A_a_1,A_a_2-B_b_1B_b_2缩聚反应的固化理论

本文讨论了A_(a_1),A_(a_2)-B_(b_1)B_(b_2)型缩聚反应的固化理论。给出了溶胶-凝胶分配公式、凝胶化条件、分布函数及适合固化全过程的高分子矩的循环公式和k次矩的解析表示式。     

含引发机制A2＋Aa型缩聚反应体系高分子矩研究

利用概率分析的方法研究了含引发机制的Ａ２＋Ａａ型缩聚反应体系的高分子矩，得到了高分子矩满足的递推公式，给出了该体系０次矩、１次矩和２次矩的明显表达式，讨论了高分子矩在凝胶点附近的临界表示式及其满足的标度律。     

含引发机制A_2＋A_α型缩聚反应体系高分子矩研究

利用概率分析的方法研究了含引发机制的Ａ２＋Ａα型缩聚反应体系的高分子矩，得到了高分子矩满足的递推公式，给出了该体系０次矩、１次矩和２次矩的明显表达式，讨论了高分子矩在凝胶点附近的临界表示式及其满足的标度律。     

含引发机制的Af -Ag型缩聚反应固化理论——高分子矩及平均分子量

讨论了含引发机制的A_f -A_g型缩聚反应体系, 利用该体系数量分布函数, 给出了高分子矩的循环公式. 进一步应用循环公式, 计算了1次、2次、3次高分子矩, 进而得到凝胶点前后的数均分子量、重均分子量和Z-均分子量的明确表达式.     

A_(a_1)B_(b_1)—A_(a_2)B_(b_2)缩聚反应的分布函数和高分子矩

本文用概率统计方法,得到了A_(a1)B_(b1)—A_(a2)B_(b2)缩聚反应的分布函数。应用分布函数定义了高分子各类矩。用直接微商法,得到了计算矩的循环公式。解决了用矩表征这类反应的问题。本文也得到了凝胶化条件。     

分子轨道图形理论的应用--Ⅺ.估算π-键级及判定偶AH反应相对活性的分子矩方法

提出了估算局部分子矩的树图方法 ,用此及分子轨道图形理论中的π_电子能量的分子矩表示公式 ,得到估算π 键级的拓扑方法 ,进而又获得用分子矩判定偶AH分子相对反应活性点的公式 .     

含内环化A—Bb,Cc缩聚反应的溶胶—凝胶分配

结合Ａａ－Ｂｂ，Ｃｃ型缩聚反应，给出了溶胶中含内环化的溶胶－凝胶分配公式及凝胶化条件。     

一般的A_aB_b缩聚反应的固化理论——Ⅲ.标度研究

本文讨论了一般的A_aB_b缩聚反应溶胶-凝胶相转交的标度问题,得到了凝胶点邻近高分子矩的表示式、分布函数的渐近表示式和广义标度律。     

一般的A_aB_b缩聚反应的固化理论——Ⅱ.高分子矩问题

本文对一般的A_aB_b缩聚反应的高分子矩进行了研究。利用我们曾经建议的微商法,得到了适合于固化全过程的矩的循环公式和K-次矩的解析表示式。     

含引发机制A_2 十A_a型缩聚反应的溶胶-凝胶分配理论

讨论了含引发机制的A_2+A_a型缩聚反应体系,给出了该体系溶胶-凝胶分配公式,凝胶化条件,数量分布函数,并证明了数量分布函数的不变性质.     

ON THE POLYCONDENSATION REACTION OF A_a<(B_b C_c) TYPE

For the polycondensation reaction of A_a相似文献   

ON THE POLYCONDENSATION REACTION WITH MONOMER OF A_aB_b TYPE (Ⅱ)——THE POLYMER MOMENTS

With monomer of A_aB_b type, the polymer moments of polycondensation reaction is inves-tigated in detail by means of direct differentiation technique to obtain a recursion formula.This formula is suitable for both pre-gel and post-gel in evaluating the polymer momentsexplicitly.     

