高分子凝胶化理论

在这篇文章中,我们得到以下几个结论: 1.建议了一种简便的计算方法,不必知道分子量分布函数,单纯从几率考虑,就能推导出重均分子量的表示式。根据疑胶化条件由重均分子量趋于无穷大来确定的原则,我们也就相应地建议了从几率考虑出发,推导凝胶化条件的方法;这种推导方法,十分简便,应用面也很广。 2.应用我们所建议的方法,推导了多种反应类型的凝胶化条件,前人以及作者以往所得到的凝胶化方面的理论结果,都只是其中的一小部分。此外,我们得到很多重要反应类型,例如酸酐及混合多元酸的酯化、胺化反应、环氧的开环反应、酚醛反应以及双磷类加聚反应等的凝胶化条件,它们对解释实验结果及控制反应的碍胶化现象会有很大用处;当然,理论本身还有待于大量实验来验证与发展。 3.指出不管反应过程中有无内环化现象,凝胶化条件的表示式相同;但当有内环化 时,公式中的反应程度应该指分子间作用的反应程度,而不是指总的反应程度。     

含内环化的A_a-B_b型缩聚反应

本文应用唐敖庆等曾建议的含内环化A_a-B_b型缩聚反应理论,分析了已二酸-三羟甲基丙烷缩聚反应.总结了溶胶分数、环化反应程度等的变化规律,讨论了内环化对凝胶点的影响,并进一步计算了凝胶点后的数均、重均和Z-均分子量.通过对实验数据的分析,验证了唐敖庆等建议的含内环化固化理论是合理的.     

凝胶化反应中标度行为及凝胶化点关系

在苯乙烯(St)-二乙烯苯(DVB)自由基聚合的凝胶化反应过程中,定时取样,得到凝胶化点前后及直至反应终点的一系列溶胶样品,利用光散射技术研究了溶胶相的重均分子量M_w、尺寸均方旋转半径R_g的变化过程,建立了M_w、R_g和反应时间t的标度关系,并在此基础上提出一神新的准确求取凝胶化时间t_gel的方法.     

利用混合溶剂消除ATRP反应制备多臂星形聚合物的凝胶现象

研究了带有苄氯基团的超支化聚苯乙烯引发苯乙烯和甲基丙烯酸甲酯的ATRP反应的动力学,在良溶剂氯苯中,该反应很容易发生凝胶.如果在氯苯溶剂中反应一段时间后,加入1,4-二氧六环作为不良溶剂,则能有效阻止凝胶反应,最终得到分子量超过百万的星形聚合物.     

凝胶化反应全过程的激光光散射跟踪研究

在苯乙烯（Ｓｔ） 二乙烯苯（ＤＶＢ）自由基共聚的凝胶化反应过程中定时取样，得到凝胶化点前后及至终点的一系列样品，然后用激光光散射技术，包括研究散射光强及其角度依赖性的静态光散射（ＳＬＳ）和研究散射光频移的动态光散射（ＤＬＳ），表征了这系列样品的重均分子量Ｍｗ、均方旋转半径Ｒｇ、第二维利系数Ａ２及流体力学半径Ｒｈ等静、动态参量及这些参量的变化规律，定量地描述了凝胶化反应全过程     

水溶性高分子弱凝胶体系凝胶化过程的Monte Carlo模拟

为研究弱凝胶的形成过程,并把高分子弱凝胶用于三次采油,采用三维Monte Carlo模拟了高分子溶液凝胶化过程. 模拟预测了凝胶化开始的时间,得到了凝胶化过程中分子量分布的演化规律和胶团生长的三维图像. 发现生成溶胶与凝胶团的歧化过程,初始聚合物的浓度对能否形成凝胶至关重要,低于临界浓度不能形成凝胶. 模拟了凝胶化速度和聚合物浓度以及交联剂浓度的关系,并与粘度随凝胶化时间变化的实验结果进行比较, 结果表明, 聚合物浓度较高时,浓度对交联反应的影响减弱,这一趋势与实验结果相一致.     

