{"id":4278,"date":"2011-06-02T10:18:57","date_gmt":"2011-06-02T10:18:57","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=4278"},"modified":"2013-02-01T12:57:52","modified_gmt":"2013-02-01T12:57:52","slug":"metallic-carbon-nanotori","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278","title":{"rendered":"Metallic carbon nanotori"},"content":{"rendered":"
\n

The interface between physics, chemistry (and materials science) can be a fascinating one. Here I show a carbon\u00a0nanotorus, devised by physicists[1]<\/a><\/span> a few years ago.\u00a0It is a theoretical species, and was predicted to have a colossal paramagnetic moment<\/em>.<\/p>\n

\"\"

Carbon nanotorus. Click for 3D.<\/p><\/div>\n

At 1364 carbon atoms, it is a little too big to calculate any of its expected chiroptical properties (the torus twists in a helical manner, and so is chiral).\u00a0So we can only speculate whether e.g.<\/em> its optical rotation would also be colossal! Or, what applications such a nanodevice might have. This post, by the way, was induced by seeing Steve Bachrach’s fascinating exploration<\/a> of chiral nanohoops.<\/p>\n

 <\/p>\n

References<\/h2>\n
  1. L. Liu, G.Y. Guo, C.S. Jayanthi, and S.Y. Wu, \"Colossal Paramagnetic Moments in Metallic Carbon Nanotori\", Physical Review Letters<\/i>, vol. 88, 2002. https:\/\/doi.org\/10.1103\/physrevlett.88.217206<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

