{"id":13003,"date":"2014-11-01T17:18:34","date_gmt":"2014-11-01T17:18:34","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=13003"},"modified":"2014-11-01T17:18:34","modified_gmt":"2014-11-01T17:18:34","slug":"more-simple-experiments-with-crystal-data-the-pyramidalisation-of-nitrogen","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=13003","title":{"rendered":"More simple experiments with crystal data. The pyramidalisation of nitrogen."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"13003\">\n<p>We are approaching 1 million recorded crystal structures (actually, around 716,000 in the CCDC and just over 300,00 in <a href=\"http:\/\/www.crystallography.net\" target=\"_blank\">COD<\/a>). One delight with having this wealth of information is the simple little explorations that can take just a minute or so to do. This one was sparked by my helping a colleague update a set of interactive <a href=\"http:\/\/www.ch.ic.ac.uk\/local\/organic\/stereochemistry\/\" target=\"_blank\">lecture demos<\/a> dealing with stereochemistry. Three of the examples included\u00a0molecules where chirality originates in stereogenic centres with just three attached groups. An example might be a sulfoxide, for which the priority rule\u00a0is to assign the lone pair present with atomic number zero. The issue then arises as to whether this centre is configurationally stable,<em> i.e.<\/em> does it invert in an umbrella motion slowly or quickly. \u00a0My initial intention was to see if crystal structures could cast any light at all on this aspect.<\/p>\n<div id=\"attachment_13005\" style=\"width: 174px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/pyramidal.jpg\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13005\" data-attachment-id=\"13005\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13005\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/pyramidal.jpg?fit=164%2C139&amp;ssl=1\" data-orig-size=\"164,139\" 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=\"pyramidal\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/pyramidal.jpg?fit=164%2C139&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/pyramidal.jpg?fit=164%2C139&amp;ssl=1\" class=\"wp-image-13005 size-full\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/pyramidal.jpg?resize=164%2C139\" alt=\"pyramidal\" width=\"164\" height=\"139\" \/><\/a><p id=\"caption-attachment-13005\" class=\"wp-caption-text\">Central atom has three bonded atoms as C, of which either all three must themselves have four attached atoms, or one can have just three attached atoms as shown above, along with acyclic character for the three bonds attached to the central atom, R \u2264 0.1, not disordered and no errors.<\/p><\/div>\n<p>Using the search definition above\u00a0for R<sub>3<\/sub>N one gets the result below. It shows a hot spot for an angle subtended at the nitrogen of ~111\u00b0, indicating a pyramidal nitrogen. But how easily is that perturbed? (which is almost like asking how easily can it invert its configuration?).<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13007\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13007\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?fit=732%2C383&amp;ssl=1\" data-orig-size=\"732,383\" 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=\"R3N-sp3\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;R3N,  all sp3 attached carbons&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?fit=300%2C156&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?fit=450%2C235&amp;ssl=1\" class=\"size-full wp-image-13007 aligncenter\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?w=400\" alt=\"R3N, all sp3 attached carbons\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?w=732&amp;ssl=1 732w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-sp3.jpg?resize=300%2C156&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>A\u00a0perturbation can be\u00a0applied by\u00a0changing just\u00a0one of the attached carbons as having three attached atoms of its own (sp<sup>2<\/sup> hybridised). The response is that the hot spot moves to 120\u00b0 (below). Of course now this includes compounds such as amides and the like. But we have learnt that it\u00a0takes just one such attached\u00a0sp<sup>2<\/sup>\u00a0hybridised carbon\u00a0to planarize an adjacent nitrogen.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13011\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13011\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?fit=732%2C383&amp;ssl=1\" data-orig-size=\"732,383\" 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=\"R3N-1sp2-2sp3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?fit=300%2C156&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?fit=450%2C235&amp;ssl=1\" class=\"aligncenter size-full wp-image-13011\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?w=400\" alt=\"R3N-1sp2-2sp3\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?w=732&amp;ssl=1 732w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3N-1sp2-2sp3.jpg?resize=300%2C156&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>The control experiment will now be to apply the same test\u00a0to a <strong>P<\/strong>. The hot spot moves from ~99\u00b0 (P with three sp<sup>3<\/sup> carbons attached) to ~103\u00b0 (P with two sp<sup>3<\/sup>\u00a0and one sp<sup>2<\/sup>). This reminds us that the overlap and energy-match between a p-orbital on carbon\u00a0to an adjacent p-orbital on nitrogen\u00a0is good, whereas the same overlap\/energy match\u00a0to\u00a0a p-orbital on\u00a0P is significantly less so.<br \/>\n<a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13010\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13010\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?fit=732%2C383&amp;ssl=1\" data-orig-size=\"732,383\" 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=\"R3P-sp3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?fit=300%2C156&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?fit=450%2C235&amp;ssl=1\" class=\"aligncenter size-full wp-image-13010\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?w=400\" alt=\"R3P-sp3\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?w=732&amp;ssl=1 732w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-sp3.jpg?resize=300%2C156&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13012\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13012\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?fit=732%2C383&amp;ssl=1\" data-orig-size=\"732,383\" 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=\"R3P-1sp2-2sp3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?fit=300%2C156&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?fit=450%2C235&amp;ssl=1\" class=\"aligncenter size-full wp-image-13012\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?w=400\" alt=\"R3P-1sp2-2sp3\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?w=732&amp;ssl=1 732w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3P-1sp2-2sp3.jpg?resize=300%2C156&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>One gets the same result when the central atom is S; the hotspot moves from ~102\u00b0 to ~105\u00b0. Unfortunately, not enough compounds are known for a tri-substituted oxygen compounds to see how this element responds.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13014\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13014\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?fit=734%2C380&amp;ssl=1\" data-orig-size=\"734,380\" 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=\"R3S-sp3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?fit=300%2C155&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?fit=450%2C233&amp;ssl=1\" class=\"aligncenter size-full wp-image-13014\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?w=400\" alt=\"R3S-sp3\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?w=734&amp;ssl=1 734w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-sp3.jpg?resize=300%2C155&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><a href=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg\"><img data-recalc-dims=\"1\" decoding=\"async\" data-attachment-id=\"13015\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=13015\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?fit=734%2C380&amp;ssl=1\" data-orig-size=\"734,380\" 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=\"R3S-1sp2-2sp3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?fit=300%2C155&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?fit=450%2C233&amp;ssl=1\" class=\"aligncenter size-full wp-image-13015\" src=\"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?w=400\" alt=\"R3S-1sp2-2sp3\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?w=734&amp;ssl=1 734w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2014\/11\/R3S-1sp2-2sp3.jpg?resize=300%2C155&amp;ssl=1 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>My point in illustrating these statistics is to show how much text-book chemistry can be recovered simply by a few quick explorations of crystal structures. One could even argue that much introductory chemistry could be taught by reference to the statistics of such\u00a0structures.<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 13003 -->","protected":false},"excerpt":{"rendered":"<p>We are approaching 1 million recorded crystal structures (actually, around 716,000 in the CCDC and just over 300,00 in COD). One delight with having this wealth of information is the simple little explorations that can take just a minute or so to do. This one was sparked by my helping a colleague update a set [&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":[3,1754],"tags":[147,1273,1009],"class_list":["post-13003","post","type-post","status-publish","format-standard","hentry","category-chemical-it","category-crystal_structure_mining","tag-energy","tag-overlapenergy-match","tag-search-definition"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-3nJ","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/13003","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=13003"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/13003\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=13003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=13003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=13003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}