分散体系中任意形状的胶粒模型与相互作用能——Ⅱ、不等同球颗粒

鉴于不等同球颗粒在胶体化学中的重要性,所以它一直引起人们在理论上的关注。Hogg、Healy和Fuerstenau(HHF)对Poisson-Boltzmann方程引用Debye-Hückl近似,得出不同平行平板型颗粒在恒电位表面时相互作用能计算公式,进而HHF用Derjaguin法得出不等同球颗粒相互作用能的表达式。虽然HHF的公式仅适用低电位的情况,但它的表达式特别简单,因而一直被广泛使用。Ohshima等(OCHW)对球颗粒做了曲率校正,Barouch等(BM)对Poisson-Boltzmann方程提出二维解法,使不等同球颗粒的相互作用能的计算有了改进和提高。本文根据我们提出的模型和方法,对HHF公式也做了曲率校正,结果表明它和OCHW的曲率校正结果相当,但它的表达式却要简单得多。     

球胶态颗粒在中等电位条件下双电层相互作用能和力

根据有效表面电位的定义,使用改进的Derjaguin法,推导出在中等电位条件下等同和不等同球形胶态颗粒相互作用能和力的近似表达式.与精确的数值解相比,对等同球颗粒,表面电位≤100mV;对不等同球颗粒,表面电位≤75mV;最大相对误差均小于±10%,表明该近似式是目前较好的.     

球型胶粒间的相互作用能—Derjaguin法的改进

对求算球型胶体颗粒相互作用能的Ｄｅｒｊａｇｕｉｎ法进行了适当的修正，并由此得出简单的解析表达式，对低电位条件下等同和不等同球颗粒的计算结果表明，该法拓宽了Ｄｅｒｊａｇｕｉｎ公式的应用范围，提高了计算结果的精确度。     

分子动力学模拟研究[Bmim][PF_6]+水+醇三元体系的微观结构和分子间相互作用(英文)

研究离子液体体系的微观结构和分子间相互作用具有重要意义.本文对1-丁基-3-甲基咪唑六氟磷酸盐([Bmim][PF6])+水+乙醇和[Bmim][PF6]+水+异丙醇三元体系进行了分子模拟研究,计算了径向分布函数和不同组成的水-醇混合溶剂与离子液体阴阳离子间的相互作用能,并将其分解为库仑相互作用能和Lennard-Jones(LJ)势能.在此基础上,研究了溶液体系的微观结构、分子间相互作用和相行为.结果表明,水倾向于与离子液体阴离子和阳离子极性部分作用,醇倾向于与阴离子和阳离子非极性部分作用;库仑力主导阴离子-溶剂相互作用,色散力主导阳离子-溶剂相互作用,阴阳离子的缔合状态对色散力影响较小,对库仑力的影响非常显著.     

分子动力学模拟研究[Bmim][PF6]+水+醇三元体系的微观结构和分子间相互作用

研究离子液体体系的微观结构和分子间相互作用具有重要意义. 本文对1-丁基-3-甲基咪唑六氟磷酸盐([Bmim][PF₆])+水+乙醇和[Bmim][PF₆]+水+异丙醇三元体系进行了分子模拟研究, 计算了径向分布函数和不同组成的水-醇混合溶剂与离子液体阴阳离子间的相互作用能, 并将其分解为库仑相互作用能和Lennard-Jones(LJ)势能. 在此基础上, 研究了溶液体系的微观结构、分子间相互作用和相行为. 结果表明, 水倾向于与离子液体阴离子和阳离子极性部分作用, 醇倾向于与阴离子和阳离子非极性部分作用; 库仑力主导阴离子-溶剂相互作用, 色散力主导阳离子-溶剂相互作用, 阴阳离子的缔合状态对色散力影响较小, 对库仑力的影响非常显著.     

5-甲基水杨醛缩对氨基水杨酸席夫碱的合成、表征及性质

用5-甲基水杨醛和对氨基水杨酸为原料,合成了一种新型席夫碱,用元素分析、IR、1 H NMR、MS验证其结构.采用荧光光谱法研究该化合物与牛血清白蛋白(BSA)的相互作用机制,采用位点结合模型公式、热力学公式求解出不同温度下的结合常数、结合位点数、热力学参数,得出其淬灭机制为静态淬灭,结合位点数为1,作用力类型为氢键和范德华力.     

改进的聚合物溶液理论

在高分子溶液理论中引入Gibbs分布 ,用统计物理学方法重新推导出了聚合物溶液的热力学公式 .将高分子溶液的自由能和熵分三部分进行了计算 ,无热平动部分 ,无热构象部分和构象有热部分 .无热平动自由能和无热构象自由能分别等于Flory Huggins混合自由能公式的前两项 ,构象有热部分引入了Gibbs分布 ,考虑了链段 溶剂分子相互作用对高分子构象的影响 .在分子间的相互作用足够小时 ,又回到了FH公式     

平板型高电位胶粒双电层的相互作用

利用线性迭加法,提出了平行平板型高电位颗粒之间的弱相互作用的近似表达式.结合文献[3]给出的强相互作用表达式,对高电位平行平板型颗粒的相互作用给出了完整的描述,和精确数值解吻合相当好.强弱相互作用的接合点在κh=4,误差在接合点处最大,～10％.根据Derjaguin法和改进的Derjaguin法,求出了高电位球颗粒在恒电位条件下的相互作用能.     

