一种手性甲壳型液晶高分子的稀溶液行为及链刚性

用激光光散射和粘度法研究了一系列窄分子量分布的新的手性甲壳型液晶聚合物P1～P6的溶液行为及其链刚性.研究发现四氢呋喃是聚合物P1～P6的良溶剂.在四氢呋喃溶液中,聚合物P1～P6的特性粘数[η]和均方根旋转半径z12对重均分子量Mw的依赖关系分别是[η]=(2.75±0.05)×10-3Mw0.78±0.02和z12=(1.53±0.04)×10-2Mw0.60±0.01.按照YamakawaFujiiYoshizaki蠕虫状圆筒模型的粘度理论和BohdaneckyBushin表达式,求得聚合物的单位围长摩尔质量ML=(29.8±1.0)×102nm,构象保持长度q=(15.4±3.0)nm.q和MHS方程指数α的值说明这类在结构上属于侧链型液晶高分子的聚合物在良溶剂四氢呋喃中呈现比较伸展的刚性链构象,其链刚性与半刚性主链液晶高分子的相似.     

高分子链构象分布的直接观察

在动态光散射 (LLS)中 ,可以通过测定时间相关函数得到给定样品的线宽分布G(Γ) .对于刚性的胶体粒子 ,G(Γ)和流体力学尺寸分布直接相关 ,而柔性高分子链的G(Γ)不仅依赖于链长度分布 ,而且和高分子链构象的弛豫有关 .即使是单分散的高分子样品 ,仍会存在链构象的分布 .如果链构象的弛豫和平移扩散的时间尺度相近 ,如很长的高分子链在溶液中 ,构象弛豫则可能导致G(Γ)变宽 .利用聚(N 异丙基丙烯酰胺 ) (PNIPAM)链随温度升高可从伸展的有构象分布的柔性线团变成蜷曲的无构象分布的均匀小球这一事实 ,通过比较～ 2 5和～ 32℃条件下PNIPAM长链在溶液中的G(Γ) ,直接观察到由构象分布引起的G(Γ)额外增宽 .     

对称柔性-半刚性-柔性三嵌段共聚物自组装行为

基于蠕虫状链模型和高斯链模型的自洽场理论研究了对称柔性-半刚性-柔性三嵌段共聚物在二维空间中的相行为. 在设定的计算参数下得到了多种该体系的热力学平衡态相结构, 包括各向同性Isotropic相、 各向异性Nematic相、 层状Smectic-C相、 四角柱状相、 斜交型冰球状相、 断层型冰球状相和稻粒状结构. 与刚-柔两嵌段共聚物相比, 对称柔性-半刚性-柔性三嵌段共聚物更容易形成Smectic-C相. 在柱状相结构中, 在柔性嵌段的牵伸作用下半刚性嵌段在液晶相区中相互穿插, 从而形成菱形和长方形液晶相区. 当取向相互作用较强时, 半刚性嵌段沿长方形液晶相区的短边方向出现2次折叠. 为进一步探索高分子折叠现象产生的原因以及液晶成核机理奠定了理论基础.     

流场驱动高分子链迁移穿过微通道的耗散粒子动力学模拟

利用耗散粒子动力学模拟方法研究了高分子链在流场驱动作用下迁移穿过微通道过程中的链构象变化和动力学行为.在足够大的流场力驱动作用下,高分子链在沿着流场方向逐渐被拉伸,从而能够穿过管径小于其自身尺寸的微通道.耗散粒子动力学模拟结果表明高分子链的迁移过程主要分为3个步骤:(1)在流场驱动作用下,高分子链漂移并逐渐靠近微通道入口;(2)高分子链逐渐调整自身构象,并使其部分进入微通道;(3)高分子链成功穿过微通道.同时,模拟还发现当高分子链尺寸大于微通道细管道管径时,高分子链穿过微通道所需的平均迁移时间随着流量的增加而逐渐减小.此外,为了研究高分子链刚性对高分子链穿过微通道的影响,模型中还引入了蠕虫状高分子链模型.模拟结果发现,高分子链的链刚性越强,其迁移穿过微通道的时间越长.     

