Electrical interaction between charged colloids in an electrolyte and its behaviors in an electric field

• Main Authors: Ji-Ming Jiang, 姜繼銘
• Other Authors: Jyh-Ping Hsu
• Format: Others
• Language: en_US
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/26210200453210810603

博士 === 國立臺灣大學 === 化學工程學研究所 === 91 === In an electrolyte solution, the electrostatic interactions between charged surfaces and the electrical double layer determine the rate of many dynamic phenomena occurring in disperse system, for instance, coagulation, as well as interactions with boundary surface leading to adsorption or adhesion. The Poisson-Boltzmann theory is highly desirable not only for polymer and colloid science, biophysics and medicine, but for many modern technologies involving various separation procedures such as membrane filtration, enzyme and cell separation and so on. The aim of the present study is to investigate the behaviors of colloids in an energy field and the interactions between the charged surfaces in an electrolyte solution. First, the surface potential of a cylindrical colloidal particle is examined through the iterative method of the functional analysis theory. The radius and the surface potential can be seen as the function of the system parameters. Second, the electrical interaction between two rod-like particles covered by ion-penetrable membranes at a water-oil interface is discussed using a Green function approach. The force acting on the particles is explored. Third, on the basis of the modified Poisson-Boltzmann equation, the ionic distribution in a reverse micelle is illustrated numerically taken the finite ion size effect into account. We extend the analysis to various lipid structures by using the power series method. Three different structures, including two parallel plates, a cylinder, and a sphere are taken into account. The last, the spatial distribution of spherical colloidal particles inside a spherical charged cavity is studied. This problem of many bodies can be worked out through using the Ornstein-Zernike equation and the hypernetted-chain closure. The pair interaction energy between charged entities is figured out with the use of the Poisson-Boltzmann theory.