{"id":15415,"date":"2016-01-07T14:15:43","date_gmt":"2016-01-07T14:15:43","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=15415"},"modified":"2016-01-07T14:15:43","modified_gmt":"2016-01-07T14:15:43","slug":"ive-started-so-ill-finish-the-ionisation-mechanism-and-kinetic-isotope-effects-for-13-dimethylindolin-2-one","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=15415","title":{"rendered":"I\u2019ve started so I\u2019ll finish. The ionisation mechanism and kinetic isotope effects for 1,3-dimethylindolin-2 one"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"15415\">\n<p>    This is the third and final study deriving from my Ph.D.<span id=\"cite_ITEM-15415-0\" name=\"citation\"><a href=\"#ITEM-15415-0\">[1]<\/a><\/span>. The first two topics dealt with the mechanism of heteroaromatic electrophilic attack using either a diazonium cation or a proton as electrophile, followed by either proton abstraction or carbon dioxide loss from the resulting Wheland intermediate. This final study inverts this sequence&nbsp;by starting with the proton abstraction from an indolinone by a base to create\/aromatize to a indole-2-enolate intermediate, which only then is followed by electrophilic attack (by iodine).&nbsp;&nbsp;Here&nbsp;I explore what light quantum chemical modelling might cast on the mechanism.<\/p>\n<p>    <a href=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone.svg\"><img decoding=\"async\" alt=\"Indole diazocoupling\" class=\"aligncenter size-full wp-image-14967\" src=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone.svg\" style=\"text-align: justify;\" width=\"440\" \/><\/a><\/p>\n<p>    The&nbsp;concentration of <strong>I<sub>3<\/sub><\/strong><sup><strong>&#8211;<\/strong> <\/sup>is used to follow the reaction,&nbsp;given by the expression:&nbsp;<span style=\"color:#FF0000;\">&nbsp;[I<sub>3<\/sub><sup>&#8211;<\/sup>] = k<sub>1<\/sub>[B][indolinone]<em>t &#8211;<\/em>&nbsp;k<sub>-1<\/sub>\/k<sub>2<span style=\"font-size:14px;\"><sup>*<\/sup><\/span><\/sub>ln[<strong>I<sub>3<\/sub><sup>&#8211;<\/sup><\/strong>] + const,&nbsp;<\/span>where <span style=\"color:#FF0000;\">&nbsp;k<sub>2<\/sub><span style=\"font-size:14px;\">*<\/span> = k<sub>2<\/sub>\/715[<strong>I<sup>&#8211;<\/sup><\/strong>] + k<sub>2<\/sub>&#39; <\/span>, the latter being&nbsp;the rate coefficient for the reaction between the enolate intermediate and&nbsp;I<sub>3<\/sub><sup>&#8211;<\/sup>.&nbsp;With appropriate least squares analysis of this&nbsp;rate equation,<sup>&Dagger;<\/sup> a value for&nbsp;k<sub>1<\/sub> using either <sup>1<\/sup>H or <sup>2<\/sup>H (&equiv; D) isotopes can be extracted and this gives an isotope effect k<sub>1<\/sub><sup>H<\/sup>\/k<sub>1<\/sub><sup>D<\/sup> of 6.3 &plusmn; 0.6. Note that this value does&nbsp;NOT depend on [B].&nbsp;Here, I am going to try to see if I can construct a quantum mechanical model which reproduces this value.<\/p>\n<p>    <a href=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone1.svg\"><img decoding=\"async\" alt=\"Indole diazocoupling\" class=\"aligncenter size-full wp-image-14967\" src=\"https:\/\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone1.svg\" style=\"text-align: justify;\" width=\"440\" \/><\/a><\/p>\n<ol>\n<li>\n        Model <strong>1<\/strong> uses just three water molecules as a proton relay (B3LYP+D3\/Def2-TZVP\/SCRF=water).