{"title":"Analytical Model of Atom Ejection from the Ni (111) Surface in an Asymmetric Direction Relative to the Lens Center","authors":"A. I. Musin, V. N. Samoilov, P. V. Aristarkhov","doi":"10.1134/S1027451026700783","DOIUrl":null,"url":null,"abstract":"<p>The paper proposes an analytical model of atom ejection during sputtering from the surface of a Ni (111) single crystal in an asymmetric direction relative to the center of the lens consisting of two nearest surface atoms. The interaction of atoms is described using the hard-sphere approximation with a diameter dependent on the initial energy of the ejected atom. Criteria are obtained that allow one to determine the number of collisions with lens atoms (0, 1, or 2), as well as analytical expressions for the energy, polar and azimuthal angles of an atom after collisions, including after crossing a plane potential barrier. The results demonstrate that the polar angle blocking effect and the azimuthal angle focusing and overfocusing effects significantly affect the formation of angular and energy distributions of sputtered atoms.</p>","PeriodicalId":671,"journal":{"name":"Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques","volume":"20 2","pages":"347 - 355"},"PeriodicalIF":0.4000,"publicationDate":"2026-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1027451026700783","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
Abstract
The paper proposes an analytical model of atom ejection during sputtering from the surface of a Ni (111) single crystal in an asymmetric direction relative to the center of the lens consisting of two nearest surface atoms. The interaction of atoms is described using the hard-sphere approximation with a diameter dependent on the initial energy of the ejected atom. Criteria are obtained that allow one to determine the number of collisions with lens atoms (0, 1, or 2), as well as analytical expressions for the energy, polar and azimuthal angles of an atom after collisions, including after crossing a plane potential barrier. The results demonstrate that the polar angle blocking effect and the azimuthal angle focusing and overfocusing effects significantly affect the formation of angular and energy distributions of sputtered atoms.
期刊介绍：
Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques publishes original articles on the topical problems of solid-state physics, materials science, experimental techniques, condensed media, nanostructures, surfaces of thin films, and phase boundaries: geometric and energetical structures of surfaces, the methods of computer simulations; physical and chemical properties and their changes upon radiation and other treatments; the methods of studies of films and surface layers of crystals (XRD, XPS, synchrotron radiation, neutron and electron diffraction, electron microscopic, scanning tunneling microscopic, atomic force microscopic studies, and other methods that provide data on the surfaces and thin films). Articles related to the methods and technics of structure studies are the focus of the journal. The journal accepts manuscripts of regular articles and reviews in English or Russian language from authors of all countries. All manuscripts are peer-reviewed.
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