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A revised comprehensive approach for determining the H2 and D2 rovibrational population from the Fulcher-α emission in low temperature plasmas
Plasma Sources Science and Technology ( IF 3.8 ) Pub Date : 2020-12-22 , DOI: 10.1088/1361-6595/abc085
S Briefi , U Fantz

The emission of the Fulcher-$\alpha \enspace {d}^{3}{{\Pi}}_{u}\to {a}^{3}{{\Sigma}}_{g}^{+}$ transition is well-known for providing access to the rovibrational population of the hydrogen molecule in low temperature plasmas by means of optical emission spectroscopy. A revised comprehensive approach is developed for the evaluation that omits several simplifying assumptions, which are often made. The rovibrational distribution is directly calculated in the ${X}^{1}{{\Sigma}}_{g}^{+}$ state considering the typically observed hockey-stick population. The projection into the d 3Π u state is performed via vibrationally resolved electron impact excitation cross sections and radiative decay into the ${a}^{3}{{\Sigma}}_{g}^{+}$ is considered via vibrationally resolved transition probabilities. The obtained steady-state population is fitted to the experimentally measured one via varying the population parameters in the electronic ground state. The impact of this evaluation routine compared to the simplified ones is demonstrated both for H2 and D2 at two experiments: a standard CW low-power laboratory ICP and the pulsed high-power negative ion source plasma of the Linac4 accelerator at CERN. This assessment demonstrates that especially the simplification of measuring only the first five rotational emission lines (i.e. neglecting the rotational hockey-stick distribution) can affect the evaluation results significantly. In the application example, this leads to an overestimation of the gas temperature up to a factor of nine and to an underestimation of the determined intensity of the full Fulcher-α transition (required for applying collisional radiative models) up to a factor of three.



中文翻译:

一种修订的综合方法,可根据低温等离子体中的Fulcher- α发射来确定H 2和D 2旋转振动种群

所述Fulcher-的发射$ \ alpha \ enspace {d} ^ {3} {{\ Pi}} _ {u} \至{a} ^ {3} {{\ Sigma}} _ {g} ^ {+} $过渡是用于通过光学发射光谱的装置提供访问在低温等离子体中的氢分子的振转人口公知的。为评估开发了一种修订的综合方法,该方法省略了经常做出的几个简化假设。$ {X} ^ {1} {{\ Sigma}} _ {g} ^ {+} $考虑到通常观察到的曲棍球杆数量,直接在该状态下计算出振动分布。投影到d 3 Π ü状态通过振动分辨电子碰撞激发截面和辐射衰变到执行 $ {a} ^ {3} {{\ Sigma}} _ {g} ^ {+} $通过振动解析的过渡概率来考虑。通过改变电子基态下的种群参数,将获得的稳态种群拟合到实验测量的种群。对于H 2和D 2,都证明了此评估例程与简化例程相比的影响。在两个实验中:标准CW低功率实验室ICP和CERN的Linac4加速器的脉冲高功率负离子源等离子体。该评估表明,尤其是仅测量前五个旋转发射线的简化(即忽略旋转曲棍球杆分布)会明显影响评估结果。在应用示例中,这导致气体温度被高估了多达9倍,而对整个Fulcher- α跃迁的确定强度(应用碰撞辐射模型所必需的)的估计强度却被低估了直至3倍。

更新日期:2020-12-22
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