Neutron magnetic structure revisited: Insights from Patterson function analysis | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Neutron magnetic structure revisited: Insights from Patterson function analysis Pui Sum Yuen This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7422459/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this study, we revisit the neutron’s internal magnetic distribution using the Patterson function—a model-independent tool traditionally employed in crystallography and charge density analysis. By adapting this method to magnetic form factors, we provide an approach to uncover spatial correlations within the neutron’s magnetization density and offer new interpretations of its internal structure. While the magnetization density itself is not directly obtained, our framework enables its potential reconstruction via deconvolution of the Patterson magnetization density, constrained by the total magnetic moment of − 1.91 nuclear magnetons. Nuclear Physics Neutron structure magnetic radius Patterson function magnetic form factor deconvolution nuclear physics magnetization density distribution Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7422459","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":503606341,"identity":"1d26093e-7063-4ac7-9402-51ad0223c7d1","order_by":0,"name":"Pui Sum Yuen","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAUlEQVRIiWNgGAWjYFACxgYog/kAiOQhRQtbAgNDAkgLM9HW8RiAtDAQ1GIukdz8mTfncGK/dM+3Bx9/HJaRdz9/8HEFg52cbgN2LZYzEtukebcdTpw55+x2wxkJh3kMzyQzG55hSDY2O4Bdi8GNxDZmkJYNN3K3SfMkpPEYNiSzSTYwHEjchlsL0GFALftv5DyT/gPS0v+YoJYGsMM2SOSwSTMk2PDISxCwxbLnYZvk3G3pxjNupJlJ9qTZ8BhIPDY2bDDA7Rdz9vTHH95us5btn5H8TOKHjYS9fH/iw4cNFXZyOL0PoZqRRA4giePRUocQkW/ArXoUjIJRMApGJgAATONdnW9BtzkAAAAASUVORK5CYII=","orcid":"https://orcid.org/0000-0002-2352-3993","institution":"Nil. I am an independent researcher","correspondingAuthor":true,"prefix":"","firstName":"Pui","middleName":"Sum","lastName":"Yuen","suffix":""}],"badges":[],"createdAt":"2025-08-21 05:37:50","currentVersionCode":1,"declarations":{"humanSubjects":false,"vertebrateSubjects":false,"conflictsOfInterestStatement":false,"humanSubjectEthicalGuidelines":false,"humanSubjectConsent":false,"humanSubjectClinicalTrial":false,"humanSubjectCaseReport":false,"vertebrateSubjectEthicalGuidelines":false},"doi":"10.21203/rs.3.rs-7422459/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-7422459/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":89652598,"identity":"fa2753f3-bb9f-472e-a266-61bc8a211ceb","added_by":"auto","created_at":"2025-08-22 09:58:15","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":902570,"visible":true,"origin":"","legend":"","description":"","filename":"Pattersonmagnetizationdensityofneutron.pdf","url":"https://assets-eu.researchsquare.com/files/rs-7422459/v1_covered_4972083e-ba26-4aba-a733-3ccb7d3bfdd0.pdf"}],"financialInterests":"The authors declare no competing interests.","formattedTitle":"\u003cp\u003eNeutron magnetic structure revisited: Insights from Patterson function analysis\u003c/p\u003e","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":true,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true},"keywords":"Neutron structure, magnetic radius, Patterson function, magnetic form factor, deconvolution, nuclear physics, magnetization density distribution","lastPublishedDoi":"10.21203/rs.3.rs-7422459/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-7422459/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eIn this study, we revisit the neutron\u0026rsquo;s internal magnetic distribution using the Patterson function\u0026mdash;a model-independent tool traditionally employed in crystallography and charge density analysis. By adapting this method to magnetic form factors, we provide an approach to uncover spatial correlations within the neutron\u0026rsquo;s magnetization density and offer new interpretations of its internal structure. While the magnetization density itself is not directly obtained, our framework enables its potential reconstruction via deconvolution of the Patterson magnetization density, constrained by the total magnetic moment of \u0026minus;\u0026thinsp;1.91 nuclear magnetons.\u003c/p\u003e","manuscriptTitle":"Neutron magnetic structure revisited: Insights from Patterson function analysis","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-08-22 09:50:09","doi":"10.21203/rs.3.rs-7422459/v1","editorialEvents":[{"type":"communityComments","content":0}],"status":"published","journal":{"display":true,"email":"
[email protected]","identity":"researchsquare","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":true,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"/submission","title":"Research Square","twitterHandle":"researchsquare","acdcEnabled":true,"dfaEnabled":false,"editorialSystem":"","reportingPortfolio":"","inReviewEnabled":false,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"09309fde-96f3-4fc2-a837-e3b9286d5b58","owner":[],"postedDate":"August 22nd, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":53503206,"name":"Nuclear Physics"}],"tags":[],"updatedAt":"2025-08-22T09:50:09+00:00","versionOfRecord":[],"versionCreatedAt":"2025-08-22 09:50:09","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-7422459","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-7422459","identity":"rs-7422459","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}
Text is read by the "Ask this paper" AI Q&A widget below.
Extraction quality varies by source — PMC NXML preserves structure
cleanly, OA-HTML may include some navigation residue, and OA-PDF can
have broken hyphenation. The publisher copy
(via DOI)
is the canonical version.