由多孔材料中正电子偶素寿命估算孔径的混合模型
A hybrid model for estimation of pore size from ortho-positronium lifetimes in porous materials
摘要：
本文提出了一种新的模型来估计自由体积尺寸的多孔材料的基础上分析各种实验的正电子偶素（$o$ -Ps）的寿命数据。该模型是通过结合半经典（SE）物理模型，这是在大孔（孔径$R >$ 1 nm）的区域工作，与传统的陶-埃尔德鲁普（TE）模型，这是只适用于小孔区域（$R <$ 1 nm）。因此，所提出的模型，称为混合（HYB）模型，是能够顺利连接的$o$ -Ps的寿命在两个区域的孔。此外，通过引入$o$ -Ps扩散概率参数（$D$），HYB模型在整个孔径范围内较好地再现了实验得到的$o$ -Ps寿命。它甚至比最新的矩形TE（RTE）和东京模型与实验数据更好的协议。特别是，通过调整$D$的值，HYB模型也可以很好地描述两组定义的实验$o$ -Ps的寿命在具有球形和通道几何形状的孔。与以往提出的模型相比，本模型的优点在于它适用于$0.2 - 400$ nm范围内的大多数不同几何形状的多孔材料。
英文摘要：
The present paper proposes a novel model for estimating the free-volume size of porous materials based on the analysis of various experimental ortho-positronium ($o$-Ps) lifetime data. The model is derived by combining the semi-classical (SE) physics model, which works in the region of large pores (pore size $R >$ 1 nm), with the conventional Tao-Eldrup (TE) model, which is applicable only for the small-pore region ($R <$ 1 nm). Thus, the proposed model, called the hybrid (HYB) model, is able to smoothly connect the $o$-Ps lifetimes in the two regions of the pore. Moreover, by introducing the $o$-Ps diffusion probability parameter ($D$), the HYB model has reproduced quite well the experimental $o$-Ps lifetimes in the whole region of pore sizes. It is even in a better agreement with the experimental data than the most up-to-date rectangular TE (RTE) and Tokyo models. In particular, by adjusting the value of $D$, the HYB model can also describe very well the two defined sets of experimental $o$-Ps lifetimes in the pores with spherical and channel geometries. The merit of the present model, in comparison with the previously proposed ones, is that it is applicable for the pore size in the universal range of $0.2 - 400$ nm for most of porous materials with different geometries.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