超声法合成聚[2-甲氧基-5-(2''''-乙基己氧基)-对亚苯基亚乙烯基]的研究

采用超声合成方法,以对甲氧基苯酚为起始原料,经醚化、溴甲基化和聚合反应,得到无凝胶、完全可溶、高分子量的聚(2-甲氧基-5-(2'-乙基己氧基)-对亚苯基亚乙烯基)(MEH-PPV),其数均分子量高达9.5×105,分子量分布为2.4.并通过核磁共振氢谱(1H-NMR)和红外光谱进行了结构表征.与常规的机械搅拌反应相比,超声合成方法具有反应时间短、反应温度低、产率高、聚合物分子量较大等特点,特别是这种方法有效抑制了聚合过程中的凝胶化问题,合成的MEH-PPV具有更高的荧光量子效率.     

超声法合成聚[2-甲氧基-5-(2′-乙基己氧基)-对亚苯基亚乙烯基]的研究

采用超声合成方法,以对甲氧基苯酚为起始原料,经醚化、溴甲基化和聚合反应,得到无凝胶、完全可溶、高分子量的聚(2-甲氧基-5-(2′-乙基己氧基)-对亚苯基亚乙烯基)(MEH-PPV),其数均分子量高达9.5×105,分子量分布为2.4.并通过核磁共振氢谱(1H-NMR)和红外光谱进行了结构表征.与常规的机械搅拌反应相比,超声合成方法具有反应时间短、反应温度低、产率高、聚合物分子量较大等特点,特别是这种方法有效抑制了聚合过程中的凝胶化问题,合成的MEH-PPV具有更高的荧光量子效率.     

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.     

基于β-环糊精接枝聚L-谷氨酸星型聚合物的可注射水凝胶的制备与表征

采用Gadelle-Defaye法制备了全-6-氨基-β-环糊精[β-CD-(NH2)7],并用"Grafting-from"接枝法得到不同分子量的星型结构β-环糊精-g-聚L-谷氨酸(β-CD-g-PLGA).对β-CD-g-PLGA进行酰肼化改性后与醛基化海藻酸钠(ALG-CHO)通过席夫碱交联反应制备β-CD-g-PLGA/ALG水凝胶.研究了前驱体浓度以及β-CD-gPLGA分子量对β-CD-g-PLGA/ALG水凝胶性能的影响,并以疏水性辛伐他汀(SIM)为模型药物,研究了水凝胶对SIM的控制释放行为.     

邻苯二甲酸酐与季戊四醇缩聚反应模型的统计处理

首次用统计方法对邻苯二甲酸酐与季戊四醇缩聚反应进了严格处理，获得了缩聚物的数量分布和重量分布函数，数均和重均分子量的表达式。同时还用环形处理法获得了邻苯二甲酸酐与季戊四醇缩聚反应的凝胶化条件。     

Crosslinking Kinetics: Partitioning According to Number of Crosslinks

Summary: To mathematically describe crosslinking kinetics for polymers, we have proposed a novel method that accounts for the number of crosslinks, that is, partitioning according to number of crosslinks (PANC). By contrast, the well‐known method of numerical fractionation tracks generations of crosslinked molecules, defined to include a range of crosslinks. The proposed crosslinking kinetics yield a population balance model that provides moments and hence measurable average properties such as number average molecular weight and weight average molecular weight, polydispersity and average crosslink number. The gel points for batch and continuous‐flow stirred‐tank reactors are derived. Because the usual closure methods do not yield satisfactory convergence, new representations for post‐gelation moments are proposed. The results realistically show how the moments change with time in the post‐gel region.

The average number of crosslinks in the bulk and sol versus time in a batch reactor; the gel point is the dashed line.     

