{"title":"Nonrelativistic calculation of wavelengths for elements Z = (17–77)","authors":"Lubna H. Ismael, Zeena H. Salih, Ziad T. Ahmad","doi":"10.1007/s11182-025-03533-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this theoretical study, the nonrelativistic X‑ray wavelengths were calculated for elements with atomic numbers <i>Z</i> = (17–77), where the potential associated with each atom under study was calculated by reducing the nonrelativistic energy with regards to the central potential where the energy values were calculated. The optimal central potential obtained by the variational technique yields an integral equation that can be solved numerically for each atom. Good agreement is observed between the present calculations and the nonrelativistic Hartree–Fock calculations.</p></div>","PeriodicalId":770,"journal":{"name":"Russian Physics Journal","volume":"68 7","pages":"1079 - 1087"},"PeriodicalIF":0.4000,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Physics Journal","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11182-025-03533-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this theoretical study, the nonrelativistic X‑ray wavelengths were calculated for elements with atomic numbers Z = (17–77), where the potential associated with each atom under study was calculated by reducing the nonrelativistic energy with regards to the central potential where the energy values were calculated. The optimal central potential obtained by the variational technique yields an integral equation that can be solved numerically for each atom. Good agreement is observed between the present calculations and the nonrelativistic Hartree–Fock calculations.
期刊介绍:
Russian Physics Journal covers the broad spectrum of specialized research in applied physics, with emphasis on work with practical applications in solid-state physics, optics, and magnetism. Particularly interesting results are reported in connection with: electroluminescence and crystal phospors; semiconductors; phase transformations in solids; superconductivity; properties of thin films; and magnetomechanical phenomena.