{"id":185,"date":"2018-11-21T18:02:07","date_gmt":"2018-11-21T18:02:07","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/?post_type=chapter&#038;p=185"},"modified":"2019-01-03T03:47:26","modified_gmt":"2019-01-03T03:47:26","slug":"introduction","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/chapter\/introduction\/","title":{"raw":"13.1. Introduction","rendered":"13.1. Introduction"},"content":{"raw":"<header class=\"elm-header\">\r\n<div class=\"elm-header-custom\"><\/div>\r\n<\/header><article id=\"elm-main-content\" class=\"elm-content-container\"><header class=\"mt-content-header\">\r\n<div id=\"batchTreeHolder\">\r\n<h1>Molecular Orbital Theory: Conjugation and Aromaticity<\/h1>\r\n<div class=\"wiki-tree\"><span style=\"font-size: 1rem;text-align: initial\">Valence bond theory does a remarkably good job at explaining the bonding geometry of many of the functional groups in organic compounds. There are some areas, however, where the valence bond theory falls short. It fails to adequately account, for example, for some interesting properties of compounds that contain alternating double and single bonds. In order to understand these properties, we need to think about chemical bonding in a new way, using the ideas of molecular orbital (MO) theory.\u00a0 If you have forgotten what is meant by the term \u201cmolecular orbital,\u201d combine a review of <a href=\"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry\/chapter\/2-1-combining-atomic-orbitals-s-and-p-bonding\/\">Chapter 2<\/a> with your study of this section.\r\n<\/span><\/div>\r\n<\/div>\r\n<\/header><section class=\"mt-content-container\">\r\n<p class=\"mt-align-justify\"><span class=\"mt-font-arial\">Let\u2019s go back and consider again the simplest possible covalent bond: the one in molecular hydrogen (H<sub>2<\/sub>). When we described the hydrogen molecule using valence bond theory, we said that the two 1<em>s<\/em> orbitals from each atom overlap, allowing the two electrons to be shared and thus forming a covalent bond. In molecular orbital theory, we make a further statement: we say that the two atomic 1<em>s<\/em> orbitals mathematically combine to form two new orbitals. Recall that an atomic orbital (such as the 1s orbital of a hydrogen atom) describes a region of space around a single atom inside which electrons are likely to be found. <em>A molecular orbital describes a region of space around two or more atoms inside which electrons are likely to be found.<\/em><\/span><\/p>\r\n<p class=\"mt-align-justify\"><span class=\"mt-font-arial\">Mathematical principles tell us that when orbitals combine, the number of orbitals before the combination takes place must equal the number of new orbitals that result from the combination \u2013 orbitals don\u2019t just disappear! We saw this previously when we discussed hybrid orbitals: one <em>s<\/em> and three <em>p<\/em> orbitals make four <em>sp<sup>3<\/sup><\/em> hybrids. When two atomic 1<em>s<\/em> orbitals combine in the formation of H<sub>2<\/sub>, the result is <em>two<\/em> <strong>sigma<\/strong> (<\/span><strong>\u03c3)<\/strong><span class=\"mt-font-arial\"> <strong>orbitals<\/strong>. <\/span><\/p>\r\n&nbsp;\r\n\r\n[caption id=\"\" align=\"aligncenter\" width=\"642\"]<img class=\"internal default\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135043\/fig2-2-1.png\" alt=\"\" width=\"642\" height=\"264\" \/> <strong>Molecular orbitals for H<sub>2<\/sub><\/strong>[\/caption]\r\n\r\n<span class=\"mt-font-arial\">According to MO theory, one sigma orbital is lower in energy than either of the two isolated atomic 1<em>s<\/em> orbitals \u2013this lower sigma orbital is referred to as a <strong>bonding molecular orbital<\/strong>. The second, <strong>'s<\/strong><strong>igma star' orbital<\/strong> is higher in energy than the two atomic 1<em>s<\/em> orbitals, and is referred to as an <strong>antibonding molecular orbital<\/strong>.<\/span>\r\n\r\n<span class=\"mt-font-arial\">The bonding sigma orbital, which holds both electrons in the ground state of the molecule, is egg-shaped, encompassing the two nuclei, and with the highest likelihood of electrons being in the area between the two nuclei. The high-energy, antibonding sigma* orbital can be visualized as a pair of droplets, with areas of higher electron density near each nucleus and a \u2018node\u2019, (area of zero electron density) midway between the two nuclei. <\/span>\r\n\r\n<span class=\"mt-font-arial\">Remember that we are thinking here about electron behavior as <em>wave behavior<\/em>. When two separate waves combine, they can do so with <strong>constructive interference<\/strong>, where the two amplitudes build up and reinforce one another, or <strong>destructive interference<\/strong>, where the two amplitudes cancel one another out. Bonding MOs are the consequence of constructive interference between two atomic orbitals, which results in an attractive interaction and an increase in electron density between the nuclei. Antibonding MO\u2019s are the consequence of destructive interference which results in a repulsive interaction and a region of zero electron density between the nuclei (in other words, a node).