New Pattern Recognition Methods Applied to Spectra in Transition from Regularity to Chaos: $C_{2}H_{2}$ Stimulated Emission Pumping, and $NO_{2}$ MODR
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Date
1990
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Ohio State University
Abstract
New pattern recognition methods have been developed, based on an multi-dimensional extended autocorrelation method. The new methods are capable of discriminating between rotational and vibrational order in unassigned spectra, can be tailored to expected spacing and intensity patterns and to expected errors in intensity measurements and line positions, and are rather insensitive to spectral noise, especially for multi-line patterns. This method also suggests a quality factor which may be applied to evaluate combination-difference combinations in assigning complex spectra. These methods are applied to the stimulated emission pumping spectrum of $C_{2}H_{2}$ at energies between the regular and ergodic regions, and to $NO_{2}$ microwave optical double resonance spectra at different energies and J values. These results are related to other measures, including the Fourier transform. $\Delta_{2}$ and $\Sigma_{2}$
Description
Lehmann: Dept. of Chemistry, Princeton U., Princeton, N.J.
Author Institution: Dept. of Chemistry, MIT; Dept. of Chemistry, Princeton U.; Dept. of Chemistry, MIT
Author Institution: Dept. of Chemistry, MIT; Dept. of Chemistry, Princeton U.; Dept. of Chemistry, MIT