Calculations with experimental validations of cross-sections and transport coefficients of Xe⁺ colliding with Xe

Mobility and diffusion coefficients of ${Xe}^{+}$ ions in xenon gas and related momentum transfer cross-sections (MTCSs) for ${Xe}^{+}$/Xe collisions are calculated using two different sets of diatomic interaction potentials and various theoretical approaches. MTCSs are obtained using four different methods: quantum method where both electrons and atomic nuclei are treated quantum mechanically, semi-classical method taking advantage of the Jeffreys–Wentzel–Kramers–Brillouin approximation applied to atomic nuclei, hybrid method where electrons are treated quantum mechanically while classical treatment is used for atomic nuclei, and a semi-empirical inverse method within which the cross-sections are extracted from available measurements on the ${Xe}^{+}$ mobility in xenon gas. Mobility and diffusion coefficients are calculated at ambient pressure and temperature for a broad range of the reduced electric field ($E/N=5\text{--}3000$ Td) using a Monte Carlo approach. A thorough comparison with available experimental data is provided. (paper)