquan Tian . Understanding the Wave-Particle Duality and Quantization of Confined Particles Starting from Classic Mechanics. University Chemistry, 2025, 40(3): 408-414. doi: 10.12461/PKU.DXHX202407066
19. [19]
  Xiaoling LUO , Pintian ZOU , Xiaoyan WANG , Zheng LIU , Xiangfei KONG , Qun TANG , Sheng WANG . Synthesis, crystal structures, and properties of lanthanide metal-organic frameworks based on 2, 5-dibromoterephthalic acid ligand. Chinese Journal of Inorganic Chemistry, 2024, 40(6): 1143-1150. doi: 10.11862/CJIC.20230271
20. [20]
  Chunguang Rong , Miaojun Xu , Xingde Xiang , Song Liu . 化学热力学熵变计算的教学探讨. University Chemistry, 2025, 40(8): 323-329. doi: 10.12461/PKU.DXHX202409146

Get Citation

PDF

XML

Metrics

PDF Downloads(2502)
Abstract views(4295)
HTML views(132)

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