\n    <\/li>\n<li>\n        Model <strong>2<\/strong>&nbsp;uses 2H<sub>2<\/sub>O.NaOH&nbsp;solvated by two extra passive water molecules. Since under these conditions, the NaOH is largely ionic, [B] &equiv; [OH<sup>&#8211;<\/sup>]\n    <\/li>\n<\/ol>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>\n                Model\n            <\/th>\n<th>\n                &Delta;G<sup>&Dagger;<\/sup><sub>298<\/sub> (&Delta;H<sup>&Dagger;<\/sup><sub>298<\/sub>)\n            <\/th>\n<th>\n                k<sup>H<\/sup>\/k<sup>D<\/sup> (298K)\n            <\/th>\n<th>\n                DataDOIs\n            <\/th>\n<\/tr>\n<tr>\n<td>\n                1\n            <\/td>\n<td>\n                28.0 (22.9)\n            <\/td>\n<td>\n                10.3\n            <\/td>\n<td>\n                <span id=\"cite_ITEM-15415-1\" name=\"citation\"><a href=\"#ITEM-15415-1\">[2]<\/a><\/span>,<span id=\"cite_ITEM-15415-2\" name=\"citation\"><a href=\"#ITEM-15415-2\">[3]<\/a><\/span>,<span id=\"cite_ITEM-15415-3\" name=\"citation\"><a href=\"#ITEM-15415-3\">[4]<\/a><\/span>\n            <\/td>\n<\/tr>\n<tr>\n<td>\n                2\n            <\/td>\n<td>\n                2.5 (2.8)\n            <\/td>\n<td>\n                4.4\n            <\/td>\n<td>\n                <span id=\"cite_ITEM-15415-4\" name=\"citation\"><a href=\"#ITEM-15415-4\">[5]<\/a><\/span>,<span id=\"cite_ITEM-15415-5\" name=\"citation\"><a href=\"#ITEM-15415-5\">[6]<\/a><\/span>,<span id=\"cite_ITEM-15415-6\" name=\"citation\"><a href=\"#ITEM-15415-6\">[7]<\/a><\/span>\n            <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>    The plot of rate vs [B] shows<span id=\"cite_ITEM-15415-0\" name=\"citation\"><a href=\"#ITEM-15415-0\">[1]<\/a><\/span> that the uncatalysed (water) rate is very slow (intercept passes more or less through zero)&nbsp;and the calculated free energy barrier (28.0 kcal\/mol) confirms a slow rate at ambient temperatures. Note in the final (aromatized) product, there is a noticeable hydrogen bond between the 3-carbon and a water molecule (2.14&Aring;). The calculated kinetic isotope effect<span id=\"cite_ITEM-15415-7\" name=\"citation\"><a href=\"#ITEM-15415-7\">[8]<\/a><\/span> is substantially larger than observed experimentally for the base catalysed contribution.<\/p>\n<p>    <img data-recalc-dims=\"1\" decoding=\"async\" alt=\"Indolineone ionization using 3 water molecules\" class=\"aligncenter size-full wp-image-14967\" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2016\/01\/indolinone-ts-747.132069.log;frame 25;');\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone-water1.gif?w=400&#038;ssl=1\" style=\"text-align: justify;\"  \/><\/p>\n<p>    In the presence of NaOH (standard state = 1 atm = 0.044M), the enthalpy&nbsp;barrier drops very substantially to 2.8&nbsp;kcal\/mol and the free energy to 2.5&nbsp;kcal\/mol.&nbsp;Similar behaviour was noted previously on this blog for the <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=8246\" target=\"_blank\">hydrolysis of thalidomide<\/a>. Although the magnitude of the reduction in barrier in fact implies an extremely fast reaction, recollect that [B]=[OH<sup>&#8211;<\/sup>]&nbsp;appears in the rate equation&nbsp; and since&nbsp;its value is very much less than 0.044M, the&nbsp;observed rate is relatively slow.<\/p>\n<p>    <img data-recalc-dims=\"1\" decoding=\"async\" alt=\"Indolineone ionization using 3 water molecules + NaOH\" class=\"aligncenter size-full wp-image-14967\" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2016\/01\/indolinone-NaOH-TS-1061.885986.log;frame 69;');\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2016\/01\/indolinone-NaOHa.gif?w=410&#038;ssl=1\" style=\"text-align: justify;\"  \/><\/p>\n<p>    The calculated KIE for the hydroxide catalysed mechanism is much smaller that for the water route, but&nbsp;also smaller than is observed. This is a value uncorrected for tunnelling, which given the small barrier might be significant.&nbsp;<\/p>\n<p>    These calculations show how a model for ionization of indolinone can be constructed, and used to <em>e.g.<\/em> probe the sensitivity of KIE to perturbations induced by ring substituents, which may form the basis of a future post.