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Effect of stagnant-layer conductivity on the electric permittivity of concentrated colloidal suspensions

机译:停滞层电导率对浓缩胶体悬浮液介电常数的影响

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A long-lasting experience in the electrokinetics of suspensions has shown that the so-called standard model may be partly in error in explaining experimental data.In this model, the stagnant layer is considered nonconducting (K~(sigma i)=0), and only the diffuse layer contributes to the total surface conductivity (K~(sigma)=K~(sigma d)).In the present work, the authors analyze the consequences of assuming a nonzero stagnant layer conductivity on the permittivity of concentrated suspensions.Using a cell model to account for the particle-particle interactions, and a well established ion adsorption isotherm on the inner region of the double layer, the authors find the frequency-dependent electric permittivity of suspensions of spherical particles with volume fractions of solids up to above 40%.It is demonstrated that the addition of K~(sigma i) significantly increases the contributions of the double layer to the polarization of the suspension: the alpha or concentration polarization at low (kilohertz) frequencies, and the Maxwell-Wagner-O'Konski (associated with conductivity mismatch between particle and medium) one at intermediate (megahertz) frequencies.While checking for the possibility that the results obtained in conditions of K~(sigma i) not = 0 could be reproduced assuming K~(sigma i)=0 and raising K~(sigma d) to reach identical total K~(sigma), it is found that this is approximately possible in the calculation of the permittivity.Interestingly, this does not occur in the case of electrophoretic mobility, where the situations K~(sigma)=K~(sigma d) and K~(sigma)=K~(sigma d)+K~(sigma i) (for equal K~(sigma)) can be distinguished for all frequencies.This points to the importance of using more than one electrokinetic technique to properly evaluate not only the zeta potential but other transport properties of concentrated suspensions, particularly K~(sigma i).
机译:悬浮液动力学方面的长期经验表明,所谓的标准模型在解释实验数据时可能会出现部分错误。在该模型中,停滞层被视为不导电(K〜(sigma i)= 0),在目前的工作中,作者分析了假设非零停滞层电导率对浓缩悬浮液介电常数的影响。利用细胞模型解释颗粒-颗粒之间的相互作用,并在双层的内部区域建立了良好的离子吸附等温线,作者发现了球形颗粒悬浮液的频率依赖性电容率,其固体分率为高于40%。证明添加K〜(σi)显着增加了双层对悬浮液极化的贡献:α或α浓度极化w(千赫兹)频率和Maxwell-Wagner-O'Konski(与粒子和介质之间的电导率不匹配相关)频率在中(兆赫兹)频率处一个。同时检查在K〜(σi假设K〜(sigma i)= 0并提高K〜(sigma d)以达到相同的总K〜(sigma),则可以复制出非= 0的值,这发现在计算介电常数方面几乎是可能的。 ,这在电泳迁移率情况下不会发生,在这种情况下,K〜(sigma)= K〜(sigma d)和K〜(sigma)= K〜(sigma d)+ K〜(sigma i)(相等)可以区分所有频率的K〜(sigma),这表明使用不止一种电动技术来正确评估浓缩悬浮液的zeta电位和其他传输特性(尤其是K〜(sigma i))的重要性。

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