{"id":22694,"date":"2020-09-07T10:14:50","date_gmt":"2020-09-07T09:14:50","guid":{"rendered":"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=22694"},"modified":"2020-09-07T10:14:50","modified_gmt":"2020-09-07T09:14:50","slug":"the-willgerodt-kindler-reaction-completing-the-box-set","status":"publish","type":"post","link":"https:\/\/rzepa.net\/blog\/2020\/09\/07\/the-willgerodt-kindler-reaction-completing-the-box-set\/","title":{"rendered":"The Willgerodt-Kindler reaction. Completing the Box set."},"content":{"rendered":"<p>These four posts (the box set) set out to try to define the energetics for a reasonable reaction path for the Willgerodt-Kindler reaction. The rate of this reaction corresponds approximately to a free energy barrier of ~30 kcal\/mol. Any pathway found to be &gt;10 kcal\/mol at its highest point above this barrier was deemed less probable. The first three efforts at defining such pathways all gave such a result. Here I try a fourth pathway in search of the hitherto elusive appropriately low energy barrier.<\/p>\n<p><a href=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/Willgerodt-4.svg\"><img decoding=\"async\" class=\"aligncenter size-large wp-image-22696\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/Willgerodt-4.svg\" alt=\"\" width=\"540\" \/><\/a><\/p>\n<p>The <a href=\"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=22595\" target=\"_blank\" rel=\"noopener noreferrer\">previously explored<\/a> pathway invoked an aziridinium cation as an intermediate (<strong>Int4<\/strong>). The challenge now is to define a route into this intermediate and another out of it to lead to the eventual product. I previously explored the energy of forming <strong>Int4<\/strong> by first using the lone pair of electrons on the nitrogen to form the ring, resulting in a carbanionic ylid which only then gained a proton to form <strong>Int4<\/strong>. This time I will try reversing this sequence, by protonation first to form <strong>Int5<\/strong> <em>via<\/em> <strong>TS4<\/strong>,\u00a0forming a cation resonance stabilized <em>via<\/em> sulfur. Only then does the nitrogen lone pair come into play to form the ring via <strong>TS8<\/strong>.\u00a0The free energy barriers for both these species are now within a reasonable range, being within 10 kcal\/mol of the estimated rate barrier (FAIR data for this pathway collected at DOI:\u00a0<a href=\"https:\/\/doi.org\/10.14469\/hpc\/7385\">10.14469\/hpc\/7385<\/a>).\u00a0It is also important to note that this is only an exploratory model, which has not yet been &#8220;optimized&#8221;. Thus to reduce the computer time needed, ammonia is used as a model base. The full model would use morpholine, which as a better base might be expected to <em>eg<\/em> reduce the barrier for <strong>TS4<\/strong>. Also, these are bimolecular reactions computed for a standard state of ~0.04M. More concentrated solutions would also reduce the barrier. The anion present along the entire reaction pathway is not included in this model; doing so might also alter slightly the barriers.<\/p>\n<p><figure id=\"attachment_22706\" aria-describedby=\"caption-attachment-22706\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS4.gif\"><img decoding=\"async\" class=\"size-full wp-image-22706\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS4.gif\" alt=\"\" width=\"450\" \/><\/a><figcaption id=\"caption-attachment-22706\" class=\"wp-caption-text\"><strong>TS4<\/strong>.<\/figcaption><\/figure> <figure id=\"attachment_22707\" aria-describedby=\"caption-attachment-22707\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS5.gif\"><img decoding=\"async\" class=\"size-full wp-image-22707\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS5.gif\" alt=\"\" width=\"450\" \/><\/a><figcaption id=\"caption-attachment-22707\" class=\"wp-caption-text\"><strong>TS5<\/strong><\/figcaption><\/figure><\/p>\n<p>Having found a reasonable route to <strong>Int4<\/strong>, it now has to be converted in the first instance to <strong>\u00a0Int6,\u00a0<\/strong>which is then easily protonated to the initial product, leading eventually to the thioamide outcome of this reaction. After much exploration, a good route was found to unexpectedly involve\u00a0<strong>Int7<\/strong>. This is formed by ring opening of <strong>Int4<\/strong> <em>via<\/em> <strong>TS9<\/strong>,  with the sulfur migrating along the carbon chain in preference to forming the rather less resonance stabilized benzylic cation. <strong>Int7<\/strong> then reverses this migration, with the base removing a proton and the sulfur migrating back to the carbon atom it had started from in I<strong>nt4<\/strong>\u00a0<em>via<\/em><strong> TS10. <\/strong>Both these barriers are also &lt;10 kcal\/mol of the barrier inferred from the reaction rate.