{"id":22391,"date":"2020-05-25T12:35:33","date_gmt":"2020-05-25T11:35:33","guid":{"rendered":"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=22391"},"modified":"2020-05-25T12:35:33","modified_gmt":"2020-05-25T11:35:33","slug":"the-strongest-bond-in-the-universe-a-crystallographic-reality-check","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=22391","title":{"rendered":"The strongest bond in the universe: A crystallographic reality check?"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"22391\">\n<p>My <a href=\"https:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=22378\">previous<\/a> two posts on the topic of strongest bonds have involved mono and diprotonating N<sub>2<\/sub> and using quantum mechanics to predict the effect this has on the N-N bond <em>via<\/em> its length and vibrational stetching mode. Such species are very unlikely to be easily observed for verification. But how about a metal M<sup>+<\/sup> instead of H<sup>+<\/sup>? It turns out that structures containing the fragment Ru-N\u2261N-Ru are a small but well studied class of organometallic. Here is a search of the CSD crystal database for this motif.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22393\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=22393\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?fit=1380%2C962&amp;ssl=1\" data-orig-size=\"1380,962\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Screenshot 33\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?fit=300%2C209&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?fit=450%2C314&amp;ssl=1\" class=\"aligncenter size-large wp-image-22393\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?resize=450%2C314&#038;ssl=1\" alt=\"\" width=\"450\" height=\"314\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?resize=1024%2C714&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?resize=300%2C209&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?resize=768%2C535&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?w=1380&amp;ssl=1 1380w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-33.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>The three examples showing the shortest N-N distances are shown below.<span id=\"cite_ITEM-22391-0\" name=\"citation\"><a href=\"#ITEM-22391-0\">[1]<\/a><\/span>,<span id=\"cite_ITEM-22391-1\" name=\"citation\"><a href=\"#ITEM-22391-1\">[2]<\/a><\/span><span id=\"cite_ITEM-22391-2\" name=\"citation\"><a href=\"#ITEM-22391-2\">[3]<\/a><\/span><\/p>\n<p><a href=\"https:\/\/doi.org\/10.5517\/ccnxk47\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22396\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=22396\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?fit=1260%2C1110&amp;ssl=1\" data-orig-size=\"1260,1110\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"jendow\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?fit=300%2C264&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?fit=450%2C396&amp;ssl=1\" class=\"aligncenter size-large wp-image-22396\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?resize=450%2C396&#038;ssl=1\" alt=\"\" width=\"450\" height=\"396\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?resize=1024%2C902&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?resize=300%2C264&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?resize=768%2C677&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?w=1260&amp;ssl=1 1260w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/jendow.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a> <a href=\"https:\/\/doi.org\/10.5517\/cc13qpp6\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22395\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=22395\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?fit=1356%2C1058&amp;ssl=1\" data-orig-size=\"1356,1058\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"xoxbar\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?fit=300%2C234&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?fit=450%2C351&amp;ssl=1\" class=\"aligncenter size-large wp-image-22395\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?resize=450%2C351&#038;ssl=1\" alt=\"\" width=\"450\" height=\"351\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?resize=1024%2C799&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?resize=300%2C234&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?resize=768%2C599&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?w=1356&amp;ssl=1 1356w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/xoxbar.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a> <a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22394\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=22394\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?fit=1134%2C1057&amp;ssl=1\" data-orig-size=\"1134,1057\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"qinzug\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?fit=300%2C280&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?fit=450%2C419&amp;ssl=1\" class=\"aligncenter size-large wp-image-22394\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?resize=450%2C419&#038;ssl=1\" alt=\"\" width=\"450\" height=\"419\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?resize=1024%2C954&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?resize=300%2C280&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?resize=768%2C716&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?w=1134&amp;ssl=1 1134w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/qinzug.