球状纳米系统高能级斯塔克效应和谱

以三层CdS/HgS/CdS球状纳米系统为例,研究了在电场和层间作用下球状纳米系统高能级斯塔克效应的能级分裂规律以及谱线的频率、强度和自发幅射系数的线度效应. 结果表明,系统的斯塔克效应在只有电场时,能级是按1,3,…,(2n—1)的规律进行分裂,与氢原子类似;有电场和层间同时作用时,能级是按1,4,…,n²的规律进行分裂. 量子跃迁时各谱线的频率均随系统线度增大而减小,除少数谱线外,多数谱线的强度随线度增大而减小,而自发幅射系数随线度增大而增大;电场会引起谱线的频率发生改变,其谱线频移量与电场强度的平方成正比;除少数谱线外,电场和层间作用引起的谱线频移量均随线度增大而减小;层间作用会使电子的能级稍有降低,稍微增大谱线的强度和自发幅射系数值,但它不会影响谱线的频率、强度和自发幅射系数随线度的变化趋势,在线度较小时层间作用的影响才显著.     

Improved asymptotic analysis of the average number of steps performed by the self-dual simplex algorithm

In this paper we analyze the average number of steps performed by the self-dual simplex algorithm for linear programming, under the probabilistic model of spherical symmetry. The model was proposed by Smale. Consider a problem ofn variables withm constraints. Smale established that for every number of constraintsm, there is a constantc(m) such that the number of pivot steps of the self-dual algorithm,(m, n), is less thanc(m)(lnn) ^m(m+1) . We improve upon this estimate by showing that(m, n) is bounded by a function ofm only. The symmetry of the function inm andn implies that(m, n) is in fact bounded by a function of the smaller ofm andn. Parts of this research were done while the author was visiting Stanford University, XEROX- PARC, Carnegie-Mellon University and Northwestern University and was supported in part by the National Science Foundation under Grants MCS-8300984, ECS-8218181 and ECS-8121741.     

The spherical limit forn-vector correlations

We investigate then limit of then-vector model single-spin and pairspin correlation functions. In this limit we show that the correlation functions become those of the corresponding spherical model.     

An intermediate spherical model of a ferromagnet

A one-parameter family of partition functions is considered which for zero value of the parameter reduces to the spherical model of a ferromagnet. The model for > 0 is closer to the usual discrete lattice spin model of a ferromagnet than is the spherical model. The first four terms in of the limiting value of the partition function are calculated above and below the critical temperature for arbitrary interactions using the saddle point method to calculate certain correlation functions for the spherical model. These calculations indicate that the critical temperature is independent of for small and certain interactions.Part of this research appeared in the author's doctoral thesis.⁽³⁾     

壬基酚聚氧乙烯醚型Gemini季铵盐表面活性剂的合成 及其表面性质的研究

合成了系列壬基酚聚氧乙烯醚型Gemini季铵盐表面活性剂(GNPQA), 用核磁、红外和元素分析对它们的结构进行了表征, 考察了反应条件对转化率的影响, 并用表面张力法和稳态荧光探针法对GNPQA的表面性能及胶束聚集数(N)进行了研究. 结果表明, 较优的反应条件: 反应时间为12 h, 反应温度为70 ℃, 反应原料摩尔比为n(双聚壬基酚聚氧乙烯醚)∶n(三乙胺)∶n(环氧氯丙烷)＝1∶1∶1; GNPQA的临界胶束浓度(CMC)值较相应的单体壬基酚聚氧乙烯醚型季铵盐表面活性剂(NPQA)降低了1～2个数量级, 显示了较高的表面活性; 当GNPQA溶液浓度为5～9倍CMC时, N值随浓度增大而线性增大; 随着氧乙烯(EO)单元数的增长, GNPQA的CMC和N值均逐渐减小; 结合GNPQA的表面性能参数和N值的变化规律, 探讨了这类表面活性剂表面及胶束聚集体的结构形态.     

Dynamic Behavior of Surfactants in Solution

Adsorption of various surfactants at the gas liquid interface is studied with equilibrium and dynamic surface tension measurements. The Wilhelmey plate method and maximum bubble pressure method are used for this study. Dynamic surface tension of solutions of different surfactants, sodium lauryl sulfate (SLS), polyoxyethylene glycol 4‐tert‐octyl phenyl ether (Triton X 100), poly‐oxyethylene(20) cetyl ether (Brij 58), and tetraethylene glycol mono‐n‐dodecyl ether (Brij 30), is measured at different concentrations. Adsorption of different surfactants is compared on the basis of equilibrium and dynamic behavior. Effectiveness and efficiency of different surfactants is found from equilibrium surface tension measurement. A new parameter is defined to quantify the dynamic behavior of adsorption, which gives the concentration of surfactant needed to reduce surface tension to half of its maximum reduction within a defined time available for adsorption. The dynamics of surfactant solution is quantified by using this parameter.     

Optimization of Biocompatibility for a Hydrophilic Biological Molecule Encapsulation System

Despite considerable advances in recent years, challenges in delivery and storage of biological drugs persist and may delay or prohibit their clinical application. Though nanoparticle-based approaches for small molecule drug encapsulation are mature, encapsulation of proteins remains problematic due to destabilization of the protein. Reverse micelles composed of decylmonoacyl glycerol (10MAG) and lauryldimethylamino-N-oxide (LDAO) in low-viscosity alkanes have been shown to preserve the structure and stability of a wide range of biological macromolecules. Here, we present a first step on developing this system as a future platform for storage and delivery of biological drugs by replacing the non-biocompatible alkane solvent with solvents currently used in small molecule delivery systems. Using a novel screening approach, we performed a comprehensive evaluation of the 10MAG/LDAO system using two preparation methods across seven biocompatible solvents with analysis of toxicity and encapsulation efficiency for each solvent. By using an inexpensive hydrophilic small molecule to test a wide range of conditions, we identify optimal solvent properties for further development. We validate the predictions from this screen with preliminary protein encapsulation tests. The insight provided lays the foundation for further development of this system toward long-term room-temperature storage of biologics or toward water-in-oil-in-water biologic delivery systems.     