    The interface between physics, chemistry (and materials science) can be a fascinating one. Here I show a carbon\u00a0nanotorus, devised by physicists a few years ago.\u00a0It is a theoretical species, and was predicted to have a colossal paramagnetic moment. At 1364 carbon atoms, it is a little too big to calculate any of its expected chiroptical […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":5,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1,4],"tags":[575,547,548,20],"ppma_author":[2661],"class_list":["post-4278","post","type-post","status-publish","format-standard","hentry","category-general","category-interesting-chemistry","tag-chiroptical","tag-metallic-carbon","tag-nanotorus","tag-steve-bachrach"],"yoast_head":"\nMetallic carbon nanotori - Henry Rzepa's Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Metallic carbon nanotori - Henry Rzepa's Blog\" \/>\n<meta property=\"og:description\" content=\"The interface between physics, chemistry (and materials science) can be a fascinating one. Here I show a carbon\u00a0nanotorus, devised by physicists a few years ago.\u00a0It is a theoretical species, and was predicted to have a colossal paramagnetic moment. At 1364 carbon atoms, it is a little too big to calculate any of its expected chiroptical […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278\" \/>\n<meta property=\"og:site_name\" content=\"Henry Rzepa's Blog\" \/>\n<meta property=\"article:published_time\" content=\"2011-06-02T10:18:57+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2013-02-01T12:57:52+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg\" \/>\n<meta name=\"author\" content=\"Henry Rzepa\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Henry Rzepa\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Metallic carbon nanotori - Henry Rzepa's Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278","og_locale":"en_GB","og_type":"article","og_title":"Metallic carbon nanotori - Henry Rzepa's Blog","og_description":"The interface between physics, chemistry (and materials science) can be a fascinating one. Here I show a carbon\u00a0nanotorus, devised by physicists a few years ago.\u00a0It is a theoretical species, and was predicted to have a colossal paramagnetic moment. At 1364 carbon atoms, it is a little too big to calculate any of its expected chiroptical […]","og_url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278","og_site_name":"Henry Rzepa's Blog","article_published_time":"2011-06-02T10:18:57+00:00","article_modified_time":"2013-02-01T12:57:52+00:00","og_image":[{"url":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg","type":"","width":"","height":""}],"author":"Henry Rzepa","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Henry Rzepa","Estimated reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#article","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278"},"author":{"name":"Henry Rzepa","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"headline":"Metallic carbon nanotori","datePublished":"2011-06-02T10:18:57+00:00","dateModified":"2013-02-01T12:57:52+00:00","mainEntityOfPage":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278"},"wordCount":127,"commentCount":6,"image":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#primaryimage"},"thumbnailUrl":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg","keywords":["chiroptical","metallic carbon","nanotorus","Steve Bachrach"],"articleSection":["General","Interesting chemistry"],"inLanguage":"en-GB","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278","name":"Metallic carbon nanotori - Henry Rzepa's Blog","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#primaryimage"},"image":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#primaryimage"},"thumbnailUrl":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg","datePublished":"2011-06-02T10:18:57+00:00","dateModified":"2013-02-01T12:57:52+00:00","author":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"breadcrumb":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#breadcrumb"},"inLanguage":"en-GB","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278"]}]},{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#primaryimage","url":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg","contentUrl":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/carbon-nanotorus.jpg"},{"@type":"BreadcrumbList","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=4278#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog"},{"@type":"ListItem","position":2,"name":"Metallic carbon nanotori"}]},{"@type":"WebSite","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#website","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/","name":"Henry Rzepa's Blog","description":"Chemistry with a twist","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-GB"},{"@type":"Person","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281","name":"Henry Rzepa","image":{"@type":"ImageObject","inLanguage":"en-GB","@id":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g370be3a7397865e4fd161aefeb0a5a85","url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","caption":"Henry Rzepa"},"description":"Henry Rzepa is Emeritus Professor of Computational Chemistry at Imperial College London.","sameAs":["https:\/\/orcid.org\/0000-0002-8635-8390"],"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?author=1"}]}},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pDef7-170","jetpack-related-posts":[{"id":10145,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=10145","url_meta":{"origin":4278,"position":0},"title":"Feist’s acid. Stereochemistry galore.","author":"Henry Rzepa","date":"April 4, 2013","format":false,"excerpt":"Back in the days (1893) when few compounds were known, new ones could end up being named after the discoverer. Thus Feist is known for the compound bearing his name; the 2,3 carboxylic acid of methylenecyclopropane (1, with Me replaced by CO2H). Compound 1 itself nowadays is used to calibrate\u2026","rel":"","context":"In "Interesting chemistry"","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"methylene-cyclopropane","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/04\/methylene-cyclopropane.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":20010,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=20010","url_meta":{"origin":4278,"position":1},"title":"Tetrahedral carbon and cyclohexane.","author":"Henry Rzepa","date":"August 22, 2018","format":false,"excerpt":"Following the general recognition of carbon as being tetrahedrally tetravalent in 1869 (Paterno) and 1874 (Van't Hoff and Le Bell), an early seminal exploitation of this to the conformation of cyclohexane was by Hermann Sachse in 1890. This was\u00a0verified when the Braggs in 1913, followed by an oft-cited article by\u2026","rel":"","context":"In "Interesting chemistry"","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2018\/08\/diamond.jpg?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2018\/08\/diamond.jpg?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2018\/08\/diamond.jpg?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2018\/08\/diamond.jpg?resize=700%2C400&ssl=1 2x, https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2018\/08\/diamond.jpg?resize=1050%2C600&ssl=1 3x"},"classes":[]},{"id":17829,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=17829","url_meta":{"origin":4278,"position":2},"title":"First, hexacoordinate carbon – now pentacoordinate nitrogen?","author":"Henry Rzepa","date":"March 25, 2017","format":false,"excerpt":"A few years back I followed a train of thought here which ended with hexacoordinate carbon, then a hypothesis rather than a demonstrated reality. That reality was recently confirmed via a crystal structure,\u00a0DOI:10.5517\/CCDC.CSD.CC1M71QM. Here is a\u00a0similar proposal for\u00a0penta-coordinate nitrogen. First, a search of the CSD (Cambridge structure database) for such\u00a0nitrogen.\u2026","rel":"","context":"In "Bond slam"","block_context":{"text":"Bond slam","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=2237"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":17063,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=17063","url_meta":{"origin":4278,"position":3},"title":"The largest C-C-C angle?","author":"Henry Rzepa","date":"November 1, 2016","format":false,"excerpt":"I am now inverting the previous question by asking what is the largest angle subtended at a chain of three connected 4-coordinate carbon atoms? Let's see if further interesting chemistry can be unearthed. Specifying only angles > 130\u00b0, the following distribution is obtained. Note the maximum at ~138\u00b0. This is\u2026","rel":"","context":"In "crystal_structure_mining"","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"vajhap","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2016\/10\/VAJHAP.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":10801,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=10801","url_meta":{"origin":4278,"position":4},"title":"Is CLi6 hypervalent?","author":"Henry Rzepa","date":"July 5, 2013","format":false,"excerpt":"A comment made on the previous post on the topic of hexa-coordinate carbon cited an article entitled \"Observation of hypervalent CLi6\u00a0by Knudsen-effusion mass spectrometry\" by Kudo as a amongst the earliest of evidence that such species can exist (in the gas phase). It was a spectacular vindication of the earlier\u2026","rel":"","context":"In "Hypervalency"","block_context":{"text":"Hypervalency","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=7"},"img":{"alt_text":"Click for 3D","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/07\/CLi6-Lp.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":2828,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2828","url_meta":{"origin":4278,"position":5},"title":"Can a cyclobutadiene and carbon dioxide co-exist in a calixarene cavity?","author":"Henry Rzepa","date":"November 19, 2010","format":false,"excerpt":"On 8th August this year, I posted on a fascinating article that had just appeared in Science in which the crystal structure was reported of two small molecules,\u00a01,3-dimethyl cyclobutadiene\u00a0and\u00a0carbon dioxide, entrapped together inside a calixarene cavity. Other journals (e.g.\u00a0Nature Chemistry ran the article as a research highlight (where the purpose\u2026","rel":"","context":"In "Interesting chemistry"","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/11\/cbd.jpg?resize=350%2C200","width":350,"height":200},"classes":[]}],"jetpack_likes_enabled":false,"authors":[{"term_id":2661,"user_id":1,"is_guest":0,"slug":"admin","display_name":"Henry Rzepa","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","0":null,"1":"","2":"","3":"","4":"","5":"","6":"","7":"","8":""}],"_links":{"self":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4278","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4278"}],"version-history":[{"count":2,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4278\/revisions"}],"predecessor-version":[{"id":11410,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4278\/revisions\/11410"}],"wp:attachment":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4278"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fppma_author&post=4278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}