平行板间超支化聚合物流体的密度分布和溶剂化力

在密度泛函理论(DFT)框架下,应用改进的基本度量理论(MFMT)和统计力学理论结合加权密度近似(WDA)分别表示硬球作用和聚合作用对自由能泛函的贡献,建立了描述ABg型超支化聚合物流体的化学势,得到了聚合物流体在平行板间的密度分布表达式,计算了聚合物流体在两平行板间的密度分布,并探讨了体积分数、反应程度和单体中B类官能团数对体系密度分布的影响.此外,通过体系密度分布,进一步分析了反应程度、板间宽度与溶剂化力的关系.     

基于密度泛函理论研究二元排斥Yukawa流体的表面结构性质

基于自由能密度泛函理论(DFT)考察了二元排斥Yukawa (HCRY)流体在不同外场下的密度分布. 基于微扰理论, 体系的Helmholtz自由能泛函采用硬球排斥部分和长程色散部分贡献之和, 其中Kierlik和Rosinberg的加权密度近似(WDA)被用来计算硬球排斥部分, 而色散部分采用平均场理论(MFT)进行描述. 为了验证DFT计算结果的合理性, 研究中采用巨正则Monte Carlo(GCMC)模拟计算了在不同主体相密度、硬核直径和位能参数比的条件下二元HCRY混合流体的密度分布. 结果表明, 该DFT计算结果与GCMC模拟值吻合良好.     

氢气在碳纳米管内吸附的密度泛函理论研究

本文应用密度泛函理论研究纯流体氢气在单壁碳纳米管内吸附过程,采用硬球状态方程改进的基本测量理论表征硬球的斥力作用,离子吸引项的贡献则用微扰理论描述.在温度为300k,氢气本体对比密度范围为0.2～0.7条件下,计算了三种不同尺寸的碳纳米管氢气吸附的密度分布,其密度泛函计算结果与计算机分子模拟数据完全一致.     

平行硬壁间荷电硬球流体的密度泛函理论研究

基于经典流体的密度泛函理论并结合改进的基本度量理论, 研究了受限于平行硬壁间的荷电硬球流体的平衡密度分布. 通过对比有、无外电场时分子数密度分布的相应变化情况, 分析了荷电硬球分子间的库仑排斥势能与场致势能间的竞争作用, 研究了电场对于受限荷电硬球流体系统聚集态结构的影响.     

一个新的桥泛函及其在非均一流体密度泛函理论中的应用

基于对OZ 方程的渐近行为与Taylor级数展开的分析，提出了一个新的桥泛函，桥泛函被表达为间接相关函数的函数，Taylor级数展开的重整化导致了一个可调参数，通过将所提出的桥泛函与一个最近提出的密度泛函理论方法学，以及单个硬墙的sum 规则结合，可以确定可调参数.所提出的桥泛函能预言如下非均一流体的密度分布：硬球流体接近一个硬墙与在球形空隙内，Lennard-Jones 流体与缔合硬球流体在两个硬墙之内.理论预言与文献所报导的模拟数据符合很好.     

聚合物链长及表面吸附强度对三维受限下嵌段共聚物微观相分离的影响

利用动态密度泛函(Dynamic density functional theory, DDFT)方法研究了三维受限下嵌段共聚物的微观相分离, 讨论了共聚物链长和表面吸附强度对微观相形成与取向的影响. 体系中随机分布的等径微球提供三维限制结构, 体积分数为0.6. 增加微球的半径和体积分数, 能够使其从破坏微相规整结构的纳米掺杂过渡到提供三维限制结构. 调整嵌段共聚物与微球表面的相互作用对微相形成与取向有重要影响.     

受限于纳米狭缝中的四缔合Lennard-Lones流体的相平衡和界面张力研究

分别用改进的基础测量理论和平均球近似理论表达短程作用和长程作用对四缔合Lennard-Jones流体的过剩自由能的贡献. 在密度函泛理论的框架下, 研究了平均密度等温线, 密度分布, 未缔合分子在平衡汽相和液相中的分布, 相平衡以及平衡时的界面张力等热力学性质. 分析了缔合能量, 流体-固体作用和孔宽对受限于纳米狭缝中的四缔合Lennard-Jones流体相行为的影响.     

约束条件下的硬球流体

利用密度泛函理论和分子动力学方法,对处于两平行硬墙之间的硬球流体的密度分布进行了计算通过比较两种方法的结果,发现在墙之间距离较大时,Rosenfeld密度泛函理论的结果与分子动力学模拟的结果符合很好;当两堵墙间的距离很小时,这两个结果之间存在明显的不一致.另外,还研究了约束条件下密度分布的结构.     