Spanning-tree models for Af homopolymerizations with intramolecular reactions

The spanning-tree approximation model is one of the models used for polymerizations with intramolecular reaction regardless of the size of the ring formed. We present a modification of this model that uses more accurate internal estimates of the probabilities of intramolecular reaction. This requires limited Monte Carlo simulations of some molecular structures, resulting in a hybrid probability model (a combined analytic and Monte Carlo model). We then extend the spanning-tree model so that it may be used in the post-gel region. We show three possible extensions of varying degrees of complexity. The resulting models for stepwise A_f homopolymerizations have been coded into programs that run on desktop PCs in a few seconds. The models calculate the amount of intramolecular conversion, the weight-average molecular weight, the gel point, the weight fraction of soluble material, and the weight-average molecular weight of the sol fraction. We discuss the relative merits of the modified spanning-tree model and its three post-gel extensions and show sample calculations for arbitrary homopolymerization systems.     

Curing theory of A_f-A_g type free radical polymerization (I)──Distribution function and its invariant property

ＴｈｅｔｈｅｏｒｙｏｆｎｏｎｌｉｎｅａｒｐｏｌｙｍｅｒｉｚａｔｉｏｎｗａｓｉｎｉｔｉａｔｅｄｂｙＦｌｏｒｙ[1]ａｎｄＳｔｏｃｋｍａｙｅｒ[2].Ｆｏｒｓｉｍｐｌｉｆｙｉｎｇｔｈｅｅｖａｌｕａｔｉｏｎｏｆａｖｅｒａｇｅｐｏｌｙｍｅｒｑｕａｎｔｉｔｉｅｓ,ｍａｎｙｏｔｈｅｒｓｔａｔｉｓｔｉｃａｌｍｅｔｈｏｄｓｓｕｃｈａｓｔｈｅｐｒｏｂａｂｉｌｉｔｙｏｆｇｅｎｅｒａｔｉｎｇｆｕｎｃｔｉｏｎｍｅｔｈｏｄ[3],ｔｈｅｌａｗｏｆｔｏｔａｌｐｒｏｂａｂｉｌｉｔｙｍｅｔｈｏｄ[4,5]ａｎｄｔｈｅｏｔｈｅｒｍｅｔｈｏｄｓ[6…     

ON THE POLYCONDENSATION REACTION WITH MONOMER OF A_aB_b TYPE (Ⅰ)——SOL FRACTION AND GELATION CONDITION

With monomer of A_aB_b type, the sol fraction of polycondensation for post-gel, in whichnot only the functional groups of A to react with those of B, but also the functional groupsof A with those of A and the functional groups of B with those of B are involved, is discuss-ed in detail. As a direct result, the gelation condition is obtained explicitly.     

己二酸—三羟甲基丙烷缩聚反应的理论分析

用唐敖庆等曾得到的含内环化A_a-B_b型缩聚反应的固化理论,对配料比为1.3的己二酸-三羟甲基丙烷缩聚反应实验数据进行了分析,得到的溶胶-凝胶分配曲线与实验结果符合的较好,进一步讨论了内环化对凝胶点的影响,算出了凝胶点以上数均、重均和Z均分子量的理论曲线.     

Statistics of random macromolecular networks made by chainwise polymerization of polyfunctional monomers—2. Characterization of the post-gel region

The molecular parameters characterizing the post-gel properties of macromolecular networks made by chainwise polymerization of polyfunctional monomers are established from the determination of the finite chain probability, computed directly from very simple implicit equations. Thus, sol fraction, crosslink density, effective network chains numbers, dangling trees numbers, and cycle rank are derived easily in very general systems and have expressions morphologically analogous as those obtained for the stepwise polyfunctional polymerization.     

The kth radius of gyration for a polycondensation reaction with identical structural units AaBb

For a polycondensation reaction with identical structural units A_aB_b (i.e. each unit has a functional groups of type A and b of type B) the kth radius of gyration $ \begin{array}{*{20}c} {\left\langle {R^2 } \right\rangle _k = \sum\limits_n {n^k \cdot \left\langle {R_n^2 } \right\rangle P_n } } & {({\rm sum over all }n{\rm - mers; see Eqs}{\rm . (11) and (17))}{\rm }} \\ \end{array} $ is investigated. By means of a differential method, a recursion formula that holds true for both the pre-gel and the post-gel state is obtained for the evaluation of the kth radius.