<\/span>\r\n\r\n<span class=\"mt-font-arial\">Following the same <em>aufbau <\/em>('building up') principle you learned in General Chemistry for writing out electron configurations, we place the two electrons in the H<sub>2<\/sub> molecule in the lowest energy molecular orbital, which is the (bonding) sigma orbital. The bonding (attracting) MO is full, and the antibonding (repulsing) MO is empty.<\/span>\r\n<div id=\"section_1\" class=\"mt-section\">\r\n<h2 class=\"editable\"><span class=\"mt-font-arial\">MO theory and conjugated pi bonds<\/span><\/h2>\r\n<span class=\"mt-font-arial\">The advantage of using MO theory to understand bonding in organic molecules becomes more apparent when we think about pi bonds.\u00a0 We find that the theory predicts that when we have a connected series of sp<sup>2<\/sup> carbons, the pi bonds are said to be \"conjugated.\"\u00a0\u00a0 In a conjugated system the pi bonds can be delocalized over the whole series of atoms, and this leads to additional stabilization.\u00a0 Note: Other second row sp<sup>2<\/sup> atoms, such as oxygen and nitrogen, can also participate in this delocalization, as can sp hybridized atoms.\u00a0 If the conjugated system occurs in certain types of ring, such as a six-carbon benzene ring, it leads to exceptionally high stabilization called aromaticity, which we will discuss in <a href=\"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/chapter\/13-4-aromaticity\/\">section 13.5<\/a>.\r\n<\/span>\r\n<div>\r\n<div id=\"exercise\">\r\n<div class=\"textbox exercises\">\r\n\r\n&nbsp;\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div id=\"section_2\" class=\"mt-section\">\r\n<h2>Aromaticity<\/h2>\r\n<span class=\"mt-font-arial\">Molecular orbital theory is especially helpful in explaining the unique properties of <strong>aromatic<\/strong> compounds such as benzene: <\/span>\r\n\r\n<img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135114\/fig2-2-10.png\" alt=\"fig2-2-10.png\" width=\"163px\" height=\"188px\" \/>\r\n<p class=\"mt-align-right\"><a class=\"external\" title=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" href=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" target=\"_blank\" rel=\"external nofollow noopener\">3D interactive model of <\/a><a class=\"external\" title=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" href=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" target=\"_blank\" rel=\"external nofollow noopener\">benzene<\/a><\/p>\r\n<span class=\"mt-font-arial\">Although<\/span><span class=\"mt-font-arial\"> benzene is most often drawn with three double bonds and three single bonds, in fact all of the carbon-carbon bonds iare exactly the same length (138 pm). In addition, the pi bonds in benzene are significantly less reactive than 'normal' pi bonds, either isolated or conjugated. Something about the structure of benzene makes its pi bonding arrangement especially stable. This \u2018something\u2019 has a name: it is called \u2018aromaticity\u2019. <\/span>\r\n\r\n<span class=\"mt-font-arial\">What exactly is this \u2018aromatic\u2019 property that makes the pi bonds in benzene so stable? In large part, the answer to this question lies in the fact that benzene is a <em>cyclic<\/em> molecule in which all of the ring atoms are <em>sp<sup>2<\/sup><\/em>-hybridized. This allows the pi electrons to be delocalized in molecular orbitals that extend all the way around the ring, above and below the plane. For this to happen, of course, the ring must be planar \u2013 otherwise the <em>p<\/em> orbitals couldn\u2019t overlap properly. Benzene is indeed known to be a flat molecule. <\/span>\r\n\r\n&nbsp;\r\n\r\n<img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135116\/fig2-2-11.png\" alt=\"fig2-2-11.png\" width=\"415\" height=\"152\" \/>\r\n\r\n<span class=\"mt-font-arial\">Do all cyclic molecules with alternating single and double bonds have this same aromatic stability? The answer, in fact, is \u2018no\u2019. The eight-membered cyclooctatetraene ring shown below is <em>not<\/em> flat, and its \u03c0 bonds react like 'normal' alkenes.<\/span>\r\n\r\n<span class=\"mt-font-arial\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135119\/fig2-2-12.png\" alt=\"fig2-2-12.png\" width=\"147px\" height=\"133px\" \/><\/span>\r\n\r\n<span class=\"mt-font-times-new-roman\"><span class=\"mt-font-arial\">Clearly it takes something more to<\/span> <span class=\"mt-font-arial\">be aromatic, and this can best be explained with molecular orbital theory. Let\u2019s look at an energy diagram of the <\/span><\/span><span class=\"mt-font-arial\">pi molecular orbitals in benzene. <\/span>\r\n\r\n<span class=\"mt-font-arial\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135121\/fig2-2-13.png\" alt=\"fig2-2-13.png\" width=\"737px\" height=\"397px\" \/><\/span>\r\n\r\n<span class=\"mt-font-arial\">Quantum mechanical calculations tell us that the six pi molecular orbitals in benzene, formed from six atomic <em>p<\/em> orbitals, occupy four separate energy levels. pi<sub>1<\/sub> and pi<sub>6<\/sub>* have unique energy levels, while the pi<sub>2<\/sub> - pi<sub>3<\/sub> and pi<sub>4<\/sub>*- pi<sub>5<\/sub>* pairs are <strong>degenerate<\/strong>, meaning they are at the same energy level. When we use the <em>aufbau<\/em> principle to fill up these orbitals with the six pi electrons in benzene, we see that the bonding orbitals are completely filled, and the antibonding orbitals are empty. This gives us a good clue to the source of the special stability of benzene: a full set of bonding MO\u2019s is similar in many ways to the \u2018full shell\u2019 of electrons in the atomic orbitals of the stable noble gases helium, neon, and argon.