{"id":983,"date":"2010-10-13T15:13:57","date_gmt":"2010-10-13T13:13:57","guid":{"rendered":"http:\/\/masterorganicchemistry.wordpress.com\/?p=983"},"modified":"2026-01-06T16:34:16","modified_gmt":"2026-01-06T22:34:16","slug":"sigma-bonds-come-in-six-varieties-pi-bonds-come-in-one","status":"publish","type":"post","link":"https:\/\/www.masterorganicchemistry.com\/2010\/10\/13\/sigma-bonds-come-in-six-varieties-pi-bonds-come-in-one\/","title":{"rendered":"Sigma bonds come in six varieties: Pi bonds come in one"},"content":{"rendered":"<p>You may recall from Gen chem (and no doubt your first week of o-chem as well), that orbitals on carbon come in two flavors: s and p.<\/p>\n<p><strong>s orbitals<\/strong> should be familiar as\u00a0the spherical-shaped orbitals. The electrons of hydrogen, for instance, are in a 1s orbital.<\/p>\n<p><strong>p orbitals<\/strong> are shaped like figure-eights, or loops. The electrons in p orbitals are slightly farther away from the nucleus than those in s orbitals, so they are a little bit higher in energy. The p orbitals therefore fill with electrons only after the s orbitals are filled.<\/p>\n<p><em>Hybridization<\/em> is a concept that\u00a0 we address here.<\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-38654\" src=\"https:\/\/www.masterorganicchemistry.com\/wp-content\/uploads\/2024\/12\/0-summary-sigma-bond-varities-sp3-sp3-vs-sp3-sp2-vs-sp3-sp-bond-strength-increases-with-s-orbital-character.gif\" alt=\"summary-sigma bond varities sp3 sp3 vs sp3 sp2 vs sp3 sp bond strength increases with s orbital character\" width=\"640\" height=\"559\" \/><\/a><\/p>\n<p>What&#8217;s observed from analyzing the structure of molecules such as CH<sub>4<\/sub> is that the shapes cannot result from the electrons being in s or p orbitals alone, but instead are a consequence of the electrons in s and p orbitals mixing to form <em>hybrid <\/em>orbitals. If you draw an analogy to how we could make a &#8220;hybrid&#8221; soft drink by\u00a0 mixing different proportions of Sprite and Pepsi, these new orbitals aren&#8217;t fully s or fully p, but are a combination of both. The &#8220;flavor&#8221; of each bond depends on the relative proportions of s orbital and p orbital content:<\/p>\n<ul>\n<li>sp<sup>3<\/sup> = 25% s character, 75% p character<\/li>\n<li>sp<sup>2<\/sup> = 33% s character, 66% p character<\/li>\n<li>sp = 50% s character, 50% p character.<\/li>\n<\/ul>\n<p>It is these hybrid orbitals that form sigma bonds (\u03c3 bonds). Sigma bonds are created from the <em>head-on<\/em> overlap of orbitals. Those orbitals will be some combination of s orbitals and p orbitals.<\/p>\n<p><span style=\"color: #993366;\"><em>[What&#8217;s happened to the missing p orbitals for sp<sup>2<\/sup> and sp hybridized carbon? Well, these p orbitals aren&#8217;t involved in hybridization or in\u00a0 sigma bonding &#8211; \u00a0instead, they maintain 100% p character,\u00a0 are available to form \u03c0\u00a0bonds, which are created by the side-by-side overlap of orbitals. \u03c0\u00a0bonding involves p orbitals exclusively. ]<\/em><\/span><\/p>\n<p>Since carbon can exist in one of these three hybridization states,\u00a0<strong>we can therefore have six varieties of carbon-carbon sigma bonds:<\/strong><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-14023\" src=\"https:\/\/www.masterorganicchemistry.com\/wp-content\/uploads\/2019\/11\/1-six-types-of-carbon-carbon-sigma-bonds-sp3-sp3-sp3-sp-sp-sp2-sp3-sp2-sp2-sp2-sp-sp-vary-by-strength.gif\" alt=\"six-types-of-carbon-carbon-sigma-bonds-sp3-sp3-sp3-sp-sp-sp2-sp3-sp2-sp2-sp2-sp-sp-vary-by-strength\" width=\"500\" height=\"301\" \/><\/p>\n<p>Now, recall that for any given quantum number, s orbitals are lower in energy than p orbitals. The electrons in s orbitals are held more closely to the nucleus than electrons in p orbitals. Take a look at the relative <strong>carbon-carbon <\/strong>bond lengths and strengths for each of these six situations [<a href=\"#refone\">Ref<\/a>].<\/p>\n<p style=\"text-align: center;\"><img decoding=\"async\" class=\"alignnone wp-image-38677\" src=\"https:\/\/www.masterorganicchemistry.com\/wp-content\/uploads\/2025\/01\/2-representative-bond-lengths-of-sp3-sp3-154-pm-sp3-sp2-150-pm-sp3-sp-146-pm-2.gif\" alt=\"representative bond lengths of sp3 sp3 154 pm sp3 sp2 150 pm sp3 sp 146 pm 2\" width=\"640\" height=\"297\" \/><\/a><\/p>\n<p><strong>General principle &#8211; the more s character the bond has, the more tightly held the electrons will be. <\/strong>[<a href=\"#noteone\">Note 1<\/a>]<\/p>\n<p>Now, the number of \u03c0 bonds that can form will be dependent on the number of <em>unhybridized<\/em> p orbitals available &#8211; 1 for sp<sup>2<\/sup> hybridized carbons, 2 for sp hybridized carbons (the two \u03c0 bonds\u00a0will be at right angles to each other in the latter case).