{"id":9322,"date":"2013-02-01T20:37:31","date_gmt":"2013-02-01T20:37:31","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=9322"},"modified":"2013-02-01T20:37:31","modified_gmt":"2013-02-01T20:37:31","slug":"anapolar-ring-currents-a-144-annulene","status":"publish","type":"post","link":"https:\/\/www.rzepa.net\/blog\/?p=9322","title":{"rendered":"Anapolar ring currents: a [144]-Annulene."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"9322\">\n<p>This is a recently published<span id=\"cite_ITEM-9322-0\" name=\"citation\"><a href=\"#ITEM-9322-0\">[1]<\/a><\/span> (hypothetical) molecule which has such unusual properties that I cannot resist sharing it with you. It is an annulene with 144 all-cis CH groups, being a (very) much larger cousin of (also hypothetical) systems mooted in 2009<span id=\"cite_ITEM-9322-1\" name=\"citation\"><a href=\"#ITEM-9322-1\">[2]<\/a><\/span>,<span id=\"cite_ITEM-9322-2\" name=\"citation\"><a href=\"#ITEM-9322-2\">[3]<\/a><\/span>.<\/p>\n<div id=\"attachment_9323\" style=\"width: 317px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-9323\" data-attachment-id=\"9323\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=9323\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?fit=640%2C644&amp;ssl=1\" data-orig-size=\"640,644\" 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=\"C144\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;A 144-carbon annulene. Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?fit=298%2C300&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?fit=450%2C453&amp;ssl=1\" class=\" wp-image-9323  \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('red');jmolApplet([500,500],'load wp-content\/uploads\/2013\/02\/berger.mol;');\" alt=\"A 144-carbon annulene. Click for  3D.\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?resize=307%2C309\" width=\"307\" height=\"309\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?w=640&amp;ssl=1 640w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/C144.jpg?resize=298%2C300&amp;ssl=1 298w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><p id=\"caption-attachment-9323\" class=\"wp-caption-text\">A 144-carbon annulene. Click for 3D.<\/p><\/div>\n<p>One fascinating novel aspect of Berger&#8217;s work is that he identifies that such helical systems will exhibit a <em>distinct anapolar ring current structure in a constant and homogeneous magnetic field, perpendicular to the main molecular plane<\/em>. Such anapolar magnetism is distinctly different from the dipolar (diatropic) ring currents normally associated with aromatic molecules, and with the current interest in the magnetic properties of graphene-like objects (see also <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=4278\" target=\"_blank\">this blog post<\/a>\u00a0 and also the <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=8337\" target=\"_blank\">helical metal wire<\/a>) such molecules can only help to excite our imaginations.\u00a0<\/p>\n<p>I also show one of the more stable molecular orbitals for the [144]-annulene (<a href=\"http:\/\/hdl.handle.net\/10042\/23006\" target=\"_blank\">\u03c9B97XD\/6-31G(d,p) calculation<\/a>).<sup>\u2021<\/sup> Molecular art indeed!<\/p>\n<div id=\"attachment_9329\" style=\"width: 316px\" class=\"wp-caption aligncenter\"><img data-recalc-dims=\"1\" decoding=\"async\" aria-describedby=\"caption-attachment-9329\" data-attachment-id=\"9329\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=9329\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?fit=480%2C486&amp;ssl=1\" data-orig-size=\"480,486\" 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=\"berger\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;MO 461, Click for  3D.&lt;\/p&gt;\n\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?fit=296%2C300&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?fit=450%2C456&amp;ssl=1\" class=\" wp-image-9329 \" onclick=\"jmolInitialize('..\/Jmol\/','JmolAppletSigned.jar');jmolSetAppletColor('white');jmolApplet([500,500],'load wp-content\/uploads\/2013\/02\/berger_mo461.cub.xyz;isosurface color orange blue wp-content\/uploads\/2013\/02\/berger_mo461.cub.jvxl opaque;');\" alt=\"MO 461, Click for  3D.