<\/span>\r\n\r\n<span class=\"mt-font-arial\">Now, let\u2019s do the same thing for cyclooctatetraene, which we have already learned is <em>not<\/em> aromatic. <\/span>\r\n\r\n&nbsp;\r\n\r\n<img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135125\/fig2-2-14.png\" alt=\"fig2-2-14.png\" width=\"630px\" height=\"482px\" \/>\r\n\r\n<span class=\"mt-font-arial\">The result of molecular orbital calculations tells us that the lowest and highest energy MOs (pi<sub>1<\/sub> and pi<sub>8<\/sub>*) have unique energy levels, while the other six form degenerate pairs. Notice that pi<sub>4<\/sub> and pi<sub>5<\/sub> are at the same energy level as the isolated 2<em>p<\/em><sub>z<\/sub> atomic orbitals: these are therefore neither bonding nor antibonding, rather they are referred to as <strong>nonbonding MOs<\/strong>. Filling up the MOs with the eight pi electrons in the molecule, we find that the last two electrons are unpaired and fall into the two degenerate nonbonding orbitals. Because we don't have a perfect filled shell of bonding MOs, our molecule is not aromatic. As a consequence, each of the double bonds in cyclooctatetraene acts more like an <em>isolated<\/em> double bond.<\/span>\r\n\r\n<span class=\"mt-font-arial\">Here, then, are the conditions that must be satisfied for a molecule or group to be considered aromatic:<\/span>\r\n<div>\r\n<div id=\"example\">\r\n<div class=\"textbox shaded\">\r\n<div>\r\n<div id=\"example\">\r\n<p class=\"mt-indent-2\"><strong><span class=\"mt-font-size-18\"><span class=\"mt-font-arial\">Criteria for aromaticity:<\/span><\/span><\/strong><\/p>\r\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The molecule or group must be cyclic.<\/span><\/p>\r\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The ring must be planar.<\/span><\/p>\r\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">Each atom in the ring must be <em>sp<sup>2<\/sup><\/em>-hybridized.<\/span><\/p>\r\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The number of pi electrons in the ring must equal 4<em>n<\/em>+2, where <em>n<\/em> is any positive integer including zero.<\/span><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<span class=\"mt-font-arial\">Rule #4 is known as the <strong>H\u00fcckel rule<\/strong>, named after Erich H\u00fcckel, a German scientist who studied aromatic compounds in the 1930\u2019s. If <em>n<\/em> = 0, the H\u00fcckel number is <strong>2<\/strong>. If <em>n<\/em> = 1, the H\u00fcckel number is <strong>6<\/strong> (the H\u00fcckel number for benzene). The series continues with <strong>10, 14, 18, 22,<\/strong> and so on. Cyclooctatetraene has eight pi electrons, which is <em>not<\/em> a H\u00fcckel number. Because six is such a common H\u00fcckel number, chemists often use the term <strong>'aromatic sextet'<\/strong>.<\/span>\r\n\r\n<span class=\"mt-font-arial\">Benzene rings are ubiquitous in biomolecules and drugs - below are just a few examples. <\/span>\r\n\r\n<img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135129\/fig2-2-15.png\" alt=\"fig2-2-15.png\" width=\"604px\" height=\"557px\" \/>\r\n\r\n<span class=\"mt-font-arial\">Recall that a benzene ring with a hydoxyl substituent -such as seen in the tyrosine structure above - is called a <strong>phenol<\/strong>.<\/span>\r\n\r\n<span class=\"mt-font-arial\"><strong>Heterocycles<\/strong> - cyclic structures in which the ring atoms may include oxygen or nitrogen - can also be aromatic. Pyridine, for example, is an aromatic heterocycle. In the bonding picture for pyridine, the nitrogen is <em>sp<sup>2<\/sup><\/em>-hybridized, with two of the three <em>sp<sup>2<\/sup><\/em> orbitals forming sigma overlaps with the <em>sp<sup>2<\/sup><\/em> orbitals of neighboring carbon atoms, and the third nitrogen <em>sp<sup>2<\/sup><\/em> orbital containing the lone pair. The unhybridized <em>p<\/em> orbital contains a single electron, which is part of the 6 pi-electron system delocalized around the ring.<\/span>\r\n<p class=\"mt-align-center\"><span class=\"mt-font-arial\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135133\/fig2-2-16.png\" alt=\"fig2-2-16.png\" width=\"780px\" height=\"441px\" \/><\/span><\/p>\r\n<a class=\"external\" title=\"http:\/\/wps.prenhall.com\/wps\/media\/objects\/724\/741576\/Instructor_Resources\/Chapter_15\/Text_Images\/FG15_01-13-2UN.JPG\" href=\"http:\/\/wps.prenhall.com\/wps\/media\/objects\/724\/741576\/Instructor_Resources\/Chapter_15\/Text_Images\/FG15_01-13-2UN.JPG\" target=\"_blank\" rel=\"external nofollow noopener\">another image of orbitals in pyridine<\/a>\r\n\r\n<span class=\"mt-font-Times New Roman\">Pyridoxine, commonly known as vitamin B<sub>6<\/sub>, and nicotine are both substituted pyridines.<\/span>\r\n<p class=\"mt-align-center\"><span class=\"mt-font-Times New Roman\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135135\/pyridoxine_nicotine.png\" alt=\"\" width=\"393px\" height=\"197px\" \/><\/span><\/p>\r\n<span class=\"mt-font-size-16\"><span class=\"mt-font-arial\">Pyrrole is a five-membered aromatic heterocycle.