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Approximate analytic expressions for the diffusiophoretic velocity of a spherical colloidal particle
Electrophoresis ( IF 2.9 ) Pub Date : 2021-07-07 , DOI: 10.1002/elps.202100178 Hiroyuki Ohshima 1
Electrophoresis ( IF 2.9 ) Pub Date : 2021-07-07 , DOI: 10.1002/elps.202100178 Hiroyuki Ohshima 1
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The general expression is derived for the diffusiophoretic velocity of a spherical colloidal particle of radius a in a concentration gradient of symmetrical electrolyte. On the basis of this expression, simple approximate analytic expressions for the diffusiophoretic velocity correct up to the order of 1/κa is derived, where κ is the Debye-Hückel parameter. It is found that the approximate expression correct to order unity can be applied for κa ≥ 50 with negligible errors, while the approximate expression correct to order 1/κa can be applied for κa ≥ 20 with negligible errors.
中文翻译:
球形胶体粒子扩散泳速的近似解析表达式
推导了半径为 a 的球形胶体粒子在对称电解质浓度梯度中的扩散泳速的一般表达式。在此表达式的基础上,导出了精确到 1/ κa量级的扩散泳速的简单近似解析表达式,其中κ是 Debye-Hückel 参数。发现对于κa ≥ 50 可以应用阶单位正确的近似表达式,误差可忽略不计,而对于κa ≥ 20,可以应用1/ κa阶正确的近似表达式,误差可忽略不计。
更新日期:2021-07-07
中文翻译:
球形胶体粒子扩散泳速的近似解析表达式
推导了半径为 a 的球形胶体粒子在对称电解质浓度梯度中的扩散泳速的一般表达式。在此表达式的基础上,导出了精确到 1/ κa量级的扩散泳速的简单近似解析表达式,其中κ是 Debye-Hückel 参数。发现对于κa ≥ 50 可以应用阶单位正确的近似表达式,误差可忽略不计,而对于κa ≥ 20,可以应用1/ κa阶正确的近似表达式,误差可忽略不计。