Elastic cross-sections for low energy collision of Ar+ with Ne and Monte Carlo simulation of the transport of Ar+ ions in gaseous Ar/Ne mixtures

Abstract

The drift velocities and the longitudinal and transverse diffusion coefficients for Ar⁺ ions in gaseous Ar/Ne mixtures, at atmospheric pressures, for Ar concentrations between 1 and 20%, and reduced electric field strengths, E/N, from 1 to 100 Td, corresponding to E/p, from about 0.329 to 32.9 V cm⁻¹ Torr⁻¹ at 293 K, are calculated by Monte Carlo simulation. The Monte Carlo simulations use a set of integral and differential elastic collision cross-sections for Ar⁺ ions with neutral Ar and Ne atoms. Differential and integral elastic collision cross-sections for Ar⁺ ions with neutral Ne atoms are calculated, and reported for center-of-mass energies between 1 meV and 10 eV, using a modified Tang and Toennies ion-atom interaction potential model to describe ab initio spectroscopic data for the ArNe⁺ molecular ion and the long-range interaction potentials. The phase shifts were calculated with the JWKB approximation. The cross-sections for the collision of Ar⁺ ions with Ar atoms used were the ones calculated before by the authors.