{"id":737,"date":"2016-06-05T16:17:25","date_gmt":"2016-06-05T16:17:25","guid":{"rendered":"https:\/\/www.studyorgo.com\/blog\/?p=737"},"modified":"2016-06-05T16:22:19","modified_gmt":"2016-06-05T16:22:19","slug":"molecular-orbita-theory","status":"publish","type":"post","link":"https:\/\/www.studyorgo.com\/blog\/molecular-orbita-theory\/","title":{"rendered":"Molecular Orbital Theory"},"content":{"rendered":"<p>One of the most challenging concepts in conjugated system reactions is molecular orbital interactions, or <strong>MO theory<\/strong>.\u00a0 The basics to this principle can be hard to grasp, but will be very informative in predicting the correct reaction conditions and outcome of the reaction if you understand them, which will give you a major advantage on future quizzes and exams.\u00a0 We at StudyOrgo have devised a simple explanation of the basics to MO theory to help you with your study preparations.<\/p>\n<p><strong>Principles of MO Theory<\/strong><\/p>\n<p>The basic concept of MO theory is to describe the alternating patterns of orbitals that exist in pi bond systems.\u00a0 We describe the orientation of each half of the dumbbell orbital centered around an atom as being bold or open. Remember, there are bonding and antibonding orbitals.\u00a0 Essentially, orbitals with lower numbers of <strong>nodes (switches\u00a0in the orientation of the dumbbell orbital which we show with the dashed line)<\/strong> behave more like bonding orbitals while orbitals with higher numbers of nodes behave like anti-bonding orbitals.\u00a0 To determine what orbitals are occupied on your molecule, simply count how many pi bonds you have in your conjugated system.\u00a0 Below is an example of butadiene.\u00a0 It has 4 pi electrons, so we fill the lowest molecular orbitals first, two in each orbital.\u00a0 Therefore, the highest occupied molecular orbital, or <strong>HOMO<\/strong>, in butadiene is #2.\u00a0 As a result, the lowest unoccupied molecular obital, or <strong>LUMO<\/strong>, in butadiene is #3.\u00a0 We can extend this to ethylene and see that with 2 pi electrons, molecular orbital #1 is the HOMO and molecular orbital #2 is the LUMO.<\/p>\n<p><a href=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-738\" src=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1-857x1024.jpg\" alt=\"MO #1\" width=\"472\" height=\"564\" srcset=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1-857x1024.jpg 857w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1-251x300.jpg 251w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1-768x918.jpg 768w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-1.jpg 942w\" sizes=\"auto, (max-width: 472px) 100vw, 472px\" \/><\/a><\/p>\n<p><strong>Cycloadditions MO Theory<\/strong><\/p>\n<p>Remember that cycloaddition reactions describe the formation of new C-C sigma bonds through rearrangement of the pi electrons in a conjugated system.\u00a0 Therefore, we need to use the molecular orbitals of the pi electrons to drive the reaction.\u00a0 Let\u2019s take the reaction of butadiene with ethylene, the most simplistic Diels Alder reaction (4+2 cycloaddition).\u00a0 We start with the most conjugated molecule, butadiene and examine its HOMO.\u00a0 Then we look at the least conjugated molecule, ethylene and examine its LUMO.\u00a0 Why?\u00a0 <u>We need the electrons from a HOMO to flow from one molecule to another, so we have to use the LUMO orbital that is not occupied for this process.<\/u>\u00a0 We see that nodes of the HOMO and LUMO align;\u00a0<strong>that is the open and closed halves of the dumbbells align<\/strong>.\u00a0 This leads to a forward reaction and formation of the product, cyclohexene.<\/p>\n<p><a href=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-739\" src=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-2.jpg\" alt=\"MO #2\" width=\"591\" height=\"565\" srcset=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-2.jpg 908w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-2-300x287.jpg 300w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-2-768x734.jpg 768w\" sizes=\"auto, (max-width: 591px) 100vw, 591px\" \/><\/a><\/p>\n<p>However, in another example where we have a (2+2 cycloaddition), we see the HOMO and LUMO of ethylene do not align thus forbidding the reaction.\u00a0 However, we have the ability to excite electrons from the HOMO to a higher orbital using light (hv) or heat, thus changing the HOMO.\u00a0 We review this concept in detail in a <a href=\"https:\/\/www.studyorgo.com\/blog\/tips-on-sigmatropic-and-electrocyclic-reactions\/\">previous article<\/a>.\u00a0When we do this, the HOMO of excited ethylene and LUMO of ground-state ethylene align and the reaction produces cyclobutane.<\/p>\n<p><a href=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-740\" src=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3-760x1024.jpg\" alt=\"MO #3\" width=\"418\" height=\"563\" srcset=\"https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3-760x1024.jpg 760w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3-223x300.jpg 223w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3-768x1034.jpg 768w, https:\/\/www.studyorgo.com\/blog\/wp-content\/uploads\/2016\/06\/MO-3.jpg 882w\" sizes=\"auto, (max-width: 418px) 100vw, 418px\" \/><\/a><\/p>\n<p>We hope this description has helped clarify this concepts of MO theory. This is an example of the clear and simple expatiations we have prepared for over 175 reactions commonly seen in Orgo1 and Orgo2 courses.\u00a0 Sign up today for your study preparation needs!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the most challenging concepts in conjugated system reactions is molecular orbital interactions, or MO theory.\u00a0 The basics to this principle can be hard to grasp, but will be very informative in predicting the correct reaction conditions and outcome of the reaction if you understand them, which will give you a major advantage on [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[1],"tags":[65],"class_list":["post-737","post","type-post","status-publish","format-standard","hentry","category-organic-chemistry","tag-mo-theory-cycloaddition-organic-chemistry-homo-lumo-conjugated-system"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/posts\/737","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/comments?post=737"}],"version-history":[{"count":4,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/posts\/737\/revisions"}],"predecessor-version":[{"id":744,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/posts\/737\/revisions\/744"}],"wp:attachment":[{"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/media?parent=737"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/categories?post=737"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.studyorgo.com\/blog\/wp-json\/wp\/v2\/tags?post=737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}