Statistical Mechanics and Dynamics of Hyperbranched Polymerization of ABg Type

Abstract

Abstract: We have theoretically investigated the statistical mechanics and dynamics of the hyperbranched polymerization of AB_g type, a relationship between the conversions of the two species and the Gibbs free energy is obtained, which makes the characterization of the polymer physical quantities can be simplified. Furthermore, the relationship between the dynamics and statistical mechanics of the system under study is pointed out, and then the conversions of the two species as a function of time is derived. Based on the results obtained in this paper, the hyperbranched polymerization can be investigated in a deeper level.

Key words: Hyperbranched polymer, Reaction dynamics, Statistical mechanics

CLC Number:

O644

TrendMD:

HONG Xiao-Zhong, WANG Hai-Jun, ZHAO Bao-Hui, ZHAO Min, BA Xin-Wu . Statistical Mechanics and Dynamics of Hyperbranched Polymerization of AB_g Type[J]. Chem. J. Chinese Universities, 2002, 23(12): 2336.

[1]	ZHANG Xiang, XIE Xulan, XIONG Likun, PENG Yang. Urchin-like Gold Nanoneedle for Efficient Electrocatalytic CO₂ Reduction [J]. Chem. J. Chinese Universities, 2021, 42(9): 2824.
[2]	SHANG Chenyao, ZHANG Donghui. Analytical Gradient Method for Fundamental Invariant Neural Networks [J]. Chem. J. Chinese Universities, 2021, 42(7): 2146.
[3]	CAO Kaiyue, PENG JinWu, LI Hongbin, SHI Chengying, WANG Peng, LIU Baijun. High-temperature Proton Exchange Membranes Based on Cross-linked Polybenzimidazole/hyperbranched-polymer Blends [J]. Chem. J. Chinese Universities, 2021, 42(6): 2049.
[4]	YU Yancun, WANG Xian, GE Junjie, LIU Changpeng, XING Wei. Promoted Formic Acid Electrooxidation Using PdN_x/C Catalyst Prepared with Hyperbranched Polymer^† [J]. Chem. J. Chinese Universities, 2019, 40(7): 1433.
[5]	LU Yue, MA Jianbing, HUANG Xingyuan, XIAO Xue, LI Ming, LU Ying, XU Chunhua. Measuring the Reaction Rates of High Affinity Reactions by Single-molecule Magnetic Tweezers^† [J]. Chem. J. Chinese Universities, 2018, 39(6): 1228.
[6]	WANG Peng, WU Xian, ZHANG Hanyu, YOU Kaiyuan, LIU Zhenchao, LIU Baijun. Preparation of the Blend Membranes Based on Sulfonated Polyetheretherketoneketone and Amine-terminated Hyperbranched Polyimide^† [J]. Chem. J. Chinese Universities, 2018, 39(3): 405.
[7]	WANG Yunming, CHANG Peiyang, GU Fang, WANG Haijun. Intramolecular Reaction in Self-condensing Vinyl Polymerization System with Solvent Effect^† [J]. Chem. J. Chinese Universities, 2017, 38(4): 660.
[8]	WANG Haiwei, LIANG Xuechen, XU Kun, TAN Ying, LU Cuige, WANG Pixin. Synthesis and Characterization of Polyampholyte Hydrogels Based on Hyperbranched Polymer^† [J]. Chem. J. Chinese Universities, 2016, 37(4): 752.
[9]	CHANG Peiyang, WANG Yunming, GU Fang, WANG Haijun. Cyclization in Hyperbranched Polymerization System of AB_g Type^† [J]. Chem. J. Chinese Universities, 2015, 36(8): 1627.
[10]	CHAO Dan-Ming, YAO Lei, CHEN Da-Peng, HE Li-Bing, JIA Xiao-Teng, LIU Hong-Tao, WANG Ce*. Synthesis and Properties of Electroactive Hyperbranched Polymer [J]. Chem. J. Chinese Universities, 2011, 32(11): 2696.
[11]	ZHOU Li, YIN Hui-Jun, GAO Chao, XU Wei-Jian. Facile Synthesis and Self-assembly Behavior of Novel Multihetero-arms Hyperbranched Polyglycerol [J]. Chem. J. Chinese Universities, 2011, 32(1): 170.
[12]	YING Lei, WANG Lei, ZHANG An-Qi, XU Yun-Hua, YANG Wei*, CAO Yong. Synthesis and Electroluminescent Properties of Hyperbranched Light-emitting Polymers with Iridium Complex as Core and 3,6-Carbazole as Branch [J]. Chem. J. Chinese Universities, 2010, 31(7): 1480.
[13]	JIN Jia, WU Yong-Gang, BA Xin-Wu, BO Zhi-Shan. Synthesis and Characterization of 9,9′-Diarylfluorene Hyperbranched Polymers [J]. Chem. J. Chinese Universities, 2010, 31(5): 1023.
[14]	TIAN Wei, FAN Xiao-Dong^*, LIU Tao, LIU Yu-Yang, SUN Le, JIANG Min, HUANG Yi. Molecular Inclusion Complexation and Recognition Behavior of Amphiphilic Hyperbranched Polymer Carrying β-Cyclodextrin as Pendant Groups on Shell Layer [J]. Chem. J. Chinese Universities, 2009, 30(3): 632.
[15]	TIAN Wei, FAN Xiao-Dong*, JIANG Min, DING Wen-Xiu, WANG Hao, LIU Yu-Yang. Synthesis and Characterization of Hyperbranched Poly(β-cyclodextrin) [J]. Chem. J. Chinese Universities, 2008, 29(1): 193.

Statistical Mechanics and Dynamics of Hyperbranched Polymerization of AB_g Type

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments