{"id":6361,"date":"2012-03-09T15:15:34","date_gmt":"2012-03-09T15:15:34","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=6361"},"modified":"2012-03-11T11:41:35","modified_gmt":"2012-03-11T11:41:35","slug":"spotting-the-unexpected-the-trifluoromeric-effect-in-the-hydration-of-the-carbonyl-group","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=6361","title":{"rendered":"Spotting the unexpected. The trifluoromeric effect in the hydration of the carbonyl group."},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"6361\">\n<p>The equilibrium for the hydration of a ketone to form a gem-diol hydrate is known to be highly sensitive to substituents. Consider the two equilibria:<\/p>\n<p><a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/ketone-hydrate1.svg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-6363\" title=\"ketone-hydrate\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/ketone-hydrate1.svg\" alt=\"\" \/><\/a><\/p>\n<p>For propanone, it lies almost entirely on the left, whereas for the hexafluoro derivative it is almost entirely on the right. The standard answer to this is that electron-withdrawing\u00a0substituents destabilize the carbonyl compound more than the hydrate. But could there be more to it than that? Might the converse also be true, that electron-withdrawing substituents stabilise the hydrate more than the carbonyl compound? To answer this last question, consider the anomeric interactions possible in the diol.<\/p>\n<ol>\n<li>There is the standard anomeric effect operating between the two hydroxy groups, whereby a lone pair donor on one oxygen interacts with the C-O acceptor bond of the other oxygen, and vice versa, a total of <strong>two<\/strong> stabilising interactions.<\/li>\n<li>But what if the C-CF<sub>3<\/sub> group could also act as an acceptor instead of the C-O? That would give the trifluoromethyl system a total of <strong>four<\/strong> anomeric interactions, each of them stabilising, compared to only two for the methyl system.<\/li>\n<\/ol>\n<p>Garnering evidence, firstly we compute (\u03c9B97XD\/6-311G(d,p) ) the free energy difference for the two equilibria above. These turn out to be +3.3 kcal\/mol for the top equilibrium, and -9.0 kcal\/mol for the bottom, which agrees with the assertions made earlier. The computed geometry looks as below.<\/p>\n<p><div id=\"attachment_6368\" style=\"width: 261px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6368\" class=\" wp-image-6368  \" title=\"diol\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2012\/03\/CF3_mo30.cub.xyz;isosurface color purple orange wp-content\/uploads\/2012\/03\/CF3_mo30.cub.jvxl translucent;isosurface append color red blue wp-content\/uploads\/2012\/03\/CF3_mo52.cub.jvxl translucent;zoom 80;');\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/diol.jpg\" alt=\"\" width=\"251\" height=\"169\" \/><p id=\"caption-attachment-6368\" class=\"wp-caption-text\">Geometry of hydrate. Click for 3D.<\/p><\/div>We must now go hunting for anomeric interactions, and this is done using an NBO analysis. We look for large interactions between a donor (a lone pair on either oxygen) and an acceptor (which is conventionally the C-O anti-bonding NBO, but can now also be the C-CF<sub>3\u00a0<\/sub>anti-bonding NBO). Indeed exactly <strong>four\u00a0<\/strong>large interactions are found, in pairs of E(2) = 17.5 and 9.8 kcal\/mol. The former is common to both the systems above, but the latter is larger for the trifluoromethyl substituted equilibrium than the methyl system (for which E(2) is 6.2 kcal\/mol), and therefore constitutes additional stabilisation by the electron-withdrawing groups of the diol.<\/p>\n<p>Each oxygen has two lone pair NBO orbitals. The initial hypothesis is surely that it uses one of these to align with a C-O anti bonding acceptor, and the other to align with the C-CF<sub>3<\/sub> anti bonding acceptor. The first of these is shown below.<\/p>\n<div id=\"attachment_6379\" style=\"width: 287px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6379\" class=\" wp-image-6379  \" title=\"30-54\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2012\/03\/CF3_mo30.cub.xyz;isosurface color purple orange wp-content\/uploads\/2012\/03\/CF3_mo30.cub.jvxl translucent;isosurface append color red blue wp-content\/uploads\/2012\/03\/CF3_mo54.cub.jvxl translucent;zoom 80;');\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/30-54.jpg\" alt=\"\" width=\"277\" height=\"225\" \/><p id=\"caption-attachment-6379\" class=\"wp-caption-text\">The interaction between an O(Lp) and a O-C BD* orbital. Click for 3D.<\/p><\/div>\n<ol>\n<li>The colour code is that the two phases of the oxygen lone pair (Lp) are shown as purple\/orange.<\/li>\n<li>These are superimposed upon the C-O anti bonding NBO (referred to as BD* in the output), which has the colours red and blue.<\/li>\n<li>I advise you now to click on the graphic above to load the 3D model and the orbital surfaces. You should spot the node along the C-O bond with a blue-red boundary.<\/li>\n<li>You will also spot that the orange phase of the Lp overlapping with the red phase of the C-O BD*. This is defined as a positive (stabilizing) overlap.<\/li>\n<li>Likewise the purple phase of the Lp overlaps with the blue phase of the C-O BD*. In other words orange=red, and purple=blue. I have made orange and red, and purple and blue deliberately different so that the origins of each NBO can be spotted.<\/li>\n<li>This combination therefore has good overlap, and this gives rise to the large E(2) interaction energy of 17.5 kcal\/mol.<\/li>\n<\/ol>\n<div>Now for the interaction with the C-CF<sub>3<\/sub> BD*, the one with E(2) = 9.8 kcal\/mol.<\/div>\n<div id=\"attachment_6381\" style=\"width: 249px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6381\" class=\" wp-image-6381   \" title=\"30-52\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2012\/03\/CF3_mo30.cub.xyz;isosurface color purple orange wp-content\/uploads\/2012\/03\/CF3_mo30.cub.jvxl translucent;isosurface append color red blue wp-content\/uploads\/2012\/03\/CF3_mo52.cub.jvxl translucent;zoom 80;');\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/30-52.jpg\" alt=\"\" width=\"239\" height=\"246\" \/><p id=\"caption-attachment-6381\" class=\"wp-caption-text\">The interaction between an O(Lp) and a C-CF3 BD* orbital. Click for 3D.<\/p><\/div>\n<ol>\n<li>You can see the blue-red node along the C-CF<sub>3<\/sub> bond quite clearly.<\/li>\n<li>But hang on, the O Lp orbital is the same as before! It is overlapping with BOTH the C-O and the C-CF<sub>3<\/sub> BD* orbitals.<\/li>\n<\/ol>\n<p>The <em>other <\/em>O Lp is shown below (viewed along the axis of the C-CF<sub>3<\/sub> bond). Note how an equal proportion of the orange phase and the other purple phase of the O Lp overlap equally with the blue phase of the C-CF<sub>3<\/sub> bond. In other words, one cancels the other.<\/p>\n<p><div id=\"attachment_6384\" style=\"width: 283px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6384\" class=\" wp-image-6384  \" title=\"45-52\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2012\/03\/CF3_mo30.cub.xyz;isosurface color purple orange wp-content\/uploads\/2012\/03\/CF3_mo45.cub.jvxl translucent;isosurface append color red blue wp-content\/uploads\/2012\/03\/CF3_mo52.cub.jvxl translucent;zoom 80;');\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/45-52.jpg\" alt=\"\" width=\"273\" height=\"238\" \/><p id=\"caption-attachment-6384\" class=\"wp-caption-text\">The interaction between the other O(Lp) and a C-CF3 BD* orbital. Click for 3D.<\/p><\/div>So we have found that just one (of the two lone pairs) on each oxygen overlaps with <strong>both<\/strong> the C-O and the C-CF<sub>3<\/sub> anti bonding NBOs, the latter giving a stabilisation not present when the group is instead C-CH<sub>3<\/sub>. We can attribute this to the far greater acceptor properties of the\u00a0C-CF<sub>3 <\/sub>BD*\u00a0because of the electronegative character of the fluorines.<\/p>\n<p>This is an anomeric effect with a difference. The CF<sub>3<\/sub> group is not normally associated with inducing such an effect (just as the CN group is not, see <a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=745\" target=\"_blank\">this post<\/a>\u00a0or<a href=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=5368\" target=\"_blank\"> this post<\/a> where an alkene acts the donor instead of a lone pair). Also unusual (more accurately, I have not encountered it before) is the (apparent) use of the SAME donor lone pair to induce TWO quite different anomeric interactions. Before getting too excited by this unexpected effect, it it is worth taking a look at another technique for analysing lone pairs. The ELF (electron localisation function) can provide the centroid of what is referred to as a monosynaptic basin (a lone pair in other words).