共轭高分子链构象和溶液聚集结构研究进展

共轭高分子具有优异的光电性质和可加工性,被广泛用于有机光电器件的制备。共轭单元的存在使得此类高分子具有更刚性的主链结构。由于较强的分子间相互作用,共轭高分子容易在溶液中形成组装结构。共轭高分子的链构象、组装体结构、薄膜形貌和光电性能之间的联系研究成为了本领域的研究热点。然而,共轭高分子在可见光区存在较强的吸收效应,用传统的光散射技术对共轭高分子溶液的研究充满挑战。本文总结了近年来对于共轭高分子链刚性的研究,并从分子尺度上讨论了链结构与光学、电学性能间可能存在的关联;进一步阐述了共轭高分子溶液聚集的形成和演化,总结了溶液聚集与成膜过程中影响场效应迁移率的因素。试图在不同尺度上讨论共轭高分子的微观结构与宏观性能之间的关系。     

模型高分子环形链的构象统计理论

模型高分子环形链的构象统计理论吴大诚，杜鹏，康健（成都科技大学纺织工学院，成都，６１００６５）关键词高分子构象，环形链，随机行走在前文中［１，２］我们曾较系统地讨论过模型高分子尾形链的构象统计学，假定高分子链的两端都被某一界面物理吸附或化学结合，所形...     

界面层中模型高分子链构象的统计理论

高分子自由链在溶液、熔体或固体中的构象有完整的理论和实验工作 ,已是成熟的知识[1～ 4] .近年来 ,受限大分子构象的探索已成为新的热点[5] .界面是一种最简单的限制 ,将对其附近的高分子产生显著的影响 .除理论家的重视以外 ,界面附近高分子构象问题还与许多应用领域相关 .例如 ,液体高分子的表面张力 ,固体高分子的粘附 ,滑移 ,磨蚀等力学特性 ,甚至它们的光学和电学性质都与界面上的组成和分子构象相关[6] .ｄｅＧｅｎｎｅｓ[7] 最早强调界面附近的分子链构象问题的重要性 .他首先从理论上猜测长链的链端若与界面有强吸引作用 ,则它们…     

近壁模型高分子链的计算机模拟

采用简立方格点上的普通无规行走 (NRW)和自避行走 (SAW )为模型链 ,研究了不可穿透的刚性壁附近高分子的构象性质 ,得出近壁链的构象熵和尺寸随一端点与壁之间距离z0 的变化 .所用的计算机模拟技术包括精确计数和MonteCarlo模拟 .数值结果表明 ,近壁链的构象熵降低遵循一种简单规律 ,即当链长愈长或一端愈接近于壁时 ,与长度相同的自由链相比 ,链因壁限制所致构象熵的降低愈大 .当链十分接近于壁时 ,其均方末端距〈R2 〉(尤其是与壁垂直的分量〈R2z〉)大于自由链的相应值 ;随z0 增大 ,〈R2 〉及〈R2z〉开始减小 ,通过某一极小值 ,然后上升 ;当z0 →∞时 ,趋于自由链的极限值 .换言之 ,近壁模型链的线团经历一个收缩再逐渐扩张的过程     

聚甲基乙烯基醚的局部构象

采用低能构象方法和构象扫描方法,在Dreiding力场下,对含有3种不同侧基取向的PVME的全同二单元体和间同二单元体进行全松弛优化.通过统计平均得到PVME各种构象状态的几何参数和构象能.由统计平均的结果确立了包含侧基所有可能取向信息的PVME链的RIS模型,并利用MontCarlo方法计算了PVME链的特征比,结合实验数据讨论了侧基取向行为的影响.     