<\/p>\n<p><strong>In contrast to sigma orbitals, there is only one way to form a C-C \u03c0\u00a0bond &#8211; from the overlap of two p orbitals.<\/strong><\/p>\n<p><strong>Question<\/strong>: \u00a0Relative to sigma bonds, do you think p-p bonds (\u03c0\u00a0bonds) would be\u00a0stronger or weaker?<\/p>\n<p>1) What&#8217;s their % s-character?<\/p>\n<p>2) Energy required to break C-C bond in ethane:\u00a0 <strong>88 kcal\/mol<\/strong> (368 kJ\/mol)<\/p>\n<p>Energy required to fully break apart the C=C bond in ethene: <strong>163 kcal\/mol<\/strong> (682 kJ\/mol) . If you assume the C\u2013C bond single bond is the same as in ethane (88 kcal\/mol) this gives a bond dissociation energy for the C-C pi bond as 75 kcal\/mol.<\/p>\n<hr \/>\n<h2><a id=\"notes\"><\/a>Notes<\/h2>\n<div class=\"related-articles\"><p><strong>Related Articles<\/strong><\/p><ul><li><a href=\"https:\/\/www.masterorganicchemistry.com\/2010\/09\/22\/five-key-factors-that-influence-acidity\/\" class=\"\"><span>Five Key Factors That Influence Acidity<\/span><\/a><\/li><li><a href=\"https:\/\/www.masterorganicchemistry.com\/2010\/06\/25\/bond-dissociation-energies-homolytic-cleavage\/\" class=\"\"><span>Bond Dissociation Energies = Homolytic Cleavage<\/span><\/a><\/li><li><a href=\"https:\/\/www.masterorganicchemistry.com\/2017\/10\/10\/hybrid-orbitals\/\" class=\"\"><span>Hybrid Orbitals and Hybridization<\/span><\/a><\/li><li><a href=\"https:\/\/www.masterorganicchemistry.com\/2018\/01\/16\/a-hybridization-shortcut\/\" class=\"\"><span>How To Determine Hybridization: A Shortcut<\/span><\/a><\/li><li><a href=\"https:\/\/www.masterorganicchemistry.com\/2018\/01\/19\/hybridization-and-bond-strengths\/\" class=\"\"><span>Orbital Hybridization And Bond Strengths<\/span><\/a><\/li><li><a href=\"https:\/\/www.masterorganicchemistry.com\/organic-chemistry-practice-problems\/bond-hybridization-practice\/\" class=\"\"><span>Bond Hybridization Practice (MOC Membership)<\/span><\/a><\/li><\/ul><\/div>\n<p><strong><a id=\"noteone\"><\/a>Note 1<\/strong>. This is also why the protons in acetylene are more <a title=\"Post - &quot;5 key factors that affect acidity&quot;\" href=\"https:\/\/masterorganicchemistry.com\/2010\/09\/22\/five-key-factors-that-influence-acidity\/\">acidic<\/a> than those in ethene and ethane &#8211; the electrons in the conjugate base are more tightly held, making them more stable. If it seems contradictory that the bond is both stronger and yet more easily broken, remember that bond energies measure homolytic cleavage (<span style=\"color: #993366;\"><em>See article: <a href=\"https:\/\/www.masterorganicchemistry.com\/2010\/06\/25\/bond-dissociation-energies-homolytic-cleavage\/\">Bond Energies Measure Homolytic Cleavage<\/a><\/em><\/span>)<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h2><a id=\"quizzes\"><\/a>Quiz Yourself!<\/h2>\n<p>[quizzes]<\/p>\n<hr \/>\n<h2><strong><a id=\"references\"><\/a>(Advanced) References And Further Reading<\/strong><\/h2>\n<ol>\n<li>\n<p class=\"capsule__title fixpadv--m\"><strong><a id=\"refone\"><\/a>Tables of bond lengths determined by\u00a0<em>X<\/em>-ray and neutron diffraction. Part 1. Bond lengths in organic compounds.<\/strong> Allen, F. H.; Kennard, O.; Watson, D. G. ; Brammer, L.; Orpen, A. G.; Taylor, R. <i>J. Chem. Soc., Perkin Trans. 2<\/i>, <strong>1987<\/strong>, S1-S19<br \/>\n<strong>DOI<\/strong>: <a href=\"https:\/\/pubs.rsc.org\/en\/content\/articlelanding\/1987\/p2\/p298700000s1#!divAbstract\">10.1039\/P298700000S1<\/a><br \/>\nA useful reference, this paper collects bond lengths of various organic compounds determined from X-ray crystal diffraction data.<\/p>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>You may recall from Gen chem (and no doubt your first week of o-chem as well), that orbitals on carbon come in two flavors: s <\/p>\n","protected":false},"author":1,"featured_media":38654,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1406],"tags":[180,182,183,199,399,344,345,615,678,679],"post_folder":[],"class_list":["post-983","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bonding-structure-resonance","tag-bond-lengths","tag-bond-strengths","tag-bonding","tag-electronegativity","tag-hybridization","tag-pi-bonds","tag-sigma-bonds","tag-sp","tag-sp2","tag-sp3"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Sigma bonds come in six varieties: Pi bonds come in one &#8211; 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