{"id":21346,"date":"2019-10-03T10:04:07","date_gmt":"2019-10-03T09:04:07","guid":{"rendered":"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=21346"},"modified":"2019-10-03T10:04:07","modified_gmt":"2019-10-03T09:04:07","slug":"bond-length-alternation-bla-in-large-conjugated-rings-an-update","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=21346","title":{"rendered":"Bond length alternation (BLA) in large conjugated  rings: an (anti-aromatic) update."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"21346\">\n<p>In the <a href=\"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=21307\">previous post<\/a>, I looked at a class of molecule known as hexaphyrins, inspecting bond length alternation (BLA) at the so-called <em>meso<\/em> position, the carbon atom joining two pyrrole rings. A search of the difference in bond lengths at this position had shown two significant clusters of crystal structures.<br \/>\n<a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"21326\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=21326\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?fit=1780%2C1448&amp;ssl=1\" data-orig-size=\"1780,1448\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"hexa-RT\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?fit=300%2C244&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?fit=450%2C366&amp;ssl=1\" class=\"aligncenter size-large wp-image-21326\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?resize=450%2C366&#038;ssl=1\" alt=\"\" width=\"450\" height=\"366\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?resize=1024%2C833&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?resize=300%2C244&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?resize=768%2C625&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?w=1780&amp;ssl=1 1780w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?w=900&amp;ssl=1 900w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/09\/hexa-RT-1.jpg?w=1350&amp;ssl=1 1350w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a>Molecules in the bottom left of this diagram shows little or no bond length alternation. The right middle shows another cluster with more extreme (and unequal) bond length alternation. I have selected one molecule from this cluster, EGIJEK and it differs from EGIHUY in having four NH units in the ring, whereas the latter has only two.<\/p>\n<p><div id=\"attachment_21349\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?ssl=1\"><img data-recalc-dims=\"1\" decoding=\"async\" aria-describedby=\"caption-attachment-21349\" data-attachment-id=\"21349\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=21349\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?fit=840%2C680&amp;ssl=1\" data-orig-size=\"840,680\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"EGIJEK\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;EGIJEK&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?fit=300%2C243&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?fit=450%2C364&amp;ssl=1\" class=\"size-full wp-image-21349\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?w=450&#038;ssl=1\" alt=\"\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?w=840&amp;ssl=1 840w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?resize=300%2C243&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIJEK.jpg?resize=768%2C622&amp;ssl=1 768w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><p id=\"caption-attachment-21349\" class=\"wp-caption-text\">EGIJEK<\/p><\/div> <div id=\"attachment_21350\" style=\"width: 510px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?ssl=1\"><img data-recalc-dims=\"1\" decoding=\"async\" aria-describedby=\"caption-attachment-21350\" data-attachment-id=\"21350\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=21350\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?fit=891%2C654&amp;ssl=1\" data-orig-size=\"891,654\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"EGIHUY\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;EGIHUY&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?fit=300%2C220&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?fit=450%2C330&amp;ssl=1\" class=\"size-full wp-image-21350\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?w=450&#038;ssl=1\" alt=\"\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?w=891&amp;ssl=1 891w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?resize=300%2C220&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2019\/10\/EGIHUY.jpg?resize=768%2C564&amp;ssl=1 768w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><p id=\"caption-attachment-21350\" class=\"wp-caption-text\">EGIHUY<\/p><\/div><\/p>\n<p>The effect this has is illustrated below. A pyrrole with an NH group contributes two\u00a0\u03c0-electrons to the conjugated periphery whereas a pyrrole with just an N contributes only one. Thus the four NH rings in EGIJEK contribute overall two more \u03c0-electrons to the periphery than EGIHUY with just two NH rings. This increases the \u03c0-electron count from 26 to 28, driving EGIJEK from a 4n+2 into a 4n \u03c0-electron count (n=7) and making it formally anti-aromatic. This in turn induces strong bond length alternation (as for example in cyclobutadiene).<\/p>\n<p><a href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2019\/10\/pi.svg\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-21345\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2019\/10\/pi.svg\" alt=\"\" width=\"250\" \/><\/a><\/p>\n<p>Here is a reprise of the bond length table shown in the previous post, but for\u00a0EGIJEK.<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 291px;\" border=\"1\">\n<tbody>\n<tr style=\"height: 22px;\">\n<th style=\"height: 22px; width: 65.74344023323616%;\" colspan=\"2\">Meso distances, \u00c5<\/th>\n<th style=\"height: 22px; width: 34.11078717201166%;\">abs(\u0394r)<\/th>\n<\/tr>\n<tr style=\"height: 27px;\">\n<td style=\"height: 27px; width: 99.85422740524783%;\" colspan=\"3\">EGIJEK crystal, C<sub>i<\/sub> symmetry, DOI: <a href=\"https:\/\/doi.org\/10.5517\/ccrts2d\" target=\"new\" rel=\"noopener noreferrer\">10.5517\/ccrts2d<\/a><\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1,43657<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.37034<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.06623<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.35661<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.44895<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.09234<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.42356<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.37287<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.05069<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 99.85422740524783%;\" colspan=\"3\">B3LYP+GD3BJ\/Def2-SVPP (FAIR DOI: <a href=\"https:\/\/doi.org\/10.14469\/hpc\/6194\">10.14469\/hpc\/6194<\/a>)<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.44019<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.38259<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.0576<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.37732<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.44481<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.06749<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.43261<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.38568<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.04693<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 99.85422740524783%;\" colspan=\"3\">\u03c9B97XD\/Def2-SVPP (FAIR DOI: <a href=\"https:\/\/doi.org\/10.14469\/hpc\/6194\">10.14469\/hpc\/6194<\/a>\u00a0)<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.44575<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.37537<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.07038<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.36214<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.45508<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.09294<\/td>\n<\/tr>\n<tr style=\"height: 22px;\">\n<td style=\"height: 22px; width: 32.6530612244898%;\">1.44221<\/td>\n<td style=\"height: 22px; width: 33.09037900874636%;\">1.36958<\/td>\n<td style=\"height: 22px; width: 34.11078717201166%;\">0.07263<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Of the two functionals used in the calculations, the \u03c9B97XD form slightly over-estimates the BLA, with the B3LYP slightly under-estimating it. This seems to tally with the <a href=\"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=21225\">earlier observations<\/a> made for cyclo[n]carbons.<\/p>\n<p>Perhaps these sorts of molecules might form useful reality checks on calculating bond length alternations in large ring cyclic conjugated molecules.<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 21346 -->","protected":false},"excerpt":{"rendered":"<p>In the previous post, I looked at a class of molecule known as hexaphyrins, inspecting bond length alternation (BLA) at the so-called meso position, the carbon atom joining two pyrrole rings. A search of the difference in bond lengths at this position had shown two significant clusters of crystal structures. Molecules in the bottom left [&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":[1526],"class_list":["post-21346","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-interesting-chemistry"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-5yi","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/21346","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=21346"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/21346\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=21346"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=21346"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=21346"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}