{"id":122,"date":"2009-09-29T09:19:52","date_gmt":"2009-09-29T16:19:52","guid":{"rendered":"http:\/\/wordpress.reed.edu\/chem201202\/2009\/09\/free-energy-heat-and-potential.html"},"modified":"2014-03-18T10:13:04","modified_gmt":"2014-03-18T17:13:04","slug":"free-energy-heat-and-potential","status":"publish","type":"post","link":"https:\/\/blogs.reed.edu\/chem201202\/2009\/09\/free-energy-heat-and-potential\/","title":{"rendered":"Free energy, heat, and potential"},"content":{"rendered":"<p>I thought I was setting the record straight on energy yesterday, but upon reflection, I made an egregious mistake. Well, I probably made several, but there&#8217;s only one that I&#8217;m currently aware of.<\/p>\n<p>In drawing a distinction between <b>free energy (G)<\/b> and <b>enthalpy (H)<\/b>, I unintentionally conflated enthalpy with <b>potential energy<\/b>. Fortunately, the situation is easily corrected.<br \/><!--more-->As I pointed our yesterday, free energy is the &#8220;available&#8221; energy. Entropy is what sets free energy and enthalpy apart.<\/p>\n<p>And, as I also pointed out, enthalpy is the &#8220;total&#8221; energy in the sense that it includes all of the different forms of energy that we need to consider when looking at a molecular structure. It includes all of the energies created by interparticle forces (electron-electron, nucleus-electron, nucleus-nucleus) and particle motions (electron, nuclear).<\/p>\n<p>So far, so good.<\/p>\n<p>I got myself into trouble, however, when I said that the energy graph for internal rotation showed dihedral angle vs. enthalpy, not free energy (as Loudon seems to think). The graph actually shows dihedral angle vs. <b>potential energy<\/b>. To make things worse, this so-called &#8220;potential&#8221; energy is different from all of the potential energies associated with interparticle forces (see above).<\/p>\n<p>Physicists describe an object&#8217;s energy as &#8220;potential&#8221; when it depends only on the object&#8217;s location in space. For example, if you think about the gravitational attraction that exists between our planet and your backpack, you realize that your pack&#8217;s potential energy is higher when its slung over your shoulder and lower after you drop it on your toe.<\/p>\n<p>And so it is with molecules. If a molecule&#8217;s energy depends only the locations of its atoms, i.e., the molecular geometry, it is &#8220;potential&#8221; energy. Therefore, when I draw a graph showing how geometry (dihedral angle) and energy are related, I am most likely referring to &#8220;potential&#8221; energy.<\/p>\n<p>To summarize:<\/p>\n<ul>\n<li>potential energy &#8211; energy of molecule(s) with geometry completely specified (atoms do not move)<\/li>\n<li>enthalpy &#8211; potential energy + energy of atom (nucleus) motions<\/li>\n<li>free energy &#8211; enthalpy + entropy correction<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>I thought I was setting the record straight on energy yesterday, but upon reflection, I made an egregious mistake. Well, I probably made several, but there&apos;s only one that I&apos;m currently aware of.In drawing a distinction between free energy (G)&#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-122","post","type-post","status-publish","format-standard","hentry","category-post-lecture"],"_links":{"self":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/122","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=122"}],"version-history":[{"count":2,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/122\/revisions"}],"predecessor-version":[{"id":5173,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/posts\/122\/revisions\/5173"}],"wp:attachment":[{"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/media?parent=122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/categories?post=122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.reed.edu\/chem201202\/wp-json\/wp\/v2\/tags?post=122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}