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APPENDIX A Description of Ho ̈nl-London Factors The Ho ̈nl-London factors indicate how the total emission intensity of a transition is distributed among rotational P-, Q-, and R-branches. For diatomic molecules such as C2, each branch is denoted by the change in rotational quantum number J. Using the notation J′ for the lower state and J′′ for the upper state, ∆J = J′′ − J′. The R-branch is given by ∆J = 1, the P-branch is given by ∆J = −1 and the Q-branch is for ∆J = 0. The shape and intensity of each branch is determined by the change in the orbital angular momentum quantum number Λ for a given transition. For Λ = 0, 1, 2, 3, ...L, the corresponding molecular state is designated by Σ, Π, ∆, Φ,..., where L is the orbital angular momentum [41]. For the Swan system of concern here, the transition occurs between electronic triplet states d3Πg ↔ a3Πu. Both states have quantum number Λ = 1, resulting in ∆Λ = 0. The Ho ̈nl-London formulae for this transition are [41]: SJR = J′′ +1+Λ′′J′′ +1−Λ′′ J′′ +1 2J′′ +1Λ′′2 SJQ = J′′ (J′′ +1) (A.1a) (A.1b) (A.1c) SJP = J′′ +Λ′′J′′ −Λ′′ J′′ 161PDF Image | CO2 Conversion in a Microwave Plasma Catalyst System
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