{"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":"2013-02-12T11:41:08","modified_gmt":"2013-02-12T11:41:08","slug":"helically-conjugated-molecules-a-follow-up-to-144-annulene","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/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 data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9513\" data-attachment-id=\"9513\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=9513\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?fit=751%2C464&amp;ssl=1\" data-orig-size=\"751,464\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"SELQUW\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;SELQUW. Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?fit=300%2C185&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?fit=450%2C278&amp;ssl=1\" class=\" wp-image-9513 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2013\/02\/SELQUW.cif;');\" alt=\"SELQUW. Click for 3D.\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?resize=450%2C277\" width=\"450\" height=\"277\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?w=751&amp;ssl=1 751w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/SELQUW.jpg?resize=300%2C185&amp;ssl=1 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><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 data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9514\" data-attachment-id=\"9514\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=9514\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?fit=776%2C351&amp;ssl=1\" data-orig-size=\"776,351\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"HIYTAL\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;HIYTAL. Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?fit=300%2C135&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?fit=450%2C204&amp;ssl=1\" class=\" wp-image-9514 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2013\/02\/HIYTAL.cif;');\" alt=\"HIYTAL. Click for 3D.\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?resize=450%2C204\" width=\"450\" height=\"204\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?w=776&amp;ssl=1 776w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/HIYTAL.jpg?resize=300%2C135&amp;ssl=1 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><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,"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":[6],"tags":[994,389],"class_list":["post-9512","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-helical-annulenes","tag-x-ray"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-2tq","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/9512","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9512"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/9512\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9512"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9512"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9512"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}