Moment equations for chromatography based on Langmuir type reaction kinetics
Moment equations for chromatography based on Langmuir type reaction kinetics
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基于 Langmuir 型反应动力学的色谱矩方程
DOI：
10.1016/j.chroma.2014.06.052
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
K.
中科院分区：
文献类型：
--
作者：
Miyabe;K.
推导了色谱的力矩方程，其中溶质分子与固定相上的功能配体之间的反应动力学由Langmuir 型速率方程表示。在拉普拉斯域中解析求解了代表柱中质量平衡、传质速率和反应动力学的色谱通用速率模型的一组基本方程。实时域中第一绝对矩和第二中心矩的矩方程由拉普拉斯域中的解析解导出。矩方程用于预测假设 HPLC 条件下的色谱行为。定量评估了与吸附平衡和反应动力学相关的参数对色谱行为的影响。预计矩方程对于详细分析传质速率和 Langmuir 型反应动力学对塔效率的影响是有效的。
Moment equations were derived for chromatography, in which the reaction kinetics between solute molecules and functional ligands on the stationary phase was represented by the Langmuir type rate equation. A set of basic equations of the general rate model of chromatography representing the mass balance, mass transfer rate, and reaction kinetics in the column were analytically solved in the Laplace domain. The moment equations for the first absolute moment and the second central moment in the real time domain were derived from the analytical solution in the Laplace domain. The moment equations were used for predicting the chromatographic behavior under hypothetical HPLC conditions. The influence of the parameters relating to the adsorption equilibrium and to the reaction kinetics on the chromatographic behavior was quantitatively evaluated. It is expected that the moment equations are effective for a detailed analysis of the influence of the mass transfer rates and of the Langmuir type reaction kinetics on the column efficiency.