<\/p>\n<p><div id=\"attachment_6388\" style=\"width: 239px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-6388\" class=\" wp-image-6388  \" title=\"CF3-elf\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2012\/03\/CF3-elf.mol;measure 33 5 1 4;measure 34 5 1 2;');\" src=\"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/CF3-elf1.jpg\" alt=\"\" width=\"229\" height=\"176\" \/><p id=\"caption-attachment-6388\" class=\"wp-caption-text\">EKF function, showing O Lone pairs (in yellow). Click for 3D.<\/p><\/div>You can see in yellow the oxygen lone pairs. Note how one of them aligns with the C-O bond, and the other with the C-CF<sub>3\u00a0<\/sub>bond. Unfortunately, the ELF method does not allow the strength of the interaction to be quantified, which is why the NBO analysis is preferred.<\/p>\n<p>So we can conclude that not only might electron-withdrawing\u00a0substituents destabilize the carbonyl compound more than the hydrate, but they certainly also stabilise the hydrate more than the carbonyl compound.<\/p>\n<!-- kcite active, but no citations found -->\n<\/div> <!-- kcite-section 6361 -->","protected":false},"excerpt":{"rendered":"<p>The equilibrium for the hydration of a ketone to form a gem-diol hydrate is known to be highly sensitive to substituents. Consider the two equilibria: For propanone, it lies almost entirely on the left, whereas for the hexafluoro derivative it is almost entirely on the right. The standard answer to this is that electron-withdrawing\u00a0substituents destabilize [&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":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4],"tags":[370,11,240,41,809,814,373],"ppma_author":[2661],"class_list":["post-6361","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","tag-anomeric-effects","tag-elf","tag-free-energy-difference","tag-interaction-energy","tag-nbo","tag-o-lp","tag-tutorial-material"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Spotting the unexpected. The trifluoromeric effect in the hydration of the carbonyl group. - 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=6361\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Spotting the unexpected. The trifluoromeric effect in the hydration of the carbonyl group. - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"The equilibrium for the hydration of a ketone to form a gem-diol hydrate is known to be highly sensitive to substituents. Consider the two equilibria: For propanone, it lies almost entirely on the left, whereas for the hexafluoro derivative it is almost entirely on the right. 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The standard answer to this is that electron-withdrawing\u00a0substituents destabilize [&hellip;]","og_url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=6361","og_site_name":"Henry Rzepa&#039;s Blog","article_published_time":"2012-03-09T15:15:34+00:00","article_modified_time":"2012-03-11T11:41:35+00:00","og_image":[{"url":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/ketone-hydrate1.svg","type":"","width":"","height":""}],"author":"Henry Rzepa","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Henry Rzepa","Estimated reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=6361#article","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=6361"},"author":{"name":"Henry Rzepa","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"headline":"Spotting the unexpected. 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Anomeric effects involving alkenes?","author":"Henry Rzepa","date":"November 2, 2011","format":false,"excerpt":"How one might go about answering the question: do alkenes promote anomeric effects? A search of chemical abstracts does not appear to cite any examples (I may have missed them of course, since it depends very much on the terminology you use, and new effects may not yet have any\u2026","rel":"","context":"In &quot;Chemical IT&quot;","block_context":{"text":"Chemical IT","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=2"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2011\/11\/query.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":6401,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=6401","url_meta":{"origin":6361,"position":1},"title":"Spotting the unexpected. The hydration of formaldehyde.","author":"Henry Rzepa","date":"March 12, 2012","format":false,"excerpt":"In my\u00a0previous post\u00a0I speculated why bis(trifluoromethyl) ketone tends to fully form a hydrate when dissolved in water, but acetone does not. Here I turn to asking why\u00a0formaldehyde is also 80% converted to methanediol\u00a0in water? Could it be that again, the diol is somehow preferentially stabilised compared to the carbonyl precursor\u2026","rel":"","context":"In &quot;Interesting chemistry&quot;","block_context":{"text":"Interesting chemistry","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=4"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/www.ch.imperial.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2012\/03\/formaldehyde-diol.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":22471,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=22471","url_meta":{"origin":6361,"position":2},"title":"Fascinating stereoelectronic control in Metaldehyde and Chloral.","author":"Henry Rzepa","date":"June 9, 2020","format":false,"excerpt":"Metaldehyde is an insecticide used to control slugs. When we unsuccessfully tried to get some recently, I discovered it is now deprecated in the UK. So my immediate reaction was to look up its structure to see if that cast any light (below, R=CH3, shown as one stereoisomer). A X-ray\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":16601,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=16601","url_meta":{"origin":6361,"position":3},"title":"Anomeric effects at boron, silicon and phosphorus.","author":"Henry Rzepa","date":"July 1, 2016","format":false,"excerpt":"The anomeric effect occurs at 4-coordinate (sp3) carbon centres carrying two oxygen substituents and involves an alignment of a lone electron pair\u00a0on one oxygen with the adjacent C-O \u03c3*-bond of the other oxygen. Here I explore whether other centres can exhibit the phenomenon. I start with 4-coordinate boron, using the\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"anomeric-bo-sq","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2016\/06\/anomeric-bo-sq-1024x644.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":16671,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=16671","url_meta":{"origin":6361,"position":4},"title":"A periodic table for anomeric centres.","author":"Henry Rzepa","date":"August 6, 2016","format":false,"excerpt":"In the last few posts, I have explored the anomeric effect as it occurs at an atom centre X. Here I try to summarise the atoms for which the effect is manifest in crystal structures. The effect is defined by X bearing two substituents, one of which Z is a\u2026","rel":"","context":"In &quot;crystal_structure_mining&quot;","block_context":{"text":"crystal_structure_mining","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1745"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":14161,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=14161","url_meta":{"origin":6361,"position":5},"title":"The formation of tetrahedral intermediates.","author":"Henry Rzepa","date":"June 12, 2015","format":false,"excerpt":"In the preceding post, I discussed\u00a0the reaction between mCPBA (meta-chloroperbenzoic acid) and cyclohexanone, resulting in Baeyer-Villiger oxidation via a tetrahedral intermediate (TI). Dan Singleton, in whose group the original KIE (kinetic isotope measurements) were made, has kindly\u00a0pointed out\u00a0on this blog that his was a mixed-phase reaction, and that mechanistic comparison\u2026","rel":"","context":"In &quot;reaction mechanism&quot;","block_context":{"text":"reaction mechanism","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1086"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"jetpack_likes_enabled":false,"authors":[{"term_id":2661,"user_id":1,"is_guest":0,"slug":"admin","display_name":"Henry Rzepa","avatar_url":"https:\/\/secure.gravatar.com\/avatar\/897b6740f7f599bca7942cdf7d7914af5988937ae0e3869ab09aebb87f26a731?s=96&d=blank&r=g","0":null,"1":"","2":"","3":"","4":"","5":"","6":"","7":"","8":""}],"_links":{"self":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/6361","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6361"}],"version-history":[{"count":31,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/6361\/revisions"}],"predecessor-version":[{"id":6392,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=\/wp\/v2\/posts\/6361\/revisions\/6392"}],"wp:attachment":[{"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6361"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fppma_author&post=6361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}