<\/p>\n<figure id=\"attachment_22709\" aria-describedby=\"caption-attachment-22709\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" onclick=\"jmolApplet([450,450],'load wp-content\/uploads\/2020\/09\/TS9a.log;frame 3;spin 3;vectors on;vectors 4;vectors scale 8.0;color vectors green;vibration 6;','c1');\" class=\"size-full wp-image-22709\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS9.gif\" alt=\"\" width=\"450\" \/><figcaption id=\"caption-attachment-22709\" class=\"wp-caption-text\"><strong>TS9<\/strong><\/figcaption><\/figure>\n<p><img decoding=\"async\" class=\"aligncenter size-large wp-image-22724\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS9_tot_ener.svg\" alt=\"\" width=\"540\" \/><\/p>\n<figure id=\"attachment_22708\" aria-describedby=\"caption-attachment-22708\" style=\"width: 450px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" onclick=\"jmolApplet([450,450],'load wp-content\/uploads\/2020\/09\/TS10a.log;frame 3;spin 3;vectors on;vectors 4;vectors scale 8.0;color vectors green;vibration 4;','c2');\" class=\"size-full wp-image-22708\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS10.gif\" alt=\"\" width=\"450\" \/><figcaption id=\"caption-attachment-22708\" class=\"wp-caption-text\"><strong>TS10<\/strong><\/figcaption><\/figure>\n<p><a href=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS10_tot_ener.svg\"><img decoding=\"async\" src=\"https:\/\/rzepa.net\/blog\/wp-content\/uploads\/2020\/09\/TS10_tot_ener.svg\" alt=\"\" width=\"540\"  class=\"aligncenter size-large wp-image-22742\" \/><\/a><\/p>\n<p>We thus finally have a model which is in accord with the kinetics of this reaction. As noted above, the model can always be refined further by <em>eg<\/em> improving the base, searching for lower energy conformers of the various transition states etc. Such optimisation can often reduce barriers further by perhaps 3-4 kcal\/mol, along with the aforementioned reduction of a bimolecular reaction by increasing concentrations.<\/p>\n<p>I hope this &#8220;box set&#8221; of mechanistic investigations gives some insight into how a reaction can be explored using calculations. In this instance we also have the benefit that our final mechanism does lead to an interesting prediction. Thus <strong>Int7<\/strong> is predicted to be almost as stable as the final product. Perhaps its presence might be detectable if searched for. Identifying some\u00a0<strong>Int7<\/strong> in the reaction products would certainly provide good supporting evidence for our conclusions.<\/p>\n<hr \/>\n<p>The DOI for this post is <a href=\"https:\/\/doi.org\/10.14469\/hpc\/7387\">10.14469\/hpc\/7387<\/a><\/p>\n<hr \/>\n","protected":false},"excerpt":{"rendered":"<p>These four posts (the box set) set out to try to define the energetics for a reasonable reaction path for the Willgerodt-Kindler reaction. The rate of this reaction corresponds approximately to a free energy barrier of ~30 kcal\/mol. Any pathway found to be &gt;10 kcal\/mol at its highest point above this barrier was deemed less [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-22694","post","type-post","status-publish","format-standard","hentry","category-reaction-mechanism-2"],"_links":{"self":[{"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/posts\/22694","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/comments?post=22694"}],"version-history":[{"count":0,"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/posts\/22694\/revisions"}],"wp:attachment":[{"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/media?parent=22694"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/categories?post=22694"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rzepa.net\/blog\/wp-json\/wp\/v2\/tags?post=22694"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}