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>The NN distances for these three examples are in the region of 1.1\u00c5. There are 39 structures in total, for a variety of other transition metals, with a length &lt;1.15\u00c5. The angles subtended at N are close to linear;<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"22400\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=22400\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?fit=1264%2C840&amp;ssl=1\" data-orig-size=\"1264,840\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Screenshot 38\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?fit=300%2C199&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?fit=450%2C299&amp;ssl=1\" class=\"aligncenter size-large wp-image-22400\" src=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?resize=450%2C299&#038;ssl=1\" alt=\"\" width=\"450\" height=\"299\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?resize=1024%2C681&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?resize=300%2C199&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?resize=768%2C510&amp;ssl=1 768w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?w=1264&amp;ssl=1 1264w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2020\/05\/Screenshot-38.jpg?w=900&amp;ssl=1 900w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>For comparison, N<sub>2<\/sub> itself entrained into a crystal structure has the value of ~<a href=\"https:\/\/doi.org\/10.5517\/ccdc.csd.cc1p1ftz\">1.096<\/a>\u00c5 as measured at 80K (R-factor 0.84%)<span id=\"cite_ITEM-22391-3\" name=\"citation\"><a href=\"#ITEM-22391-3\">[4]<\/a><\/span>) which is pretty similar to the value computed in the previous post (1.103\u00c5). \u00a0<\/p>\n<p>So the question to ask is whether any of these organometallic examples have an NN bond at least as strong as that in dinitrogen itself? Only a reliable value for the force constant will give us a clear picture, which however would be non-trivial for such species. But it does suggest that asking whether there could be a real candidate for the strongest bond in the universe other than N<sub>2<\/sub> itself may not be entirely futile.<\/p>\n<p>&nbsp;<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-22391-0\">Y. Sun, H. Chan, and Z. Xie, \"Reaction Scope and Mechanism of Sterically Induced Ruthenium-Mediated Intramolecular Coupling of&lt;i&gt;o&lt;\/i&gt;-Carboranyl with Cyclopentadienyl. Synthesis and Structure of Ruthenium Complexes Incorporating Doubly Linked Cyclopentadienyl\u2212Carboranyl Ligands\", <i>Organometallics<\/i>, vol. 25, pp. 4188-4195, 2006. <a href=\"https:\/\/doi.org\/10.1021\/om0604122\">https:\/\/doi.org\/10.1021\/om0604122<\/a>\n\n<\/li>\n<li id=\"ITEM-22391-1\">Y. Tanabe, S. Kuriyama, K. Arashiba, K. Nakajima, and Y. Nishibayashi, \"Synthesis and Reactivity of Ruthenium Complexes Bearing Arsenic-Containing Arsenic-Nitrogen-Arsenic-Type Pincer Ligand\", <i>Organometallics<\/i>, vol. 33, pp. 5295-5300, 2014. <a href=\"https:\/\/doi.org\/10.1021\/om5006116\">https:\/\/doi.org\/10.1021\/om5006116<\/a>\n\n<\/li>\n<li id=\"ITEM-22391-2\">K. Abdur-Rashid, D.G. Gusev, A.J. Lough, and R.H. Morris, \"Synthesis and Characterization of RuH&lt;sub&gt;2&lt;\/sub&gt;(H&lt;sub&gt;2&lt;\/sub&gt;)&lt;sub&gt;2&lt;\/sub&gt;(P&lt;sup&gt;i&lt;\/sup&gt;Pr&lt;sub&gt;3&lt;\/sub&gt;)&lt;sub&gt;2&lt;\/sub&gt; and Related Chemistry. Evidence for a Bis(dihydrogen) Structure\", <i>Organometallics<\/i>, vol. 19, pp. 1652-1660, 2000. <a href=\"https:\/\/doi.org\/10.1021\/om990669i\">https:\/\/doi.org\/10.1021\/om990669i<\/a>\n\n<\/li>\n<li id=\"ITEM-22391-3\">C. Dou, W. Kosaka, and H. Miyasaka, \"Gate-open-type Sorption in a Zigzag Paddlewheel Ru Dimer Chain Compound with a Phenylenediamine Linker Instructed by a Preliminary Structural Change of Desolvation\", <i>Chemistry Letters<\/i>, vol. 46, pp. 1288-1291, 2017. <a href=\"https:\/\/doi.org\/10.1246\/cl.170509\">https:\/\/doi.org\/10.1246\/cl.170509<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 22391 -->","protected":false},"excerpt":{"rendered":"<p>My previous two posts on the topic of strongest bonds have involved mono and diprotonating N2 and using quantum mechanics to predict the effect this has on the N-N bond via its length and vibrational stetching mode. Such species are very unlikely to be easily observed for verification. But how about a metal M+ instead [&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":[1754],"tags":[],"class_list":["post-22391","post","type-post","status-publish","format-standard","hentry","category-crystal_structure_mining"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-5P9","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/22391","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=22391"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/22391\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22391"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22391"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22391"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}