Nonrelativistic calculation of wavelengths for elements Z = (17–77)

IF 0.4 4区 物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY
Lubna H. Ismael, Zeena H. Salih, Ziad T. Ahmad
{"title":"Nonrelativistic calculation of wavelengths for elements Z = (17–77)","authors":"Lubna H. Ismael,&nbsp;Zeena H. Salih,&nbsp;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.

Z元素波长的非相对论计算 = (17-77)
在本理论研究中,计算了原子序数为Z =(17-77)的元素的非相对论性X射线波长,其中与所研究的每个原子相关的势是通过减少与中心势相关的非相对论性能量来计算的,中心势计算了能量值。由变分技术得到的最优中心势得到一个可以对每个原子进行数值求解的积分方程。在目前的计算和非相对论的Hartree-Fock计算之间观察到很好的一致性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Russian Physics Journal
Russian Physics Journal PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.00
自引率
50.00%
发文量
208
审稿时长
3-6 weeks
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.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信