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Modeling the transport properties of molecular ions of krypton and xenon for the optimization of cold plasma generators using rare gases

Abstract : The use of cold plasmas based on rare gases (Rg) in biomedical applications as well as in space propulsion is clearly evolving. To optimize these plasma reactors, a fine understanding of the processes taking place in these reactors is necessary. This thesis aims to provide the missing data in the literature (transport coefficients and reaction rates) through mesoscopic data (cross-sections) obtained from microscopic data (interaction potentials) for xenon and krypton in their parent gas. Only cold plasmas composed of a single type of atom are considered. As krypton and xenon are rare gases, and so have, in the neutral state little / no interaction between them. Therefore, only ion - atom collisions will be considered. Due to the low ion energies in the cold plasma, only the first 6 excited states of the Rg2+ pair will be taken into account. These 6 states will be classified in two groups, 2P1/2 and 2P3/2. In this work, two different interaction potentials available in the literature are used and compared for the Kr+/Kr and Xe+/Xe collision systems in the calculation of cross-sections. For collisions involving ionic dimers (Kr2+/Kr and Xe2+/Xe), the interaction potentials are calculated from the DIM model (Diatomics In Molecules) which is a combination of the atomic potentials of neutral - neutral and ionic - neutral interactions. The cross-sections required to obtain the missing mesoscopic data are calculated from three different methods. The first method is the quantum method which allows, by a resolution of the Schrödinger equation, to obtain exactly the cross-sections from the interaction potentials. This exact method, which consumes a lot of computation time, is used as a reference to validate the two other approximate methods. The second method, called semi-classical, is based on the same expression as the quantum cross section but uses an approximate phase shift (JWKB approximation), induced by the interaction potential, between the scattered wave and the incident wave. [...]
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Cyril van de Steen. Modeling the transport properties of molecular ions of krypton and xenon for the optimization of cold plasma generators using rare gases. Quantum Gases [cond-mat.quant-gas]. Université Paul Sabatier - Toulouse III, 2018. English. ⟨NNT : 2018TOU30264⟩. ⟨tel-02379733⟩

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