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	<title>Physics:Quantum antibonding molecular orbital - Revision history</title>
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		<title>imported&gt;WikiHarold: WikiHarold moved page Physics:Antibonding molecular orbital to Physics:Quantum antibonding molecular orbital without leaving a redirect</title>
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		<summary type="html">&lt;p&gt;WikiHarold moved page &lt;a href=&quot;/index.php?title=Physics:Antibonding_molecular_orbital&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Physics:Antibonding molecular orbital (page does not exist)&quot;&gt;Physics:Antibonding molecular orbital&lt;/a&gt; to &lt;a href=&quot;/wiki/Physics:Quantum_antibonding_molecular_orbital&quot; title=&quot;Physics:Quantum antibonding molecular orbital&quot;&gt;Physics:Quantum antibonding molecular orbital&lt;/a&gt; without leaving a redirect&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:04, 4 May 2026&lt;/td&gt;
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		<id>https://scholarlywiki.org/index.php?title=Physics:Quantum_antibonding_molecular_orbital&amp;diff=216&amp;oldid=prev</id>
		<title>imported&gt;WikiHarold: WikiHarold moved page Physics:Antibonding molecular orbital to Physics:Quantum antibonding molecular orbital without leaving a redirect</title>
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		<summary type="html">&lt;p&gt;WikiHarold moved page &lt;a href=&quot;/index.php?title=Physics:Antibonding_molecular_orbital&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Physics:Antibonding molecular orbital (page does not exist)&quot;&gt;Physics:Antibonding molecular orbital&lt;/a&gt; to &lt;a href=&quot;/wiki/Physics:Quantum_antibonding_molecular_orbital&quot; title=&quot;Physics:Quantum antibonding molecular orbital&quot;&gt;Physics:Quantum antibonding molecular orbital&lt;/a&gt; without leaving a redirect&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Short description|Molecular orbital which weakens chemical bonding}}&lt;br /&gt;
[[Image:Dihydrogen-LUMO-phase-3D-balls.png|thumb|right|150px|H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; 1sσ* antibonding molecular orbital]]&lt;br /&gt;
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In [[Chemistry:Theoretical chemistry|theoretical chemistry]], an &amp;#039;&amp;#039;&amp;#039;antibonding orbital&amp;#039;&amp;#039;&amp;#039; is a type of [[Chemistry:Molecular orbital|molecular orbital]] that weakens the [[Chemistry:Chemical bond|chemical bond]] between two [[Atom|atom]]s and helps to raise the [[Physics:Energy level|energy]] of the [[Physics:Molecule|molecule]] relative to the separated atoms. Such an orbital has one or more [[Node|node]]s in the bonding region between the [[Physics:Atomic nucleus|nuclei]]. The [[Physics:Electron density|density]] of the [[Physics:Electron|electron]]s in the orbital is concentrated outside the bonding region and acts to pull one nucleus away from the other and tends to cause mutual repulsion between the two atoms.&amp;lt;ref&amp;gt;Atkins P. and de Paula J. &amp;#039;&amp;#039;Atkins Physical Chemistry&amp;#039;&amp;#039;. 8th ed. (W.H. Freeman 2006), p.371 {{ISBN|0-7167-8759-8}}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;Miessler G.L. and Tarr D.A., &amp;#039;&amp;#039;Inorganic Chemistry&amp;#039;&amp;#039; 2nd ed. (Prentice-Hall 1999), p.111 {{ISBN|0-13-841891-8}}&amp;lt;/ref&amp;gt;  This is in contrast to a [[Chemistry:Bonding molecular orbital|bonding molecular orbital]], which has a lower energy than that of the separate atoms, and is responsible for chemical bonds.&lt;br /&gt;
&lt;br /&gt;
==Diatomic molecules==&lt;br /&gt;
Antibonding [[Chemistry:Molecular orbital|molecular orbital]]s (MOs) are normally &amp;#039;&amp;#039;higher&amp;#039;&amp;#039; in energy than bonding molecular orbitals. Bonding and antibonding orbitals form when atoms combine into molecules. If two [[Software:Hydrogen|hydrogen]] atoms are initially far apart, they have identical [[Physics:Atomic orbital|atomic orbital]]s. However, as the spacing between the two atoms becomes smaller, the electron [[Wave function|wave function]]s begin to overlap. The [[Physics:Pauli exclusion principle|Pauli exclusion principle]] prohibits any two electrons (e-) in a molecule from having the same set of [[Physics:Quantum number|quantum number]]s.