{"id":4413,"date":"2011-06-12T15:12:07","date_gmt":"2011-06-12T15:12:07","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=4413"},"modified":"2011-06-12T15:12:07","modified_gmt":"2011-06-12T15:12:07","slug":"buses-and-dyotropic-rearrangements-always-come-in-threes","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=4413","title":{"rendered":"Buses (and dyotropic rearrangements) always come in threes."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"4413\">\n<p>The last two posts have played a game of find the electrons. We saw how the dyotropic rearrangement of <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=4340\" target=\"_blank\">ethane<\/a> borrowed electrons from the C-C bond, and how\u00a0<a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=4375\" target=\"_blank\">1,2,dibromoethane<\/a> went ionic on us. How about this mixed system, in which a hydrogen and a BH<sub>2<\/sub> swap their positions?<\/p>\n<div id=\"attachment_4414\" style=\"width: 268px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4414\" data-attachment-id=\"4414\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=4414\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?fit=1031%2C430&amp;ssl=1\" data-orig-size=\"1031,430\" 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=\"dyob\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Dyotropic rearrangement involving boron and hydrogen.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?fit=300%2C125&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?fit=450%2C188&amp;ssl=1\" class=\"size-full wp-image-4414\" title=\"dyob\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?resize=258%2C108\" alt=\"\" width=\"258\" height=\"108\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?w=1031&amp;ssl=1 1031w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?resize=300%2C125&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?resize=1024%2C427&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 258px) 100vw, 258px\" \/><\/a><p id=\"caption-attachment-4414\" class=\"wp-caption-text\">Dyotropic rearrangement involving boron and hydrogen.<\/p><\/div>\n<p>It is yet again different. Unlike the ethane system, this C<sub>2v<\/sub>-symmetric system is a true transition state, with no other distorsions. The C-C distance is an unusual 1.729\u00c5, whilst the C-B distances are a more normal 1.61\u00c5.<\/p>\n<table border=\"0\">\n<tbody>\n<tr>\n<td><div id=\"attachment_4416\" style=\"width: 210px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4416\" data-attachment-id=\"4416\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=4416\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?fit=651%2C558&amp;ssl=1\" data-orig-size=\"651,558\" 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=\"dyob-ts\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Transition state for  H\/BH2 transposition. Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?fit=300%2C257&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?fit=450%2C386&amp;ssl=1\" class=\"size-full wp-image-4416\" title=\"dyob-ts\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('yellow');jmolApplet([500,500],'load wp-content\/uploads\/2011\/06\/dyob.log; frame 23;connect (atomno=7) (atomno=6) NONE; zoom 100;vectors on;vectors 4;vectors scale 5.0; color vectors green; vibration 20;animation mode loop;measure 6 7;');\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?resize=200%2C171\" alt=\"\" width=\"200\" height=\"171\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?w=651&amp;ssl=1 651w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-ts.jpg?resize=300%2C257&amp;ssl=1 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><p id=\"caption-attachment-4416\" class=\"wp-caption-text\">Transition state for H\/BH2 transposition. Click for 3D.<\/p><\/div><\/td>\n<td>\n<p><div id=\"attachment_4422\" style=\"width: 210px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/hdl.handle.net\/10042\/to-8590\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4422\" data-attachment-id=\"4422\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=4422\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?fit=653%2C601&amp;ssl=1\" data-orig-size=\"653,601\" 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=\"dyob-irc\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Intrinsic reaction coordinate for the dyotropic rearrangement.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?fit=300%2C276&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?fit=450%2C414&amp;ssl=1\" class=\"size-full wp-image-4422\" title=\"dyob-irc\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?resize=200%2C184\" alt=\"\" width=\"200\" height=\"184\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?w=653&amp;ssl=1 653w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-irc.jpg?resize=300%2C276&amp;ssl=1 300w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/a><p id=\"caption-attachment-4422\" class=\"wp-caption-text\">Intrinsic reaction coordinate for the dyotropic rearrangement.<\/p><\/div><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The ELF partitioning shows 1.81 electrons in C-B disynaptic basins (red, below), and 1.91 electrons in a trisynaptic\u00a0C-H-C basin (yellow, below), or 5.53 in total. No discrete C-C basin is found, and no evidence either of ionicity as with dibromoethane.<\/p>\n<div id=\"attachment_4417\" style=\"width: 243px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob-elf.jpg\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4417\" data-attachment-id=\"4417\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=4417\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-elf.jpg?fit=477%2C505&amp;ssl=1\" data-orig-size=\"477,505\" 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=\"dyob-elf\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;ELF analysis.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-elf.jpg?fit=283%2C300&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyob-elf.jpg?fit=450%2C476&amp;ssl=1\" class=\"size-full wp-image-4417\" title=\"dyob-elf\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyob-elf.jpg?resize=233%2C258\" alt=\"\" width=\"233\" height=\"258\" \/><\/a><p id=\"caption-attachment-4417\" class=\"wp-caption-text\">ELF analysis.<\/p><\/div>\n<p>Finally, adding two electrons into the system, as with NH<sub>2<\/sub> replacing BH<sub>2<\/sub>, produces a similar result but now with the\u00a0C&#8230;C region populated with 2.22 electrons (the surprise is that this extra electron pair is NOT associated with the nitrogen). These extra electrons reduces the\u00a0C-C bond length to 1.395\u00c5.<\/p>\n<div id=\"attachment_4428\" style=\"width: 242px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/hdl.handle.net\/10042\/to-8591\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4428\" data-attachment-id=\"4428\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=4428\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?fit=463%2C614&amp;ssl=1\" data-orig-size=\"463,614\" 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=\"dyon-elf\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;ELF analysis for  NH2\/H transposition.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?fit=226%2C300&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?fit=450%2C597&amp;ssl=1\" class=\"size-full wp-image-4428\" title=\"dyon-elf\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?resize=232%2C307\" alt=\"\" width=\"232\" height=\"307\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?w=463&amp;ssl=1 463w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2011\/06\/dyon-elf.jpg?resize=226%2C300&amp;ssl=1 226w\" sizes=\"auto, (max-width: 232px) 100vw, 232px\" \/><\/a><p id=\"caption-attachment-4428\" class=\"wp-caption-text\">ELF analysis for NH2\/H transposition.<\/p><\/div>\n<p>What an adventure. It reminds us never to take for granted where the electrons are in a molecule (or the transition states for its reactions), although to be fair we can normally guess pretty well.<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 4413 -->","protected":false},"excerpt":{"rendered":"<p>The last two posts have played a game of find the electrons. We saw how the dyotropic rearrangement of ethane borrowed electrons from the C-C bond, and how\u00a01,2,dibromoethane went ionic on us. How about this mixed system, in which a hydrogen and a BH2 swap their positions? It is yet again different. Unlike the ethane [&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":[562,1529,1527],"class_list":["post-4413","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-dyotropic","tag-pericyclic","tag-tutorial-material"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-19b","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4413","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=4413"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/4413\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4413"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4413"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4413"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}