“…The relation between the number density of N 2 (C) and the vibrational temperature is given as follows: where N 0 and N 1 are the number density of N 2 (C) at vibrational levels 0 and 1, respectively, E 0 and E 1 are the energy of N 2 (C) at vibrational levels 0 and 1, and k is the Boltzmann constant. The ratio N 0 / N 1 in Equation can be expressed as the ratio of the intensity of N 2 (C 3 Π u → B 3 Π g , 0–2) and N 2 (C 3 Π u → B 3 Π g , 1–3): where I 0 and I 1 are the intensities of N 2 (C 3 Π u → B 3 Π g , 0–2) and N 2 (C 3 Π u → B 3 Π g , 1–3), respectively, v 0 and v 1 are wavenumbers of 380.5 and 375.5 nm, respectively, and q 1 and q 2 are the Franck–Condon factors. According to Equations and , we can conclude that the vibrational temperature is proportional to the ratio of the emission intensities of N 2 (C 3 Π u → B 3 Π g , 0–2) and N 2 (C 3 Π u → B 3 Π g , 1–3).…”