Ideas and Tools for Error Detection in Opacity Databases
In this article, we propose several ideas and tools in order to check the reliability of radiative opacity and atomic physics databases. We first emphasize that it can be useful to verify that mathematical inequalities, which impose lower and upper bounds on the Rosseland and/or Planck mean opacitie...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Atoms |
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| Online Access: | https://www.mdpi.com/2218-2004/11/2/27 |
| _version_ | 1797622432088981504 |
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| author | Jean-Christophe Pain Patricia Croset |
| author_facet | Jean-Christophe Pain Patricia Croset |
| author_sort | Jean-Christophe Pain |
| collection | DOAJ |
| description | In this article, we propose several ideas and tools in order to check the reliability of radiative opacity and atomic physics databases. We first emphasize that it can be useful to verify that mathematical inequalities, which impose lower and upper bounds on the Rosseland and/or Planck mean opacities, are satisfied, either for pure elements or mixtures. In the second part, we discuss the intriguing law of anomalous numbers, also named Benford’s law, which enables one to detect errors in line-strength collections, required in order to perform fine-structure calculations. Finally, we point out and illustrate the importance of quantifying the uncertainties due to interpolations in the density-temperature opacity (or more generally atomic-data) tables and performing convergence checks, which are crucial in the accuracy-completeness compromise inherent in opacity computations. |
| first_indexed | 2024-03-11T09:10:11Z |
| format | Article |
| id | doaj.art-a03b13e5a8cc44458e5f6e74fa2fc1c0 |
| institution | Directory Open Access Journal |
| issn | 2218-2004 |
| language | English |
| last_indexed | 2024-03-11T09:10:11Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Atoms |
| spelling | doaj.art-a03b13e5a8cc44458e5f6e74fa2fc1c02023-11-16T19:04:47ZengMDPI AGAtoms2218-20042023-02-011122710.3390/atoms11020027Ideas and Tools for Error Detection in Opacity DatabasesJean-Christophe Pain0Patricia Croset1CEA, DAM, DIF, F-91297 Arpajon, FranceCEA, DAM, DIF, F-91297 Arpajon, FranceIn this article, we propose several ideas and tools in order to check the reliability of radiative opacity and atomic physics databases. We first emphasize that it can be useful to verify that mathematical inequalities, which impose lower and upper bounds on the Rosseland and/or Planck mean opacities, are satisfied, either for pure elements or mixtures. In the second part, we discuss the intriguing law of anomalous numbers, also named Benford’s law, which enables one to detect errors in line-strength collections, required in order to perform fine-structure calculations. Finally, we point out and illustrate the importance of quantifying the uncertainties due to interpolations in the density-temperature opacity (or more generally atomic-data) tables and performing convergence checks, which are crucial in the accuracy-completeness compromise inherent in opacity computations.https://www.mdpi.com/2218-2004/11/2/27radiative opacitydatabaseserror detectionopacity boundsmathematical inequalitiesThomas–Reiche–Kuhn sum rule |
| spellingShingle | Jean-Christophe Pain Patricia Croset Ideas and Tools for Error Detection in Opacity Databases Atoms radiative opacity databases error detection opacity bounds mathematical inequalities Thomas–Reiche–Kuhn sum rule |
| title | Ideas and Tools for Error Detection in Opacity Databases |
| title_full | Ideas and Tools for Error Detection in Opacity Databases |
| title_fullStr | Ideas and Tools for Error Detection in Opacity Databases |
| title_full_unstemmed | Ideas and Tools for Error Detection in Opacity Databases |
| title_short | Ideas and Tools for Error Detection in Opacity Databases |
| title_sort | ideas and tools for error detection in opacity databases |
| topic | radiative opacity databases error detection opacity bounds mathematical inequalities Thomas–Reiche–Kuhn sum rule |
| url | https://www.mdpi.com/2218-2004/11/2/27 |
| work_keys_str_mv | AT jeanchristophepain ideasandtoolsforerrordetectioninopacitydatabases AT patriciacroset ideasandtoolsforerrordetectioninopacitydatabases |