球胶态颗粒在中等电位条件下双电层相互作用能和力

Interaction Energy and Force of Spherical Colloidal Particles at Moderate Potential

根据有效表面电位的定义，使用改进的Ｄｅｒｊａｇｕｉｎ法，推导出在中等电位条件下等同和不等同球形胶态颗粒相互作用能和力的近似表达式．与精确的数值解相比，对等同球颗粒，表面电位≤１００ｍＶ；对不等同球颗粒，表面电位≤７５ｍＶ；最大相对误差均小于±１０％，表明该近似式是目前较好的．

Using the definition of the effective reduced surface potential and resorting to improved Derjaguin method, we derive the formula for the interaction energy and force of identical and dissimilar spherical colloidal particles, valid up to the moderate potential. The agreement with exact numerical values is considerably improved on providing the surface potential ≤100 mV (for identical) and ≤75 mV (for dissimilar), the maximum relative errors are less than ±10%. For the identical and dissimilar spherical particles, our formula are best approximate expressions at present.