Thermal-Diffusion-Column Shape Factors for the Lennard-Jones (12–6) Potential

Abstract

The theory of the hot‐wire thermal‐diffusion column as developed by Jones and Furry involves the shape factors h, k_c, and k_d, which are functions of the transport properties of the gas. The shape factors have been evaluated numerically for a gas whose molecules interact according to the Lennard‐Jones (12–6) potential, given by ${\text{V(r)=4ε[(σ/r)}}^{12}{\mathrm{-(\sigma /r)}}^6]$ . The results are tabulated for a range of kT/ε from 0.8 to 30 for temperature ratios as great as 6 and for ratios of column radii up to 100. These values are more accurate than those previously computed for potentials varying as r^—5 (Maxwellian) and for r^—∞ (rigid spheres). The values for the constants are found to give good agreement with experimental data on the system He³‐He⁴.