{"id":13394,"date":"2015-02-14T16:26:25","date_gmt":"2015-02-14T16:26:25","guid":{"rendered":"http:\/\/www.ch.imperial.ac.uk\/rzepa\/blog\/?p=13394"},"modified":"2023-09-16T18:08:05","modified_gmt":"2023-09-16T17:08:05","slug":"how-many-water-molecules-does-it-take-to-ionise-hcl","status":"publish","type":"post","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394","title":{"rendered":"How many water molecules does it take to ionise HCl?"},"content":{"rendered":"<div class=\"kcite-section\" kcite-section-id=\"13394\">\n<p>According to Guggemos, Slavicek and Kresin, about 5-6!<span id=\"cite_ITEM-13394-0\" name=\"citation\"><a href=\"#ITEM-13394-0\">[1]<\/a><\/span>. This is one of those simple ideas, which is probably quite tough to do experimentally. It involved blasting water vapour through a pinhole, adding HCl and\u00a0measuring the dipole-moment induced deflection by an electric field. They\u00a0found\u00a0&#8220;<strong><em>evidence for a noticeable rise in the dipole moment occurring at\u00a0<\/em><\/strong><span class=\"aps-inline-formula\"><span id=\"MathJax-Element-3-Frame\" class=\"MathJax\"><span id=\"MathJax-Span-26\" class=\"math\"><span id=\"MathJax-Span-27\" class=\"mrow\"><span id=\"MathJax-Span-28\" class=\"mrow\"><strong><em><span id=\"MathJax-Span-29\" class=\"mrow\"><span id=\"MathJax-Span-30\" class=\"mi\">n<\/span><span id=\"MathJax-Span-31\" class=\"mo\">\u2248<\/span><span id=\"MathJax-Span-32\" class=\"mn\">5<\/span><\/span><span id=\"MathJax-Span-33\" class=\"mi\">\u2013<\/span><\/em><\/strong><span id=\"MathJax-Span-34\" class=\"mn\"><strong><em>6<\/em><\/strong>&#8220;.<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>Modelling the structures takes little time. So here are some \u03c9B97XD\/6-311++G(2d,2p) gas phase models. I state at the outset that these are not dynamic-stochastic models, averaged over many conformations, but a static picture of individual poses. As usual, click on individual images to obtain an interactive 3D model (Java required).<sup>&Dagger;<\/sup><\/p>\n<p>n=1.<span id=\"cite_ITEM-13394-1\" name=\"citation\"><a href=\"#ITEM-13394-1\">[2]<\/a><\/span> Dipole moment 3.7D<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13396\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/1H2O.log;frame 27;spin 3;');\"  src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-1h2o.jpg\" alt=\"hcl+1h2o\" width=\"300\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-1h2o.jpg 424w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-1h2o-300x152.jpg 300w\" sizes=\"(max-width: 424px) 100vw, 424px\" \/><\/p>\n<p>n=2.<span id=\"cite_ITEM-13394-2\" name=\"citation\"><a href=\"#ITEM-13394-2\">[3]<\/a><\/span> Dipole moment\u00a02.4D. Note how the O&#8230;H bond becomes shorter.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13397\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/2H2O.log;frame 144;spin 3;');\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-2h2o.jpg\" alt=\"hcl+2h2o\" width=\"300\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-2h2o.jpg 417w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-2h2o-300x292.jpg 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>n=3.<span id=\"cite_ITEM-13394-3\" name=\"citation\"><a href=\"#ITEM-13394-3\">[4]<\/a><\/span> Dipole moment\u00a02.5D. Note how the key O..H bond is contracting rapidly, as are the other H-bond interactions. This is the cyclic polarisation effect, where each bond influences the others. We are starting to approach the formation of H<sub>3<\/sub>O<sup>+<\/sup> and Cl<sup>&#8211;<\/sup>!<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13398\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/3H2O.log;frame 100;spin 3;');\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-3h2o.jpg\" alt=\"hcl+3h2o\" width=\"200\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-3h2o.jpg 448w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-3h2o-300x294.jpg 300w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/p>\n<p>n=4.<span id=\"cite_ITEM-13394-4\" name=\"citation\"><a href=\"#ITEM-13394-4\">[5]<\/a><\/span> Dipole moment\u00a02.3 D, We have two ways to add the next water molecule, firstly to try to stabilise the H<sub>3<\/sub>O<sup>+<\/sup>.\u00a0Nope.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13403\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/4H2Oi.log;frame 2;spin 3;');\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o.jpg\" alt=\"hcl+4h2o\" width=\"300\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o.jpg 591w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o-300x195.jpg 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><\/p>\n<p>n=4,<span id=\"cite_ITEM-13394-4\" name=\"citation\"><a href=\"#ITEM-13394-4\">[5]<\/a><\/span> Dipole moment\u00a01.1 D. Better by solvating the\u00a0Cl<sup>&#8211;<\/sup>!\u00a0The proton originally attached to the Cl is now starting its transfer to the water to form that hydronium cation, but the dipole moment is not yet large.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13406\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/4H2O.log;frame 2;spin 3;');\"  src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o1.jpg\" alt=\"hcl+4h2o1\" width=\"300\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o1.jpg 642w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-4h2o1-300x214.jpg 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><\/p>\n<p>n=5.