泛函迭代法研究等同平行平板双电层间的相互作用

利用泛函分析理论中的迭代法, 分别计算了等同平行平板双电层在128、77、和25 mV电位下的相互作用能. 并以数值法所得结果为参照, 在各电位下分别与Debye-Huckel(DH)线性近似法、Langmuir 近似法所得的结果进行比较. 结果表明, DH线性近似法和Langmuir近似法均只能分别局限于极低或极高电位, 而泛函迭代法不但有简单的解析表达式, 而且在各种电位下都能得到较满意的结果.     

盐酸鸟嘌呤与牛血清白蛋白的相互作用

应用荧光光谱、紫外-可见分光光度法研究了盐酸鸟嘌呤(GH)与牛血清白蛋白(BSA)的相互作用。结果表明:GH能猝灭BSA的荧光强度,其猝灭机理为静态猝灭。采用位点结合模型公式和热力学公式计算了结合常数、结合位点数及结合类型。用同步荧光技术研究GH对BSA构象的影响。     

Donnan potential and surface potential of a spherical soft particle in an electrolyte solution

A simple numerical method, which does not involve numerical integration of the Poisson-Boltzmann equations, is presented for obtaining the relationship between the Donnan potential and surface potential of a spherical soft particle (i.e., a polyelectrolyte-coated particle) in a symmetrical electrolyte solution. We assume that a soft particle consists of the particle core of radius a covered with an ion-penetrable surface layer of polyelectrolytes of thickness d and that ionized groups of valence Z are distributed at a uniform density of N in the polyelectrolyte layer and the relative permittivity takes the same value in the regions outside and inside the polyelectrolyte layer. The Donnan potential and surface potential are determined by the values of a, d, Z, N, and the Debye-Hückel parameter kappa of the electrolyte solution. Numerical results obtained by the present method are in excellent agreement with exact results obtained by solving the nonlinear spherical Poisson-Boltzmann equations for the both regions inside and outside the polyelectrolyte layer.     

Approximate analytic expressions for the electrophoretic mobility of spherical soft particles

Approximate analytic expressions are derived for the electrophoretic mobility of a weakly charged spherical soft particle consisting of the particle core covered with a surface layer of polymers in an electrolyte solution. The particle core and the surface polymer layer may be charged or uncharged. The obtained electrophoretic mobility expressions, which involve neither numerical integration nor exponential integrals, are found to be in excellent agreement with the exact numerical results. It is also found that the obtained mobility expressions reproduce all the previously derived limiting expressions and approximate analytic expressions for the electrophoretic mobility of a weakly charged spherical soft particle.     

The interaction energy between two parallel plates with constant surface charge density

On the basis of Langmuir's suggestion we simplify the Poisson-Boltzmann equation and derive the relation of surface potential, potential midway, and the plate distance. Thus we obtain the interaction force and energy equations between two dissimilar plates in the case of constant surface charge density. Agreement with the exact numerical values of the interaction of dissimilar plates is good. This method may not only apply to the cases of high constant potential but to the case of high constant charge density.     

The interaction energy between identical particles

The improved Derjaguin’s method is used to derive the approximate expressions for the electrostatic interaction energy between spherical colloidal particles. The approximate results are in good agreement with the exact numerical solutions. The results from the product of the original Derjaguin approximation with curvature correction 2a/R can be used satisfactorily at different αa and κh, no matter high or low the potential of spherical particle is. The text was submitted by the authors in English.     

球型胶体颗粒的表面电位和表面电荷密度的关系

胶体颗粒的表面电荷密度和表面电位之间的关系是颗粒表面的基本性质之一．要确定这个关系,需要解Poisson-Boltzmann(PB)方程,求出颗粒外的电位分布．然而对于球形颗粒,PB方程却没有解析解．Loeb等,求出了数值解,近似解析表达式虽然很多,也比较复杂,     

The Calculation of Surface Potential for Spherical Ionic Micelles

In this article, an approximate expression for the calculation of surface potential for spherical ionic micelles has been presented. This simple analytic form overcomes the complexity of original theory. The calculated values of surface potential of spherical ionic micelles are in quite good agreement with the exact numerical values of nonlinear Poisson‐Boltzmann equation.     

Simple Approximate Expressions for Electrical Double-Layer Interaction at Constant Moderate Potentials

Simple yet accurate expressions for the electrical double-layer interaction force and energy between the particles that hold for a wide range of surface potential is required in the modeling, simulation, and optimization of many processes employed in industry. In this paper, simple approximate expressions for the interaction are obtained based on the asymptotic results and the numerical solution to the Poisson-Boltzmann equation for identical parallel plates with constant surface potential up to 180/z(i) mV at 25 degrees C, and the Derjaguin approximation. Within the moderate surface potential range, the semianalytical expressions agree well with the exact numerical results and are convenient to use for the purpose of process modeling and simulation. Copyright 2000 Academic Press.     

Density functional calculations of surface free energies

We propose a general method of thermodynamic integration to find the free energy of a surface, where our integration parameter is taken to be the strain on the unit cell of the system (which in the example presented in this paper is simply the extension of the unit cell along the normal to the surface), and the integration is performed over the thermal average stress from a molecular dynamics run. In order to open up a vacuum gap in a continuous and reversible manner, an additional control interaction has been introduced. We also use temperature integration to find a linear relation for the temperature dependence of the free surface energy. These methods have been applied to the titanium dioxide (110) surface, using first principles density functional theory. A proof of principle calculation for zero temperature shows excellent agreement between the integral calculation and the difference in energy calculated by the DFT program. Calculations that have been performed at 295 and 1000 K give excellent agreement between the two integration methods.