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Statistical Theory of Stable and Meta-stable Transition for Crystallization and Fusion of Homopolymers Ⅵ. Statistical Dynamics of Polymeric Crystallization by Molecular Segregation-Dependence of Crystal Growth Rate on the Grown Mechanism and Concentratio
Song Mingshi*,Xu Qiang,Hu Guixian,Wang Haiqiao,Wu Sizhu,Li Xiaoyu
Author NameAffiliationE-mail
Song Mingshi* The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029 songmingshi@mail.buct.edu.cn 
Xu Qiang The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029  
Hu Guixian The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029  
Wang Haiqiao The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029  
Wu Sizhu The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029  
Li Xiaoyu The Key Laboratory of Science and Technology of Controlled Chemical Reaction, Minstry of Education, Beijing University of Chemical Technology, Beijing 100029  
Abstract:
First a short review on the dependence of crystal growth rate on the growth mechanism and concentration is present. Based on the structural model of micronucleus and crystal constituent chains, and the feature of statistical dynamics for polymeric crystallization by molecular segregation, a general method for characterizing number the growth rate and micro crystal constituent chains and the size growth rate for crystals was proposed. According to this method, a set of quantitative expressions for correlating the growth rate in number and size with the four types of growth (folding, extending and combination of folding and extending), the crystalline temperature and the crystalline concentration was derived. Then combined the concentration index is combined with the fraction of conformation for segments, a new correlation of the concentration index to the temperature of crystallization and the flexibility of polymeric chain is theoretically obtained. The dependences of the index on the different types of growth are also studied. Finally the relationships between the growth rate for crystals and the concentration of solution were verified by the experimental validating the predictions made by the theory.
Key words:  Growth mechanism of crystallization, Growth rate for crystals, Dynamics of crystallization, Concentration dependence of growth rate
FundProject:
均聚物结晶与熔融化转变的稳态和亚稳态统计理论Ⅵ. 分子分凝统计结晶动力学-结晶增长速率对结晶生长机制和溶液浓度和的依赖性
宋名实*,徐强,胡桂贤,王海侨,吴丝竹,李效玉
摘要:
首先对结晶增长速率同浓度和链柔性依赖性进行总结,然后基于微晶核和粒--高分子键组网络结构模型和高分子分子分凝统计结晶动力学,根据高分子链组是微晶粒同连接链段复合体的结构特征及它们间存在的四个相关性(并存性、简并性、顺反式构象共存性和物料守恒性)的事实,成功地把连接链段缩短增长动力方程同微晶粒体积增大增长动力方程有机结合在一起,从理论上创建出一种微晶粒数增长速率和微晶粒尺寸增长速率表达式的一般化计算法,推导出结晶体系的微晶粒数增长速率、微晶粒尺寸增长速率同四种增长机制(近邻折叠,近邻伸直,近邻折叠同近邻伸直并联并存和近邻折叠同近邻伸直串联并存)、结晶温度和和结晶浓度间定量表达式.当把浓度指数同链的构象分数相连后,就又从理论上得到了浓度指数同温度和链柔性间的关系式,并讨论了它们同增长机制间的关系.最后以大量结晶动力学实验数据对上述所得到的关系式进行了验证,结果表明它们均能同实验结果很好符合.
关键词:  结晶动力学  结晶生长机制  结晶增长速率  结晶浓度  浓度指数
DOI:10.1088/1674-0068/18/5/689-694
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