<span id=\"cite_ITEM-13394-5\" name=\"citation\"><a href=\"#ITEM-13394-5\">[6]<\/a><\/span> Dipole moment\u00a04.7D. The ionisation is almost complete\u00a0and the dipole moment is on the increase.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13412\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/5H2O.log;frame 104;spin 3;');\"  src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/5.jpg\" alt=\"5\" width=\"250\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/5.jpg 392w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/5-196x300.jpg 196w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><\/p>\n<p>n=6.<span id=\"cite_ITEM-13394-6\" name=\"citation\"><a href=\"#ITEM-13394-6\">[7]<\/a><\/span> The dipole moment is up to 8.2D and the three H-O bonds of the hydronium cation are almost all equal in length.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13417\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/6H2O.log;frame 2;spin 3;');\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/61.jpg\" alt=\"6\" width=\"300\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/61.jpg 616w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/61-300x277.jpg 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>A cautionary observation though. The isomer below for n=6<span id=\"cite_ITEM-13394-7\" name=\"citation\"><a href=\"#ITEM-13394-7\">[8]<\/a><\/span> is lower in energy by \u0394G -1.2 kcal\/mol, and its dipole moment is only 2.5D! The charges (summed onto heavy atoms) show the chloride to have -0.88 and the hydronium cation +0.88, so it is a true ion-pair, despite its dipole moment.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter size-full wp-image-13421\" onclick=\"jmolInitialize('..\/Jmol\/');jmolSetAppletColor('white');jmolApplet([450,450],'load wp-content\/uploads\/2015\/02\/6H2Oi.log;frame 52;spin 3;');\" src=\"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/6a.jpg\" alt=\"6a\" width=\"250\" srcset=\"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/6a.jpg 496w, https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/6a-266x300.jpg 266w\" sizes=\"(max-width: 496px) 100vw, 496px\" \/><\/p>\n<p>So these calculations do indeed appear\u00a0to confirm that 5-6 water molecules are required to ionise\u00a0HCl.\u00a0But it does raise the interesting issue that even for n=6, there are poses for the assembly which have low dipole moments. Clearly of course the observed dipole moment is a dynamic average over many conformations of similar energy but the prediction that some of these\u00a0may have low dipole moments should be noted.<\/p>\n<hr \/>\n<p><sup>&Dagger;<\/sup> If you right-click in the 3D model area, you can bring down a list of vibrational modes for each complex from the first item of the pop-up menu that appears (labelled model). You might wish to e.g. explore how the H-Cl stretch vibration changes as the ionisation increases.<\/p>\n<hr \/>\n<h4>Acknowledgments<\/h4>\n<p>This post has been cross-posted in PDF format at <a href=\"https:\/\/doi.org\/10.15200\/winn.142410.09040\" rel=\"noopener\" target=\"_blank\">Authorea<\/a>.<\/p>\n<h2>References<\/h2>\n    <ol class=\"kcite-bibliography csl-bib-body\"><li id=\"ITEM-13394-0\">N. Guggemos, P. Slav\u00ed\u010dek, and V.V. Kresin, \"Electric Dipole Moments of Nanosolvated Acid Molecules in Water Clusters\", <i>Physical Review Letters<\/i>, vol. 114, 2015. <a href=\"https:\/\/doi.org\/10.1103\/physrevlett.114.043401\">https:\/\/doi.org\/10.1103\/physrevlett.114.043401<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-1\">H.S. Rzepa, \"H 3 Cl 1 O 1\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189758\">https:\/\/doi.org\/10.14469\/ch\/189758<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-2\">H.S. Rzepa, \"H 5 Cl 1 O 2\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189760\">https:\/\/doi.org\/10.14469\/ch\/189760<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-3\">H.S. Rzepa, \"H 7 Cl 1 O 3\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189759\">https:\/\/doi.org\/10.14469\/ch\/189759<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-4\">H.S. Rzepa, \"H 9 Cl 1 O 4\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189763\">https:\/\/doi.org\/10.14469\/ch\/189763<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-5\">H.S. Rzepa, \"H 11 Cl 1 O 5\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189756\">https:\/\/doi.org\/10.14469\/ch\/189756<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-6\">H.S. Rzepa, \"H 13 Cl 1 O 6\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189761\">https:\/\/doi.org\/10.14469\/ch\/189761<\/a>\n\n<\/li>\n<li id=\"ITEM-13394-7\">H.S. Rzepa, \"H 13 Cl 1 O 6\", 2015. <a href=\"https:\/\/doi.org\/10.14469\/ch\/189764\">https:\/\/doi.org\/10.14469\/ch\/189764<\/a>\n\n<\/li>\n<\/ol>\n\n<\/div> <!