{"id":10015,"date":"2013-03-29T07:26:47","date_gmt":"2013-03-29T07:26:47","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=10015"},"modified":"2013-03-29T09:21:09","modified_gmt":"2013-03-29T09:21:09","slug":"a-sideways-look-at-the-mechanism-of-ester-hydrolysis","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=10015","title":{"rendered":"A sideways look at the mechanism of ester hydrolysis."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"10015\">\n<p>The mechanism of ester hydrolysis is a staple of examination questions in organic chemistry. To get a good grade, one might have to reproduce something like the below. Here, I subject that answer to a reality check.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-10018\" alt=\"actyl\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/actyl.svg\" width=\"420\" \/><\/p>\n<p>In this scheme, HA is a general acid, R=Me, and the net result is to break what is called the acyl-oxygen bond (red). The mechanism is actually incomplete, since the label PT designates a proton-transfer (the mechanism for which is left somewhat undefined). Additionally, a lot of charges come and go and five steps or so are involved. So a student might be tempted to &#8220;fast-track&#8221; the whole process. Below I show two such fast-tracks (I prefer to say simplifications):<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-10019\" alt=\"acetyl-ester1\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetyl-ester1.svg\" width=\"300\" \/><\/p>\n<p>In the <span style=\"color: #0000ff;\"><strong>blue mechanism<\/strong><\/span>, the role of HA is actually played by one water molecule, and a second water is assisting the PT step (a far more thorough analysis of the mechanism can be found in this reference<span id=\"cite_ITEM-10015-0\" name=\"citation\"><a href=\"#ITEM-10015-0\">[1]<\/a><\/span>). The reaction is bimolecular in ester and the HA (=water in this case). The third water would make it a termolecular reaction overall, but if the reaction takes place in water itself than [H<sub>2<\/sub>O] would be constant. It would correspond to what the text books call A<sub>AC<\/sub>2 since we consider one molecule as an acid HA. But, one could look at it differently and consider the second water as a nucleophile generated by concurrent deprotonation (by the first water). This would make it a B<sub>AC<\/sub>2 type. It turns out that if one makes the mechanism cyclic, the A<sub>AC<\/sub>2 and B<sub>AC<\/sub>2 annihilate each other in effect to create a single (peri)cyclic mechanism (which has no well known name, but might be referred to as the co-operative pathway). Such a mechanism can be extended using a third water molecule (<span style=\"color: #ff00ff;\">magenta diagram<\/span>); I will come to the reason for including that presently.<\/p>\n<p>Why would one want to even consider such mechanisms? Because, if you look carefully, you will see no charges! Charge separation (= large dipole moment) takes energy. It is normally thought that this energy is more than compensated for by additional solvation (a process which is implicit rather than explicitly shown in text-book diagrams). But if you do not generate charge separation, you might not need that solvation energy. I will turn to quantum mechanics to try to decide what might be viable (I hesitate to use the term &#8220;going on&#8221;).\u00a0<\/p>\n<p>A \u03c9B97XD\/6-311G(d,p)\/SCRF=water model (in which solvation is approximately included as a continuum model) calculation yields the following for the blue mechanism.<\/p>\n<table class=\"aligncenter\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter  wp-image-10021\" alt=\"acyl-ester\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acyl-ester.gif\" width=\"232\" height=\"217\" \/><span id=\"cite_ITEM-10015-1\" name=\"citation\"><a href=\"#ITEM-10015-1\">[2]<\/a><\/span><\/td>\n<td><img decoding=\"async\" class=\"aligncenter size-full wp-image-10022\" alt=\"acyl-ester\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acyl-ester.svg\" width=\"210\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<ol>\n<li>Points to note are that it is concerted, in other words the quantum mechanics tells us that all the bonds CAN make and break in a single concerted process within a single kinetic step.<\/li>\n<li>The mechanism has an uncanny resemblance to the <a title=\"Concerted vs stepwise (Meisenheimer) mechanisms for aromatic nucleophilic substitution.\" href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=9917\" target=\"_blank\">nucleophilic aromatic substitution<\/a> I reported a couple of posts ago! It resembles an Sn2 displacement at an sp<sup>2<\/sup> centre. Such juxtaposition of these two mechanisms is also not found in text-books. Recollect that with such aromatic substitution, it was possible to get both cncerted and stepwise mechanisms, depending on the substituents. Perhaps the same might be possible here?