Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, Egypt.
J Adv Res. 2013 Nov;4(6):501-8. doi: 10.1016/j.jare.2012.08.013. Epub 2012 Nov 6.
An approximate empirical isotropic interatomic potentials for CH4-inert gas mixtures are developed by simultaneously fitting the Exponential-Spline-Morse-Spline-van der Waals (ESMSV) potential form to viscosity, thermal conductivity, thermal diffusion factors, diffusion coefficient, interaction second pressure virial coefficient and scattering cross-section data. Quantum mechanical lineshapes of collision-induced absorption (CIA) at different temperatures for CH4-He and at T = 87 K for CH4-Ar are computed using theoretical values for overlap, octopole and hexadecapole mechanisms and interaction potential as input. Also, the quantum mechanical lineshapes of collision-induced light scattering (CILS) for the mixtures CH4-Ar and CH4-Xe at room temperature are calculated. The spectra of scattering consist essentially of an intense, purely translational component which includes scattering due to free pairs and bound dimers, and the other is due to the induced rotational scattering. These spectra have been interpreted by means of pair-polarizability terms, which arise from a long-range dipole-induced-dipole (DID) with small dispersion corrections and a short-range interaction mechanism involving higher-order dipole-quadrupole A and dipole-octopole E multipole polarizabilities. Good agreement between computed and experimental lineshapes of both absorption and scattering is obtained when the models of potential, interaction-induced dipole and polarizability components are used.
通过同时将指数样条 Morse 样条范德瓦尔斯(ESMSV)势能形式拟合到粘度、热导率、热扩散系数、扩散系数、相互作用第二压力维里系数和散射截面数据,为 CH4-惰性气体混合物开发了一种近似经验各向同性原子间势能。使用重叠、八极和十六极机制以及相互作用势能作为输入,计算了不同温度下 CH4-He 以及 T = 87 K 时 CH4-Ar 的碰撞诱导吸收(CIA)的量子力学线谱。还计算了室温下 CH4-Ar 和 CH4-Xe 混合物的碰撞诱导光散射(CILS)的量子力学线谱。散射光谱主要由强烈的纯平移分量组成,其中包括由于自由对和束缚二聚体引起的散射,另一个是由于诱导的旋转散射引起的。这些光谱通过偶极子极化率项进行了解释,这些项来自长程偶极子诱导偶极子(DID),具有小的色散修正和涉及高阶偶极子-四极子 A 和偶极子-八极子 E 多极极化率的短程相互作用机制。当使用势能、相互作用诱导偶极子和极化率分量的模型时,获得了吸收和散射的计算和实验线谱之间的良好一致性。