全芳香族共聚酯的结构和其液晶行为研究

本文对不同组成的对苯二甲酸(TPA),对羟基苯甲酸(PHBA),联苯二酚(BP),间苯二甲酸(IPA)共聚酯采用热台偏光显微镜、电子显微镜、X-射线衍射、激光小角散射、差热等技术进行了研究.实验结果表明,在一定的组成范围内共聚酯熔体有很好的液晶性.重点讨论了分子组成、转变行为、液晶性的关系,并对液晶相的形态结构进行了表征.     

含两种不同介晶基团的半刚性共聚酯液晶态的结构研究

用Ｘ－光衍射，偏光显微镜及ＤＳＣ对含两种不同长度介晶基团４，４’－联苯二酚（Ⅰ）和对苯二甲酸二（对羟苯基）酯（Ⅱ）的系列共聚酯的液晶态进行了表征，据其液晶态中两种介晶单元的堆砌方式提出了可能的模型，这种模型很好地解释了液晶态的Ｘ－光衍射分布．     

LPS＇S CRITERION FOR INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

In this paper we derive LPS's criterion for the breakdown of classical solutions to the incompressible nematic liquid crystal flow, a simplified version of Ericksen-Leslie system modeling the hydrodynamic evolution of nematic liquid crystals in R3. We show that if0 T +∞ is the maximal time interval for the unique smooth solution u ∈ C∞([0, T), R3),then |u| + |▽d| /∈ Lq([0, T ], Lp(R3)), where p and q safisfy the Ladyzhenskaya-Prodi-Serrin's condition:3p+2q= 1 and p ∈(3, +∞].     

STABILITY OF EQUILIBRIA OF NEMATIC LIQUID CRYSTALLINE POLYMERS

We provide an analytical study on the stability of equilibria of rigid rodlike nematic liquid crystalline polymers (LCPs) governed by the Smoluchowski equation with the Maier-Saupe intermolecular potential. We simplify the expression of the free energy of an orientational distribution function of rodlike LCP molecules by properly selecting a coordinate system and then investigate its stability with respect to perturbations of orientational probability density. By computing the Hessian matrix explicitly, we are able to prove the hysteresis phenomenon of nematic LCPs: when the normalized polymer concentration b is below a critical value b*(6.7314863965), the only equilibrium state is isotropic and it is stable; when b*< b < 15/2, two anisotropic (prolate) equilibrium states occur together with a stable isotropic equilibrium state. Here the more aligned prolate state is stable whereas the less aligned prolate state is unstable. When b > 15/2, there are three equilibrium states: a stable prolate state, an unstable isotropic state and an unstable oblate state.     

新型含氟液晶—2 4—〔（4-正烷氧基—2，3，5，6—四氟苯基）乙炔基〕苯甲酸苯酚酯的合成和液晶行为研究

研究液晶性能与分子结构之间的关系具有十分重要的意义。本文以1—五氟苯基-2-三甲硅基乙炔为起始原料，合成了4—〔(4-正烷氧基—2，3，5，6—四氟苯基)乙炔基〕苯甲酸苯酚酯一类新型化合物。通过正交偏光显微镜观察研究。发现所得到的化合物是新型的单变向列型液晶。本文亦考察了端基对液晶行为的影响。     

向列型液晶中简并四波混频相位共轭的理论研究

研究向列型液晶中由光致分子重取向引起的简并四波混频光学相位共轭现象,着重讨论液晶薄膜厚度d、探测光与一泵浦光之间的夹角θ_ω以及光的入射面和液晶指向矢之间的夹角β对相位共轭光产生效率的影响.     

热致液晶三元共聚酯酰亚胺的合成与表征

采用直接熔融缩聚方法由１ ,６ － 己撑－ 双（４ － 羟基酞酰亚胺）（ＢＨＰＩ） 、对羟基苯甲酸（ＰＨ ＢＡ） 和对苯二甲酸（ＴＰＡ） 合成一系列三元共聚酯酰亚胺。对聚合物进行示差扫描量热（ＤＳＣ） 、偏光显微镜（ＰＬＭ） 、广角Ｘ－ 射线衍射（ＷＡＸＤ） 等分析表征,结果表明该系列聚合物具有向列型液晶特征。     

磁场作用下向列型液晶中的分子取向短程关联

从分子统计理论的观点研究磁场对向列型液晶的作用。将向列型液晶的格胞理论推广到包含磁场作用的情况。这一理论考虑了分子取向短程关联。向列相序参数对约化温度的依赖关系和每个分子的约化内能对约化温度的依赖关系，与计算机模拟结果符合得相当好。计算了各向同性相最低过冷温度，理论结果与实验值和分子场理论的结果进行了比较。     

芳香-脂肪族共聚酰胺溶致液晶行为的研究

本文对脂肪族二元胺(ADA、NH_2(CH_2)_nNH_2、n=2、6、8、10、12),对苯二胺(PPD)和对苯二甲酰氯(TPC)三元芳香-脂肪族共聚酰胺硫酸溶液的溶致液晶性能进行了研究.利用偏光显微镜、小角和宽角X-光衍射确定了该类共聚酰胺溶致液晶中介相的类型随共聚物中脂肪族二胺链单元含量的变化规律.     

Modulational instability of optically induced nematicon propagation

We report the modulational instability （MI） analysis for the modulation equations governing the propagation of coherent polarized light through a nematic liquid crystal （NLC） slab, in the limit of low light intensity and local material response. The linear stability analysis of the nonlinear plane wave solutions is performed by considering both the wave vectors （k,l） of the basic states and wave vectors （K,L） of the perturbations as free parameters. We compute the MI gain, and the MI gain peak is reduced and the stable bandwidth is widened with the increase of the strength of the applied electric field. Further, we invoke the extended homogeneous balance method and Exp-function method aided with symbolic computation and obtain a series of periodic solitonic humps of nematicon profiles admitting the propagation of laser light in the NLC medium.