UNCERTAINTIES IN ATOMIC DATA AND THEIR PROPAGATION THROUGH SPECTRAL MODELS. I

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...

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Bibliographic Details
Published in:The Astrophysical journal 2013-06, Vol.770 (1), p.1-11
Main Authors: Bautista, M A, FIVET, V, Quinet, P, Dunn, J, Gull, T R, Kallman, T R, Mendoza, C
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
DATA ANALYSIS
DATA COVARIANCES
DISPERSIONS
EMISSION
EMISSIVITY
EQUATIONS
Exact solutions
FORBIDDEN TRANSITIONS
Mathematical analysis
Mathematical models
Spectra
Spectral emissivity
Uncertainty
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Summary: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 [FeII].
ISSN:0004-637X
1538-4357
DOI:10.1088/0004-637X/770/1/15