<\/li>\n<li>However, the energy barrier for the process with the substituents shown above (~45 kcal\/mol) is rather too high (the experimental value is estimated as &gt;22 kcal\/mol<span id=\"cite_ITEM-10015-0\" name=\"citation\"><a href=\"#ITEM-10015-0\">[1]<\/a><\/span>). There may be at least three reasons for this;\n<ul>\n<li><strong>(a)<\/strong> a better solvation model would be needed to lower the energy, <strong><\/strong><\/li>\n<li><strong>(b)<\/strong>\u00a0the angles subtended at the transferring protons are strained (they optimally should be linear) and<\/li>\n<li><strong>(c)<\/strong>\u00a0water is a very poor general acid (or base)!<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p>But as an answer in an examination, would the blue mechanism actually be wrong? You will have to ask the instructor setting the question how they might respond to that, although these authors<span id=\"cite_ITEM-10015-0\" name=\"citation\"><a href=\"#ITEM-10015-0\">[1]<\/a><\/span> certainly conclude that such a concerted mechanism is the more &#8220;correct&#8221;, at least for hydrolysis in water without added acid or base.<\/p>\n<p>Point <strong>\u00a0(b)<\/strong> above can be addressed by adding another water molecule, as per the <strong><span style=\"color: #ff00ff;\">magenta mechanism <\/span><\/strong><span style=\"color: #ff00ff;\"><span style=\"color: #000000;\">so as to enlarge the ring and reduce the angular strain.<\/span><\/span>\u00a0But before I present the results, I need to &#8220;normalise&#8221; the system by ALSO adding one (solvating) water molecule to the blue route, as below, so that we can directly compare the energies of the blue and magenta pathways.<\/p>\n<div id=\"attachment_10025\" style=\"width: 197px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10025\" class=\" wp-image-10025 \" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2013\/03\/acetyl-2H2O-H2O-497.517153.log;frame 11;vectors on;vectors 4;vectors scale 5.0; color vectors magenta; vibration 10;animation mode loop;');\" alt=\"Click for  3D.\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetyl-2H2O-H2O.jpg\" width=\"187\" height=\"207\" \/><p id=\"caption-attachment-10025\" class=\"wp-caption-text\">Click for 3D.<\/p><\/div>\n<p>The result is a larger ring where the angular strain is clearly reduced. There is an entropic penalty for introducing that third water molecule, but despite this the free energy comes out 5.5 kcal\/mol lower, and the activation barrier is also lower (~37 kcal\/mol, still rather higher than experiment). It has been reported that incorporation of a 4th water molecule further improves matters<span id=\"cite_ITEM-10015-0\" name=\"citation\"><a href=\"#ITEM-10015-0\">[1]<\/a><\/span>.<\/p>\n<table class=\"aligncenter\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter  wp-image-10051\" alt=\"acetyl3H2Oa\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetyl3H2Oa.gif\" width=\"226\" height=\"202\" \/><span id=\"cite_ITEM-10015-2\" name=\"citation\"><a href=\"#ITEM-10015-2\">[3]<\/a><\/span>\u00a0<\/td>\n<td><img decoding=\"async\" class=\"aligncenter size-full wp-image-10050\" alt=\"acetyl3H2Oa\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetyl3H2Oa.svg\" width=\"210\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>We can also address both points <strong>(b)<\/strong> and <strong>(c)<\/strong> above by replacing HA=H<sub>2<\/sub>O by HA=guanidiniumH<sup>+<\/sup> (green), a better general acid. This polar modification introduces the ability for the system to better sustain charge separations, and indeed the initial product is now an ion pair tetrahedral intermediate (methoxide anion and guanidinium cation) carrying a dipole moment of 14.5D, an increase over the value for the transition state with three waters, 9.7D. The barrier (~21 kcal\/mol) has gone in the opposite direction, decreasing significantly compared to the water catalysed reaction. The<strong>\u00a0tetrahedral intermediate<\/strong> sits in an energy well of ~4 kcal\/mol.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-10029\" alt=\"acetyl-ester2\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetyl-ester2.svg\" \/><\/p>\n<table class=\"aligncenter\" border=\"0\" align=\"center\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" class=\"aligncenter  wp-image-10042\" alt=\"acet-g\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acet-g.gif\" width=\"220\" \/><span id=\"cite_ITEM-10015-3\" name=\"citation\"><a href=\"#ITEM-10015-3\">[4]<\/a><\/span><\/td>\n<td><img decoding=\"async\" class=\"aligncenter size-full wp-image-10043\" alt=\"acet-g\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acet-g.svg\" width=\"210\" \/><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A second transition state exiting the tetrahedral intermediate has a free energy barrier<span id=\"cite_ITEM-10015-4\" name=\"citation\"><a href=\"#ITEM-10015-4\">[5]<\/a><\/span> about 2.5 kcal\/ol lower than the one entering it.