球腔中氢键流体的吸附-解吸附转变:表面调控研究

集中讨论了球形微腔表面对腔中氢键流体相态结构的调控机制. 为了揭示微腔表面对腔中氢键流体相平衡的影响, 首先根据吸附-解吸附原理并利用经典流体的密度泛函理论计算了微腔中氢键流体的平衡密度分布, 进而通过吸附-解吸附等温线及巨势等温线绘制出体系的相图. 在此基础上, 重点考察了球腔尺寸、 表面作用强度和作用力程对氢键流体毛细凝聚及层化转变的影响. 结果表明, 这些因素可以有效地调控体系毛细凝聚和层化转变的临界约化温度、 临界密度和相区大小等特征, 从而阐明了表面调控的主要机制. 研究结果为设计相关吸附材料提供了理论参考.     

高Fe3O4含量微米尺寸磁性复合微球的合成及其在化学发光免疫检测中应用初探

采用种子乳液聚合方法制得了微米尺度的高磁性物质含量的磁性复合微球.聚合体系中,以0.7～0.8 μm的Fe3O4磁性聚集体细乳液作为种子,将苯乙烯,二乙烯基苯作为聚合单体加入到磁性聚集体细乳液中,对Fe3O4磁性聚集体进行溶胀后进行聚合.研究了聚合过程中,溶胀时间对复合微球形貌和磁性物质含量的影响,获得系列形貌微球.通过透射电镜(TEM)、热重分析(TGA)、红外分析(FTIR)、振动样品磁强计(VSM)等表征手段对所制备的磁性聚合物微球进行分析表征.结果显示,所得到的磁性聚合物微球粒度为0.7～1 μm,尺寸分布较均一,具有超顺磁性,磁性物质含量为29 wt%～57 wt%.然后又通过丙烯酸和苯乙烯共聚对微球表面羧基功能化后,得到了表面羧基密度为0.92 mmol/g的微球,再将所制备的微球与生物分子偶联后(以hCG作为模式待检分子),在化学发光免疫检测上进行了初步的应用,取得到了较好的应用结果.     

Startup of electrophoresis in a suspension of colloidal spheres

The transient electrophoretic response of a homogeneous suspension of spherical particles to the step application of an electric field is analyzed. The electric double layer encompassing each particle is assumed to be thin but finite, and the effect of dynamic electroosmosis within it is incorporated. The momentum equation for the fluid outside the double layers is solved through the use of a unit cell model. Closed‐form formulas for the time‐evolving electrophoretic and settling velocities of the particles in the Laplace transform are obtained in terms of the electrokinetic radius, relative mass density, and volume fraction of the particles. The time scale for the development of electrophoresis and sedimentation is significantly smaller for a suspension with a higher particle volume fraction or a smaller particle‐to‐fluid density ratio, and the electrophoretic mobility at any instant increases with an increase in the electrokinetic particle radius. The transient electrophoretic mobility is a decreasing function of the particle volume fraction if the particle‐to‐fluid density ratio is relatively small, but it may increase with an increase in the particle volume fraction if this density ratio is relatively large. The particle interaction effect in a suspension on the transient electrophoresis is much weaker than that on the transient sedimentation of the particles.     

双嵌段共聚物混合体系形态结构及相变研究

用自洽平均场理论(SCMFT)研究了由两种不同双嵌段共聚物(diblock copolymer)组成的混合体系在纳米尺度下的自组装行为.有较高聚合度的纯diblock1熔体呈层状有序结构;有较低聚合度的纯diblock2熔体呈均匀(无序)相.SCMFT研究表明,在二者的混合体系中,当diblock1的体积分数在0·7~1·0之间时,混合体系呈现层状结构;而当diblock1的体积分数在0·4~0·6之间时,体系呈现六角排布的柱状结构.这一理论研究结论与近期报道的实验结果有较好的吻合.同时,通过混合体系单体密度分布曲线和嵌段的连接点分布曲线,从理论上分析了混合体系中单体分布的细节.     

Effect of solvent quality on the dispersibility of polymer-grafted spherical nanoparticles in polymer solutions

In this work, lattice-based self consistent field theory is used to study the structural properties of individual polymer-grafted spherical nanopartices and particle-particle interactions in polymer melts and solutions under variable solvent conditions. Our study has focused on the depth of the minimum in the potential of mean force between the two brush-coated nanoparticles, if such a minimum occurs, and we have also addressed the corresponding radial density profiles of free and grafted chains around a single nanoparticle, in an attempt to clarify the extent of correlation between the depth of the minimum, W(min), and the parameter δ characterizing the interpenetration between the profiles of free and grafted chains. Although one cannot establish a simple one-to-one correspondence between W(min) and δ, we do find common trends, in particular, if the solvent conditions for free and grafted chains differ: varying the volume fraction of the free chains, δ typically exhibits a broad minimum, corresponding to a region where the magnitude of W(min) exceeds thermal energy k(B)T, leading to particle aggregation.     

