{"id":2502,"date":"2010-09-19T11:23:52","date_gmt":"2010-09-19T10:23:52","guid":{"rendered":"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2502"},"modified":"2022-06-25T15:14:37","modified_gmt":"2022-06-25T14:14:37","slug":"secrets-of-a-university-admissions-interviewer","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2502","title":{"rendered":"Secrets of a university admissions interviewer"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"2502\">\n<p>Many university chemistry departments, and mine is no exception, like to invite applicants to our courses to show them around. Part of the activities on the day is an &#8220;interview&#8221; in which the candidate is given a chance to shine. Over the years, I have evolved questions about chemistry which can form the basis of discussion, and I thought I would share one such question here. It starts by my drawing on the blackboard (yes, I really still use one!) the following molecular structure.<\/p>\n<div id=\"attachment_2504\" style=\"width: 197px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-2504\" class=\"size-full wp-image-2504\" title=\"co2-trimer\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer.jpg\" alt=\"\" width=\"187\" height=\"176\" \/><\/a><p id=\"caption-attachment-2504\" class=\"wp-caption-text\">Mystery molecule.<\/p><\/div>\n<p>The candidate is then invited to offer their initial impressions of this molecule, and shortly thereafter asked how they might make it<span id=\"cite_ITEM-2502-0\" name=\"citation\"><a href=\"#ITEM-2502-0\">[1]<\/a><\/span>(or where perhaps they might be able to buy it). This of course floors even the most confident of applicants! But after a moments thought, most students can derive not only a molecular formula, but an empirical formula. From which it becomes apparent that it is actually a trimer of carbon dioxide. In the <a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2469\" target=\"_blank\" rel=\"noopener\">previous post<\/a>, I showed the structure of solid CO<sub>2<\/sub> and how an oxygen from one unit came fairly close to a carbon from another. So the next logical question might be to ask if this might lead to a molecule such as shown above. Why a trimer? Well, the aromatic core is also easily perceived, and one might expect some aromatic stabilization to result (which most of the candidates readily spot). Its also ionic, and here perhaps solvation may help stabilize. Finally, armed with <a href=\"http:\/\/en.wikipedia.org\/wiki\/Le_Chatelier's_principle\" target=\"_blank\" rel=\"noopener\">Le Chatelier&#8217;s principle<\/a>, one might conclude that pressure too would help. At this point of course, the realization normally dawns\u00a0that possibly the purchase of a carbonated soft drink in a supermarket might offer perhaps a few molecules of the above. The discussion normally takes about 10 minutes, and is guaranteed to stimulate (and quite possibly exhaust) most students.<\/p>\n<p>But here in this post,\u00a0I would like to offer the denouement. What actually are the chances of forming this species? Enter a B3LYP\/6-311G(d,p) calculation of the free energy. We can do this for various models:<\/p>\n<ol>\n<li>The trimer energy evaluated in a continuum solvent (water). This works out at \u00a083.4 kcal\/mol higher than three monomers (in part due to the entropic requirements of coalescing three molecules into one).\u00a0So, not many molecules in a fizzy drink then! (just as well perhaps, since e.g. benzene as an aromatic molecule would not be a pleasant additive).<\/li>\n<li>How aromatic is the molecule? \u00a0Well, a NICS(1) index of -2.3 ppm suggests little actual aromaticity. The C-O bond length (1.365\u00c5) is certainly short enough. The <a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=485\" target=\"_blank\" rel=\"noopener\">Kekul\u00e9 vibrational mode<\/a> however is quite low (974 cm<sup>-1<\/sup>) compared to benzene, which is ~1310 cm<sup>-1<\/sup> (remember, this mode represents how much energy it takes to distort an aromatic ring from a symmetric structure to the bond localized form).<\/li>\n<li>If its not aromatic, then perhaps after all a better representation might be:<br \/>\n<div id=\"attachment_2513\" style=\"width: 165px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer1.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-2513\" class=\"size-full wp-image-2513\" title=\"co2-trimer1\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer1.jpg\" alt=\"\" width=\"155\" height=\"136\" \/><\/a><p id=\"caption-attachment-2513\" class=\"wp-caption-text\">A better resonance structure<\/p><\/div><\/p>\n<p>It is worth asking why even this perfectly reasonable form is so much higher in free energy than carbon dioxide itself.