Abstract

Electron-impact excitation of the excited vibrational levels of the ${c}_{4}^{\mathcal{'}}$ $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the nitrogen molecule has been studied. We measure the electron-impact optical emission cross sections of the (1,2), (4,0), and (4,1) vibration bands of the ${c}_{4}^{\mathcal{'}}$\ensuremath{\rightarrow}a electronic transition of the nitrogen molecule and compare them with the direct electron-impact cross sections of the ${c}_{4}^{\mathcal{'}}$(v') vibrational levels reported in the literature. The Franck-Condon factors between the ground vibrational level of the X $^{1}\ensuremath{\Sigma}_{g}^{+}$ ground electronic state and the various vibrational levels of ${c}_{4}^{\mathcal{'}}$ have been calculated and compared with the electron-impact cross sections. The excitation cross sections of the v'=4 level of ${c}_{4}^{\mathcal{'}}$ are several orders of magnitude higher than predicted by the Franck-Condon picture. This discrepancy is due to the perturbations of the ${c}_{4}^{\mathcal{'}}$(v'=4) level by the b' $^{1}\mathrm{\ensuremath{\Sigma}}_{\mathrm{u}}^{+}$ state.

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