{"id":469,"date":"2010-09-13T12:42:19","date_gmt":"2010-09-13T19:42:19","guid":{"rendered":"http:\/\/wordpress.reed.edu\/chem201202\/2010\/09\/potentials-and-potential-maps.html"},"modified":"2014-03-18T10:13:02","modified_gmt":"2014-03-18T17:13:02","slug":"potentials-and-potential-maps","status":"publish","type":"post","link":"https:\/\/blogs.reed.edu\/chem201202\/2010\/09\/potentials-and-potential-maps\/","title":{"rendered":"Potentials and Potential Maps"},"content":{"rendered":"<p>Today&#8217;s class on electron-deficient atoms and Lewis acids was very informative for me. I want to thank all of the students who were willing to share their questions with me. Your questions are how I learn.<\/p>\n<p>Here are a few post-lecture comments on today&#8217;s material that I hope will provide some additional food for thought.<br \/> <!--more--><b>Potential.<\/b> There is a rigorous, and perhaps needlessly complicated, way to define electrostatic potential. There&#8217;s a simple way too. Let&#8217;s take the simple way first:<\/p>\n<blockquote><p>Positive charges create positive potentials and negative charges create negative potentials.<\/p><\/blockquote>\n<p>Suppose we have a neutral molecule. Equal number of positive and negative charges inside. If the potential near an atom is positive, the atom carries a partial positive charge. If the potential near an atom is negative, the atom carries a partial negative charge.<\/p>\n<p>How can atoms carry different charges? Simple. Electrons travel between atoms and they may spend more time near some atoms than others. The <b>electron-poor<\/b> atoms carry a partial positive charge. The <b>electron-rich<\/b> atoms carry a partial negative charge.<\/p>\n<p>Unfortunately, these simple rules break down for ions because an ion does not contain an equal number of positive and negative charges. The ion&#8217;s net charge determines the potential <i>everywhere<\/i> around the ion. A positive ion creates a positive potential everywhere. An electron-poor atom in a positive ion creates really large positive potentials. These potentials are so large, in fact, that the potential is positive everywhere around the ion, even near the electron-neutral and electron-rich atoms. However, the potential is largest near the electron-poor atom so it is easily identified.<\/p>\n<p>OK, now the complicated definition of potential.<\/p>\n<blockquote><p>The potential is the potential energy experienced by a +1 point charge.<\/p><\/blockquote>\n<p>Some folks have trouble visualizing &#8220;potential energy&#8221; so it may help to think about work. When you move a particle between positions of different potential energy, you either need to do work or the move can happen spontaneously and energy is released. Unfortunately, mentioning &#8220;work&#8221; causes its own problems so maybe its best to go back to the simple definition.<\/p>\n<p><b>Electron-deficient atoms.<\/b> This is a relative term. For example,<\/p>\n<blockquote>\n<ul>\n<li>if an atom is surrounded by fewer than 8 electrons in a Lewis structure, it could be regarded as &#8220;electron-deficient&#8221;<\/li>\n<li>if an atom carries a positive formal charge, it could be regarded as &#8216;electron-deficient&#8221;<\/li>\n<li>if a potential map shows that an atom carries a partial positive charge, the atom could be regarded as &#8220;electron-poor&#8221; and &#8220;electron-deficient&#8221;<\/li>\n<\/ul>\n<\/blockquote>\n<p>These definitions can often lead to contradictory conclusions. For example, B in BH3 is electron-deficient in the Lewis octet sense and in the potential map sense, but not in the formal charge sense. O in H3O+ is electron-deficient in the formal charge sense, but not in the octet or potential map sense. And C in H3C+ is electron-deficient in all three ways. When terminology is confusing like this, you need to pay close attention to context.<\/p>\n<p><b>Potential Map Quirks &#8211; BH3\/AlH3.<\/b> The blue zones on the BH3 and AlH3 potential maps show that these atoms are electron-poor and (partially) positively charged. Since these are neutral molecules, positive and negative charges must balance. If B and Al are electron-poor and positively charged, the 3 H must be electron-rich and negatively charged. Here are their potential maps.<\/p>\n<p><a href=\"https:\/\/blogs.reed.edu\/chem201202\/files\/2010Lectures\/model_2_capture.png\"><img loading=\"lazy\" decoding=\"async\" alt=\"model_2_capture.png\" src=\"https:\/\/blogs.reed.edu\/chem201202\/files\/2010\/09\/model_2_capture-thumb-532x229-976.png\" class=\"mt-image-none\" height=\"229\" width=\"532\" \/><\/a><\/p>\n<p>Do you see what&#8217;s wrong? The potentials near H are only a little negative in AlH3 (yellow) and not even that in BH3. This doesn&#8217;t seem to make sense, but that&#8217;s just because our first conclusion was too simplistic. The charges must balance; but the positive charge on B\/Al is balanced by negative charges on <i>three <\/i>H. So the charge on each H is much smaller in magnitude than the charge on B\/Al. This makes the potentials around H must closer to zero.<\/p>\n<p>Two other things to keep in mind. 1) Green may be the most misleading color on any map. While other colors span only 50 kJ\/mol of potential, the nearly identical shades of green collectively span 100 kJ\/mol. If you look closely you can see the two green zones, but you have to look closely. 2) The molecules are oriented in a way that clearly show the largest potentials near B and Al. This perspective hides the largest potentials near H (notice that you can barely see the yellow zones in AlH3?).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Today&apos;s class on electron-deficient atoms and Lewis acids was very informative for me. I want to thank all of the students who were willing to share their questions with me. Your questions are how I learn.Here are a few post-lecture&#8230;<\/p>\n","protected":false},"author":55,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-469","post","type-post","status-publish","format-standard","hentry","category-post-lecture"],"_links":{"self":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/users\/55"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/comments?post=469"}],"version-history":[{"count":3,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/469\/revisions"}],"predecessor-version":[{"id":5129,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/469\/revisions\/5129"}],"wp:attachment":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/media?parent=469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/categories?post=469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/tags?post=469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}