Abstract
Quantum mechanical and classical methods for theoretical analysis of the emission spectrum due to radiative association are presented. Quantum mechanical perturbation theory is employed to obtain the spectra when the diatomic molecule HF forms by transitions within the electronic ground state and when it forms by transitions between two electronic states. We contrast these spectra with each other. The former peaks in the infrared, while the latter peaks in the ultraviolet. The classical spectrum, which concerns transitions within the electronic ground state, is also calculated and found to favorably compare with that from quantum mechanical perturbation theory. The emission stemming from resonance mediated radiative association is also discussed.
Highlights
◮ What is radiative association? ◮ How is it calculated? ◮ Formation of HF: cross sections and emission spectra
The shaded area under the emission curve corresponds to HF formation through radiative association
◮ Ev′J′ is the energy of the quasi-bound level
Summary
◮ What is radiative association? ◮ How is it calculated? ◮ Formation of HF: cross sections and emission spectra. Magnus Gustafsson (U. of Gothenburg) Radiative association emission spectrum ◮ Formation of HF: cross sections and emission spectra ◮ Laboratory measurements difficult – only done with ionic species ◮ Why theoretical study of emission spectra? E = asymptotic kinetic energy FEΛJ (R) = continuum wave function
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