Predicting Mechanical Properties of Non-Equimolar High-Entropy Carbides using Machine Learning | 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 Article Predicting Mechanical Properties of Non-Equimolar High-Entropy Carbides using Machine Learning Xi Zhao, Xi Zhao, Shuguang Cheng, Shuguang Cheng, Sen Yu, Sen Yu, and 6 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-4308682/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 High-entropy carbides (HECs) have garnered significant attention due to their unique mechanic properties. However, the design of novel HECs has been limited by extensive trial-and-error strategies, along with insufficient knowledge and computational capabilities. In this work, the intrinsic correlations between elements in the high-dimensional compositional space of HECs are investigated using high-throughput density functional theory calculations and two machine learning models, which enable us to predict the Young's modulus, hardness and wear resistance only using a chemical formula. Our models demonstrate low root mean square error (11.5GPa) and mean absolute errors (9.0GPa) in predicting the mechanic properties of HECs with arbitrary non-equimolar compositions. We further establish a database of 566,370 HECs and identified 15 novel HECs with best mechanical properties. Our models can rapidly explore the mechanical properties of HECs with descriptor-property correlation analysis, and hence provide an efficient method for accelerating the design of non-equimolar high-entropy materials with desired performance. Physical sciences/Materials science/Structural materials/Ceramics Physical sciences/Materials science/Theory and computation Physical sciences/Materials science/Structural materials/Ceramics Physical sciences/Materials science/Theory and computation High-entropy carbides (HECs) High-throughput density functional theory calculation (HT-DFT) Machine Learning (ML) Mechanical properties Full Text Additional Declarations (Not answered) Supplementary Files SupplementaryInformation.pdf 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-4308682","acceptedTermsAndConditions":true,"allowDirectSubmit":true,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":298272006,"identity":"9764a63b-b88c-4bed-a228-5304bcb0d8e9","order_by":0,"name":"Xi Zhao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVRIiWNgGAWjYDACCQjJww/lykDFmQlrkWxghjCI1cLAYHAAooiwFvnZzQ8fMLZZyBifP39M6kaNBQ+DdI+ZBEOFdWID+9kD2LQwzjlmbMBwRoLH7EYym3TOMaDDZM4AtZxJT2zgyUvApoVZIgFkJkgLM1ALG1CLRO42Cca2w4kNEjwG2LSwSaR/k2AwkOAx7j8M1PIPpuUfbi08EjkQWwwYgA7LbYNpacCtRUIipxjsF4kbycbWuX0SPGwS+Z8tEo6lG7fx5GDVIj8jfSMwxOrs+fsPPryd861Ojl8iLfHGhxpr2X72M1i1gIPgD4rvQEQCjDEKRsEoGAWjgCwAAGvgSVqbGdyDAAAAAElFTkSuQmCC","orcid":"","institution":"Northwest University","correspondingAuthor":true,"prefix":"","firstName":"Xi","middleName":"","lastName":"Zhao","suffix":""},{"id":298272042,"identity":"45e613d1-4e99-4e4c-96e1-5ffe5d63ba09","order_by":0,"name":"Xi Zhao","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAklEQVRIiWNgGAWjYDACCQjJww/lykDFmQlrkWxghjCI1cLAYHAAooiwFvnZzQ8fMLZZyBifP39M6kaNBQ+DdI+ZBEOFdWID+9kD2LQwzjlmbMBwRoLH7EYym3TOMaDDZM4AtZxJT2zgyUvApoVZIgFkJkgLM1ALG1CLRO42Cca2w4kNEjwG2LSwSaR/k2AwkOAx7j8M1PIPpuUfbi08EjkQWwwYgA7LbYNpacCtRUIipxjsF4kbycbWuX0SPGwS+Z8tEo6lG7fx5GDVIj8jfSMwxOrs+fsPPryd861Ojl8iLfHGhxpr2X72M1i1gIPgD4rvQEQCjDEKRsEoGAWjgCwAAGvgSVqbGdyDAAAAAElFTkSuQmCC","orcid":"","institution":"Northwest University","correspondingAuthor":true,"prefix":"","firstName":"Xi","middleName":"","lastName":"Zhao","suffix":""},{"id":298272021,"identity":"86b8eee6-46e5-48b1-9199-ccfef458267b","order_by":1,"name":"Shuguang Cheng","email":"","orcid":"","institution":"Northwest University","correspondingAuthor":false,"prefix":"","firstName":"Shuguang","middleName":"","lastName":"Cheng","suffix":""},{"id":298272044,"identity":"244d02a6-93ee-42f1-a84c-37789b4049e1","order_by":1,"name":"Shuguang Cheng","email":"","orcid":"","institution":"Northwest University","correspondingAuthor":false,"prefix":"","firstName":"Shuguang","middleName":"","lastName":"Cheng","suffix":""},{"id":298272022,"identity":"c1adacca-2ac0-4367-83ba-aef9bb31f101","order_by":2,"name":"Sen Yu","email":"","orcid":"","institution":"Northwest Institute for Nonferrous Metal Research","correspondingAuthor":false,"prefix":"","firstName":"Sen","middleName":"","lastName":"Yu","suffix":""},{"id":298272048,"identity":"245b4c4e-a3d6-4a7e-b8e4-9d94d7f81ad1","order_by":2,"name":"Sen Yu","email":"","orcid":"","institution":"Northwest Institute for Nonferrous Metal Research","correspondingAuthor":false,"prefix":"","firstName":"Sen","middleName":"","lastName":"Yu","suffix":""},{"id":298272023,"identity":"31015822-5ec0-4043-88ef-f77fe86fb6e0","order_by":3,"name":"Jiming Zheng","email":"","orcid":"","institution":"Northwest University","correspondingAuthor":false,"prefix":"","firstName":"Jiming","middleName":"","lastName":"Zheng","suffix":""},{"id":298272050,"identity":"20d6844f-2d1c-47d6-8f75-6deadaa24f8c","order_by":3,"name":"Jiming Zheng","email":"","orcid":"","institution":"Northwest