{"id":21846,"date":"2020-01-02T10:05:36","date_gmt":"2020-01-02T10:05:36","guid":{"rendered":"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=21846"},"modified":"2020-01-03T08:41:56","modified_gmt":"2020-01-03T08:41:56","slug":"comment-on-resolving-the-quadruple-bonding-conundrum-in-c2-using-insights-derived-from-excited-state-potential-energy-surfaces-the-7%cf%83-heptet-excited-states-for-related-molecules","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=21846","title":{"rendered":"Comment on &#8220;Resolving the Quadruple Bonding Conundrum in C2 Using Insights Derived from Excited State Potential Energy Surfaces&#8221;: The 7\u03a3 heptet excited states for related molecules."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"21846\">\n<p>I noted in an <a href=\"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=21772\">earlier blog<\/a>, a potential (if difficult) experimental test of the properties of the singlet state of dicarbon, C<sub>2<\/sub>. Now, just a few days ago, a ChemRxiv article has been published suggesting another (probably much more realistic) test.<span id=\"cite_ITEM-21846-0\" name=\"citation\"><a href=\"#ITEM-21846-0\">[1]<\/a><\/span>\u00a0This looks at the so-called <sup>7<\/sup>\u03a3 open shell state of the molecule where three electrons from one \u03c3 and two \u03c0 orbitals are excited into the corresponding \u03c3<sup>*<\/sup> and \u03c0<sup>*<\/sup> unoccupied orbitals.\u00a0The argument is presented that these states are not dissociative, showing a deep minimum and hence <span style=\"color: #ff0000;\"><i>a latent quadruple bonding nature<\/i><\/span>. They also note that the isoelectronic BN molecule IS dissociative.<sup>\u2020<\/sup> Thus to quote: &#8220;<i><span style=\"color: #ff0000;\">Hence, the proof of existence of a minimum in the <sup>7<\/sup>\u03a3<sub>u+<\/sub> for C<sub>2<\/sub> and the absence of such a minimum in the equivalent case for BN is likely to corroborate our findings on quadruple bonding in these two cases.<\/span>&#8220;<\/i><\/p>\n<p>Although a PES (potential energy surface) is shown for <sup>7<\/sup>\u03a3 C<sub>2<\/sub>, no vibrational wavenumber is reported. So in the spirit of a commentary on this pre-print, I have calculated these values (CCSD(T)\/Def2-TZVPP) for the molecules noted in the article and a few other isoelectronic species. The results are collected at\u00a0DOI: <a href=\"https:\/\/doi.org\/10.14469\/hpc\/6599\">10.14469\/hpc\/6599<\/a><\/p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>Property<\/th>\n<th>BeC<sup>2-<\/sup><\/th>\n<th>BB<sup>2-<\/sup><\/th>\n<th>BC<sup>1-<\/sup><\/th>\n<th>BN<\/th>\n<th>CC<\/th>\n<th>CN<sup>1+<\/sup><\/th>\n<th>NN<sup>2+<\/sup><\/th>\n<th>BeO<\/th>\n<th>BO<sup>1+<\/sup><\/th>\n<th>LiF<\/th>\n<\/tr>\n<tr>\n<td>Bond length,<br \/>\n\u00c5<\/td>\n<td>2.281<\/td>\n<td>1.858<\/td>\n<td>1.768<\/td>\n<td>3.216<\/td>\n<td>1.585<\/td>\n<td>1.638<\/td>\n<td>1.523<\/td>\n<td>2.602<\/td>\n<td>200.7<\/td>\n<td>2.179<\/td>\n<\/tr>\n<tr>\n<td>Bond stretch,<br \/>\ncm<sup>-1<\/sup><\/td>\n<td>182<\/td>\n<td>638<\/td>\n<td>699<\/td>\n<td>48<\/td>\n<td>1055<\/td>\n<td>759<\/td>\n<td>934<\/td>\n<td>363<\/td>\n<td>0.4<\/td>\n<td>626<sup>\u2021<\/sup><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The two singly occupied \u03c3-orbitals are shown below and are in part responsible for the non-dissociative behaviour. <a href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-21864\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095-300x169.jpg\" alt=\"\" width=\"300\" height=\"169\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095-300x169.jpg 300w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095.jpg 708w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a> <a href=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095a.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-21863\" src=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095a-300x187.jpg\" alt=\"\" width=\"300\" height=\"187\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095a-300x187.jpg 300w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2020\/01\/checkpoint_10062095a.jpg 656w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>The results using this method (the article reports many more methods), reveal that C<sub>2<\/sub> does indeed exist in a minimum for the heptet state, whilst the isoelectronic BN is only very weakly bound, in effect dissociative. Another dissociative isoelectronic is BO<sup>1+<\/sup>, whilst N<sub>2<\/sub><sup>2+<\/sup> despite the coulombic repulsions of a double positive charge, still manages to be bound with a relatively short bond length. A further neutral diatomic BeO is also clearly non-dissociative.<\/p>\n<p>Lets hope a spectroscopist somewhere tries to take a look at these heptet excited states of such molecules so that further experimental insight can be cast on this fascinating problem.<\/p>\n<hr \/>\n<p><sup>\u2021<\/sup>The orbital occupancy of this species is different from the others. <sup>\u2020<\/sup>As are the neutral ten valence electron N\u2261N (<a href=\"https:\/\/doi.org\/10.14469\/hpc\/6599\">confirmed here<\/a>) and HC\u2261CH.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-21846-0\">I. Bhattacharjee, D. Ghosh, and A. Paul, \"Resolving the Quadruple Bonding Conundrum in C2 Using Insights Derived from Excited State Potential Energy Surfaces: A Molecular Orbital Perspective\", 2019. <a href=\"https:\/\/doi.org\/10.26434\/chemrxiv.11446224.v1\">https:\/\/doi.org\/10.26434\/chemrxiv.11446224.v1<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 21846 -->","protected":false},"excerpt":{"rendered":"<p>I noted in an earlier blog, a potential (if difficult) experimental test of the properties of the singlet state of dicarbon, C2. Now, just a few days ago, a ChemRxiv article has been published suggesting another (probably much more realistic) test.\u00a0This looks at the so-called 7\u03a3 open shell state of the molecule where three electrons [&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":[4],"tags":[],"ppma_author":[2661],"class_list":["post-21846","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Comment on &quot;Resolving the Quadruple Bonding Conundrum in C2 Using Insights Derived from Excited State Potential Energy Surfaces&quot;: The 7\u03a3 heptet excited states for related molecules. - 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=21846\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Comment on &quot;Resolving the Quadruple Bonding Conundrum in C2 Using Insights Derived from Excited State Potential Energy Surfaces&quot;: The 7\u03a3 heptet excited states for related molecules. - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"I noted in an earlier blog, a potential (if difficult) experimental test of the properties of the singlet state of dicarbon, C2. 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