{"id":10839,"date":"2013-07-08T13:42:25","date_gmt":"2013-07-08T12:42:25","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=10839"},"modified":"2013-07-08T13:42:25","modified_gmt":"2013-07-08T12:42:25","slug":"hexacoordinate-hydrogen","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=10839","title":{"rendered":"Hexacoordinate hydrogen."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"10839\">\n<p>A feature of a blog which is quite different from a journal article is how rapidly a topic might evolve.\u00a0Thus I started a few days ago with the theme of dicarbon (C<sub>2<\/sub>), identifying a metal carbide that showed C<sub>2<\/sub> as a ligand, but which also entrapped a single carbon in hexa-coordinated mode. A comment was posted bringing attention to the origins of the discovery of hexacoordinated carbon, and we moved on to exploring the valency in one such species (CLi<sub>6<\/sub>). Here I ask if hydrogen itself might exhibit such coordination.<\/p>\n<div id=\"attachment_10842\" style=\"width: 249px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-10842\" data-attachment-id=\"10842\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=10842\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?fit=399%2C379&amp;ssl=1\" data-orig-size=\"399,379\" 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;}\" data-image-title=\"6-H\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?fit=300%2C284&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?fit=399%2C379&amp;ssl=1\" class=\" wp-image-10842 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2013\/07\/PIMHCO10.cif;');\" alt=\"Click for  3D.\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?resize=239%2C227\" width=\"239\" height=\"227\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?w=399&amp;ssl=1 399w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/6-H.jpg?resize=300%2C284&amp;ssl=1 300w\" sizes=\"auto, (max-width: 239px) 100vw, 239px\" \/><p id=\"caption-attachment-10842\" class=\"wp-caption-text\">Click for 3D.<\/p><\/div>\n<p>In fact, such a system was first reported as long ago as 1981<span id=\"cite_ITEM-10839-0\" name=\"citation\"><a href=\"#ITEM-10839-0\">[1]<\/a><\/span>. This contains a cobalt carbonyl anion of the type [Co<sub>6<\/sub>H(CO)<sub>15<\/sub>]<sup>&#8211;<\/sup>. The hexacoordinated hydrogen had a measured <sup>1<\/sup>H NMR chemical shift of 23.2 ppm (very low field), a value normally more associated with a proton rather than a hydride.<\/p>\n<p>What does quantum mechanics say about this system? The QTAIM (\u03c9B97XD\/6=311G(d,p) calculation<span id=\"cite_ITEM-10839-1\" name=\"citation\"><a href=\"#ITEM-10839-1\">[2]<\/a><\/span>) is shown below. The green spheres represent bond critical points, and indeed six surround the central hydrogen with octahedral coordination. The value of \u03c1(r) for these varies from 0.074 to 0.082 au, which is a higher electron density than might be found for <em>e.g.<\/em> a hydrogen bond (which is typically 0.020 &#8211; 0.010 au). The individual Co&#8230;H Wiberg bond order indices are ~0.1 (the total Wiberg bond index is 0.86).<\/p>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"10850\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=10850\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?fit=1118%2C1108&amp;ssl=1\" data-orig-size=\"1118,1108\" 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;}\" data-image-title=\"Co6H-QTAIM\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?fit=300%2C297&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?fit=450%2C446&amp;ssl=1\" class=\"aligncenter size-full wp-image-10850\" alt=\"Co6H-QTAIM\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?w=450\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?w=1118&amp;ssl=1 1118w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?resize=300%2C297&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?resize=1024%2C1014&amp;ssl=1 1024w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/07\/Co6H-QTAIM.jpeg?w=900&amp;ssl=1 900w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/p>\n<p>The computed <sup>1<\/sup>H chemical shift<span id=\"cite_ITEM-10839-2\" name=\"citation\"><a href=\"#ITEM-10839-2\">[3]<\/a><\/span> (relative to TMS) of the hydrogen is 30.8 ppm, which seems to agree with an interpretation based on a proton in the interstitial cavity. However, the NBO natural charge on this hydrogen is -0.41, for a valence population of 1.40 electrons (and a Rydberg population of 0.01), which makes it more of a hydride anion than a cationic proton. NBO characterises this electron population as &#8220;Lp&#8221; (Lone pair). One might conclude from these apparently opposed indications that the deshielding of the <sup>1<\/sup>H is less to do with its resemblance to a proton, and is more due to the local magnetic currents originating from the metal atoms.<\/p>\n<p>It is still nicely surprising that even an element as small as hydrogen can sustain hexa-coordination. It also reminds that although each of the coordinations is <em>via<\/em> what can reasonably be called a bond, the hydrogen nevertheless does not exceed its maximum valence electron shell electron count of two; \u00a0in that sense it is not hypervalent.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-10839-0\">D.W. Hart, R.G. Teller, C. Wei, R. Bau, G. Longoni, S. Campanella, P. Chini, and T.F. Koetzle, \"An interstitial hydrogen atom in a hexanuclear metal cluster: x-ray and neutron diffraction analysis of [(Ph3P)2N]+[HCo6(CO)15]-\", <i>Journal of the American Chemical Society<\/i>, vol. 103, pp. 1458-1466, 1981. <a href=\"https:\/\/doi.org\/10.1021\/ja00396a028\">https:\/\/doi.org\/10.1021\/ja00396a028<\/a>\n\n<\/li>\n<li id=\"ITEM-10839-1\">H.S. Rzepa, \"Gaussian Job Archive for C15HCo6O15(1-)\", 2013. <a href=\"https:\/\/doi.org\/10.6084\/m9.figshare.741232\">https:\/\/doi.org\/10.6084\/m9.figshare.741232<\/a>\n\n<\/li>\n<li id=\"ITEM-10839-2\">\"C 15 H 1 Co 6 O 15 -1\", 2013. <a href=\"http:\/\/hdl.handle.net\/10042\/24804\">http:\/\/hdl.handle.net\/10042\/24804<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 10839 -->","protected":false},"excerpt":{"rendered":"<p>A feature of a blog which is quite different from a journal article is how rapidly a topic might evolve.\u00a0Thus I started a few days ago with the theme of dicarbon (C2), identifying a metal carbide that showed C2 as a ligand, but which also entrapped a single carbon in hexa-coordinated mode. A comment was [&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":[5,6],"tags":[88,1095,1096],"class_list":["post-10839","post","type-post","status-publish","format-standard","hentry","category-hypervalency","category-interesting-chemistry","tag-chemical-shift","tag-metal-atoms","tag-metal-carbide"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-2OP","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/10839","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=10839"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/10839\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10839"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10839"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10839"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}