\u00a0 In pyrrole, the lone pair electrons on the <em>sp<sup>2<\/sup><\/em>-hybridized nitrogen are part of the aromatic sextet (contrast this to pyridine, where the lone pair occupies one of the <em>sp<sup>2<\/sup><\/em> hybrid orbitals).<\/span><\/span>\r\n<p class=\"mt-align-center\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135140\/pyrrole.png\" alt=\"\" width=\"769px\" height=\"484px\" \/><\/p>\r\n&nbsp;\r\n\r\n<span class=\"mt-font-arial\">Why don't we assume that the nitrogen in pyrrole is s<em>p<sup>3<\/sup><\/em>-hybridized, like a normal secondary amine? The answer is simple: if it were, then pyrrole could not be aromatic, and thus it would not have the stability associated with aromaticity. In general,<em> if a molecule or group can be aromatic, it will be,<\/em> just as water will always flow downhill if there is a downhill pathway available.<\/span>\r\n\r\n<span class=\"mt-font-arial\">Imidazole is another important example of an aromatic heterocycle found in biomolecules - the side chain of the amino acid histidine contains an imidazole ring. <\/span>\r\n\r\n<span class=\"mt-font-arial\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135142\/fig2-2-21.png\" alt=\"\" width=\"449px\" height=\"215px\" \/><\/span>\r\n\r\n&nbsp;\r\n\r\n<span class=\"mt-font-arial\">In imidazole, one nitrogen is 'pyrrole-like' (the lone pair contributes to the aromatic sextet) and one is 'pyridine-like' (the lone pair is located in an <em>sp<sup>2<\/sup><\/em> orbital, and is <em>not<\/em> part of the aromatic sextet).<\/span>\r\n\r\n<span class=\"mt-font-arial\"><strong>Fused-ring<\/strong> structures can also fulfill the H\u00fcckel criteria, and often have many of the same properties as monocyclic aromatic compounds, including a planar structure. Indole (a functional group on the side chain of the amino acid tryptophan) and purine (found in guanine and adenine nucleotide bases) both have a total of ten pi electrons delocalized around two rings. <\/span>\r\n\r\n<img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135144\/fig2-2-20.png\" alt=\"fig2-2-20.png\" width=\"333px\" height=\"150px\" \/>\r\n\r\n<span class=\"mt-font-size-16\"><span class=\"mt-font-arial\">The nucleic acid bases of DNA and RNA - guanine, adenine, cytosine, thymine, and uracil - are all aromatic systems, with the characteristic aromatic properties of planarity and delocalized p electron density. When you study the structure and function of DNA and RNA in a biochemistry or molecular biology course, you will see that the planar shape of the bases plays a critically important role.<\/span><\/span>\r\n<p class=\"mt-align-center\"><img class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135148\/nucleotides.png\" alt=\"\" width=\"669px\" height=\"459px\" \/><\/p>\r\n\r\n<div>\r\n<div class=\"textbox exercises\">\r\n<h3>Exercises<\/h3>\r\n<u><strong>Exercise 2.11:<\/strong><\/u><span class=\"mt-font-arial\"> Classify the nitrogen atoms of indole and purine as either 'pyrrole-like' or 'pyridine-like', in terms of where the lone pair electrons are located.<\/span>\r\n\r\n<u><strong>Exercise 2.12: <\/strong><\/u><span class=\"mt-font-arial\">Are the following molecules\/ions aromatic? Explain, using criteria you learned in this section. <\/span>\r\n\r\n<img class=\"internal default\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135151\/figE2-2-3.png\" alt=\"figE2-2-3.png\" width=\"414px\" height=\"224px\" \/>\r\n<p class=\"mt-align-right\"><a title=\"Solutions to Chapter 2 exercises\" href=\"https:\/\/chem.libretexts.org\/Textbook_Maps\/Organic_Chemistry\/Book%3A_Organic_Chemistry_with_a_Biological_Emphasis_(Soderberg)\/Chapter_02%3A_Introduction_to_organic_structure_and_bonding_II\/Solutions_to_Chapter_2_exercises\" target=\"_blank\" rel=\"internal noopener\">Solutions to exercises<\/a><\/p>\r\n\r\n<\/div>\r\n&nbsp;\r\n\r\n<\/div>\r\n<\/div>\r\n<\/section><\/article>","rendered":"<header class=\"elm-header\">\n<div class=\"elm-header-custom\"><\/div>\n<\/header>\n<article id=\"elm-main-content\" class=\"elm-content-container\">\n<header class=\"mt-content-header\">\n<div id=\"batchTreeHolder\">\n<h1>Molecular Orbital Theory: Conjugation and Aromaticity<\/h1>\n<div class=\"wiki-tree\"><span style=\"font-size: 1rem;text-align: initial\">Valence bond theory does a remarkably good job at explaining the bonding geometry of many of the functional groups in organic compounds. There are some areas, however, where the valence bond theory falls short. It fails to adequately account, for example, for some interesting properties of compounds that contain alternating double and single bonds. In order to understand these properties, we need to think about chemical bonding in a new way, using the ideas of molecular orbital (MO) theory.\u00a0 If you have forgotten what is meant by the term \u201cmolecular orbital,\u201d combine a review of <a href=\"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry\/chapter\/2-1-combining-atomic-orbitals-s-and-p-bonding\/\">Chapter 2<\/a> with your study of this section.