高等学校化学学报

高等学校化学学报 ›› 2001, Vol. 22 ›› Issue (6): 995.

• 研究论文 • 上一篇    下一篇

球胶体颗粒之间相互作用能的求解

陈崇钧1, 陈晓东2, 罗根祥2, 金军2, 王好平2   

  1. 1. 鞍山师范学院化学系, 鞍山 114005;
    2. 抚顺石油学院材料科学系, 抚顺 113001
  • 收稿日期:2000-04-27 出版日期:2001-06-24 发布日期:2001-06-24
  • 通讯作者: 王好平(1942年出生),男,教授,从事胶体化学研究.E-mail:wanghaoping@ihw.com.cn E-mail:wanghaoping@ihw.com.cn
  • 基金资助:

    国家自然科学基金(批准号:29673012)资助

Derivation of Interaction Energy and Force Between Identical Spheres in Linear Superposition Approximation

CHEN Chong-Jun1, CHEN Xiao-Dong2, LUO Gen-Xiang2, JIN Jun2, WANG Hao-Ping2   

  1. 1. Department of Chemistry, Anshan Teachers' College, Anshan 114005, China;
    2. Department of Material Science, Fushun Petroleum Institute, Fushun 113001, China
  • Received:2000-04-27 Online:2001-06-24 Published:2001-06-24

PDF (PC)

被引次数

5

摘要： 根据线性迭加近似方法,定义了一个修正电位项,较详细地推导出用于中等电位条件下球形胶体颗粒相互作用能和力的公式,该公式较为简单、实用,然而,对其所做的改进主要是针对相互作用能而不是力,对其原因也作了简单的讨论.

关键词: 胶体, 线性迭加, 相互作用能

Abstract: We define an effective surface potential of spherical particle, which can be decomposed as φ(κh)=Y(h)+ΔY(h). First part of the effective surface potential is the unperturbed surface potential which is expressed by equation(6) in the text and other part is a perturbed surface potential of the particle due to the presence of the other particle. Furthermore, a detailed derivation of interaction energy and force between identical spheres in linear superposition approximation is presented. Thus very simple analytic formulas are presented between two identical spherical particles for interaction energy at moderate potential. The agreement with exact numerical results is considerably improved for free energy, but not force. The reason is that the relation of the energy and the force is the relation of integration and differentiation but integration can smooth an integrand and defferentiation exposes singularity of a function. Terefore, the agreement with exact numerical results is better for free energy, but not force.

Key words: Colloid, Linear superposition, Interaction energy

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