<\/p>\n<\/li>\n<li>Would solvating the structure with three explicit water molecules help (as per below)? Deciding quite how the hydrogen bonds will form is an interesting exercise in its own right!<br \/>\n<div id=\"attachment_2508\" style=\"width: 356px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer-solv.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-2508\" class=\"size-full wp-image-2508\" title=\"co2-trimer-solv\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer-solv.jpg\" alt=\"\" width=\"346\" height=\"160\" \/><\/a><p id=\"caption-attachment-2508\" class=\"wp-caption-text\">Solvated trimer<\/p><\/div><\/p>\n<p>But now the energy is +96.8 kcal\/mol compared to the monomers. Its that entropy again!<\/p>\n<\/li>\n<li>Actually, oxygen is pretty poor at propagating aromaticity. Nitrogen is much better, so what about the following (historically, such s-triazines were in fact much better known than benzene itself in the first half of the 19th century).<br \/>\n<div id=\"attachment_2510\" style=\"width: 216px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/CN2H2-trimer.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-2510\" class=\"size-full wp-image-2510\" title=\"CN2H2-trimer\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/CN2H2-trimer.jpg\" alt=\"\" width=\"206\" height=\"198\" \/><\/a><p id=\"caption-attachment-2510\" class=\"wp-caption-text\">Carbo-diimide trimer<\/p><\/div><\/p>\n<p>This is now merely +35.8 kcal\/mol higher in free energy compared to three momers. The <a href=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=485\" target=\"_blank\" rel=\"noopener\">Kekul\u00e9 mode<\/a> is up to 1355 cm<sup>-1 <\/sup>(discuss!).<\/p>\n<p>There are many other facets of this that could be raised. But the main reason for introducing such a molecule for discussion is that just by looking at the structure, so many ideas can be explored. That, by and large, is how chemistry works.<\/p>\n<\/li>\n<\/ol>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-2502-0\">M.J. Rodig, A.W. Snow, P. Scholl, and S. Rea, \"Synthesis and Low Temperature Spectroscopic Observation of 1,3,5-Trioxane-2,4,6-Trione: The Cyclic Trimer of Carbon Dioxide\", <i>The Journal of Organic Chemistry<\/i>, vol. 81, pp. 5354-5361, 2016. <a href=\"https:\/\/doi.org\/10.1021\/acs.joc.6b00647\">https:\/\/doi.org\/10.1021\/acs.joc.6b00647<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 2502 -->","protected":false},"excerpt":{"rendered":"<p>Many university chemistry departments, and mine is no exception, like to invite applicants to our courses to show them around. Part of the activities on the day is an &#8220;interview&#8221; in which the candidate is given a chance to shine. Over the years, I have evolved questions about chemistry which can form the basis of [&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":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4],"tags":[24,40,2648,300],"ppma_author":[2661],"class_list":["post-2502","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-energy","tag-free-energy","tag-interesting-chemistry","tag-trimer-energy"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Secrets of a university admissions interviewer - 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=2502\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Secrets of a university admissions interviewer - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"Many university chemistry departments, and mine is no exception, like to invite applicants to our courses to show them around. Part of the activities on the day is an &#8220;interview&#8221; in which the candidate is given a chance to shine. Over the years, I have evolved questions about chemistry which can form the basis of [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2502\" \/>\n<meta property=\"og:site_name\" content=\"Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"article:published_time\" content=\"2010-09-19T10:23:52+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-06-25T14:14:37+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2010\/09\/co2-trimer.jpg\" \/>\n<meta name=\"author\" content=\"Henry Rzepa\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Henry Rzepa\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Secrets of a university admissions interviewer - Henry Rzepa&#039;s Blog","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=2502","og_locale":"en_GB","og_type":"article","og_title":"Secrets of a university admissions interviewer - Henry Rzepa&#039;s Blog","og_description":"Many university chemistry departments, and mine is no exception, like to invite applicants to our courses to show them around. 