<\/p>\n<div id=\"attachment_10054\" style=\"width: 270px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10054\" class=\" wp-image-10054 \" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2013\/03\/acetylg-550.038857.log;frame 31;vectors on;vectors 4;vectors scale 5.0; color vectors blue; vibration 10;animation mode loop;');\" alt=\"Click for  3D.\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/acetylg-part2.gif\" width=\"260\" height=\"197\" \/><p id=\"caption-attachment-10054\" class=\"wp-caption-text\">Click for 3D.<\/p><\/div>\n<p>What might we have learnt? That ester hydrolysis using pure water could proceed through a cyclic and concerted transition state, involving three (or perhaps more) water molecules passing a proton baton along the chain, and in the process avoiding any large build up of charge separation. Replace two of these waters with say guanidine as a general acid\/conjugate base capable of conjugatively stabilising charge-separated species and the mechanism changes to a stepwise reaction involving a dipolar tetrahedral intermediate sitting in a relatively shallow energy well.<\/p>\n<p>Not possibly a picture that we might expect a student sitting an introductory examination in organic chemistry to reflect in its entirety, but also one that perhaps the text-books might start to hint at? Or: at some stage, armed \u00a0merely with a &#8220;smart watch-cum-supercomputer&#8221;, a student taking such an exam might respond by performing the calculations described here as their submitted answer? Well, not for a year or two perhaps. But it has to be said that everything you see in this post was performed over less than two days of elapsed time, so these &#8220;reality checks&#8221; are not that time-consuming. Whether you choose to believe them or not of course is another matter.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-10015-0\">Z. Shi, Y. Hsieh, N. Weinberg, and S. Wolfe, \"The neutral hydrolysis of methyl acetate \u2014 Part 2. Is there a tetrahedral intermediate?\", <i>Canadian Journal of Chemistry<\/i>, vol. 87, pp. 544-555, 2009. <a href=\"https:\/\/doi.org\/10.1139\/v09-011\">https:\/\/doi.org\/10.1139\/v09-011<\/a>\n\n<\/li>\n<li id=\"ITEM-10015-1\">H.S. Rzepa, \"Gaussian Job Archive for C3H10O4\", 2013. <a href=\"https:\/\/doi.org\/10.6084\/m9.figshare.661351\">https:\/\/doi.org\/10.6084\/m9.figshare.661351<\/a>\n\n<\/li>\n<li id=\"ITEM-10015-2\">H.S. Rzepa, \"Gaussian Job Archive for C3H12O5\", 2013. <a href=\"https:\/\/doi.org\/10.6084\/m9.figshare.661789\">https:\/\/doi.org\/10.6084\/m9.figshare.661789<\/a>\n\n<\/li>\n<li id=\"ITEM-10015-3\">H.S. Rzepa, \"Gaussian Job Archive for C4H13N3O3\", 2013. <a href=\"https:\/\/doi.org\/10.6084\/m9.figshare.661791\">https:\/\/doi.org\/10.6084\/m9.figshare.661791<\/a>\n\n<\/li>\n<li id=\"ITEM-10015-4\">H.S. Rzepa, \"Gaussian Job Archive for C4H13N3O3\", 2013. <a href=\"https:\/\/doi.org\/10.6084\/m9.figshare.661799\">https:\/\/doi.org\/10.6084\/m9.figshare.661799<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 10015 -->","protected":false},"excerpt":{"rendered":"<p>The mechanism of ester hydrolysis is a staple of examination questions in organic chemistry. To get a good grade, one might have to reproduce something like the below. Here, I subject that answer to a reality check. In this scheme, HA is a general acid, R=Me, and the net result is to break what is [&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,"activitypub_content_warning":"","activitypub_content_visibility":"","activitypub_max_image_attachments":5,"activitypub_interaction_policy_quote":"anyone","activitypub_status":"","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":[],"tags":[1034,1035,24,1032,1020,40,843,1031,1033,373],"ppma_author":[2661],"class_list":["post-10015","post","type-post","status-publish","format-standard","hentry","tag-also","tag-co-operative","tag-energy","tag-energy-well","tag-ester-hydrolysis","tag-free-energy","tag-reaction-mechanism","tag-shallow-energy","tag-solvation-energy","tag-tutorial-material"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>A sideways look at the mechanism of ester hydrolysis. - Henry Rzepa&#039;s Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=10015\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A sideways look at the mechanism of ester hydrolysis. - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"The mechanism of ester hydrolysis is a staple of examination questions in organic chemistry. To get a good grade, one might have to reproduce something like the below. Here, I subject that answer to a reality check. 