{"title":"The Thomas-Kuhn-Reiche sum rule for bound electrons of ions in warm dense plasmas","authors":"Yair Kurzweil","doi":"10.1016/j.hedp.2024.101098","DOIUrl":null,"url":null,"abstract":"<div><p>The Thomas-Kuhn-Reiche oscillator strength sum rule is analyzed for the case of ionized atoms in warm dense plasmas: The statistical summation of the bound-bound and the bound-free oscillator strength is proportional to the average bound electrons. This sum rule is checked for approximated absorption spectra like the detailed line accounting, detailed configurations accounting, the super transition arrays and the average atom using the CRSTA code. We show that the sum rule is properly satisfied for various elements in ranges of temperature-density that have sufficient bound orbitals. On the other hand, for the cases of few bound orbitals, the sum-rule is poorly satisfied, like in the case of high density and low temperature.</p></div>","PeriodicalId":49267,"journal":{"name":"High Energy Density Physics","volume":"51 ","pages":"Article 101098"},"PeriodicalIF":1.6000,"publicationDate":"2024-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"High Energy Density Physics","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1574181824000235","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
Abstract
The Thomas-Kuhn-Reiche oscillator strength sum rule is analyzed for the case of ionized atoms in warm dense plasmas: The statistical summation of the bound-bound and the bound-free oscillator strength is proportional to the average bound electrons. This sum rule is checked for approximated absorption spectra like the detailed line accounting, detailed configurations accounting, the super transition arrays and the average atom using the CRSTA code. We show that the sum rule is properly satisfied for various elements in ranges of temperature-density that have sufficient bound orbitals. On the other hand, for the cases of few bound orbitals, the sum-rule is poorly satisfied, like in the case of high density and low temperature.
期刊介绍:
High Energy Density Physics is an international journal covering original experimental and related theoretical work studying the physics of matter and radiation under extreme conditions. ''High energy density'' is understood to be an energy density exceeding about 1011 J/m3. The editors and the publisher are committed to provide this fast-growing community with a dedicated high quality channel to distribute their original findings.
Papers suitable for publication in this journal cover topics in both the warm and hot dense matter regimes, such as laboratory studies relevant to non-LTE kinetics at extreme conditions, planetary interiors, astrophysical phenomena, inertial fusion and includes studies of, for example, material properties and both stable and unstable hydrodynamics. Developments in associated theoretical areas, for example the modelling of strongly coupled, partially degenerate and relativistic plasmas, are also covered.