{"title":"Calculation of the Matrix Elements of the Long-Range Coulomb Interaction Comparison of the GTO and STO Approaches","authors":"O. A. Anikeenok","doi":"10.1007/s00723-024-01659-7","DOIUrl":null,"url":null,"abstract":"<div><p>A method for calculating the matrix elements of the long-range Coulomb interaction is proposed. The method is based on the Slater-type orbitals (STO) of ions forming an infinite crystal lattice. One-center matrix elements of the Coulomb interaction of an electron of a selected ion with a crystal lattice taken in the ionic approximation are considered. All obtained expressions are absolutely and rapidly convergent series in the space of reciprocal lattice vectors. The STO method is compared with the Gaussian-type orditals method and is illustrated by examples.</p></div>","PeriodicalId":469,"journal":{"name":"Applied Magnetic Resonance","volume":"55 6","pages":"615 - 627"},"PeriodicalIF":1.1000,"publicationDate":"2024-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Magnetic Resonance","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00723-024-01659-7","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, ATOMIC, MOLECULAR & CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
A method for calculating the matrix elements of the long-range Coulomb interaction is proposed. The method is based on the Slater-type orbitals (STO) of ions forming an infinite crystal lattice. One-center matrix elements of the Coulomb interaction of an electron of a selected ion with a crystal lattice taken in the ionic approximation are considered. All obtained expressions are absolutely and rapidly convergent series in the space of reciprocal lattice vectors. The STO method is compared with the Gaussian-type orditals method and is illustrated by examples.
期刊介绍：
Applied Magnetic Resonance provides an international forum for the application of magnetic resonance in physics, chemistry, biology, medicine, geochemistry, ecology, engineering, and related fields.
The contents include articles with a strong emphasis on new applications, and on new experimental methods. Additional features include book reviews and Letters to the Editor.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
