Effect of anisotropic scattering for rotational collisions on electron transport parameters in CO

Abstract

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Electron-neutral collision cross sections for H2O: I. Complete and consistent set

“…Furthermore, we assume isotropic scattering which is why a forward angular discrimination correction [47] is not implemented. Arguments in favour of the Born approximation [48][49][50] and the obtained agreement with experiments in section 4 speak for the validity of the introduced simplifications. The lowest rotational level included is H 2 O(X,v = 000, J = 000) at 0 eV (reference value where X refers to the electronic ground state) while the highest level is H 2 O(X,v = 000, J = 660) at 0.12958 eV (given with the maximum accuracy accepted by BOLSIG+, like in table 1).…”

Electron-neutral collision cross sections for H2O: II. Anisotropic scattering and assessment of the validity of the two-term approximation

“…As has been shown, the approximation is however often still valid even for low electron energies since the effective interaction occurs distant from the molecule. The wave function of the incident electron is then only marginally distorted [26,39,40]. See particularly Vialetto et al for an indepth discussion [26].…”

“…The wave function of the incident electron is then only marginally distorted [26,39,40]. See particularly Vialetto et al for an indepth discussion [26]. By integrating the DCS over the solid angle and assuming azimuthal symmetry, we obtain the integral cross section (ICS):…”

“…authors [42] consider a different formula for inelastic processes. This is extensively discussed in [26]. In this paper, whenever talking about momentum transfer, we refer to the definition (5).…”

“…A scaling factor of 0.3 and a cut-off beyond 12 eV are introduced in the calculation of the rotational CSs [25], so as to obtain agreement with experimental electron transport coefficients 4 . In the present publication, a more thorough description of the rotations through inclusion of the anisotropy [26] of the scattering process is provided. The inclusion of anisotropic scattering is justified from our previous work on electrons in CO, where forward angular scattering for rotational collisions has been demonstrated to have a large impact in the calculations of electron transport coefficients for reduced electric fields E/N ⩽ 1 Td (1 Td = 1 × 10 −21 V m 2 ) [26], leading to an improved agreement with experiments.…”