基于三维椭球模型的构象弹性理论

基于合理的旋转异构态模型得到二维链构象分布函数,通过假设构象态消失规则得到的构象弹性理论能很好地描述高分子材料的橡胶弹性．本研究利用三维椭球模型,考虑各向异性的形变过程,对构象弹性理论进行了进一步修正;并且利用修正后的理论计算全同立构聚丙烯（iPP）的应力应变关系．理论结果成功地描述了在形变过程中,由于结构变化对自由能、熵及内能变化的影响．此外,对高分子凝聚态多尺度衔接问题也作了初步探索．     

二维高分子链形态的计算机模拟

介绍在“高分子物理实验”教学中新开设的又一个计算机模拟实验，即应用自编的改进型四位置模型，模拟二维空间中的自回避行走链和无规行走链，并验算均方末端距和均方回转半径与聚合度的标度关系，所得结果与de Gennes的理论符合良好。     

Freely jointed chain with variable segment number and length

The configurational properties of a molecular chain are investigated. The chain consists of rigid rod segments, which are consecutively correlated. This correlation is described by a two-state model. In the first state, neighboring segments are freely hinged togethers whereas in the second state they are parallel. The partition function and the force-extension relation are calculated. They show significant differences as compared to the usual results for a freely jointed chain. Thus the experimentally observed force-extension relation of polymeric networks buil up of such chains might be affected.     

Rouse's dynamics of networks with pendant chains

A model to describe the dynamics of networks with linear pendant chains has been formulated based on the properties of ensembles of micronetworks, using the Rouse model. This development indicates that the terminal relaxation time of pendant chains with relatively large molecular weight scales with the square of the molecular weight of those chains. On the other hand, when the molecular weight of pendant and elastically active chains are comparable, a nearly exponential growth of the terminal relaxation time with the molecular weight is predicted. The main predictions of the model are compared with experimental results of model poly(dimethyl siloxane) (PDMS) networks, with controlled amounts of linear pendant chains of known molecular weight. The terminal relaxation time of these networks was estimated from the values of the loss modulus G″(ω) measured experimentally. An exponential dependence on the molecular weight of pendant chains was derived for the terminal relaxation time. This behavior is in good agreement with the predictions of our model for micronetworks, provided that the friction coefficient scales linearly with the number of entanglements. © 1999 John Wiley & Sons, Inc. J Polym Sci B: Polym Phys 37: 1121–1130, 1999     

弹性竿模型下超螺旋DNA分子的构象研究

采用弹性竿模型 (Elasticrodmodel) ,用MonteCarlo方法对DNA分子的构象进行研究 .通过计算发现 ,DNA分子的能量是由弯曲势能EB 和扭转势能ET 两部分组成 ,通常EB 比ET 大一至两个数量级 .同时给出了均方回转半径与链长之间的关系为〈R2g〉 =1 1 69 5 -3 5×n +0 0 2 5×n2 ,它体现了DNA分子结构的特点 .验证了公式Lk=Wr+Tw ,得出Lk与Wr比较接近的结论 ,考虑DNA分子的构型 ,意味着DNA分子容易被弯曲而不易被扭转 ,但随着连接系数的增加 ,DNA被扭转的几率也在增加 .这为分析DNA分子的结构特征提供了一种新方法     

A revised worm‐like chain model for elasticity of polypeptide chains

The elasticity of polypeptide chains is usually characterized by the worm‐like chain model that was proposed first to describe the elasticity of double‐stranded DNA. However, the molecular dynamics simulation data on the elasticity of the polypeptide chains are deviated significantly away from the theoretical data obtained based on the worm‐like chain model. Here, we provide a revised worm‐like chain model by considering entropic, enthalpic, and hydrophobic effects and the effect of the compressing force applied to the polypeptide chains. The theoretical data obtained based on the revised model are in good agreement with the molecular dynamics simulation data. Additionally, we reveal that, besides the positive‐force regime in the elasticity of polypeptide chains, the negative‐force regime also plays important roles in the biological functions of proteins. © 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2018 , 56, 297–307     

