Piech M, Walz JY
Department of Chemical Engineering, Yale University, New Haven, Connecticut, 06520
J Colloid Interface Sci. 2000 Dec 1;232(1):86-101. doi: 10.1006/jcis.2000.7194.
The effect of macromolecule shape on the depletion attraction between two hard spherical particles in a solution with nonadsorbing hard spheroidal macromolecules of arbitrary size and aspect ratio was investigated using a modified form of the force-balance model of J. Y. Walz and A. Sharma (1994, J. Colloid Interface Sci. 168, 495). The macromolecules were represented as general spheroids, which could be either charged or uncharged. For the uncharged case, a set of analytical expressions describing the depletion attraction, valid for particles much larger than the characteristic macromolecule size, was developed. Comparisons with the case of spherical macromolecules were made under the condition of either constant macromolecule number density, rho(b), or constant volume fraction, phi. It was found that increasing the spheroidal macromolecule aspect ratio (major axis length/minor axis length) decreases the depletion attraction at constant rho(b), but increases the interaction at constant phi. In the latter case, the interaction produced by prolate macromolecules is greater than that produced by oblate macromolecules of equal axis lengths, while the opposite is true at constant rho(b). A simple scaling analysis is used to explain these trends. Surface charge is found to increase both the range and the magnitude of the depletion attraction; however, the general trends are the same as those found in the uncharged systems. Finally, the effect of the depletion attraction produced by spherical and spheroidal macromolecules on the stability of a dispersion of charged particles was examined. It was found that charged spheroids at concentrations of order 1% volume can produce secondary energy wells of sufficient magnitude to induce flocculation in a dispersion of charged spherical particles. Copyright 2000 Academic Press.
使用J. Y. Walz和A. Sharma(1994年,《胶体与界面科学杂志》168卷,495页)的力平衡模型的修正形式,研究了在含有任意尺寸和纵横比的非吸附性硬椭球状大分子的溶液中,大分子形状对两个硬球形颗粒之间耗尽吸引力的影响。大分子被表示为一般的椭球体,可以是带电的或不带电的。对于不带电的情况,推导了一组描述耗尽吸引力的解析表达式,这些表达式对尺寸远大于大分子特征尺寸的颗粒有效。在大分子数密度ρ(b)恒定或体积分数φ恒定的条件下,与球形大分子的情况进行了比较。结果发现,在ρ(b)恒定时,增加椭球状大分子的纵横比(长轴长度/短轴长度)会降低耗尽吸引力,但在φ恒定时会增加相互作用。在后一种情况下,长椭球状大分子产生的相互作用大于等轴长度的扁椭球状大分子产生的相互作用,而在ρ(b)恒定时情况则相反。使用简单的标度分析来解释这些趋势。发现表面电荷会增加耗尽吸引力的范围和大小;然而,总体趋势与在不带电系统中发现的趋势相同。最后,研究了球形和椭球状大分子产生的耗尽吸引力对带电颗粒分散体稳定性的影响。结果发现,体积浓度约为1%的带电椭球体可以产生足够大的二次能量阱,以诱导带电球形颗粒分散体中的絮凝。版权所有2000年学术出版社。