Uncertainties in Atomic Data and Their Propagation Through Spectral Models. I
Abstract
We present a method for computing uncertainties in spectral models, i.e. level populations, line emissivities, and emission line ratios, based upon the propagation of uncertainties originating from atomic data. We provide analytic expressions, in the form of linear sets of algebraic equations, for the coupled uncertainties among all levels. These equations can be solved efficiently for any set of physical conditions and uncertainties in the atomic data. We illustrate our method applied to spectral models of O III and Fe II and discuss the impact of the uncertainties on atomic systems under different physical conditions. As to intrinsic uncertainties in theoretical atomic data, we propose that these uncertainties can be estimated from the dispersion in the results from various independent calculations. This technique provides excellent results for the uncertainties in A-values of forbidden transitions in [Fe II].
Cite
@article{arxiv.1301.3463,
title = {Uncertainties in Atomic Data and Their Propagation Through Spectral Models. I},
author = {Manuel A. Bautista and Vanessa Fivet and Pascal Quinet and Jay Dunn and Theodore R. Gull. Timothy R. Kallman and Claudio Mendoza},
journal= {arXiv preprint arXiv:1301.3463},
year = {2015}
}
Comments
26 pages, 10 figures. Submitted to the ApJ