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FWHM measured at wavelength λ0. A convolution of the slit function (5.6) with the SPECAIR spectrum will provide an appropriately broadened simulated spectrum which can be accurately compared to the observed spectrum. The relationship between molecular emission spectra and temperature is complex. As excited electrons inside molecules transition to different energy states, quanta of energy, called photons, are released or absorbed in the process. The wave number, ν of the emitted or absorbed photon is given by: ν=E1 −E2 (5.7) hc hc where E1 and E2 are the energy states [41]. The energy of the emitted photon is the sum of the energies of the electronic, vibrational, and rotational transitions. The wavelength of such a transition can be defined in the Dunham series format as: 5 2 1p Cv′J′ C ′ 1p ′ ′ q B ′′ −1 ′′ ′′ q [J (J +1)] −Ypq v +2 Ypq v +2 (5.8) where na is the index of refraction and Ypq are constants related to the rovibrational transition [3]. The vibrational quantum numbers for the transition from state E′ to E′′ are given by v′ and v′′, respectively. Likewise J′ and J′′ represent the rotational quantum numbers. The values of Ypq for the Swan system (d3Πg ↔ a3Πu) can be found here [3,16]. The emission intensity corresponding to an emitted photon due to a transition from an upper state to a lower state is given by: J′ K Ev′ EJ′ IJ′′ = λ4 qv′,v′′ exp −k T SJ′,J′′ exp −k T (5.9) Bv Br where K is a geometrical constant, λ is the wavelength of the transition given by (5.8), Tv is the vibrational temperature, and Tr is the rotational temperature. The term qv′,v′′ λBv′′J′′ = na [J (J +1)] p=0 q=0 98PDF Image | CO2 Conversion in a Microwave Plasma Catalyst System
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