Structural Interpretations of Static Light Scattering Patterns of Fractal Aggregates

A method based on static light scattering by fractal aggregates is introduced to extract structural information. In this study, we determine the scattered intensity by a fractal aggregate calculating the Structure and the Form factors noted, respectively, S(q) and F(q). We use the approximation of the mean field Mie scattering by fractal aggregates (R. Botet, P. Rannou, and M. Cabane, appl. opt. 36, 8791, 1997). This approximation is validated by a comparison of the scattering and extinction cross sections values calculated using, on the one hand, Mie theory with a mean optical index n) and, on the other hand, the mean field approximation. Scattering and extinction cross sections values differ by about 5%. We show that the mean environment of primary scatterers characterized by the optical index n(s) must be taken into account to interpret accurately the scattering pattern from fractal aggregates. Numerical simulations were done to evaluate the influence of the fractal dimension values (D(f)>2) and of the radius of gyration or the number of primary particles within the aggregates (N=50 to 250) on the scatterers' mean optical contrast (n(s)/n). This last parameter plays a major role in determining the Form factor F(q) which corresponds to the primary particles' scattering. In associating the mean optical index (n) to structural characteristics, this work provides a theoretical framework to be used to provide additional structural information from the scattering pattern of a fractal aggregate (cf. Part II). Copyright 2000 Academic Press.     

Calibration of Polarization-Sensitive and Dual-Angle Laser Light Scattering Methods Using Standard Latex Particles

A polarization-sensitive laser light scattering (PSLLS) method and a dual-angle laser light scattering (DALLS) method have been studied for in situ measurement of submicrometer hydrosol and aerosol particles. By using standard monodisperse polystyrene latex particles suspended in water and air as test particles, calibration of systems built based on the above methods have been performed. The effects of light scattered by agglomerated aerosol particles (multiplets) were corrected by considering the fraction of multiplets as determined with an aerosol measurement technique using a differential mobility analyzer. The change in the measured intensities of scattered light with particle diameter was then determined by calculations based on Mie theory. It was shown that the PSLLS system can determine particle diameters as small as approximately 60 nm for the test hydrosol particles and approximately 100 nm for test aerosol particles, respectively. The DALLS system can determine smaller diameters than the PSLLS system for test particles with no light absorption. The change in scattered light intensities with particle diameter was also investigated by theoretical calculations with various refractive indexes and scattering angles. The PSLLS and DALLS systems promise to become routine measurement tools for absorbing and nonabsorbing particles, respectively. Copyright 2001 Academic Press.     

Polymeric Nanoparticles Stabilized by Surfactants Investigated by Light Scattering,Small-Angle Neutron Scattering,and Cryo-TEM Methods

We have investigated self-organization of polymers with surfactants through solvent shifting process resulting in formation of stable and uniform nanoparticles. We studied polymeric nanoparticles made of poly(methylmethacrylate) and of polystyrene dispersed in water. The dispersion was prepared by a fast mixing of a solution of the polymers with a solution of several ionic and nonionic surfactants in pure water. We observed the formation of well defined nanoparticles by light scattering, small-angle neutron scattering (SANS), and cryogenic transmission electron microscopy (Cryo-TEM) methods. The study shows how nanoparticle properties are changed by the chemical composition of surfactants, molar mass of polymers, concentrations of both components and finally, by variations in method of nanoparticles preparation. Dynamic light scattering (DLS) and static light scattering (SLS) provide the hydrodynamic radii and radii of gyration for selected types of nanoparticles. Cryo-TEM experiments prove that the nanoparticles have good spherical shape. Analysis of SANS data and Cryo-TEM micrographs suggest that the prepared particles are composed of polymer and surfactant that are evenly distributed.     

凝胶化反应中标度行为及凝胶化点关系

在苯乙烯(St)-二乙烯苯(DVB)自由基聚合的凝胶化反应过程中,定时取样,得到凝胶化点前后及直至反应终点的一系列溶胶样品,利用光散射技术研究了溶胶相的重均分子量M_w、尺寸均方旋转半径R_g的变化过程,建立了M_w、R_g和反应时间t的标度关系,并在此基础上提出一神新的准确求取凝胶化时间t_gel的方法.     

Light Scattering Study of Turbid Heat-Set Globular Protein Gels Using Cross-Correlation Dynamic Light Scattering

The structure factor of aqueous solutions of the globular protein β-lactoglobulin was determined as a function of heating time at 76°C. We show how the effect of multiple scattering on the scattered light intensity can be effectively corrected using cross-correlation dynamic light scattering even if the transmission is only 1%. The structure factor of aggregated and gelled proteins can be described by the Ornstein–Zernike equation. The system is characterized by a correlation length that increases with heating time and stabilizes some time after the gel is formed. The correlation length of the protein gels decreases with decreasing concentration. Measurements after progressive dilution of a sample close to the gel point showed that the protein aggregates are initially interpenetrated and disinterpenetrate upon dilution.     