Molecular Architecture of Non-Linear Polymers: Kinetic Modeling and Experimental Characterization of the System Methyl Methacrylate + Ethylene Glycol Dimethacrylate

A general kinetic approach allowing the prediction of the molecular architecture of non-linear polymers is applied to the study of the copolymerization of methyl methacrylate (MMA) with ethylene glycol dimethacrylate (EGDMA). Dynamic predictions of molecular weight distributions, sequence length distributions and mean square radius of gyration are possible before and after gelation. A set of experiments concerning the copolymerization of MMA and EGDMA was carried out in toluene solution at 60 °C for which classic radical kinetics is a good approximation. The time evolution of key polymer properties was followed using a SEC system with a refractive index detector coupled with MALLS allowing the determination of absolute weight average molecular weight and apparent molecular size distributions as well as z-average radius of gyration. Special focus was given to assess the influence of the initial amount of cross-linker on the dynamics of the non-linear structure build-up of these products. A kinetic scheme comprising 23 different chemical species and 76 chemical reactions was used in the modeling studies of this chemical system. Most of the kinetic parameters used in the simulations have been collected from previous studies. For experiments at low monomer conversion (up to about 0.5) a good agreement between predictions and experimental measurements is observed for molecular weights and z-average radius of gyration by fitting a small number of parameters describing gel effect (with a conversion dependent but chain length independent termination rate parameter) and the relative propagation on pendant double bonds. However, predicted values of weight-average molecular weights and z-average radius of gyration before gelation are too low at higher monomer conversions with non-linear systems. The likely cause is the presence of intramolecular reactions which should not be neglected in these circumstances.     

Gelation of Covalently Cross-Linked PEG-Heparin Hydrogels

We study PEG-heparin hydrogels to identify compositions that lead to gel formation and measure the corresponding gelation kinetics. The material consists of a maleimide-functionalized high molecular weight heparin (HMWH) backbone covalently cross-linked with bis-thiol poly(ethylene glycol) (PEG). Using multiple particle tracking microrheology, we investigate a broad composition space, defined by the number of maleimide functional sites per HMWH (f = 3.9-11.8), the molecular weight of the PEG cross-linker (M(n) = 2000, 5000, and 10 000), and the concentrations of the heparin and PEG polymers. Gelation kinetics are characterized by time-cure superposition, yielding the gel time, t(c), and the critical relaxation exponent, n. Gelation times range from 5 < t(c) ≤ 45 min, with the fastest kinetics occurring for the highest HMWH maleimide functionalities. t(c) depends nonmonotonically on the PEG cross-linker molecular weight, suggesting that gelation is affected by the length of the cross-linker relative to intermolecular interactions between heparin molecules. The critical relaxation exponent decreases from n = 0.52 for PEG 2000 to n = 0.39 for PEG 10 000. Finally, 219 equilibrated samples taken over the entire composition space are identified as liquid or solid, defining the "gelation envelope". The boundaries of this empirical gelation envelope are in good agreement with Flory-Stockmayer theory. In all, microrheological measurements enable characterization over a large parameter space and provide crucial insight into the gelation of complex, multifunctional hydrogelators used in therapeutic applications.     

The study of esterifying reaction between epoxy resins and carboxyl acrylic polymers in the presence of tertiary amine

In this article, the fixed gel/nongel point and critical gel point experiments are designed for formulating the regulation of esterification reaction between epoxy resin and carboxyl acrylic polymer in the presence of tertiary amine in organic solvent. Ternary diagrams are employed to illustrate experimental results. It is disclosed that some factors, such as mole ratio of the ternary reactants, molecular weight of epoxy resin, even the hydrophilic solvent content of system, play important roles in the gelling effect of esterification reaction. In order to explain these experimental results, a suggested reaction process is put forward and, subsequently, a critical gel equation is derived from Carothers gelation theory. The equation provides an explicit connection between the critical gel composition and the relevant parameters of the reaction system such as average carboxyl functionality of acrylic resin, average molecular weight of epoxy resin, the base intensity of tertiary amine, and the solid content of system. The regressive critical gel curve based on the equation is well consistent with the experiment data. It expresses that the suggested reaction process is reasonable. Finally, based on the critical gel equation, the important factors that influence the esterification result are discussed qualitatively. All the achievements are beneficial to understanding the reaction process and avoiding useless gelation in preparing the water-reducible compositions.     

