• Bulletin of the Korean Chemical Society
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• v.30 no.8
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• pp.1783-1792
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• 2009

Although overlapping resonances have been studied extensively in conventional resonance theories, there have not been many studies on them in multichannel quantum defect theories (MQDT). In MQDT, overlapping resonances occur between the channels instead of states, which pose far greater difficulty. Their systematic treatment was obtained for cases involving degenerate closed channels by applying our previous theory, which decouples background scattering from the resonance scattering in the MQDT formulation. The use of mathematical theory on con-diagonalization and con-similarity was essential for handling the non-Hermitian symmetric complex matrix. Overlapping resonances in rare gas spectra of Ar, Kr and Xe were analyzed using this theory and the results were compared with the ones of the previous alternative parameterizations of MQDT which make the open-open part $K^{oo}$ and closed-closed part $K^{cc}$ of reactance submatrices zero. The comparison revealed that separation of background and resonance scatterings achieved in our formulation in a systematic way was not achieved in the representation of $K^{oo}\;=\;0\;and\;K^{cc}$ = 0 when overlapping resonances are present.

• Bulletin of the Korean Chemical Society
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• v.32 no.5
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• pp.1519-1526
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• 2011

A previous study (Lee, C. W. J. Phys. B 2010, 43, 175002) that isolated the overlapping resonances in the photoionization spectra using multichannel quantum defect theory (MQDT) in systems involving a single open channel was extended to manage many open channels when the closed channels are degenerate. The theory was applied to the dipole allowed J = 1$^{\circ}$ spectra from the ground state with excitation energies lying between the lowest ionization thresholds for rare gas atoms, Ar, Kr, and Xe, and also for group IV elements, Ge, Sn and Pb.

• Journal of the Korean Chemical Society
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• v.39 no.5
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• pp.399-407
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• 1995

Electrothermal-Hollow Cathode Glow Discharge Spectrometry (Et-HCGDS) has been constructed in our laboratory for in-situ monitoring of traceble amounts of rare earth elements and actinides. Et-HCGDS is the portable glow discharge system that can perform the trace analysis of elements. The main structural design of Et-HCGDS was based upon the electrothermal heating and glow discharge techniques. More details on Et-HCGDS are available elsewhere. In this study, air was used as a flow gas for the glow discharge system. As a result, the emission spectra of air were collected and the assignment of air emission lines was performed with helps of pure nitrogen and oxygen emission spectra and previously published results. We found that the emission lines of air plasma were mainly due to nitrogen molecules. This paper includes the complete assignments of the air emission lines observed by using Et-HCGDS. Also, this study will be an useful reference for spectrochemical anaysis including air analysis.