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A high-resolution emission spectrum of a low-pressure Ar-diluted CO + N2O → CO2 + N2 flame catalyzed by Na metal vapor has been obtained and examined for vibrational disequilibrium. Emission in the 1900-2400 cm−1 spectral region, which includes the fundamental and “hot” bands of CO, CO2(ν3), and N2O(ν3), was recorded with high resolution and the CO emission was analyzed in detail to determine vibrational and rotational temperatures which were found to be unequal, Tv = 2050°K and TR = 1100°K. An examination of vib-vib and vib-trans energy transfer mechanisms results in the conclusion that an excess of 14% of the chemical energy is preferentially deposited in the resonantly-coupled N2, CO, CO2 (ν3), and N2O(ν3) vibrational modes. It is further observed that CO vibrational levels for ν > 4 are excessively populated, presumably due to quenching of Na*(3p) by CO; the flame is accompanied by intense Na D-line chemiluminescence.

The purpose of this paper is to investigate the issue systematically. We identify 9 generalized types of absolute continuity which possess desirable properties, such as reflexivity and transitivity. We also study the relationship between these distinct types of absolute continuity and determine which of them are possessed by the fuzzy measure (or the lower semicontinuous fuzzy measure) defined by the fuzzy integral. >