<br \/>\n<\/span><\/div>\n<\/div>\n<\/header>\n<section class=\"mt-content-container\">\n<p class=\"mt-align-justify\"><span class=\"mt-font-arial\">Let\u2019s go back and consider again the simplest possible covalent bond: the one in molecular hydrogen (H<sub>2<\/sub>). When we described the hydrogen molecule using valence bond theory, we said that the two 1<em>s<\/em> orbitals from each atom overlap, allowing the two electrons to be shared and thus forming a covalent bond. In molecular orbital theory, we make a further statement: we say that the two atomic 1<em>s<\/em> orbitals mathematically combine to form two new orbitals. Recall that an atomic orbital (such as the 1s orbital of a hydrogen atom) describes a region of space around a single atom inside which electrons are likely to be found. <em>A molecular orbital describes a region of space around two or more atoms inside which electrons are likely to be found.<\/em><\/span><\/p>\n<p class=\"mt-align-justify\"><span class=\"mt-font-arial\">Mathematical principles tell us that when orbitals combine, the number of orbitals before the combination takes place must equal the number of new orbitals that result from the combination \u2013 orbitals don\u2019t just disappear! We saw this previously when we discussed hybrid orbitals: one <em>s<\/em> and three <em>p<\/em> orbitals make four <em>sp<sup>3<\/sup><\/em> hybrids. When two atomic 1<em>s<\/em> orbitals combine in the formation of H<sub>2<\/sub>, the result is <em>two<\/em> <strong>sigma<\/strong> (<\/span><strong>\u03c3)<\/strong><span class=\"mt-font-arial\"> <strong>orbitals<\/strong>. <\/span><\/p>\n<p>&nbsp;<\/p>\n<div style=\"width: 652px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"internal default\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135043\/fig2-2-1.png\" alt=\"\" width=\"642\" height=\"264\" \/><\/p>\n<p class=\"wp-caption-text\"><strong>Molecular orbitals for H<sub>2<\/sub><\/strong><\/p>\n<\/div>\n<p><span class=\"mt-font-arial\">According to MO theory, one sigma orbital is lower in energy than either of the two isolated atomic 1<em>s<\/em> orbitals \u2013this lower sigma orbital is referred to as a <strong>bonding molecular orbital<\/strong>. The second, <strong>&#8216;s<\/strong><strong>igma star&#8217; orbital<\/strong> is higher in energy than the two atomic 1<em>s<\/em> orbitals, and is referred to as an <strong>antibonding molecular orbital<\/strong>.<\/span><\/p>\n<p><span class=\"mt-font-arial\">The bonding sigma orbital, which holds both electrons in the ground state of the molecule, is egg-shaped, encompassing the two nuclei, and with the highest likelihood of electrons being in the area between the two nuclei. The high-energy, antibonding sigma* orbital can be visualized as a pair of droplets, with areas of higher electron density near each nucleus and a \u2018node\u2019, (area of zero electron density) midway between the two nuclei. <\/span><\/p>\n<p><span class=\"mt-font-arial\">Remember that we are thinking here about electron behavior as <em>wave behavior<\/em>. When two separate waves combine, they can do so with <strong>constructive interference<\/strong>, where the two amplitudes build up and reinforce one another, or <strong>destructive interference<\/strong>, where the two amplitudes cancel one another out. Bonding MOs are the consequence of constructive interference between two atomic orbitals, which results in an attractive interaction and an increase in electron density between the nuclei. Antibonding MO\u2019s are the consequence of destructive interference which results in a repulsive interaction and a region of zero electron density between the nuclei (in other words, a node).<\/span><\/p>\n<p><span class=\"mt-font-arial\">Following the same <em>aufbau <\/em>(&#8216;building up&#8217;) principle you learned in General Chemistry for writing out electron configurations, we place the two electrons in the H<sub>2<\/sub> molecule in the lowest energy molecular orbital, which is the (bonding) sigma orbital. The bonding (attracting) MO is full, and the antibonding (repulsing) MO is empty.<\/span><\/p>\n<div id=\"section_1\" class=\"mt-section\">\n<h2 class=\"editable\"><span class=\"mt-font-arial\">MO theory and conjugated pi bonds<\/span><\/h2>\n<p><span class=\"mt-font-arial\">The advantage of using MO theory to understand bonding in organic molecules becomes more apparent when we think about pi bonds.\u00a0 We find that the theory predicts that when we have a connected series of sp<sup>2<\/sup> carbons, the pi bonds are said to be &#8220;conjugated.&#8221;\u00a0\u00a0 In a conjugated system the pi bonds can be delocalized over the whole series of atoms, and this leads to additional stabilization.\u00a0 Note: Other second row sp<sup>2<\/sup> atoms, such as oxygen and nitrogen, can also participate in this delocalization, as can sp hybridized atoms.\u00a0 If the conjugated system occurs in certain types of ring, such as a six-carbon benzene ring, it leads to exceptionally high stabilization called aromaticity, which we will discuss in <a href=\"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/chapter\/13-4-aromaticity\/\">section 13.5<\/a>.