A new version of the program fitter for fitting atomic hyperfine structure in optical spectra including the calculation of confidence intervals. (November 2022)

• Record Type: Journal Article
• Authors: Zeiser, Andreas; Kröger, Sophie; Pooyan-Weis, Ladan; Windholz, Laurentius; Guthöhrlein, Günter
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 290(2022)
• Publication Date: 2022-11
• Subjects: Atomic spectra -- Hyperfine structure -- Spectral line profiles; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2022.108294
• Languages: English
• ISSNs: 0022-4073

Abstract

Highlights: Computation of confidence intervals for physical parameters in a non-linear regression of spectroscopic data. Application of statistical methods based on the linearization of the non-linear optimization problem. Extension of a computer program that has been used successfully for many years for determination of physical parameters characterizing the atomic hyperfine structure. Brief overview of the theoretical basics. Demonstration of application with an example. Abstract: The program FITTER, which has been used successfully for many years to analyze the hyperfine structure in atomic and ionic spectra, has been extended. Confidence intervals for all adjusted parameters are now calculated, adding essential information to the results. A brief overview of the theoretical basics of hyperfine structure is given, the calculation of the confidence intervals is presented and the application is discussed using an example.