University","correspondingAuthor":false,"prefix":"","firstName":"Jiming","middleName":"","lastName":"Zheng","suffix":""},{"id":298272024,"identity":"b89f75b2-25e9-4d9a-8bd4-1d47c028e20e","order_by":4,"name":"Ruizhi Zhang","email":"","orcid":"","institution":"Jinan Institute of Supercomputing Technology","correspondingAuthor":false,"prefix":"","firstName":"Ruizhi","middleName":"","lastName":"Zhang","suffix":""},{"id":298272052,"identity":"3bc5180a-b9c6-4696-a775-f30fd61b0b09","order_by":4,"name":"Ruizhi Zhang","email":"","orcid":"","institution":"Jinan Institute of Supercomputing Technology","correspondingAuthor":false,"prefix":"","firstName":"Ruizhi","middleName":"","lastName":"Zhang","suffix":""},{"id":298272031,"identity":"94611564-dcc8-4c0c-bdd8-4a31edf3d1be","order_by":5,"name":"Meng Guo","email":"","orcid":"","institution":"Jinan Institute of Supercomputing Technology","correspondingAuthor":false,"prefix":"","firstName":"Meng","middleName":"","lastName":"Guo","suffix":""},{"id":298272061,"identity":"0700a7dd-8f27-40ac-a313-fa1679c3f2c1","order_by":5,"name":"Meng Guo","email":"","orcid":"","institution":"Jinan Institute of Supercomputing Technology","correspondingAuthor":false,"prefix":"","firstName":"Meng","middleName":"","lastName":"Guo","suffix":""}],"badges":[],"createdAt":"2024-04-23 02:05:31","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-4308682/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-4308682/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":58024209,"identity":"6d5b326d-7f41-4a7d-ab51-ec8e797f09a3","added_by":"auto","created_at":"2024-06-10 06:03:20","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1166494,"visible":true,"origin":"","legend":"","description":"","filename":"Manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4308682/v1_covered_b0bddb70-1dcd-4187-967f-ce2430bdcb79.pdf"},{"id":56140246,"identity":"df363d3a-abfa-497d-bde8-f2ac18db61cf","added_by":"auto","created_at":"2024-05-09 04:10:00","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":539235,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cbr\u003e\u003c/p\u003e","description":"","filename":"SupplementaryInformation.pdf","url":"https://assets-eu.researchsquare.com/files/rs-4308682/v1/4d08011c9f60ac230388f14d.pdf"}],"financialInterests":"(Not answered)","formattedTitle":"Predicting Mechanical Properties of Non-Equimolar High-Entropy Carbides using Machine Learning","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"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":"High-entropy carbides (HECs), High-throughput density functional theory calculation (HT-DFT), Machine Learning (ML), Mechanical properties","lastPublishedDoi":"10.21203/rs.3.rs-4308682/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-4308682/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"High-entropy carbides (HECs) have garnered significant attention due to their unique mechanic properties. However, the design of novel HECs has been limited by extensive trial-and-error strategies, along with insufficient knowledge and computational capabilities. In this work, the intrinsic correlations between elements in the high-dimensional compositional space of HECs are investigated using high-throughput density functional theory calculations and two machine learning models, which enable us to predict the Young's modulus, hardness and wear resistance only using a chemical formula. Our models demonstrate low root mean square error (11.5GPa) and mean absolute errors (9.0GPa) in predicting the mechanic properties of HECs with arbitrary non-equimolar compositions. We further establish a database of 566,370 HECs and identified 15 novel HECs with best mechanical properties. Our models can rapidly explore the mechanical properties of HECs with descriptor-property correlation analysis, and hence provide an efficient method for accelerating the design of non-equimolar high-entropy materials with desired performance.","manuscriptTitle":"Predicting Mechanical Properties of Non-Equimolar High-Entropy Carbides using Machine Learning","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2024-05-09 02:20:49","doi":"10.21203/rs.3.rs-4308682/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":"0d96799e-fb30-4f74-9be8-827364be202a","owner":[],"postedDate":"May 9th, 2024","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"posted","subjectAreas":[{"id":31465312,"name":"Physical sciences/Materials science/Structural materials/Ceramics"},{"id":31465313,"name":"Physical sciences/Materials science/Theory and computation"},{"id":31465314,"name":"Physical sciences/Materials science/Structural materials/Ceramics"},{"id":31465315,"name":"Physical sciences/Materials science/Theory and computation"}],"tags":[],"updatedAt":"2024-06-10T05:55:12+00:00","versionOfRecord":[],"versionCreatedAt":"2024-05-09 02:20:49","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-4308682","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-4308682","identity":"rs-4308682","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.