<br \/>\n<\/span><\/p>\n<div>\n<div id=\"exercise\">\n<div class=\"textbox exercises\">\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div id=\"section_2\" class=\"mt-section\">\n<h2>Aromaticity<\/h2>\n<p><span class=\"mt-font-arial\">Molecular orbital theory is especially helpful in explaining the unique properties of <strong>aromatic<\/strong> compounds such as benzene: <\/span><\/p>\n<p><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135114\/fig2-2-10.png\" alt=\"fig2-2-10.png\" width=\"163px\" height=\"188px\" \/><\/p>\n<p class=\"mt-align-right\"><a class=\"external\" title=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" href=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" target=\"_blank\" rel=\"external nofollow noopener\">3D interactive model of <\/a><a class=\"external\" title=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" href=\"http:\/\/www.chemtube3d.com\/orbitalsbenzene.htm\" target=\"_blank\" rel=\"external nofollow noopener\">benzene<\/a><\/p>\n<p><span class=\"mt-font-arial\">Although<\/span><span class=\"mt-font-arial\"> benzene is most often drawn with three double bonds and three single bonds, in fact all of the carbon-carbon bonds iare exactly the same length (138 pm). In addition, the pi bonds in benzene are significantly less reactive than &#8216;normal&#8217; pi bonds, either isolated or conjugated. Something about the structure of benzene makes its pi bonding arrangement especially stable. This \u2018something\u2019 has a name: it is called \u2018aromaticity\u2019. <\/span><\/p>\n<p><span class=\"mt-font-arial\">What exactly is this \u2018aromatic\u2019 property that makes the pi bonds in benzene so stable? In large part, the answer to this question lies in the fact that benzene is a <em>cyclic<\/em> molecule in which all of the ring atoms are <em>sp<sup>2<\/sup><\/em>-hybridized. This allows the pi electrons to be delocalized in molecular orbitals that extend all the way around the ring, above and below the plane. For this to happen, of course, the ring must be planar \u2013 otherwise the <em>p<\/em> orbitals couldn\u2019t overlap properly. Benzene is indeed known to be a flat molecule. <\/span><\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135116\/fig2-2-11.png\" alt=\"fig2-2-11.png\" width=\"415\" height=\"152\" \/><\/p>\n<p><span class=\"mt-font-arial\">Do all cyclic molecules with alternating single and double bonds have this same aromatic stability? The answer, in fact, is \u2018no\u2019. The eight-membered cyclooctatetraene ring shown below is <em>not<\/em> flat, and its \u03c0 bonds react like &#8216;normal&#8217; alkenes.<\/span><\/p>\n<p><span class=\"mt-font-arial\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135119\/fig2-2-12.png\" alt=\"fig2-2-12.png\" width=\"147px\" height=\"133px\" \/><\/span><\/p>\n<p><span class=\"mt-font-times-new-roman\"><span class=\"mt-font-arial\">Clearly it takes something more to<\/span> <span class=\"mt-font-arial\">be aromatic, and this can best be explained with molecular orbital theory. Let\u2019s look at an energy diagram of the <\/span><\/span><span class=\"mt-font-arial\">pi molecular orbitals in benzene. <\/span><\/p>\n<p><span class=\"mt-font-arial\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135121\/fig2-2-13.png\" alt=\"fig2-2-13.png\" width=\"737px\" height=\"397px\" \/><\/span><\/p>\n<p><span class=\"mt-font-arial\">Quantum mechanical calculations tell us that the six pi molecular orbitals in benzene, formed from six atomic <em>p<\/em> orbitals, occupy four separate energy levels. pi<sub>1<\/sub> and pi<sub>6<\/sub>* have unique energy levels, while the pi<sub>2<\/sub> &#8211; pi<sub>3<\/sub> and pi<sub>4<\/sub>*- pi<sub>5<\/sub>* pairs are <strong>degenerate<\/strong>, meaning they are at the same energy level. When we use the <em>aufbau<\/em> principle to fill up these orbitals with the six pi electrons in benzene, we see that the bonding orbitals are completely filled, and the antibonding orbitals are empty. This gives us a good clue to the source of the special stability of benzene: a full set of bonding MO\u2019s is similar in many ways to the \u2018full shell\u2019 of electrons in the atomic orbitals of the stable noble gases helium, neon, and argon.<\/span><\/p>\n<p><span class=\"mt-font-arial\">Now, let\u2019s do the same thing for cyclooctatetraene, which we have already learned is <em>not<\/em> aromatic. <\/span><\/p>\n<p>&nbsp;<\/p>\n<p><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135125\/fig2-2-14.png\" alt=\"fig2-2-14.png\" width=\"630px\" height=\"482px\" \/><\/p>\n<p><span class=\"mt-font-arial\">The result of molecular orbital calculations tells us that the lowest and highest energy MOs (pi<sub>1<\/sub> and pi<sub>8<\/sub>*) have unique energy levels, while the other six form degenerate pairs. Notice that pi<sub>4<\/sub> and pi<sub>5<\/sub> are at the same energy level as the isolated 2<em>p<\/em><sub>z<\/sub> atomic orbitals: these are therefore neither bonding nor antibonding, rather they are referred to as <strong>nonbonding MOs<\/strong>. Filling up the MOs with the eight pi electrons in the molecule, we find that the last two electrons are unpaired and fall into the two degenerate nonbonding orbitals. Because we don&#8217;t have a perfect filled shell of bonding MOs, our molecule is not aromatic. As a consequence, each of the double bonds in cyclooctatetraene acts more like an <em>isolated<\/em> double bond.