A Unified Thermodynamic Model of Flow-induced Crystallization of Polymer

We propose a unified thermodynamic model of flow-induced crystallization of polymer (uFIC),which incorporates not only the conformational entropy reduction but also the contributions of flow-induced chain orientation,the interaction of ordered segments,and the free energy of crystal nucleus and crystal morphology.Specifically,it clarifies the determining parameters of the critical crystal nucleus size,and is able to account for the acceleration of nucleation,the emergence of precursor,different crystal morphologies and structures induced by flow.Based on the nucleation barrier under flow,we analyze at which condition precursor may occur and how flow affects the competition among different crystal forms such as orthorhombic and hexagonal phases of polyethylene.According to the uFIC model,the different crystal morphologies and structures in the flow-temperature space have been clarified,which give a good agreement with experiments of FIC.     

无限长氢链极化率的从头算研究

在RHF／6-31G水平用CPHF方法计算了两种构型的氢链的轴向极化率,计算直到89个结构单元,已基本上达到每单元极化率的极限值。根据这些较完整的资料,讨论了拟合目标函数的选取,拟合函数的确定,以及如何选定拟合数据范围以求得最佳极限值的问题,提出了求得最可信的每单元极化率极限值的原则。     

韧性聚合物材料断面分维与断裂韧性

韧性聚合物材料断面分维与断裂韧性吕素平，漆宗能（中国科学院化学研究所工程塑料国家重点实验室，北京，１０００８０）关键词分维，断裂韧性，聚合物，微裂纹，剪切带利用分形几何定量描述材料断面的粗糙特征［１－４］为建立断面形貌与材料韧性间的定量关系提供了可能...     

Principles of rapid polymerase chain reactions: mathematical modeling and experimental verification

Polymerase chain reaction (PCR) is an important diagnostic tool for the amplification of DNA. The PCR process can be treated as a problem in biochemical engineering. This study focuses on the development of a mathematical model of the polymerase chain reaction. The PCR process consists of three steps: denaturation of target DNA, annealing of sequence-specific oligonucleotide primers and the enzyme-catalyzed elongation of the annealed complex (primer:DNA:polymerase). The denaturation step separates the double strands of DNA; this model assumes denaturation is complete. The annealing step describes the formation of a primer-fragment complex followed by the attachment of the polymerase to form a ternary complex. This step is complicated by competitive annealing between primers and incomplete fragments including primer-primer reactions. The elongation step is modeled by a stochastic method. Species that compete during the elongation step are deoxynucleotide triphosphates dCTP, dATP, dTTP, dGTP, dUTP, and pyrophosphate. Thermal deamination of dCTP to form dUTP is included in the model. The probability for a species to arrive at the active site is based on its molar fraction. The number of random insertion events depends on the average processing speed of the polymerase and the elongation time of the simulation. The numerical stochastic experiment is repeated a sufficient number of times to construct a probability density distribution (PDF). The moment of the PDF and the annealing step products provide the product distribution at the end of the elongation step. The overall yield is compared to six experimental values of the yield. In all cases the comparisons are very good.     

阴离子嵌段共聚的交联聚苯乙烯的网络链长多分散性与网络结构非均一性

用链长分布不同的活性聚苯乙烯子聚物与二乙烯基苯进行阴离子嵌段共聚,合成了一系列两相模型交联网络。以作者等提出的方法测定了所合成网络的结构非均一因子Z。实验测定的网络结构非均一因子Z与交联前聚苯乙烯活性链的分子量分布宽度指数d之间有平行的相应变化规律,表明所给予的非均一因子Z的物理意义是合理的。同时说明,子聚物链长分布较宽时,在网络的高交联区中除了二乙烯基苯外,还有一些对溶胀无贡献的子聚物以悬挂链的形式存在。