-- kcite-section 13394 -->","protected":false},"excerpt":{"rendered":"<p>According to Guggemos, Slavicek and Kresin, about 5-6!. This is one of those simple ideas, which is probably quite tough to do experimentally. It involved blasting water vapour through a pinhole, adding HCl and\u00a0measuring the dipole-moment induced deflection by an electric field. They\u00a0found\u00a0&#8220;evidence for a noticeable rise in the dipole moment occurring at\u00a0n\u22485\u20136&#8220;. Modelling the [&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":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[4,1086],"tags":[24,1319,487,74,203],"ppma_author":[2661],"class_list":["post-13394","post","type-post","status-publish","format-standard","hentry","category-interesting-chemistry","category-reaction-mechanism-2","tag-energy","tag-gas-phase-models","tag-java","tag-pence","tag-similar-energy"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How many water molecules does it take to ionise HCl? - 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=13394\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How many water molecules does it take to ionise HCl? - Henry Rzepa&#039;s Blog\" \/>\n<meta property=\"og:description\" content=\"According to Guggemos, Slavicek and Kresin, about 5-6!. This is one of those simple ideas, which is probably quite tough to do experimentally. It involved blasting water vapour through a pinhole, adding HCl and\u00a0measuring the dipole-moment induced deflection by an electric field. They\u00a0found\u00a0&#8220;evidence for a noticeable rise in the dipole moment occurring at\u00a0n\u22485\u20136&#8220;. 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This is one of those simple ideas, which is probably quite tough to do experimentally. It involved blasting water vapour through a pinhole, adding HCl and\u00a0measuring the dipole-moment induced deflection by an electric field. They\u00a0found\u00a0&#8220;evidence for a noticeable rise in the dipole moment occurring at\u00a0n\u22485\u20136&#8220;. Modelling the [&hellip;]","og_url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394","og_site_name":"Henry Rzepa&#039;s Blog","article_published_time":"2015-02-14T16:26:25+00:00","article_modified_time":"2023-09-16T17:08:05+00:00","og_image":[{"url":"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-1h2o.jpg","type":"","width":"","height":""}],"author":"Henry Rzepa","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Henry Rzepa","Estimated reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394#article","isPartOf":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394"},"author":{"name":"Henry Rzepa","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/#\/schema\/person\/2b40f7b9c872a4dc1547e040a11b6281"},"headline":"How many water molecules does it take to ionise HCl?","datePublished":"2015-02-14T16:26:25+00:00","dateModified":"2023-09-16T17:08:05+00:00","mainEntityOfPage":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394"},"wordCount":493,"commentCount":1,"image":{"@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394#primaryimage"},"thumbnailUrl":"http:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/02\/hcl-1h2o.jpg","keywords":["energy","gas phase models","Java","pence","similar energy"],"articleSection":["Interesting chemistry","reaction mechanism"],"inLanguage":"en-GB","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394#respond"]}]},{"@type":"WebPage","@id":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394","url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=13394","name":"How many water molecules does it take to ionise HCl? 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The Tiffeneau-Demjanov rearrangement as part of a prostaglandin synthesis.","author":"Henry Rzepa","date":"November 23, 2015","format":false,"excerpt":"This reaction emerged a few years ago (thanks Alan!) as a tutorial problem in organic chemistry, in which students had to devise a mechanism for the reaction and use this to predict the stereochemical outcome at the two chiral centres indicated with *. \u00a0It originates in a brief report from\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":"Click for  3D","src":"https:\/\/i0.wp.com\/www.ch.ic.ac.uk\/rzepa\/blog\/wp-content\/uploads\/2015\/11\/green.jpg?resize=350%2C200","width":350,"height":200},"classes":[]},{"id":15924,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=15924","url_meta":{"origin":13394,"position":3},"title":"How many water molecules does it take to form ammonium hydroxide from ammonia and water?","author":"Henry Rzepa","date":"March 20, 2016","format":false,"excerpt":"This is a corollary to the previous post\u2021 exploring how many molecules are needed to ionise HCl. Here I am asking how many water molecules are required to form the ionic ammonium hydroxide from ammonia and water. As Wikipedia will inform you, \"it is actually impossible to isolate samples of\u2026","rel":"","context":"In &quot;General&quot;","block_context":{"text":"General","link":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?cat=1"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":19550,"url":"https:\/\/www.ch.ic.ac.uk\/rzepa\/blog\/?p=19550","url_meta":{"origin":13394,"position":4},"title":"A record polarity for a neutral compound?","author":"Henry Rzepa","date":"April 13, 2018","format":false,"excerpt":"In several posts a year or so ago I considered various suggestions for the most polar neutral molecules, as measured by the dipole moment. A record had been claimed for a synthesized molecule of ~14.1\u00b10.7D. I pushed this to a calculated 21.7D for an admittedly hypothetical and unsynthesized molecule. 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