Tangent-geometry calculations of the outgoing inherent atmospheric radiation in the 9.6-μm ozone absorption band are carried out for sighting altitudes of 30-110 km. Departures from local thermodynamic equilibrium (LTE) in 20 vibrational transitions are taken into account. An analysis of optical characteristics of the atmosphere (source functions, absorption and radiation coefficients) is performed in the spectral bands of different vibrational transitions at and off LTE, including the cases of the so-called laser effects in the atmosphere. The spectra of the outgoing radiation are calculated using daytime and nighttime models of the atmosphere. From an analysis of variations in outgoing nonequilibrium radiation that are due to variations in the ozone content and vibrational temperatures, it was concluded that a combined inverse problem for the above variables can be solved provided that measurements within a wide spectral region at a resolution of 0.05-5 cm^-1 are employed.