Monomer density profiles for polymer chains in confined geometries: massive field theory approach

Taking into account the well known correspondence between the field theoretical ?(4) O(n)-vector model in the limit n → 0 and the behavior of long flexible polymer chains in a good solvent, the universal density-force relation is analyzed and the corresponding universal amplitude ratio B(real) is obtained using the massive field theory approach in fixed space dimensions d < 4. The monomer density profiles of ideal chains and real polymer chains with excluded volume interaction in a good solvent between two parallel repulsive walls, one repulsive and one inert wall, are obtained in the framework of the massive field theory approach up to one-loop order. Besides, the monomer density profiles for the dilute polymer solution confined in semi-infinite space containing mesoscopic spherical particle of big radius are calculated. The obtained results are in qualitative agreement with previous theoretical investigations and with the results of Monte Carlo simulations.     

Dynamic Electrophoretic Mobility of a Soft Particle

A theory of the dynamic electrophoretic mobility of a spherical soft particle (that is, a polyelectrolyte-coated spherical particle) in an oscillating electric field is presented. In the absence of the polyelectrolyte layer a spherical soft particle becomes a spherical hard particle, while in the absence of the particle core it tends to a spherical polyelectrolyte. The present theory thus covers two extreme cases, that is, dynamic electrophoresis of hard particles and that of spherical polyelectrolytes. Simple analytic mobility expressions are derived. It is shown how the dynamic electrophoretic mobility of a soft particle depends on the volume charge density distributed in the polyelectrolyte layer, on the frictional coefficient characterizing the frictional forces exerted by the polymer segments on the liquid flow in the polyelectrolyte layer, on the particle size, and on the frequency of the applied oscillating electric field. Copyright 2001 Academic Press.     

Density-functional theory of spherical electric double layers and zeta potentials of colloidal particles in restricted-primitive-model electrolyte solutions

A density-functional theory is proposed to describe the density profiles of small ions around an isolated colloidal particle in the framework of the restricted primitive model where the small ions have uniform size and the solvent is represented by a dielectric continuum. The excess Helmholtz energy functional is derived from a modified fundamental measure theory for the hard-sphere repulsion and a quadratic functional Taylor expansion for the electrostatic interactions. The theoretical predictions are in good agreement with the results from Monte Carlo simulations and from previous investigations using integral-equation theory for the ionic density profiles and the zeta potentials of spherical particles at a variety of solution conditions. Like the integral-equation approaches, the density-functional theory is able to capture the oscillatory density profiles of small ions and the charge inversion (overcharging) phenomena for particles with elevated charge density. In particular, our density-functional theory predicts the formation of a second counterion layer near the surface of highly charged spherical particle. Conversely, the nonlinear Poisson-Boltzmann theory and its variations are unable to represent the oscillatory behavior of small ion distributions and charge inversion. Finally, our density-functional theory predicts charge inversion even in a 1:1 electrolyte solution as long as the salt concentration is sufficiently high.     

Interfacial colloidal sedimentation equilibrium. II. Closure-based density functional theory

In Part I [R. E. Beckham and M. A. Bevan, J. Chem. Phys. 127, 164708 (2007)], results were presented for the sedimentation equilibrium of concentrated colloidal dispersions using confocal scanning laser microscopy experiments, Monte Carlo (MC) simulations, and a local density approximation perturbation theory. In this paper, we extended the modeling effort on those systems to include nonlocal density functional theory (DFT), which is capable of predicting the microstructure of the sediment at length scales comparable to the colloidal particle dimension. Specifically, we use a closure-based DFT formulation to predict interfacial colloidal sedimentation equilibrium density profiles. The colloid-colloid and colloid-surface interactions were modeled with DLVO screened electrostatic potentials using parameters taken directly from the experimental work. The DFT profiles were compared to the experimental and MC results from Part I. Good agreement was found for relatively dilute interfacial colloidal fluids, but agreement was less satisfactory as interfacial layering became more pronounced for conditions approaching the onset of interfacial crystallization. We also applied DFT in an inverse sense using the measured colloid density profile to extract the underlying colloid-surface potential; this can be thought of as a microscopic analog to the well-known procedure of using the macroscopic (coarse-grained) density profile to extract the osmotic equation of state. For the dilute interfacial fluid, the inverse DFT calculations reproduced the true colloid-surface potential to within 0.5kT at all elevations.