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0-26.741-21.543-14.142-34.142l128.662-128.662c7.81-7.81 20.474-7.81 28.284 0l128.662 128.662c12.6 12.599 3.676 34.142-14.142 34.142z"></path></svg></button></li></ul></li></ul></div> <script src="//a.academia-assets.com/assets/webpack_bundles/fast_loswp-bundle-5a6217ebba1e3e193cb1032ca4e3bea5eb426dd3928dd536d7bf14b642b1cd3a.js" defer="defer"></script><script>window.loswp = {}; window.loswp.author = 42246372; window.loswp.bulkDownloadFilterCounts = {}; window.loswp.hasDownloadableAttachment = true; window.loswp.hasViewableAttachments = true; // TODO: just use routes for this window.loswp.loginUrl = "https://www.academia.edu/login?post_login_redirect_url=https%3A%2F%2Fwww.academia.edu%2F21236188%2FA_geometric_constraint_the_head_to_tail_exclusion_rule_may_be_the_basis_for_the_isolated_pentagon_rule_in_fullerenes_with_more_than_60_vertices%3Fauto%3Ddownload"; window.loswp.translateUrl = 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Carbon atoms self-assemble into larger (n \u003e 60 vertices) empty cages as well-but only the few that obey the IPR-and at least 1 small fullerene (n \u003c 60) with adjacent pentagons. Clathrin protein also self-assembles into small fullerene cages with adjacent pentagons, but just a few of those. We asked why carbon atoms and clathrin proteins self-assembled into just those IPR and small cage isomers. In answer, we described a geometric constraint-the head-to-tail exclusion rule-that permits self-assembly of just the following fullerene cages: among the 5,769 possible small cages (n \u003c 60 vertices) with adjacent pentagons, only 15; the soccer ball (n ‫؍‬ 60); and among the 216,739 large cages with 60 \u003c n \u003c 84 vertices, only the 50 IPR ones. The last finding was a complete surprise. Here, by showing that the largest permitted fullerene with adjacent pentagons is one with 60 vertices and a ring of interleaved hexagons and pentagon pairs, we prove that for all n \u003e 60, the head-to-tail exclusion rule permits only (and all) fullerene cages and nanotubes that obey the IPR. We therefore suggest that self-assembly that obeys the IPR may be explained by the head-to-tail exclusion rule, a geometric constraint.","publication_date":"2008,9,12","publication_name":"Proceedings of the National Academy of Sciences of the United States of America","grobid_abstract_attachment_id":"41775782"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"A geometric constraint, the head-to-tail exclusion rule, may be the basis for the isolated-pentagon rule in fullerenes with more than 60 vertices","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [42246372]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "full_page_mobile_sutd_modal"; window.loswp.useOptimizedScribd4genScript = false; window.loswp.appleClientId = 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src="//a.academia-assets.com/images/s65_no_pic.png" />Stan Schein</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2008, Proceedings of the National Academy of Sciences of the United States of America</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">6 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 21236188; const worksViewsPath = "/v0/works/views?subdomain_param=api&work_ids%5B%5D=21236188"; 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class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Self-assembly of tubular fullerenes","attachmentId":48450212,"attachmentType":"pdf","work_url":"https://www.academia.edu/7496750/Self_assembly_of_tubular_fullerenes","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/7496750/Self_assembly_of_tubular_fullerenes"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="79880746" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/79880746/Assembly_of_Fullerene_Fine_Crystals_Fabrication_of_1D_2D_and_3D_Structures_from_0D_Fullerene">Assembly of Fullerene Fine Crystals: Fabrication of 1D, 2D and 3D Structures from 0D Fullerene</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="103492860" href="https://independent.academia.edu/DorraMahdaoui">Dorra Mahdaoui</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2022</p><p class="ds-related-work--abstract ds2-5-body-sm">Fullerene molecules with closed cage structures, extended π systems, excellent mechanical and photochemical stability and unique semiconducting properties are ideal blocks to construct various supramolecular assemblies and functional materials. Furthermore, zero- dimensional fullerene molecules with only a single elemental component, carbon, without any charged or interactive functional groups are excellent units for self assembly. Researches on fullerene micro and nanostructures, especially crystallization of fullerene molecules into ordered molecular assemblies have grown rapidly during recent years. In this short review, we introduce various examples of self assembled fullerenes and their derivatives. An outline and background of fullerene properties are first described (introduced), followed by several examples of fullerene assemblies, such as wiskers, tubes, sheets, cubes, hole in cubes and hopper shaped fullerenes. Also a demonstration of factors influencing morphologies of fu...</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Assembly of Fullerene Fine Crystals: Fabrication of 1D, 2D and 3D Structures from 0D Fullerene","attachmentId":86446834,"attachmentType":"pdf","work_url":"https://www.academia.edu/79880746/Assembly_of_Fullerene_Fine_Crystals_Fabrication_of_1D_2D_and_3D_Structures_from_0D_Fullerene","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/79880746/Assembly_of_Fullerene_Fine_Crystals_Fabrication_of_1D_2D_and_3D_Structures_from_0D_Fullerene"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="36152727" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/36152727/Graphene_mediated_self_assembly_of_fullerene_nanorods">Graphene mediated self-assembly of fullerene nanorods</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="21362238" href="https://arizona.academia.edu/DeepakSridhar">Deepak Sridhar</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Chem. Commun., 2015</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Graphene mediated self-assembly of fullerene nanorods","attachmentId":56045092,"attachmentType":"pdf","work_url":"https://www.academia.edu/36152727/Graphene_mediated_self_assembly_of_fullerene_nanorods","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/36152727/Graphene_mediated_self_assembly_of_fullerene_nanorods"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="3764561" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/3764561/Supramolecular_Chemistry_And_Self_assembly_Special_Feature_Supramolecular_self_assembled_fullerene_nanostructures">Supramolecular Chemistry And Self-assembly Special Feature: Supramolecular self-assembled fullerene nanostructures</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="4622068" href="https://aveiro.academia.edu/ManuelMelleFranco">Manuel Melle Franco</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Proceedings of The National Academy of Sciences, 2002</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Supramolecular Chemistry And Self-assembly Special Feature: Supramolecular self-assembled fullerene nanostructures","attachmentId":50141481,"attachmentType":"pdf","work_url":"https://www.academia.edu/3764561/Supramolecular_Chemistry_And_Self_assembly_Special_Feature_Supramolecular_self_assembled_fullerene_nanostructures","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/3764561/Supramolecular_Chemistry_And_Self_assembly_Special_Feature_Supramolecular_self_assembled_fullerene_nanostructures"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="17010756" 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