School of Chemical Engineering, Purdue University, 480 Stadium Mall Drive, West Lafayette, Indiana 47907-2100, USA.
Langmuir. 2010 May 18;26(10):6995-7006. doi: 10.1021/la904224g.
The dispersion stability and the zeta potentials of nonspherical crystalline (beta-form) copper phthalocyanine (CuPc) particles of hydrodynamic diameter d(h) approximately = 90 nm were investigated at 25 degrees C in water and in aqueous solutions of NaNO(3). The electrolyte concentrations c ranged from 1 to 500 mM and the particle concentrations ranged from 50 to 10,000 ppm (0.005 to 1 wt %). In each case, the Fuchs-Smoluchowski stability ratio W was determined from dynamic light scattering (DLS) data and the Rayleigh-Debye-Gans (RDG) scattering theory. The data suggest that electrostatic effects play a major role in the stability of CuPc-based dispersions. The calculated particle charge z per CuPc particle based on the zeta potential data and the area of the particles (assumed to be cubical) suggests that there is preferential adsorption of NO(3)(-) ions on the uncharged CuPc surface, and the surface charge increases with increasing electrolyte concentration. Furthermore, two new models of the DLVO theory, for spheres and for parallel face-to-face cubes, were reformulated in dimensionless form. The Hamaker constant of CuPc particles was calculated by the same authors on the basis of theoretical models in J. Chem. Theory Comput. (2010, in press). The key dimensionless group is the ratio N of the electrostatic double layer energy to the Hamaker constant. The two DLVO models were used to predict the value of a dimensionless maximum potential energy Phi(max), the conditions when it may exist, and then the value of W. In water, the DLVO model for spheres overpredicted the stability, while the model for cubes underpredicted the stability. At c = 1 mM, both models overpredicted the stability. At c = 10 mM, the model for spheres underpredicted the stability, whereas the model for cubes overpredicted the stability. Hence, there seems to be some significant shape effects on the electrostatic stabilization of CuPc particle dispersions. At c = 100 and 500 mM, both models underpredicted the stability substantially, suggesting the existence of additional short-range repulsive forces, which may primarily control the stability. Simple sensitivity analysis on the calculations supported these conclusions.
在 25°C 下,研究了水力学直径约为 90nm 的非球形晶体(β 型)铜酞菁(CuPc)颗粒在水中和硝酸钠(NaNO₃)水溶液中的分散稳定性和 ζ 电位。电解质浓度 c 范围为 1 至 500mM,颗粒浓度范围为 50 至 10000ppm(0.005 至 1wt%)。在每种情况下,均通过动态光散射(DLS)数据和瑞利-德拜-甘斯(RDG)散射理论确定福克-斯莫卢霍夫斯基稳定性比 W。数据表明,静电作用在 CuPc 基分散体的稳定性中起主要作用。基于 ζ 电位数据和颗粒面积(假定为立方体形)计算得到的每个 CuPc 颗粒的电荷 z 表明,在不带电的 CuPc 表面上优先吸附 NO₃⁻离子,并且表面电荷随电解质浓度的增加而增加。此外,还重新制定了两个新的 DLVO 理论球体和平行面对面立方体模型的无量纲形式。CuPc 颗粒的哈默常数是由同一作者根据 J.Chem.Theory Comput.(2010,即将出版)中的理论模型计算得出的。关键的无量纲组是静电双电层能量与哈默常数的比值 N。两个 DLVO 模型用于预测无量纲最大势能 Phi(max)的值、它可能存在的条件,然后是 W 的值。在水中,球体的 DLVO 模型过高预测了稳定性,而立方体的模型则过低预测了稳定性。在 c = 1mM 时,两个模型都过高预测了稳定性。在 c = 10mM 时,球体模型过低预测了稳定性,而立方体模型过高预测了稳定性。因此,在 CuPc 颗粒分散体的静电稳定化方面似乎存在一些显著的形状效应。在 c = 100 和 500mM 时,两个模型都大大低估了稳定性,这表明存在额外的短程排斥力,这可能主要控制稳定性。对计算的简单敏感性分析支持了这些结论。