<\/span><\/p>\n<p><span class=\"mt-font-arial\">Here, then, are the conditions that must be satisfied for a molecule or group to be considered aromatic:<\/span><\/p>\n<div>\n<div id=\"example\">\n<div class=\"textbox shaded\">\n<div>\n<div id=\"example\">\n<p class=\"mt-indent-2\"><strong><span class=\"mt-font-size-18\"><span class=\"mt-font-arial\">Criteria for aromaticity:<\/span><\/span><\/strong><\/p>\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The molecule or group must be cyclic.<\/span><\/p>\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The ring must be planar.<\/span><\/p>\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">Each atom in the ring must be <em>sp<sup>2<\/sup><\/em>-hybridized.<\/span><\/p>\n<p class=\"mt-indent-2\"><span class=\"mt-font-arial\">The number of pi electrons in the ring must equal 4<em>n<\/em>+2, where <em>n<\/em> is any positive integer including zero.<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><span class=\"mt-font-arial\">Rule #4 is known as the <strong>H\u00fcckel rule<\/strong>, named after Erich H\u00fcckel, a German scientist who studied aromatic compounds in the 1930\u2019s. If <em>n<\/em> = 0, the H\u00fcckel number is <strong>2<\/strong>. If <em>n<\/em> = 1, the H\u00fcckel number is <strong>6<\/strong> (the H\u00fcckel number for benzene). The series continues with <strong>10, 14, 18, 22,<\/strong> and so on. Cyclooctatetraene has eight pi electrons, which is <em>not<\/em> a H\u00fcckel number. Because six is such a common H\u00fcckel number, chemists often use the term <strong>&#8216;aromatic sextet&#8217;<\/strong>.<\/span><\/p>\n<p><span class=\"mt-font-arial\">Benzene rings are ubiquitous in biomolecules and drugs &#8211; below are just a few examples. <\/span><\/p>\n<p><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135129\/fig2-2-15.png\" alt=\"fig2-2-15.png\" width=\"604px\" height=\"557px\" \/><\/p>\n<p><span class=\"mt-font-arial\">Recall that a benzene ring with a hydoxyl substituent -such as seen in the tyrosine structure above &#8211; is called a <strong>phenol<\/strong>.<\/span><\/p>\n<p><span class=\"mt-font-arial\"><strong>Heterocycles<\/strong> &#8211; cyclic structures in which the ring atoms may include oxygen or nitrogen &#8211; can also be aromatic. Pyridine, for example, is an aromatic heterocycle. In the bonding picture for pyridine, the nitrogen is <em>sp<sup>2<\/sup><\/em>-hybridized, with two of the three <em>sp<sup>2<\/sup><\/em> orbitals forming sigma overlaps with the <em>sp<sup>2<\/sup><\/em> orbitals of neighboring carbon atoms, and the third nitrogen <em>sp<sup>2<\/sup><\/em> orbital containing the lone pair. The unhybridized <em>p<\/em> orbital contains a single electron, which is part of the 6 pi-electron system delocalized around the ring.<\/span><\/p>\n<p class=\"mt-align-center\"><span class=\"mt-font-arial\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135133\/fig2-2-16.png\" alt=\"fig2-2-16.png\" width=\"780px\" height=\"441px\" \/><\/span><\/p>\n<p><a class=\"external\" title=\"http:\/\/wps.prenhall.com\/wps\/media\/objects\/724\/741576\/Instructor_Resources\/Chapter_15\/Text_Images\/FG15_01-13-2UN.JPG\" href=\"http:\/\/wps.prenhall.com\/wps\/media\/objects\/724\/741576\/Instructor_Resources\/Chapter_15\/Text_Images\/FG15_01-13-2UN.JPG\" target=\"_blank\" rel=\"external nofollow noopener\">another image of orbitals in pyridine<\/a><\/p>\n<p><span class=\"mt-font-Times New Roman\">Pyridoxine, commonly known as vitamin B<sub>6<\/sub>, and nicotine are both substituted pyridines.<\/span><\/p>\n<p class=\"mt-align-center\"><span class=\"mt-font-Times New Roman\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135135\/pyridoxine_nicotine.png\" alt=\"\" width=\"393px\" height=\"197px\" \/><\/span><\/p>\n<p><span class=\"mt-font-size-16\"><span class=\"mt-font-arial\">Pyrrole is a five-membered aromatic heterocycle.\u00a0 In pyrrole, the lone pair electrons on the <em>sp<sup>2<\/sup><\/em>-hybridized nitrogen are part of the aromatic sextet (contrast this to pyridine, where the lone pair occupies one of the <em>sp<sup>2<\/sup><\/em> hybrid orbitals).<\/span><\/span><\/p>\n<p class=\"mt-align-center\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135140\/pyrrole.png\" alt=\"\" width=\"769px\" height=\"484px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><span class=\"mt-font-arial\">Why don&#8217;t we assume that the nitrogen in pyrrole is s<em>p<sup>3<\/sup><\/em>-hybridized, like a normal secondary amine? The answer is simple: if it were, then pyrrole could not be aromatic, and thus it would not have the stability associated with aromaticity. In general,<em> if a molecule or group can be aromatic, it will be,<\/em> just as water will always flow downhill if there is a downhill pathway available.<\/span><\/p>\n<p><span class=\"mt-font-arial\">Imidazole is another important example of an aromatic heterocycle found in biomolecules &#8211; the side chain of the amino acid histidine contains an imidazole ring. <\/span><\/p>\n<p><span class=\"mt-font-arial\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135142\/fig2-2-21.png\" alt=\"\" width=\"449px\" height=\"215px\" \/><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span class=\"mt-font-arial\">In imidazole, one nitrogen is &#8216;pyrrole-like&#8217; (the lone pair contributes to the aromatic sextet) and one is &#8216;pyridine-like&#8217; (the lone pair is located in an <em>sp<sup>2<\/sup><\/em> orbital, and is <em>not<\/em> part of the aromatic sextet).