分形表面粗糙度与光散射关系的研究

用Weielstxass－Mandelbrot函数产生了一维的分形表面，在几何光学适用的范围内研究了这些表面的光散射特性．发现分形线数D越大，通常被认为越粗糙的表面，其光散射的角分布反而比D小的表面更集中．文章最后解释了这种现象的成因．     

小角X射线散射研究乳胶分散液的微观结构

采用同步辐射小角X射线散射（SAXS）技术观察了2种不同乳胶体系的微观结构以及将其混合对结晶行为的影响。 结果表明,体积分数为50%的苯乙烯-丙烯酸丁酯共聚物乳胶液在室温下没有结晶。 通过对散射强度曲线的拟合,乳胶粒子的平均半径是76 nm,小于动态光散射的测量值（80 nm）。 然而,50%的苯乙烯-丁二烯共聚物乳胶液发生了结晶。 利用面心立方（fcc）结构和晶格常数为212 nm的晶格衍射进行拟合,发现散射曲线中的所有Bragg衍射峰均对应1个或多个晶面指数。 将2种乳胶液混合后各个衍射峰仍能分辨出来,这说明原始乳液中的部分微晶在混合过程中仍然稳定存在。     

动态光散射研究盐对Gemini表面活性剂网状聚集体的影响

以动态光散射为主要手段研究了盐对羧酸盐Gemini表面活性剂O,O′-双(2-月桂酸钠)-p-二苯氧(记为C12φ2C12)自组织的影响.结果表明盐的加入很容易使C12φ2C12的网状聚集体转变为小(流体力学半径Rh,app约几纳米)和大(Rh,app100 nm)两种尺寸共存的聚集体,1,6-二苯基-1,3,5-己三烯(DPH)探针增溶实验证实小尺寸聚集体为核-壳结构的似球胶束,流变学测量说明大尺寸聚集体可能已经是线型的核-壳胶束.这种行为被归结为初始的网状聚集体不稳定,添加的反离子与C12φ2C12头基结合破坏了网状结构的亲水亲油平衡,促使了它们的转变.盐效应规律表现为MgCl2NaCl、Bu4NBrMe4NBrEt4NBrPr4NBr,这里Bu4NBr不遵循上述静电力顺序的原因是它提供了携带的丁基与C12φ2C12烷烃链疏水相互作用的附加力.     

Osmotic Pressure, Small-Angle X-Ray, and Dynamic Light Scattering Studies of Human Serum Albumin in Aqueous Solutions

Osmotic pressure measurements of human serum albumin (HSA) dissolved in water and in 0.01, 0.1, and 1.0 M phosphate buffer are reported as a function of the protein concentration. Two different forms of the protein were studied: defatted HSA (HSA1) and HSA with fatty acids (HSA2). The measured values of the osmotic coefficient were well below 1, indicating large deviations from ideality even for dilute protein solutions. The measured values increased with increasing HSA concentration and the increase was a function of pH. For higher concentrations of added phosphate buffer, the pH of solution had less influence on the measured osmotic pressure. The osmotic pressure of HSA1 in water was found to be considerably lower than that of the HSA2 modification. This effect was ascribed to formation of dimers in the HSA1 solution. The osmotic measurements were complemented by the small-angle X-ray scattering (SAXS) and dynamic light scattering (DLS) studies of dilute HSA solutions in water. The SAXS and DLS data confirmed the dimerization of HSA1 molecules under these conditions. Detailed analysis of the SAXS data suggested a parallel orientation of two protein molecules in a dimer. Copyright 2001 Academic Press.     

Small-Angle Neutron Scattering Studies of Polymers: Selected Aspects

Small-angle neutron scattering (SANS) studies of polymers are no longer a rarity in polymer science. It is now widely appreciated that SANS can provide unique data which provide greater insight into polymer structural properties than otherwise obtainable. Nonetheless, the costs of the apparatus and special efforts that have to be taken to prepare necessary deuterated polymers mean that such experiments have to be designed with care to ensure that unambiguous data are obtained. There are now in existence several reviews on various aspects [1–4] of SANS studies of polymers; attention in this review is focused on multiphase polymer systems. However, newer aspects of SANS studies on homopolymers will also be discussed, and we begin by a necessarily brief survey of the relevant theoretical expressions.     