<\/p>\n<hr \/>\n<p>    <sup>&Dagger;<\/sup>This is a non-linear equation with kinetics that straddle zero and first order behaviour. In 1972, it was not easily possible to graph such functions in a manner where the slope of a linear plot would yield the rate constant. It was only computers and languages such as&nbsp;Fortran which allowed such non-linear least squares analysis of the rate. In the event, it turned out that the presence of&nbsp;50% methanol in the mixed aqueous solutions was the cause; in other solvents the kinetics approximated zero order behavour very well.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-15415-0\">B.C. Challis, and H.S. Rzepa, \"Heteroaromatic hydrogen exchange reactions. Part VIII. The ionisation of 1,3-dimethylindolin-2-one\", <i>Journal of the Chemical Society, Perkin Transactions 2<\/i>, pp. 1822, 1975. <a href=\"https:\/\/doi.org\/10.1039\/p29750001822\">https:\/\/doi.org\/10.1039\/p29750001822<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-1\">H.S. Rzepa, \"C 10 H 17 N 1 O 4\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191786\">https:\/\/doi.org\/10.14469\/ch\/191786<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-2\">H.S. Rzepa, \"C 10 H 17 N 1 O 4\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191765\">https:\/\/doi.org\/10.14469\/ch\/191765<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-3\">H.S. Rzepa, \"C10H17NO4\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191784\">https:\/\/doi.org\/10.14469\/ch\/191784<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-4\">H.S. Rzepa, \"C 10 H 20 N 1 Na 1 O 6\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191787\">https:\/\/doi.org\/10.14469\/ch\/191787<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-5\">H.S. Rzepa, \"C 10 H 20 N 1 Na 1 O 6\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191782\">https:\/\/doi.org\/10.14469\/ch\/191782<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-6\">H.S. Rzepa, \"C10H20NNaO6\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/ch\/191785\">https:\/\/doi.org\/10.14469\/ch\/191785<\/a>\n\n<\/li>\n<li id=\"ITEM-15415-7\">H. Rzepa, \"Mechanisms and kinetic isotope effects for the base catalysed ionisation of 1,3-dimethyl indolinone.\", 2016. <a href=\"https:\/\/doi.org\/10.14469\/hpc\/202\">https:\/\/doi.org\/10.14469\/hpc\/202<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 15415 -->","protected":false},"excerpt":{"rendered":"<p>This is the third and final study deriving from my Ph.D.. The first two topics dealt with the mechanism of heteroaromatic electrophilic attack using either a diazonium cation or a proton as electrophile, followed by either proton abstraction or carbon dioxide loss from the resulting Wheland intermediate. This final study inverts this sequence&nbsp;by starting with [&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":[558,1085],"tags":[1620,1622,128,1625,1441,1442,1626,163,1582,1630,1482,1488,1633,1634],"class_list":["post-15415","post","type-post","status-publish","format-standard","hentry","category-historical","category-reaction-mechanism-2","tag-arenium-ion","tag-bases","tag-diazo","tag-diazonium-compound","tag-electrophile","tag-electrophilic-aromatic-substitution","tag-equilibrium-chemistry","tag-fortran","tag-indole","tag-light-quantum-chemical-modelling","tag-metal-ions-in-aqueous-solution","tag-nuclear-physics","tag-simple-aromatic-rings","tag-solutions"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-40D","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/15415","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=15415"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/15415\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=15415"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=15415"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=15415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}