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BOUND-BOUND AND BOUND-FREE FLUORESCENCE FROM THE $A^{1}{\Sigma^{+}}_{u}$ STATE TO THE $X^{1}{\Sigma^{+}}_{g}$ STATES IN $NA_{2}$

Warren T. Zemke, K. K. Verma, John T. Bahns, W. C. Stwalley

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Abstract

Using experimentally-based potential energy $curves^{1}$ and the theoretical transition $moment^{2}$, we report calculated bound-bound and bound-continuum radiative transition probabilities and calculated radiative lifetimes for several v', J', levels of the $A^{1}{\\Sigma^{+}}_{u}$ state in $Na_{2}$. In the case of emission from the $A^{1}{\\Sigma^{+}}_{u}$ (v' = 34, J' = 50) level, we present direct comparison with our recent laser-induced fluorescence $experiments^3$. Bound-bound Einstein A coefficients have been normalized to bound-free coefficients to show the continuity of the transition probability at the bound-continuum threshold. We demonstrate how the spectrum in the threshold vicinity provides a means to improve the value of the $X^{1}{\\Sigma^{+}}_{g}$ ground state dissociation energy.

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What this paper is about

Using experimentally-based potential energy $curves^{1}$ and the theoretical transition $moment^{2}$, we report calculated bound-bound and bound-continuum radiative transition probabilities and calculated radiative lifetimes for several v', J', levels of the $A^{1}{\\Sigma^{+}}_{u}$ state in $Na_{2}$. In the case of emission from the $A^{1}{\\Sigma^{+}}_{u}$ (v' = 34, J' = 50) level, we present direct comparison with our recent laser-induced fluorescence $experiments^3$. Bound-bound Einstein A coefficients have been normalized to bound-free coefficients to show the continuity of the transition probability at the bound-continuum threshold. We demonstrate how the spectrum in the threshold vicinity provides a means to improve the value of the $X^{1}{\\Sigma^{+}}_{g}$ ground state dissociation energy.

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Available abstract

Using experimentally-based potential energy $curves^{1}$ and the theoretical transition $moment^{2}$, we report calculated bound-bound and bound-continuum radiative transition probabilities and calculated radiative lifetimes for several v', J', levels of the $A^{1}{\\Sigma^{+}}_{u}$ state in $Na_{2}$. In the case of emission from the $A^{1}{\\Sigma^{+}}_{u}$ (v' = 34, J' = 50) level, we present direct comparison with our recent laser-induced fluorescence $experiments^3$. Bound-bound Einstein A coefficients have been normalized to bound-free coefficients to show the continuity of the transition probability at the bound-continuum threshold. We demonstrate how the spectrum in the threshold vicinity provides a means to improve the value of the $X^{1}{\\Sigma^{+}}_{g}$ ground state dissociation energy.

Key concepts: Sigma, Physics, State (computer science), Upper and lower bounds, Fluorescence, Bound state, Quantum mechanics, Mathematics

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BOUND-BOUND AND BOUND-FREE FLUORESCENCE FROM THE $A^{1}{\Sigma^{+}}_{u}$ STATE TO THE $X^{1}{\Sigma^{+}}_{g}$ STATES IN $NA_{2}$ — Research Paper | ScholarLens