<\/span><\/p>\n<p><span class=\"mt-font-arial\"><strong>Fused-ring<\/strong> structures can also fulfill the H\u00fcckel criteria, and often have many of the same properties as monocyclic aromatic compounds, including a planar structure. Indole (a functional group on the side chain of the amino acid tryptophan) and purine (found in guanine and adenine nucleotide bases) both have a total of ten pi electrons delocalized around two rings. <\/span><\/p>\n<p><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135144\/fig2-2-20.png\" alt=\"fig2-2-20.png\" width=\"333px\" height=\"150px\" \/><\/p>\n<p><span class=\"mt-font-size-16\"><span class=\"mt-font-arial\">The nucleic acid bases of DNA and RNA &#8211; guanine, adenine, cytosine, thymine, and uracil &#8211; are all aromatic systems, with the characteristic aromatic properties of planarity and delocalized p electron density. When you study the structure and function of DNA and RNA in a biochemistry or molecular biology course, you will see that the planar shape of the bases plays a critically important role.<\/span><\/span><\/p>\n<p class=\"mt-align-center\"><img decoding=\"async\" class=\"internal default aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135148\/nucleotides.png\" alt=\"\" width=\"669px\" height=\"459px\" \/><\/p>\n<div>\n<div class=\"textbox exercises\">\n<h3>Exercises<\/h3>\n<p><u><strong>Exercise 2.11:<\/strong><\/u><span class=\"mt-font-arial\"> Classify the nitrogen atoms of indole and purine as either &#8216;pyrrole-like&#8217; or &#8216;pyridine-like&#8217;, in terms of where the lone pair electrons are located.<\/span><\/p>\n<p><u><strong>Exercise 2.12: <\/strong><\/u><span class=\"mt-font-arial\">Are the following molecules\/ions aromatic? Explain, using criteria you learned in this section. <\/span><\/p>\n<p><img decoding=\"async\" class=\"internal default\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/3773\/2018\/11\/21135151\/figE2-2-3.png\" alt=\"figE2-2-3.png\" width=\"414px\" height=\"224px\" \/><\/p>\n<p class=\"mt-align-right\"><a title=\"Solutions to Chapter 2 exercises\" href=\"https:\/\/chem.libretexts.org\/Textbook_Maps\/Organic_Chemistry\/Book%3A_Organic_Chemistry_with_a_Biological_Emphasis_(Soderberg)\/Chapter_02%3A_Introduction_to_organic_structure_and_bonding_II\/Solutions_to_Chapter_2_exercises\" target=\"_blank\" rel=\"internal noopener\">Solutions to exercises<\/a><\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/section>\n<\/article>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-185\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>2.2: Molecular orbital theory: conjugation and aromaticity. <strong>Authored by<\/strong>: Tim Soderberg (University of Minnesota, Morris). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/chem.libretexts.org\/Textbook_Maps\/Organic_Chemistry\/Book%3A_Organic_Chemistry_with_a_Biological_Emphasis_(Soderberg)\/Chapter_02%3A_Introduction_to_organic_structure_and_bonding_II\/2.2%3A_Molecular_orbital_theory%3A_conjugation_and_aromaticity\">https:\/\/chem.libretexts.org\/Textbook_Maps\/Organic_Chemistry\/Book%3A_Organic_Chemistry_with_a_Biological_Emphasis_(Soderberg)\/Chapter_02%3A_Introduction_to_organic_structure_and_bonding_II\/2.2%3A_Molecular_orbital_theory%3A_conjugation_and_aromaticity<\/a>. <strong>Project<\/strong>: Chemistry LibreTexts. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-nc-sa\/4.0\/\">CC BY-NC-SA: Attribution-NonCommercial-ShareAlike<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":311,"menu_order":1,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"2.2: Molecular orbital theory: conjugation and aromaticity\",\"author\":\"Tim Soderberg (University of Minnesota, Morris)\",\"organization\":\"\",\"url\":\"https:\/\/chem.libretexts.org\/Textbook_Maps\/Organic_Chemistry\/Book%3A_Organic_Chemistry_with_a_Biological_Emphasis_(Soderberg)\/Chapter_02%3A_Introduction_to_organic_structure_and_bonding_II\/2.2%3A_Molecular_orbital_theory%3A_conjugation_and_aromaticity\",\"project\":\"Chemistry LibreTexts\",\"license\":\"cc-by-nc-sa\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-185","chapter","type-chapter","status-publish","hentry"],"part":313,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapters\/185","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/wp\/v2\/users\/311"}],"version-history":[{"count":12,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapters\/185\/revisions"}],"predecessor-version":[{"id":2616,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapters\/185\/revisions\/2616"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/parts\/313"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapters\/185\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/wp\/v2\/media?parent=185"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/pressbooks\/v2\/chapter-type?post=185"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/wp\/v2\/contributor?post=185"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/suny-potsdam-organicchemistry2\/wp-json\/wp\/v2\/license?post=185"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}