Abstract The time-lag method is commonly used for the characterization of gas separation membranes. It allows the determination of the diffusion, permeability, and solubility coefficients from a single dynamic gas permeation experiment. This method is widely used for any membrane material, including glassy polymers, polymers with intrinsic microporosity, and mixed-matrix membranes. However, it is understood that for such determined transport coefficients, it is effective rather than intrinsic parameters that are estimated. In this paper, we focus on the applicability of the time-lag method for the characterization of theoretical mixed-matrix membranes (MMMs), in which impermeable particles of different shapes are ideally dispersed in a continuous polymer phase. Dynamic gas permeation experiments were simulated by solving the three-dimensional Fick's second law of diffusion numerically. The generated data allowed the estimation of the effective diffusion coefficient from the time lag and the ratio of the effective permeability and solubility coefficients.

中文翻译：

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时滞法表征混合基质膜的有效性

摘要 时滞法常用于气体分离膜的表征。它允许从单个动态气体渗透实验中确定扩散、渗透率和溶解度系数。该方法广泛用于任何膜材料，包括玻璃状聚合物、具有固有微孔性的聚合物和混合基质膜。然而，可以理解的是，对于这种确定的传输系数，它是有效的，而不是估计的内在参数。在本文中，我们专注于时滞法在表征理论混合基质膜 (MMM) 中的适用性，其中不同形状的不可渗透颗粒理想地分散在连续聚合物相中。通过数值求解三维菲克第二定律，模拟了动态气体渗透实验。生成的数据允许根据时间滞后以及有效渗透率和溶解度系数的比率来估计有效扩散系数。