Review of Rydberg Spectral Line Formation in Plasmas

The present review is dedicated to the problem of an array of transitions between highly-excited atomic levels. Hydrogen atoms and hydrogen-like ions in plasmas are considered here. The presented methods focus on calculation of spectral line shapes. Fast and simple methods of universal ionic profile...

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Main Authors: Andrey Yu. Letunov, Valery S. Lisitsa
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Atoms
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Online Access:https://www.mdpi.com/2218-2004/11/10/133
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author Andrey Yu. Letunov
Valery S. Lisitsa
author_facet Andrey Yu. Letunov
Valery S. Lisitsa
author_sort Andrey Yu. Letunov
collection DOAJ
description The present review is dedicated to the problem of an array of transitions between highly-excited atomic levels. Hydrogen atoms and hydrogen-like ions in plasmas are considered here. The presented methods focus on calculation of spectral line shapes. Fast and simple methods of universal ionic profile calculation for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula>) spectral lines are demonstrated. The universal dipole matrix elements formulas for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> transitions are presented. A fast method for spectral line shape calculations in the presence of an external magnetic field using the formulas for universal dipole matrix elements is proposed. This approach accounts for the Doppler and Stark–Zeeman broadening mechanisms. Ion dynamics effects are treated via the frequency fluctuation model. The accuracy of the presented model is discussed. A comparison of this approach with experimental data and the results of molecular dynamics simulation is demonstrated. The kinetics equation for the populations of highly-excited ionic states is solved in the parabolic representation. The population source associated with dielectronic recombination is considered.
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spelling doaj.art-819475b0868749c0805caea53d64b1b62023-11-19T15:37:23ZengMDPI AGAtoms2218-20042023-10-01111013310.3390/atoms11100133Review of Rydberg Spectral Line Formation in PlasmasAndrey Yu. Letunov0Valery S. Lisitsa1FSUE ≪RFNC-VNIITF Named after Academ E.I. Zababakhin≫, 456770 Snezhinsk, RussiaInstitute for Laser and Plasma Technologies, National Research Nuclear University MEPhI, 115409 Moscow, RussiaThe present review is dedicated to the problem of an array of transitions between highly-excited atomic levels. Hydrogen atoms and hydrogen-like ions in plasmas are considered here. The presented methods focus on calculation of spectral line shapes. Fast and simple methods of universal ionic profile calculation for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>1</mn></mrow></semantics></math></inline-formula>) and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="sans-serif">Δ</mi><mi>n</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula>) spectral lines are demonstrated. The universal dipole matrix elements formulas for the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>α</mi></mrow></msub></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mrow><mi>n</mi><mi>β</mi></mrow></msub></semantics></math></inline-formula> transitions are presented. A fast method for spectral line shape calculations in the presence of an external magnetic field using the formulas for universal dipole matrix elements is proposed. This approach accounts for the Doppler and Stark–Zeeman broadening mechanisms. Ion dynamics effects are treated via the frequency fluctuation model. The accuracy of the presented model is discussed. A comparison of this approach with experimental data and the results of molecular dynamics simulation is demonstrated. The kinetics equation for the populations of highly-excited ionic states is solved in the parabolic representation. The population source associated with dielectronic recombination is considered.https://www.mdpi.com/2218-2004/11/10/133Stark–Zeeman effectRydberg atomplasma spectroscopy
spellingShingle Andrey Yu. Letunov
Valery S. Lisitsa
Review of Rydberg Spectral Line Formation in Plasmas
Atoms
Stark–Zeeman effect
Rydberg atom
plasma spectroscopy
title Review of Rydberg Spectral Line Formation in Plasmas
title_full Review of Rydberg Spectral Line Formation in Plasmas
title_fullStr Review of Rydberg Spectral Line Formation in Plasmas
title_full_unstemmed Review of Rydberg Spectral Line Formation in Plasmas
title_short Review of Rydberg Spectral Line Formation in Plasmas
title_sort review of rydberg spectral line formation in plasmas
topic Stark–Zeeman effect
Rydberg atom
plasma spectroscopy
url https://www.mdpi.com/2218-2004/11/10/133
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