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It's been done for a car; now it has been reported for the pixel (picture-element). The molecule above (X=O, NR, R=aryl, etc) has been shown to be capable of acting as a molecular pixel. To give some\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":"","width":0,"height":0},"classes":[]},{"id":20778,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=20778","url_meta":{"origin":2502,"position":1},"title":"Imaging normal vibrational modes of a single molecule of CoTPP: a mystery about the nature of the imaged species.","author":"Henry Rzepa","date":"April 25, 2019","format":false,"excerpt":"Previously, I explored (computationally) the normal vibrational modes of Co(II)-tetraphenylporphyrin (CoTPP) as a \"flattened\" species on copper or gold surfaces for comparison with those recently imaged. The initial intent was to estimate the \"flattening\" energy. There are six electronic possibilities for this molecule on a metal surface. Respectively positively, or\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":"","width":0,"height":0},"classes":[]},{"id":19550,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=19550","url_meta":{"origin":2502,"position":2},"title":"A record polarity for a neutral compound?","author":"Henry Rzepa","date":"April 13, 2018","format":false,"excerpt":"In several posts a year or so ago I considered various suggestions for the most polar neutral molecules, as measured by the dipole moment. A record had been claimed for a synthesized molecule of ~14.1\u00b10.7D. I pushed this to a calculated 21.7D for an admittedly hypothetical and unsynthesized molecule. Here\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":"","width":0,"height":0},"classes":[]},{"id":17122,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=17122","url_meta":{"origin":2502,"position":3},"title":"Long C=C bonds.","author":"Henry Rzepa","date":"December 1, 2016","format":false,"excerpt":"Following on from a search for long C-C bonds, here is the same repeated for C=C double bonds. The query restricts the search to each carbon having just two non-metallic substituents. To avoid conjugation with these, they each are 4-coordinated; the carbons themselves are three-coordinated. Further constraints are the usual\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"sq","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2016\/12\/sq-1024x415.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":3462,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=3462","url_meta":{"origin":2502,"position":4},"title":"Shorter is higher: the strange case of diberyllium.","author":"Henry Rzepa","date":"January 21, 2011","format":false,"excerpt":"Much of chemistry is about bonds, but sometimes it can also be about anti-bonds. It is also true that the simplest of molecules can have quite subtle properties. Thus most undergraduate courses in chemistry deal with how to describe the bonding in the diatomics of the first row of the\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":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/01\/Be2a.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":20601,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=20601","url_meta":{"origin":2502,"position":5},"title":"Impossible molecules.","author":"Henry Rzepa","date":"April 1, 2019","format":false,"excerpt":"Members of the chemical FAIR data community have just met in Orlando (with help from the NSF, the American National Science Foundation)\u00a0to discuss how such data is progressing in chemistry. There are a lot of themes converging at the moment. Thus this article extolls the virtues of having raw NMR\u2026","rel":"","context":"In &quot;Chemical IT&quot;","block_context":{"text":"Chemical IT","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=2"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":false,"authors":[{"term_id":2661,"user_id":1,"is_guest":0,"slug":"admin","display_name":"Henry Rzepa","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","0":null,"1":"","2":"","3":"","4":"","5":"","6":"","7":"","8":""}],"_links":{"self":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2502","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2502"}],"version-history":[{"count":3,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2502\/revisions"}],"predecessor-version":[{"id":25302,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/2502\/revisions\/25302"}],"wp:attachment":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2502"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fppma_author&post=2502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}