Some aspects of the crosslinking of gelatin by dextran dialdehydes

The present paper describes the formation of hydrogels by reaction of gelatins with periodate oxidized dextrans. The effect of a number of reaction parameters on the rate of gelation is investigated. It is demonstrated that the time to onset of gelation depends on the nature of the gelatin, the nature of the dextran dialdehyde, the type of buffer, the ionic strength and the presence of added salts. The gelation time decreases with increasing concentration of aldehydes, increasing pH and increasing molecular weight of the dextran dialdehyde. In general, the gelation occurs more rapidly with decreasing concentration of indifferent electrolytes, except for the reaction in phosphate buffer where an increase in gelation is observed with increasing buffer strength. Ammonium and calcium salts are found to retard significantly the crosslinking reaction.     

A kinetic study of the polymerization of pure meta-divinylbenzene and pure para-divinylbenzene

The kinetics of the polymerization of pure meta-divinylbenzene (DVB) and pure para-divinylbenzene at 70°C have been studied in the presence of toluene and 2-ethylhexanoic acid. The apparent rate constant ratios (k_p/k_t)^1/2 for these systems have been calculated. meta-Divinylbenzene polymerizes at a higher rate than the para-isomer in both toluene and 2-EHA, and the polymerization rates of meta-DVB and para-DVB before the gel point were both higher in the presence of 2-EHA than in toluene. The monomer conversion at the visual gel point is higher for para-DVB than for meta-DVB. The gel point has also been determined indirectly by size exclusion chromatography, and these results are consistent with the gel times observed visually. The conversion of pendant vinyl groups during the polymerization has been determined by bromination. It is found that the homopolymers of poly(para-DVB) have a substantially higher content of pendant vinyl groups than poly(meta-DVB) both during and at the end of the polymerization. The molecular weight distribution (MWD) prior to gelation has been determined by size exclusion chromatography (SEC). Weight average (M̄_w); and number average (M̄_n) molecular weight prior to gelation and of the sol fractions after gelation have also been measured by SEC. There are larger fractions of high molecular weight polymers prior to gelation, when the polymerization was run in the presence of toluene, than in 2-EHA, mainly due to the differences in solvating power of the two diluents. © 1999 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 37: 3345–3359, 1999     

Theoretical study on the linking process of divinyl compounds with living precursors, 1. Uniform precursor chains

The theoretical aspect of the linking reaction between divinyl compounds and uniform living precursors has been studied by using the model of threads going through the holes of buttons. The expressions of various molecular parameters of the clusters formed during the linking process, such as the number- and the weight-average molecular weights, the average degree of branching, the branch distribution function, and the molecular weight distribution function, were rigorously derived. The critical condition of gelation is given as well. The theoretical results obtained are appropriate to the core formation process for the core-first preparation procedure of star-shaped polymers, and to the arm-first approach using a uniform living precursor with low or moderate molecular size.     

流变学法研究部分水解聚丙烯酰胺/Cr(III)交联反应I.浓度的影响

采用流变学法系统地考察了部分水解聚丙烯酰胺（HPAM）/Cr(III)交联体系的 反应动力学。HPAM溶液的粘性模量G”大于弹性模量G’,且其数值随时间不发生变 化,体系为粘性溶液。而HPAM/Cr(III)体系的G’和G”的数值都随时间变化,G” 在反应开始阶段大于G’,当反应进行一段时间后,G’超过G”占据主要地位,体 系成为弹性体系。交联过程可分为三个阶段：第一上升阶段,平缓上升阶段和第二 上升阶段。利用G’～ t曲线可以推测反应机理。实验发现成胶速率随反应物HPAM 和Cr(III)的浓度的增加而增加,而成胶时间缩短。在羧基浓度过量的情况下,交 联反应对Cr(III)浓度的反应级数是1。凝胶的有效弹性交联密度随聚合物浓度的增 加而增,且随凝胶反应的进行而增加。凝胶的交联点间的平均分子量随Cr(III)浓 度的增加和交联反应的进行而下降。