{"id":9512,"date":"2013-02-12T11:41:08","date_gmt":"2013-02-12T11:41:08","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=9512"},"modified":"2014-01-17T07:32:57","modified_gmt":"2014-01-17T07:32:57","slug":"helically-conjugated-molecules-a-follow-up-to-144-annulene","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=9512","title":{"rendered":"Helically conjugated molecules. A follow-up to [144]-annulene."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"9512\">\n<p>An extensive discussion developed regarding<a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=9322\" target=\"_blank\"> my post<\/a> on a fascinating helical [144]-annulene. Topics included the nature of the ring current sustained by the\u00a0\u03c0-electrons and in particular the bond-length alternation around the periphery and whether this should alter if the electron count were to be changed to that of a 4n+2 system (<em>i.e.<\/em> a dication). Whilst the [144]-annulene itself is hypothetical, it emerged that some compounds known as expanded porphyrins have very similar (albeit smaller scale) helical structures. X-ray structures for two such provide useful reality checks on the calculations. Here<sup>\u2021\u00a0<\/sup>I include the (3D) coordinates of these two systems so that you can explore for yourself their helicity.<\/p>\n<div id=\"attachment_9513\" style=\"width: 461px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9513\" class=\" wp-image-9513 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2013\/02\/SELQUW.cif;');\" alt=\"SELQUW. Click for 3D.\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg\" width=\"451\" height=\"278\" \/><p id=\"caption-attachment-9513\" class=\"wp-caption-text\">SELQUW. Click for 3D X-ray structure<\/p><\/div>\n<p>&nbsp;<\/p>\n<div id=\"attachment_9514\" style=\"width: 476px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9514\" class=\" wp-image-9514 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2013\/02\/HIYTAL.cif;');\" alt=\"HIYTAL. Click for 3D.\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg\" width=\"466\" height=\"211\" \/><p id=\"caption-attachment-9514\" class=\"wp-caption-text\">HIYTAL. Click for 3D X-ray structure<\/p><\/div>\n<p>I include below \u0394<sub>r<\/sub><sup>meso<\/sup>, being the mean unsigned difference in bond length (\u00c5) at the <a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/talks\/acs09-comp\/\" target=\"_blank\">meso positions of the porphrin <\/a>ring, the calculations being at the 6-311G(d,p) level using the DFT procedure indicated below. The linking number analysis<span id=\"cite_ITEM-9512-0\" name=\"citation\"><a href=\"#ITEM-9512-0\">[1]<\/a><\/span> for such systems will be reported elsewhere.<span id=\"cite_ITEM-9512-1\" name=\"citation\"><a href=\"#ITEM-9512-1\">[2]<\/a><\/span><\/p>\n<table class=\"aligncenter\" border=\"1\" align=\"center\">\n<tbody>\n<tr>\n<td>Method<\/td>\n<td>SELQUW<\/td>\n<td>HIYTAL<\/td>\n<\/tr>\n<tr>\n<td>X-ray<\/td>\n<td>0.048<\/td>\n<td>0.045<\/td>\n<\/tr>\n<tr>\n<td>B97D\/6-311G(d,p)<\/td>\n<td><a href=\"http:\/\/hdl.handle.net\/10.6084\/m9.figshare.156475\" target=\"_blank\">0.025<\/a><\/td>\n<td><a href=\"http:\/\/hdl.handle.net\/10.6084\/m9.figshare.156394\" target=\"_blank\">0.015<\/a><\/td>\n<\/tr>\n<tr>\n<td>B3LYP\/6-311G(d,p)<\/td>\n<td><a href=\"http:\/\/hdl.handle.net\/10.6084\/m9.figshare.156532\" target=\"_blank\">0.047<\/a><\/td>\n<td><a href=\"http:\/\/hdl.handle.net\/10.6084\/m9.figshare.156528\" target=\"_blank\">0.017<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p><sup>\u2021<\/sup><span style=\"font-size: x-small;\">The WordPress system operated here does not enable 3D coordinates to be inserted into the comment section of a post, only the main body.<\/span><\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-9512-0\">S.M. Rappaport, and H.S. Rzepa, \"Intrinsically Chiral Aromaticity. Rules Incorporating Linking Number, Twist, and Writhe for Higher-Twist M\u00f6bius Annulenes\", <i>Journal of the American Chemical Society<\/i>, vol. 130, pp. 7613-7619, 2008. <a href=\"https:\/\/doi.org\/10.1021\/ja710438j\">https:\/\/doi.org\/10.1021\/ja710438j<\/a>\n\n<\/li>\n<li id=\"ITEM-9512-1\">H.S. Rzepa, \"Lemniscular Hexaphyrins as Examples of Aromatic and Antiaromatic Double-Twist M\u00f6bius Molecules\", <i>Organic Letters<\/i>, vol. 10, pp. 949-952, 2008. <a href=\"https:\/\/doi.org\/10.1021\/ol703129z\">https:\/\/doi.org\/10.1021\/ol703129z<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 9512 -->","protected":false},"excerpt":{"rendered":"<p>An extensive discussion developed regarding my post on a fascinating helical [144]-annulene. Topics included the nature of the ring current sustained by the\u00a0\u03c0-electrons and in particular the bond-length alternation around the periphery and whether this should alter if the electron count were to be changed to that of a 4n+2 system (i.e. a dication). Whilst [&hellip;]<\/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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4],"tags":[995,42],"ppma_author":[2661],"class_list":["post-9512","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-helical-annulenes","tag-x-ray"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Helically conjugated molecules. A follow-up to [144]-annulene. - Henry Rzepa&#039;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=9512\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Helically conjugated molecules. A follow-up to [144]-annulene. - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"An extensive discussion developed regarding my post on a fascinating helical [144]-annulene. Topics included the nature of the ring current sustained by the\u00a0\u03c0-electrons and in particular the bond-length alternation around the periphery and whether this should alter if the electron count were to be changed to that of a 4n+2 system (i.e. a dication). Whilst [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=9512\" \/>\n<meta property=\"og:site_name\" content=\"Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"article:published_time\" content=\"2013-02-12T11:41:08+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2014-01-17T07:32:57+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.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":"Helically conjugated molecules. A follow-up to [144]-annulene. - Henry Rzepa&#039;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=9512","og_locale":"en_GB","og_type":"article","og_title":"Helically conjugated molecules. A follow-up to [144]-annulene. - Henry Rzepa&#039;s Blog","og_description":"An extensive discussion developed regarding my post on a fascinating helical [144]-annulene. Topics included the nature of the ring current sustained by the\u00a0\u03c0-electrons and in particular the bond-length alternation around the periphery and whether this should alter if the electron count were to be changed to that of a 4n+2 system (i.e. a dication). Whilst [&hellip;]","og_url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=9512","og_site_name":"Henry Rzepa&#039;s Blog","article_published_time":"2013-02-12T11:41:08+00:00","article_modified_time":"2014-01-17T07:32:57+00:00","og_image":[{"url":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.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=9512#article","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=9512"},"author":{"name":"Henry Rzepa","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"headline":"Helically conjugated molecules. 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