单链和gemini表面活性剂的NMR研究

应用核磁共振技术,对几种典型的表面活性剂在水溶液中的聚集行为、结构特征、动力学特性和相互作用等进行了研究. 
利用1D ¹H NMR方法测得4-癸基萘磺酸钠（SDNS）在313 K温度时的临界胶束浓度（CMC）在0.82~0.92 mmol/L之间,与报道的298 K时的CMC范围相同. 弛豫时间和2D NOESY实验结果表明,与298 K时的SDNS胶束相比,313 K温度时,SDNS胶束中烷烃链排列得更紧密,其中与萘环相连的第一和第二个亚甲基参与了胶束紧密层的形成,更紧密地堆积在萘环之间. SDNS质子T₂值随温度的变化表明,在单体和胶束两种状态下,质子运动对温度的敏感性明显不同. 由自扩散系数分析得到,SDNS胶束的水合半径约为其单体水合半径的5.3倍. 而在十二烷基磺酸钠（SDSN）胶束中,由于静电排斥力的作用,在同样温度下SDSN的胶束紧密层排列比SDNS更疏松. 
NMR实验表明,在SDNS/Triton X-100 (TX-100)和SDNS/SDSN体系中形成了混合胶束. 在SDNS/TX-100混合胶束中,TX-100的苯环靠近SDNS的烷烃链,而它的聚烷氧链除与苯环相连的第一个乙氧基基团以外都被限制在SDNS的萘环附近. 在SDNS/SDSN混合胶束中,SDSN的磺酸基比SDNS分子更靠近胶束内部. 而SDNS的萘环将SDSN的磺酸基分隔开,在降低带负电荷的磺酸基极性头之间的静电排斥力中起到了积极的作用,有助于混合胶束的形成.
从自扩散系数、横向弛豫和质子距离等NMR测定参数推测,在浓度为0.26 mmol/L（318 K）的N,N′-双(十六烷基二甲基)-α,ω-丙烷溴化铵(16-3-16)溶液中形成了近似球形的胶束,胶束表面的带正电荷的铵基极性头呈锯齿状排列以减弱分子间静电排斥力的影响. 弛豫时间测定表明,与N,N′-双(十六烷基二甲基)-α,ω-丁烷溴化铵(16-4-16)相比,16-3-16在胶束表面的spacer链段更僵硬, 在胶束核区的烷烃侧链排列的更紧密. NMR共振峰的线形分析表明,16-3-16和16-4-16侧链末端的甲基在胶束中位于两个不同的位置.      

Interactions of Nile Blue with Micelles, Reverse Micelles and a Genomic DNA

In this contribution we report studies on the nature of binding of a small ligand/drug Nile blue (NB) with sodium dodecyl sulfate (SDS) micelles, bis-(2-ethylehexyl) sulfosuccinate (AOT)/isooctane reverse micelles (RM) and a genomic DNA extracted from Salmon sperm. With detailed steady state and picosecond resolved optical spectroscopic techniques, we examined the fluorescence quenching of the ligand upon complexation with the SDS monomers and DNA. Polarization analyzed picosecond-resolved fluorescence measurements reveal geometrical restriction on the probe in SDS micelles, AOT-RM and DNA. Steady state and time resolved studies on the probe in nanocages of AOT RM with various degrees of hydration (w₀) reveal the existence of NB as two distinct species namely, neutral and cationic. This study confirms that the emission of NB in aqueous micelles and DNA solution is due to the cationic form of the drug. Our experiments clearly identified non-specific electrostatic and intercalative modes of interaction of the probe with the DNA at lower and higher DNA concentrations respectively. The nature of binding of NB in presence of the DNA and SDS micelles reveals that the binding affinity of the probe is higher with the micelles than with the DNA. The complex rigidity of NB with DNA and its fluorescence quenching with DNA elucidate a strong recognition mechanism between NB and DNA.     

Morphology of Polystyrene Core–dPoly(ethylene oxide) Shell Arborescent Copolymer Micelles from Small-Angle Neutron Scattering Analysis

Arborescent (dendrigraft) copolymers with a branched polystyrene (PS) core grafted at the chain termini with deuterated poly(ethylene oxide) segments (PS-dPEO) were characterized in benzene and acetone by small-angle neutron scattering measurements using the contrast matching technique. While copolymers incorporating a G1 (twice-grafted) PS core aggregated to some extent, the portion of the scattering curve corresponding to non-aggregated copolymer molecules could still be analyzed to determine the shape and segment radial density profile for core and shell. These were derived from the pair distance distribution function P(r) and the scattering length density contrast profile Δρ(r) = ρ(r) ? ρ(solvent), obtained by the indirect Fourier transformation and deconvolution methods. The profiles obtained for the G1 copolymer are consistent with a well-defined PS core–dPEO shell morphology, only observed previously for upper generation (G4) polymers with deuterated PS (dPS) chains grafted randomly on arborescent PS substrates. Detailed morphological analysis could not be carried out for an analogous G3 arborescent PS copolymer terminally grafted with dPEO segments due to extensive aggregation in both solvents.