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To get a good grade, one might have to reproduce something like the below. Here, I subject that answer to a reality check. 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There is a much rarer alternative: alkyl-oxygen cleavage (green bond) which I now place under the microscope. Here, guanidine is used as a general acid\/base, which results in a reasonable activation barrier for\u2026","rel":"","context":"In \"acetic acid\"","block_context":{"text":"acetic acid","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?tag=acetic-acid"},"img":{"alt_text":"alkylg","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/03\/alkylg.gif?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":5114,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=5114","url_meta":{"origin":10015,"position":1},"title":"Mechanism of the reduction of a carboxylic acid by borane: revisited and revised.","author":"Henry Rzepa","date":"October 16, 2011","format":false,"excerpt":"I asked a while back\u00a0whether blogs could be considered a serious form of scholarly scientific communication (and so has Peter Murray-Rust more recently). A case for doing so might be my post of about a year ago, addressing why borane reduces a carboxylic acid, but not its ester, where I\u2026","rel":"","context":"In &quot;Interesting chemistry&quot;","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/10\/acyloxy1-page001.svg","width":350,"height":200},"classes":[]},{"id":23522,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=23522","url_meta":{"origin":10015,"position":2},"title":"A computational mechanism for the aqueous hydrolysis of a ketal to a ketone and alcohol.","author":"Henry Rzepa","date":"April 1, 2021","format":false,"excerpt":"The previous post was about an insecticide and made a point that the persistence of both insecticides and herbicides is an important aspect of their environmental properties. Water hydrolysis will degrade them, a typical residency time being in the order of a few days. I noted in passing a dioxepin-based\u2026","rel":"","context":"In &quot;reaction mechanism&quot;","block_context":{"text":"reaction mechanism","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1086"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2021\/03\/R-1024x699.jpg?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":23562,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=23562","url_meta":{"origin":10015,"position":3},"title":"Dimethyl ketal hydrolysis catalysed by hydroxide and hydronium ions","author":"Henry Rzepa","date":"April 7, 2021","format":false,"excerpt":"In the preceding post, I looked at a computed mechanism for the hydrolysis of a ketal by water. Of course, pure water consists of three potential catalysts, water itself or [H2O], and the products of autoionisation, [OH-] and\u00a0[H3O+]. The latter are in much smaller concentration, equivalent to a penalty of\u2026","rel":"","context":"In &quot;reaction mechanism&quot;","block_context":{"text":"reaction mechanism","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1086"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2021\/04\/ketyl-hydroxyl.gif?resize=350%2C200&ssl=1","width":350,"height":200},"classes":[]},{"id":14823,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=14823","url_meta":{"origin":10015,"position":4},"title":"The roles of water in the hydrolysis of an acetal.","author":"Henry Rzepa","date":"November 18, 2015","format":false,"excerpt":"In the previous post, I pondered how a substituent (X below) might act to slow down the hydrolysis of an acetal. Here I extend that by probing\u00a0the role of water molecules\u00a0in the mechanism of acetal hydrolysis. Water molecules can participate in three ways: One water acts as a nucleophile to\u2026","rel":"","context":"In &quot;reaction mechanism&quot;","block_context":{"text":"reaction mechanism","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1086"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":10184,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=10184","url_meta":{"origin":10015,"position":5},"title":"Intermediates in oxime formation from hydroxylamine and propanone: now you see them, now you don&#8217;t.","author":"Henry Rzepa","date":"April 14, 2013","format":false,"excerpt":"A recent theme here has been to subject to scrutiny well-known mechanisms supposedly involving intermediates. These transients can often involve the creation\/annihilation of charge separation resulting from \u00a0proton transfers, something that a cyclic mechanism can avoid. 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