On theΠu2→Πg2Bands of CO2+. Part III

The rotational analysis of additional 14 sub-bands of the band system ${}_{}{}^2{}_{}{}^{}\Pi _u^{}{}_{}{}^{}\to {}_{}{}^2{}_{}{}^{}\Pi _g^{}{}_{}{}^{}$ of the molecule of C$\mathrm{O}_2^{}{}_{}{}^{+}$ leads to the identification of vibrational levels ${v_1}^{\prime \prime }=3,4,5,6\mathrm{}$, and 7 for the ground state of the molecule (Tables I-III). All 48 sub-bands analyzed and reported in Parts I, II, and III are arranged in a vibrational scheme into which many weaker, not analyzed bands (not less than 46) can be fitted. (Tables VI and VII). The distribution of the intensities of the bands corresponds to a Franck-Condon parabola with an extra intensity maximum on the diagonal. All vibrational and rotational constants for this band system (corresponding to different quanta of the symmetric vibration) are given in this and the previous paper, Part II. $B^{\prime \prime }$, $D^{\prime \prime }$, and $p^{\prime \prime }$ values for the levels ${v_1}^{\prime \prime }=0,1\mathrm{}$, and 2 and $p^{\prime }$ values for levels ${v_1}^{\prime }=0\mathrm{}$ to 6 were given in Part II. $B^{\prime \prime }$ and $D^{\prime \prime }$ for ${v_1}^{\prime \prime }=3\mathrm{}$ and 4 are given on pages 682-683 of this paper; $B^{\prime \prime }$, $D^{\prime \prime }$, and $p^{\prime \prime }$ for ${v_1}^{\prime \prime }=5,6\mathrm{}$, and 7 are given in Table III. Tables IV and V contain the rotational constants for the excited state ${}_{}{}^2{}_{}{}^{}\Pi _u^{}{}_{}{}^{}$. The dependence of the $\Lambda$-doubling on the rotational quantum number $J$ is represented in Fig. 4, Part II and Fig. 1, Part III. The values of $B^{\prime \prime }$ (Fig. 2), of $B^{\prime }$ (Fig. 5, Part II), of the $\Lambda$-doubling for $J=30\mathrm{}\frac{1}{2}$ (Figs. 3 and 4), and finally of the deviation of the vibrational energy from the calculated values (Figs. 5 and 6) are represented as functions of the vibrational quantum number. From these curves the character of the perturbations occurring for the substate ${}_{}{}^2{}_{}{}^{}\Pi _{\frac{3}{2g}}^{}{}_{}{}^{}$ at ${v_1}^{\prime \prime }=1\mathrm{}$, for ${}_{}{}^2{}_{}{}^{}\Pi _{\frac{3}{2u}}^{}{}_{}{}^{}$ at ${v_1}^{\prime }=4\mathrm{}$, for ${}_{}{}^2{}_{}{}^{}\Pi _{\frac{1}{2}u}^{}{}_{}{}^{}$ at ${v_1}^{\prime }=7\mathrm{}$, and finally for both substates in the ground level at ${v_1}^{\prime \prime }=5\mathrm{}$ can be conveniently studied. A discussion of these perturbations is included; however, no explanation is given, since this would require a special theoretical investigation.