动态光散射法测量颗粒粒径的溯源性

分别对动态光散射粒径测量仪的入射波长、散射角度、测量池温度进行校准,并对影响测量结果准确性各因素的不确定度分量进行了评价,校准后动态光散射仪的测量结果可溯源至国家计量标准。为消除多重散射、颗粒间相互作用、颗粒粒径分布对动态光散射测量结果的影响,建立了动态光散射测量结果修正方法。其中为消除多重散射及颗粒间相互作用的影响,需采用多浓度测量或线性回归的方法得到特定浓度下的颗粒粒径;为修正颗粒粒径分布对动态光散射测量结果的影响,需先采用SEM方法准确测量颗粒粒径分布,然后根据光强加权动力学平均粒径和数量平均粒径的理论公式,得到二者之间的差异。     

体积排阻色谱和激光光散射对大豆蛋白热诱导聚集体的研究

采用体积排阻色谱(SEC-HPLC)和激光光散射(LLS)研究了不同浓度和离子强度下大豆蛋白热诱导聚集体的分子量分布和粒径分布。在离子强度为0时,SEC-HPLC的结果表明,热处理后的蛋白溶液主要由3部分组成,即聚集体、中间体和未聚集部分。聚集体部分随着浓度增加而逐渐增加;LLS的结果表明:体系有不均一的粒径分布,且浓度增加时体系的平均粒径增加。上述样品在较高离子强度下加热时,SEC-HPLC和LLS的结果都证明溶液中的中间体部分逐渐消失。因此,控制浓度和离子强度可以制备不同性质的大豆蛋白聚集体。     

The Effect of Polydispersity on the Size of Colloidal Particles Determined by the Dynamic Light Scattering

An attempt is made to allow for a sample polydispersity while measuring particle size distribution by the dynamic light scattering. The scattering ability R(r) is calculated for monodisperse samples and samples with rectangular, bell-shaped, and triangular (increasing and decreasing) particle size distributions. It is shown that, when the processing program for the data of light bearing spectroscopy assumes a linear scale of particle sizes, the scattering ability, irrespective of the distribution pattern, is proportional to the sixth power of the particle size for the Rayleigh region and to the second power, for larger particles. However, when the scale of the half-width of the Rayleigh spectrum is linear, the pattern of the curve describing the particle scattering capability substantially changes upon passing from monodisperse to polydisperse samples. This curve can be approximated by a function R r ⁷ in the Rayleigh region and by a function R r ³ in the range of large (as compared with the wavelength) particles.     

Electron Paramagnetic Resonance in Fractal Aggregates of Metal Nanoparticles

Spectra of electron paramagnetic resonance of nanoparticle ensembles are calculated in the self-consistent field approximation. Calculations are performed in the approximation of dipole-dipole interaction where the solution of a problem is reduced to finding the response matrix for particle ensemble. The dependence of EPR spectra on the fractal dimension and structural organization of aggregates is shown.     

不同电解质体系中土壤胶体凝聚动力学的动态光散射研究

利用动态光散射技术研究在不同浓度的KNO3和Mg(NO3)2中土壤胶体颗粒的凝聚过程动力学. 通过分析凝聚过程中光强和有效粒径随时间的变化得到: (1)根据凝聚过程中光强的稳定与否, 可以判断土壤胶体凝聚过程中碰撞的发生是由布朗运动支配还是由重力作用支配; (2)在不同的电解质体系下土壤胶体凝聚表现为快速凝聚特征或不同的慢速凝聚特征, 并且在慢速凝聚中存在一个对重力敏感的电解质浓度; (3)两种电解质作用下的土壤胶体凝聚特征相似, 但对Mg(NO3)2体系浓度变化的敏感性远远大于KNO3体系. 此外, 通过分析凝聚平均速率随电解质浓度的变化, 找到慢速凝聚与快速凝聚的电解质浓度转折点, 即临界絮凝浓度(CFC), 提供了一个实验测定CFC的可能方法.     

Fractal Morphology and Breakage of DLCA and RLCA Aggregates

Latex aggregates, formed in 1 M McIlvaine buffer solution and 0.2 M NaCl solution, have been characterized in terms of aggregate size distribution and fractal morphology. This was achieved using three sizing techniques (image analysis, laser scattering, and electrical sensing) in which size distributions and fractal properties of the aggregates were measured. Estimates of fractal dimensions were made using the two-slope method based on dimensional analysis and the small-angle light scattering method. Aggregate suspensions were prepared using both water and a mixture of heavy water/ water as the solvent. The latter essentially eliminated sedimentation, which was observed after one day of aggregation when water alone was used as a solvent. Latex aggregates formed by diffusion-limited colloid aggregation (DLCA) and reaction-limited colloid aggregation (RLCA) had fractal dimensions close to 1.8 and 2.1, respectively. As observed through image analysis, DLCA aggregates possessed a loose tenuous structure, whereas RLCA aggregates were more compact. Disruption of both DLCA and RLCA aggregates has been investigated in laminar flow and turbulent capillary flow. The shear forces introduced by a laminar shear device with a shear rate up to 1711 s(-1) were unable to bring about aggregate breakup; shearing facilitates aggregate growth in the case of DLCA. However, latex aggregates were significantly disrupted after passage through a turbulent capillary tube at 95209 s(-1). Copyright 2000 Academic Press.