Tables of Einstein coefficients and lifetimes of upper rovibronic levels for Q-branch lines of the the $d^3\Pi_u^- - a^3\Sigma_g^+$ bands for the $H_2$, HD, $D_2$, and $T_2$ molecules

TL;DR

This paper provides semi-empirical calculations of Einstein coefficients and lifetimes for rovibronic levels in diatomic hydrogen isotopologues, based on experimental data and theoretical models, including new lifetime estimates for specific levels.

Contribution

It introduces a semi-empirical method combining experimental data and theoretical models to determine transition probabilities and lifetimes for hydrogen molecules, including new lifetime estimates for certain levels.

Findings

Tabulated Einstein coefficients and lifetimes for vibrational levels v=0-7.

Uncertainties listed for all data points.

First lifetime estimates for specific levels involving predissociation.

Abstract

The present work reports results of the semi-empirical determination of the spontaneous emission transition probabilities (Einstein coefficients) for Q-branch lines of Fulcher-$\alpha$ band system and radiative lifetimes of upper electronic-vibro-rotational (rovibronic) levels for the most important isotopologues of diatomic hydrogen. They are based on an adiabatic theoretical model and all currently available experimental data on rovibronic energy levels, ratios of the line strengths and the lifetimes. Numerical data are presented in tabular format for vibrational quantum numbers v=0-7 (N is the quantum number of total angular momentum of the molecule excluding electron and nuclear spins). The uncertainties (one SD) of experimental and semi-empirical data are listed for each datum. Currently available results of ab initio calculations are listed and may be used for comparisons. For the $d^3\Pi_u^-$,v=4-6,N=1 levels of the $H_2$ molecule the lifetimes caused by predissociation via non-adiabatic interaction with continuum of the $c^3\Pi_u^-$ electronic state were estimated for the first time in the basis of experimental and semiempirical data.