\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?w=306\"  srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?w=480&amp;ssl=1 480w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/berger.jpg?resize=296%2C300&amp;ssl=1 296w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><p id=\"caption-attachment-9329\" class=\"wp-caption-text\">MO 461. Click for 3D.<\/p><\/div>\n<p>If you go to the <a href=\"http:\/\/knotplot.com\" target=\"_blank\">Knotplot site<\/a>, there you will find a torus link of form (2,18), which displays as the below. Look familiar? Notice the chirality is opposite however!<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" data-attachment-id=\"9342\" data-permalink=\"https:\/\/www.rzepa.net\/blog\/?attachment_id=9342\" data-orig-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?fit=796%2C776&amp;ssl=1\" data-orig-size=\"796,776\" 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=\"link-2-18\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?fit=300%2C292&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?fit=450%2C439&amp;ssl=1\" class=\"aligncenter  wp-image-9342\" alt=\"link-2-18\" src=\"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?resize=306%2C298\" width=\"306\" height=\"298\" srcset=\"https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?w=796&amp;ssl=1 796w, https:\/\/i0.wp.com\/www.rzepa.net\/blog\/wp-content\/uploads\/2013\/02\/link-2-18.jpg?resize=300%2C292&amp;ssl=1 300w\" sizes=\"auto, (max-width: 306px) 100vw, 306px\" \/><\/a><\/p>\n<hr \/>\n<p><sup>\u2021<\/sup>Orbitals for smaller rings with such form can be <a href=\"http:\/\/pubs.acs.org\/doi\/media\/10.1021\/jp902176a\/index.html\" target=\"_blank\">found here<\/a>.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-9322-0\">R.J.F. Berger, \"Prediction of a Cyclic Helical Oligoacetylene Showing Anapolar Ring Currents in the Magnetic Field\", <i>Zeitschrift f\u00fcr Naturforschung B<\/i>, vol. 67, pp. 1127-1131, 2012. <a href=\"https:\/\/doi.org\/10.5560\/znb.2012-0189\">https:\/\/doi.org\/10.5560\/znb.2012-0189<\/a>\n\n<\/li>\n<li id=\"ITEM-9322-1\">S.M. Rappaport, and H.S. Rzepa, \"Intrinsically Chiral Aromaticity. Rules Incorporating Linking Number, Twist, and Writhe for Higher-Twist M\u00f6bius Annulenes\", <i>Journal of the American Chemical Society<\/i>, vol. 130, pp. 7613-7619, 2008. <a href=\"https:\/\/doi.org\/10.1021\/ja710438j\">https:\/\/doi.org\/10.1021\/ja710438j<\/a>\n\n<\/li>\n<li id=\"ITEM-9322-2\">C.S. Wannere, H.S. Rzepa, B.C. Rinderspacher, A. Paul, C.S.M. Allan, H.F. Schaefer, and P.V.R. Schleyer, \"The Geometry and Electronic Topology of Higher-Order Charged M\u00f6bius Annulenes\", <i>The Journal of Physical Chemistry A<\/i>, vol. 113, pp. 11619-11629, 2009. <a href=\"https:\/\/doi.org\/10.1021\/jp902176a\">https:\/\/doi.org\/10.1021\/jp902176a<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 9322 -->","protected":false},"excerpt":{"rendered":"<p>This is a recently published (hypothetical) molecule which has such unusual properties that I cannot resist sharing it with you. It is an annulene with 144 all-cis CH groups, being a (very) much larger cousin of (also hypothetical) systems mooted in 2009,. One fascinating novel aspect of Berger&#8217;s work is that he identifies that such [&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":[6],"tags":[963,964],"class_list":["post-9322","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-helical-metal-wire","tag-helical-systems"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1gPyz-2qm","jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/9322","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=9322"}],"version-history":[{"count":0,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=\/wp\/v2\/posts\/9322\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9322"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9322"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.rzepa.net\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9322"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}