等同的平板型高电位胶体颗粒的强相互作用  

Strong Interaction of Identical Plates Colloidal Particles With Surface High Potential

作　　者：陈崇钧[1] 罗根祥[2] 金军[2] 王好平[2] 

机构地区：[1]鞍山师范学院化学系,辽宁鞍山114005 [2]抚顺石油学院材料科学系,辽宁抚顺113001

出　　处：《石油化工高等学校学报》2001年第1期10-13,共4页Journal of Petrochemical Universities

基　　金：国家自然科学基金项目!( 2 9792 0 70 )

摘　　要：在高电位的条件下 ,PB方程中的双曲正弦可以简化为指数函数 ,由此导出了高电位等同平板型颗粒的相互作用力与相互作用能的近似表达式。由于PB方程简化的原因 ,当颗粒之间的距离较远时 ,表达式发散 ,所以 ,它的使用范围在kh <2π ,精确的位置在kh≤ 4。使用杰列金法 ,或改进的杰列金法 ,又求出高电位球颗粒的相互作用能 ,这些近似表达式和精确的数值解相比 ,吻合的相当好 ,而且电位越高 ,精确度越好。When surface potential of the particles is high sinh yey/2 in the nonlinear Poisson-Boltzmann equation. Thus, we have derived simple approximate expressions for the repulsive energy and force between two identical plates with constant high surface potential. By using Derjaguin's method or the improved Derjaguin's method, the expressions of the repulsive energy between two identical spheres with constant high surface potentials have been derived. Because the PB equation has been simplified the expression will be divergent when the distances among the particles are great. Therefore the usage range of these formulae is at kh < 2π and accurate location is at kh &le 4. The formulae are considerably in agreement with the exact numerical values of the interaction between two identical plates given by Devereux and de Bruyn for high constant surface potentials.

关 键 词：平板型 胶体 高电位 强相互作用 

分 类 号：O648.14[理学—物理化学]