{"id":2594,"date":"2010-10-30T10:00:12","date_gmt":"2010-10-30T09:00:12","guid":{"rendered":"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2594"},"modified":"2010-10-30T10:00:12","modified_gmt":"2010-10-30T09:00:12","slug":"rate-enhancement-of-the-diels-alder-reaction-inside-a-cavity-2","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=2594","title":{"rendered":"Rate enhancement of the Diels-Alder reaction inside a cavity"},"content":{"rendered":"
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Reactions in cavities<\/a> can adopt quite different characteristics from those in solvents. Thus first example of the catalysis of the Diels-Alder reaction inside an organic scaffold was reported by Endo, Koike, Sawaki, Hayashida, Masuda, and Aoyama (DOI: 10.1021\/ja964198s<\/a>), where the reaction shown below is speeded up very greatly in the presence of a crystalline lattice of the anthracene derivative shown below.<\/p>\n\n\n\n\n
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A Diels-Alder reaction. Click for animation.<\/p><\/div>\n<\/td>\n<\/tr>\n

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Organic scaffold based on an anthracene derivative. Click for crystal structure.<\/p><\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Its difficult to be precise about how much faster, since the kinetics depend on reorganisation of the scaffold, the actual reaction kinetics, and diffusion of the products in and out of the cavity. It does however mean that a poor solution reaction (reflux, many hours, modest yield) can be accomplished in an hour or so at room temperature in high yield.<\/p>\n

Some idea of what is going on can be probed using calculation. Because the host and the guest interact though van der Waals or dispersion forces, a new breed of density functional theory which takes these into account is used (\u03c9B97XD). The basic assemblage comprises the reactants shown below, enclosed in a cage formed by four of the anthracene units. A total of 236 atoms. This is a pretty challenging size for a full-blown quantum mechanical calculation. Here, its been done using a reasonable basis set, 6-31G(d) and with a continuum solvation model applied (dichloromethane). If you are interested in this sort of thing, that is 2292 basis functions. \u00a0I started the calculations in mid September, and its taken more than six weeks to optimise (on 8-processor computers).<\/p>\n

Firstly, the results for a control calculation<\/a> in dichloromethane.\u00a0The energies of activation of the two isolated reactants coming together at the transition state are calculated as:
\u0394G<\/span>298<\/span><\/sub> 29.5, \u0394H 15.5, T.\u0394S \u00a0-13.98 kcal mol<\/span>-1<\/span><\/sup> (\u0394S -46.9 cal K<\/span>-1<\/span><\/sup>mol<\/span>-1<\/span><\/sup>)<\/span><\/strong><\/p>\n

which are of course the various contributions to the equation \u0394G = \u0394H – T.\u0394S<\/strong>. Note in particular how the last term increases<\/strong> the free energy barrier by ~14 kcal mol-1<\/sup>!\u00a0Using the equation Ln k\/T = 23.76 – \u0394G\/RT, one can estimate a rate constant of ~4 x 10-6<\/sup> hour-1<\/sup> at 298K (i.e.<\/em> very slow at room temperatures). If the unfavourable -T.\u0394S term is ignored (\u0394G = \u0394H), the rate constant increases to ~9 x 104<\/sup> hour-1<\/sup> at 298K (i.e.<\/em> fast), quite a difference. What about the values when the reactants<\/a> and transition state<\/a> are surrounded by the host?<\/p>\n

\u0394G<\/span>298<\/span><\/sub> 20.0, \u0394H 16.5, T.\u0394S -3.49 kcal mol<\/span>-1<\/span><\/sup> (\u0394S -11.7 cal K<\/span>-1<\/span><\/sup> mol<\/span>-1<\/span><\/sup>)<\/span><\/strong><\/p>\n

The key difference is that the last term is now \u00a0much smaller, this reduces the free energy of activation and the estimated rate constant at 298K is now ~ 0.01 s-1<\/sup> (42.5 hour-1<\/sup>). \u00a0This magnitude of rate constant corresponds to a reasonably fast reaction at room temperatures.<\/p>\n

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Transition state for \u00a0Diels Alder inside a cavity. Click for 3D.<\/p><\/div>\n

This post demonstrates that the fascinating area of supermolecular chemistry can be just as amenable to computational exploration as the more conventional reaction.<\/p>\n

 <\/p>\n\n<\/div> ","protected":false},"excerpt":{"rendered":"

Reactions in cavities can adopt quite different characteristics from those in solvents. Thus first example of the catalysis of the Diels-Alder reaction inside an organic scaffold was reported by Endo, Koike, Sawaki, Hayashida, Masuda, and Aoyama (DOI: 10.1021\/ja964198s), where the reaction shown below is speeded up very greatly in the presence of a crystalline lattice […]<\/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":[6],"tags":[32,1139,164,165,168,1526,280,1529],"class_list":["post-2594","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-animation","tag-catalysis","tag-free-energy","tag-free-energy-barrier","tag-grt","tag-interesting-chemistry","tag-organic-scaffold","tag-pericyclic"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-FQ","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2594","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=2594"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2594\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2594"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2594"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2594"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}