Triply periodic surfaces based on metal-organic frameworks

Triply periodic surfaces based on metal-organic frameworks | 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 Triply periodic surfaces based on metal-organic frameworks Mikhail I. Smolkov, Ekaterina O. Bukhteeva, Ekaterina D. Barabanova, and 2 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7426543/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 10 Oct, 2025 Read the published version in Structural Chemistry → Version 1 posted 9 You are reading this latest preprint version Abstract With our previously developed method, we generated triply periodic surfaces (TPSs) including 131 minimal surfaces (TPMSs) using crystal structures of 937 metal-organic frameworks (MOFs) as templates. Our approach is based on the topological representation of a MOF structure as a periodic net with the subsequent construction of the natural tiling for the net and generation of TPSs/TPMSs from the faces of the tiles. The TPMSs were classified into nine topological types, three of which were previously unreported. The surfaces were optimized through smoothing and finite-thickness procedures and deposited in a database together with their topological descriptors. Being designed for practical applications, the surfaces are provided in formats compatible with additive manufacturing and standard software tools. Based on some TPMSs we fabricated periodic porous samples and experimentally showed that they can possess better mechanical properties than the corresponding bulky material. This work expands the repertoire of known minimal surfaces and bridges the gap between micro- and macrostructures in materials design and fabrication. The relations between atomic crystalline architectures and materials with regular structure including metamaterials support the ideas of generalized crystallography disseminated by Alan Mackay long ago [ 1 ]. crystal structure metal-organic framework triply periodic minimal surface natural tiling Full Text Additional Declarations No competing interests reported. Supplementary Files SupportingInformation.pdf Cite Share Download PDF Status: Published Journal Publication published 10 Oct, 2025 Read the published version in Structural Chemistry → Version 1 posted Editorial decision: Revision requested 13 Sep, 2025 Reviews received at journal 12 Sep, 2025 Reviews received at journal 07 Sep, 2025 Reviewers agreed at journal 27 Aug, 2025 Reviewers agreed at journal 22 Aug, 2025 Reviewers invited by journal 22 Aug, 2025 Editor assigned by journal 22 Aug, 2025 Submission checks completed at journal 22 Aug, 2025 First submitted to journal 21 Aug, 2025 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-7426543","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":506285579,"identity":"0278618f-7e6b-4fba-94c4-939ee998e0a0","order_by":0,"name":"Mikhail I. 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