{"id":63,"date":"2009-04-03T09:40:16","date_gmt":"2009-04-03T08:40:16","guid":{"rendered":"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=63"},"modified":"2009-04-03T09:40:16","modified_gmt":"2009-04-03T08:40:16","slug":"the-sn-1-reaction-live","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=63","title":{"rendered":"The SN-1 Reaction live!"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"63\">\n<p><!--more-->The ionization of a C-X bond (X=halogen)  to form what we call a carbocation and which is known as  the SN-1 reaction goes way back in the history of chemistry. Julius Steglitz was probably the first person to suggest such an ionization, back in 1899 (Steglitz, J.; <em>Am. Chem. J.<\/em>, <strong>1899<\/strong>, 21, 101). The reaction became very famous during the  1920s onwards, and could be regarded as one of the cornerstones of organic chemistry. A  question  I like to ask whenever talking about a reaction is  &#8220;what is the transition state like?&#8221;. Although answering such a question can get tricky, one might imagine that it should be relatively simple for such a fundamental reaction as the SN-1.<\/p>\n<div id=\"attachment_65\" style=\"width: 438px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-65\" data-attachment-id=\"65\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=65\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?fit=428%2C78&amp;ssl=1\" data-orig-size=\"428,78\" 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=\"sn1\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;SN-1 Reaction. Click on image to see  3D model&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?fit=300%2C54&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?fit=428%2C78&amp;ssl=1\" class=\"size-full wp-image-65\" title=\"sn1\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('cyan');jmolApplet([500,500],'load wp-content\/uploads\/2009\/04\/sn1-13-155.xyz; frame 1; zoom 100; connect (atomno=15) (atomno=1) PARTIAL;connect (atomno=1) (atomno=14) PARTIAL;vectors  on;vectors 4;vectors scale 5.0; color vectors black; vibration 20;animation mode loop;measure  17 24;measure 21 26;measure 22 18;measure 15 43;measure 44 30;measure 31 27;');\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?resize=428%2C78\" alt=\"SN-1 Reaction. Click on image to see  3D model\" width=\"428\" height=\"78\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?w=428&amp;ssl=1 428w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2009\/04\/sn1.jpg?resize=300%2C54&amp;ssl=1 300w\" sizes=\"auto, (max-width: 428px) 100vw, 428px\" \/><p id=\"caption-attachment-65\" class=\"wp-caption-text\">SN-1 Reaction. Click on image to see  3D model<\/p><\/div>\n<p>Well, it turns out it is not! \u00a0Looking at the energy of the system as a function of extending the \u00a0C-Cl distance usually produces a curve that rises sharply, way past the actual free energy barrier for e.g. the solvolysis of tert-butyl chloride (which is around \u00a021 kcal\/mol), and which produces no actual transition state. \u00a0Such a gas-phase model is simply not realistic, and to make it so, we have to include solvent. \u00a0Such a model does yield a transition state, about which the following aspects can be noted:<\/p>\n<ol>\n<li>At least 13 water molecules are needed to model this reaction; more would be better, but it gets increasingly difficult to fully optimise their positions as you add more<\/li>\n<li>The reason so many are needed is that they cross-polarise each other. One water molecule initiates an S<sub>N<\/sub>2 like attack from the back side of the t-butyl chloride. As the O&#8230;C bond develops, that water molecule becomes positively charged. This positive charged water forms an unusually strong hydrogen bond to a second molecule, which transfers part of this positive charge to the second water. This forms a H-bond to a third water, again stronger than usual because of the charge of the second. At the other end of the molecule, the C&#8230;Cl bond is gradually leaving and becomes a chloride anion. This too stabilises by forming a hydrogen bond to an adjacent water. Again this is stronger than normal due to the partial transfer of charge. Gradually, a chain of waters bridging the first water and the chloride forms.<\/li>\n<li>In fact, its better to form at least two such bridges rather than just one. Perhaps even three chains might form (but I have not yet succeeded in locating the transition state for such!).<\/li>\n<li>The bridging waters also form little water trimers as they go, a particularly stable arrangement for water. These too gain from the cross-polarisation.<\/li>\n<li>This arrangement allows a proper <em>close ion-pair<\/em> to form, and a properly locatable transition state on the way to this species to be characterized.<\/li>\n<li>Once the ion pair is formed, one of two things can now happen\n<ol>\n<li>The original water is still fully protonated, with the associated positive charge. It is easily the best leaving group in the system. So a neutral water can come in from the side of the chloride, and undergo a second S<sub>N<\/sub>2 like displacement of that charged water. Net effect? Production of t-butanol with <strong>retention of configuration at the carbon<\/strong>.<\/li>\n<li>The polarisation induced by the first charge water, and the last charged chloride amounts to partial proton transfer via a chain like mechanism. In fact, it takes very little further energy to fully transfer one proton from the water end of things to the chloride. This produces t-butanol with <strong>inversion of configuration at the carbon<\/strong>.<\/li>\n<\/ol>\n<\/li>\n<li>If each of the above two steps were to be equally likely. the outcome would be that the production of t-butanol occurs with apparent racemisation! In reality, the dynamics of the system will probably also play an important role in determining the outcome.<\/li>\n<li>Take a look at the transition state shown above. You will notice a remarkable degree of <strong>rotation<\/strong> of two of the methyl groups. This makes the transition state highly dependent on the <strong>mass<\/strong> of the hydrogens on these methyls. Now, it is known that replacing the Hs with deuterium induces a very large isotope effect on the reaction. Now we know why! It is more difficult to move a heavy atom in the TS than a light one. In fact, the isotope effect can be calculated from the transition state, and it agrees almost exactly with experiment.<\/li>\n<\/ol>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 63 -->","protected":false},"excerpt":{"rendered":"","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":[21,147,171,1526,217],"class_list":["post-63","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-actual-free-energy-barrier","tag-energy","tag-gas-phase-model","tag-interesting-chemistry","tag-julius-steglitz"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-11","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/63","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=63"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/63\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=63"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=63"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=63"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}