{"id":5655,"date":"2011-11-28T15:18:23","date_gmt":"2011-11-28T15:18:23","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=5655"},"modified":"2011-11-28T15:18:23","modified_gmt":"2011-11-28T15:18:23","slug":"a-modern-take-on-pericyclic-cycloaddition-dimerisation-of-cis-butene","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=5655","title":{"rendered":"A modern take on pericyclic cycloaddition. Dimerisation of cis-butene"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"5655\">\n<p>The \u03c0<sub>2<\/sub> + \u03c0<sub>2<\/sub> cyclodimerisation of <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=5087\" target=\"_blank\"><em>cis<\/em>-butene<\/a> is the simplest cycloaddition reaction with stereochemical implications. I here give it the same treatment as I did previously for <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=5632\" target=\"_blank\">electrocyclic pericyclic reactions<\/a>.<\/p>\n<p><a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2+2.svg\"><img decoding=\"async\" data-attachment-id=\"5656\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=5656\" data-orig-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2+2.svg\" data-orig-size=\"\" data-comments-opened=\"1\" data-image-meta=\"[]\" data-image-title=\"2+2\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;The 2+2 cycloaddition pericyclic reaction.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2+2.svg\" data-large-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2+2.svg\" class=\"aligncenter size-full wp-image-5656\" title=\"2+2\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2+2.svg\" alt=\"\" width=\"300\" \/><\/a><br \/>\nThe photochemical reaction is<a href=\"http:\/\/dx.doi.org\/10.1021\/ja01030a066\" target=\"_blank\"> known<\/a> to give a mixture of two tetramethylcyclobutanes in the ratio of 1.3:1.0, with the all-<em>cis<\/em> isomer apparently predominating. The key geometry is the<em><strong> conical intersection<\/strong><\/em>, at which the energies of the S<sub>1<\/sub> and S<sub>0<\/sub> states coincide. This geometry has a typical trapezoidal appearance, with <strong><em>suprafacial<\/em><\/strong> addition accross both components. The <a href=\"http:\/\/hdl.handle.net\/10042\/to-10497\" target=\"_blank\"><em>exo<\/em> addition<\/a>\u00a0is calculated to be about 1 kcal\/mol lower in total energy than the <a href=\"http:\/\/hdl.handle.net\/10042\/to-10387\" target=\"_blank\">endo<\/a>\u00a0(at the CASSCF(12,8)\/6-31G(d) level), which implies that the latter should be the minor and not the major form. However, these CASSCF energies are not corrected for thermal (entropic) or dynamic correlation components, and moreover the active space orbitals are probably not identical either (I demonstrated in <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=5040\" target=\"_blank\">another post <\/a>how the orbitals of the alkene interact with those of the methyl groups, and its quite likely that the <em>endo<\/em> and <em>exo<\/em> orientations will result in slightly different interactions) which makes such comparisons non trivial. These calculations do support the idea that both isomers should form (which at first sight might be counter-intuitive given the apparent steric constraints of the<em> endo<\/em> isomer).<\/p>\n<table class=\"aligncenter\" border=\"0\">\n<tbody>\n<tr>\n<td><div id=\"attachment_5657\" style=\"width: 210px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-5657\" data-attachment-id=\"5657\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=5657\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?fit=701%2C616&amp;ssl=1\" data-orig-size=\"701,616\" 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=\"2+2-exo\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;2+2 exo addition. click for  3D&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?fit=300%2C263&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?fit=450%2C395&amp;ssl=1\" class=\"size-full wp-image-5657  \" title=\"2+2-exo\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('red');jmolApplet([500,500],'load wp-content\/uploads\/2011\/11\/2+2-exo.cml;measure 1 2;measure 3 4;measure 2 4;');\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?resize=200%2C176\" alt=\"\" width=\"200\" height=\"176\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?w=701&amp;ssl=1 701w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-exo.jpg?resize=300%2C263&amp;ssl=1 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><p id=\"caption-attachment-5657\" class=\"wp-caption-text\">2+2 exo addition. click for 3D<\/p><\/div><\/td>\n<td><div id=\"attachment_5659\" style=\"width: 210px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-5659\" data-attachment-id=\"5659\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=5659\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?fit=648%2C608&amp;ssl=1\" data-orig-size=\"648,608\" 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=\"2+2-endo\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;2+2 cycloaddition, endo. Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?fit=300%2C281&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?fit=450%2C422&amp;ssl=1\" class=\"size-full wp-image-5659\" title=\"2+2-endo\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('yellow');jmolApplet([500,500],'load wp-content\/uploads\/2011\/11\/2+2-endo.mol;measure 1 2;measure 3 4;measure 2 4;');\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?resize=200%2C188\" alt=\"\" width=\"200\" height=\"188\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?w=648&amp;ssl=1 648w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2-endo.jpg?resize=300%2C281&amp;ssl=1 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><p id=\"caption-attachment-5659\" class=\"wp-caption-text\">2+2 endo addition. Click for 3D.<\/p><\/div><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The thermally activated reaction is not known for this alkene, and the calculations support this with an enormous barrier to reaction (&gt; 68 kcal\/mol).<\/p>\n<p><a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2a+2s_me.svg\"><img decoding=\"async\" data-attachment-id=\"5660\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=5660\" data-orig-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2a+2s.svg\" data-orig-size=\"\" data-comments-opened=\"1\" data-image-meta=\"[]\" data-image-title=\"2a+2s\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;IRC for the  thermal 2+2 cycloaddition reaction.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2a+2s.svg\" data-large-file=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2a+2s.svg\" class=\"aligncenter size-full wp-image-5660\" title=\"2a+2s\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2a+2s_me.svg\" alt=\"\" width=\"300\" \/><\/a><\/p>\n<p>As a 4n-electron pericyclic, the selections rules require there to be one <strong><em>antarafacial<\/em><\/strong> component present, and the <a href=\"http:\/\/hdl.handle.net\/10042\/to-10509\" target=\"_blank\">IRC for this reaction<\/a> illustrates this very nicely. The formation of two pairs of C-C bonds is very asynchronous. Only when the first bond is almost complete does the second\u00a0C=C start to rotate. The second C-C bond only starts to form after this rotation (the <em>antarafacial<\/em> component) is essentially complete, forming a product where one methyl group is on the opposite face of the ring to the other three. Note in particular that the rhs alkene has the two C-H hydrogens <em>synplanar<\/em>\u00a0to start with, but that they are exactly <em>antiperiplanar<\/em> in the product.<\/p>\n<p><div id=\"attachment_5691\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" decoding=\"async\" aria-describedby=\"caption-attachment-5691\" data-attachment-id=\"5691\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=5691\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?fit=390%2C309&amp;ssl=1\" data-orig-size=\"390,309\" 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=\"2+2a\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;2a + 2s cycloaddition showing  IRC.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?fit=300%2C237&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?fit=390%2C309&amp;ssl=1\" class=\"size-full wp-image-5691 \" title=\"2+2a\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('yellow');jmolApplet([500,500],'load wp-content\/uploads\/2011\/11\/2a+2s_me.log;frame 41; zoom 100;measure 3 4;measure 1 2;vectors on;vectors 4;vectors scale 5.0; color vectors green; vibration 20;animation mode loop;');\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?w=300\" alt=\"\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?w=390&amp;ssl=1 390w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/11\/2%2B2a.gif?resize=300%2C237&amp;ssl=1 300w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/><p id=\"caption-attachment-5691\" class=\"wp-caption-text\">2a + 2s cycloaddition showing IRC. Click for 3D<\/p><\/div>For this small system the two critical points, a conical intersection and a transition state, could not be more different. But they do capture the essential features of pericyclic reactions and their selection rules.<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 5655 -->","protected":false},"excerpt":{"rendered":"<p>The \u03c02 + \u03c02 cyclodimerisation of cis-butene is the simplest cycloaddition reaction with stereochemical implications. I here give it the same treatment as I did previously for electrocyclic pericyclic reactions. The photochemical reaction is known to give a mixture of two tetramethylcyclobutanes in the ratio of 1.3:1.0, with the all-cis isomer apparently predominating. The key [&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":[1],"tags":[147,773,1529,1527],"class_list":["post-5655","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-energy","tag-methyl","tag-pericyclic","tag-tutorial-material"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-1td","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/5655","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=5655"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/5655\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5655"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5655"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5655"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}