Theoretical prediction on the R-branch lines for the first overtone transitions in the ground electronic state of 12C16O

An analytical formula for the diatomic R-branch emission lines that was recently tested as a universal expression has been further modified based on the difference algebraic converging method. The tiny experimental line errors that may lead to amplified errors in the determination of high J lines were taken into account in the formula. Applications are presented for the R-branch emission spectra of (2-0), (3-1), (6-4), and (7-5) overtone bands of the ground electronic state of 12C16O. The rotational constants and band origins that are consistent with those reported previously are determined through the analytical formula for predicting frequency for emission lines up to J = 110. The results are shown to not only compare favorably with available lower J lines, but also generate reasonable higher J lines for the overtone bands, which agree with data from the HITRAN database and other works.An analytical formula for the diatomic R-branch emission lines that was recently tested as a universal expression has been further modified based on the difference algebraic converging method. The tiny experimental line errors that may lead to amplified errors in the determination of high J lines were taken into account in the formula. Applications are presented for the R-branch emission spectra of (2-0), (3-1), (6-4), and (7-5) overtone bands of the ground electronic state of 12C16O. The rotational constants and band origins that are consistent with those reported previously are determined through the analytical formula for predicting frequency for emission lines up to J = 110. The results are shown to not only compare favorably with available lower J lines, but also generate reasonable higher J lines for the overtone bands, which agree with data from the HITRAN database and other works.