Knowledge Bank

In the present work, we report the results of an analysis of the $2\nu 1,\nu 1+\nu 3$, and $2\nu 1$ bands of $\mathrm{<mrow\; data-mjx-texclass="ORD">1\ast </mrow>}O3$, the strongest bands in the $4.8\mu$m spectral region. The laboratory spectra were recorded at room temperature and $0.005cm-1$ resolution using the Fourier transform spectrometer located in the McMath solar telescope facility on Kitt Peak in Arizona. The ozone samples were prepared from $>99.98\%$ pure $\mathrm{<mrow\; data-mjx-texclass="ORD">1\ast </mrow>}0$, using the silent electric discharge technique. Initial assignments were obtained from the results of an earlier study, and a first calculation was performed with the aid of a Hamiltonian taking into account the interactions affecting the rovibrational levels. The Improved vibrational energies and the rotational and coupling constants derived from this fit were used to calculate extrapolated levels. From these results and subsequent iterations, assignments were obtained up to $J=55,Ka=14$ for the $2\nu ,J=64,Ka=17$ for the $\nu 1+\nu 3$, and $J=55,Ka=14$ for the $2\nu$, bands, significantly extending the set of lines previously assigned. Experimental rotational energy levels of the three interacting states (002). (101), and (200) were obtained by adding the observed line positions to the known ground-state rotational levels. These upper-state levels were then reproduced using a Hamiltonian which takes into account the Coriolis-type interactions between the rotational levels of (002) and (101) and of (101) and (200). as well as the Darling-Dennison interaction between the levels of (002) and (200). The fit was satisfactory since a standard deviation of $0.00047cm-1$ was achieved, close to the experimental uncertainty. In addition, 416 relative line intensities were measured from the spectra. The intensities were calibrated with respect to the intensities of lines in the $10-\mu m$ region which appear in the same spectra and have been previously $determined.1$ Precise transition moment constants for the three bands under study have been deduced. A complete listing of line positions, intensities, and lower state energies has also been generated.