&amp;lt;ref&amp;gt;{{cite web | url=https://www.chemistry.mcmaster.ca/esam/Chapter_6/section_2.html | title=The Chemical Bond - the Effect of the Pauli Principle on Chemical Binding }}&amp;lt;/ref&amp;gt;  Therefore each original atomic orbital of the isolated atoms (for example, the ground state energy level, 1&amp;#039;&amp;#039;s&amp;#039;&amp;#039;) splits into two molecular orbitals belonging to the pair, one lower in energy than the original atomic level and one higher. The orbital which is in a lower energy state than the orbitals of the separate atoms is the bonding orbital, which is more stable and promotes the bonding of the two H atoms into H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;. The higher-energy orbital is the antibonding orbital, which is less stable and opposes bonding if it is occupied. In a molecule such as H&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt;, the two electrons normally occupy the lower-energy bonding orbital, so that the molecule is more stable than the separate H atoms.&lt;br /&gt;
&lt;br /&gt;
[[File:He2 antibonding orbital.svg|250px|right|thumb|He&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; electron configuration. The four electrons occupy one bonding orbital at lower energy, and one antibonding orbital at higher energy than the atomic orbitals.]]&lt;br /&gt;
A molecular orbital becomes antibonding when there is less [[Physics:Electron density|electron density]] between the two nuclei than there would be if there were no bonding interaction at all.&amp;lt;ref&amp;gt;{{cite journal | doi=10.3390/molecules25112667 | doi-access=free | title=The Basics of Covalent Bonding in Terms of Energy and Dynamics | year=2020 | last1=Nordholm | first1=Sture | last2=Bacskay | first2=George B. | journal=Molecules | volume=25 | issue=11 | page=2667 | pmid=32521828 | pmc=7321125 }}&amp;lt;/ref&amp;gt; When a molecular orbital changes sign (from positive to negative) at a &amp;#039;&amp;#039;nodal plane&amp;#039;&amp;#039; between two atoms, it is said to be &amp;#039;&amp;#039;antibonding with respect to those atoms&amp;#039;&amp;#039;. Antibonding orbitals are often labelled with an asterisk (*) on molecular orbital diagrams. &lt;br /&gt;
 &lt;br /&gt;
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==Polyatomic molecules==&lt;br /&gt;
[[File:Butadiene-pi-MOs-Spartan-3D-balls.png|thumb|right|200px|Butadiene pi molecular orbitals. The two colors show opposite signs of the wavefunction.]]&lt;br /&gt;
In molecules with several atoms, some orbitals may be [[Physics:Delocalized electron|delocalized]] over more than two atoms. A particular molecular orbital may be &amp;#039;&amp;#039;bonding with respect to some adjacent pairs of atoms&amp;#039;&amp;#039; and &amp;#039;&amp;#039;antibonding with respect to other pairs&amp;#039;&amp;#039;. If the bonding interactions outnumber the antibonding interactions, the MO is said to be &amp;#039;&amp;#039;bonding&amp;#039;&amp;#039;, whereas, if the antibonding interactions outnumber the bonding interactions, the molecular orbital is said to be &amp;#039;&amp;#039;antibonding&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
For example, [[Chemistry:Butadiene|butadiene]] has pi orbitals which are delocalized over all four carbon atoms. There are two bonding pi orbitals which are occupied in the [[Physics:Ground state|ground state]]: π&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; is bonding between all carbons, while π&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; is bonding between C&amp;lt;sub&amp;gt;1&amp;lt;/sub&amp;gt; and C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; and between C&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt; and C&amp;lt;sub&amp;gt;4&amp;lt;/sub&amp;gt;, and antibonding between C&amp;lt;sub&amp;gt;2&amp;lt;/sub&amp;gt; and C&amp;lt;sub&amp;gt;3&amp;lt;/sub&amp;gt;. There are also antibonding pi orbitals with two and three antibonding interactions as shown in the diagram; these are vacant in the [[Physics:Ground state|ground state]], but may be occupied in [[Physics:Excited state|excited state]]s.&lt;br /&gt;
&lt;br /&gt;
Similarly [[Chemistry:Benzene|benzene]] with six carbon atoms has three bonding pi orbitals and three antibonding pi orbitals. Since each [[Chemistry:Carbon|carbon]] atom contributes one electron to the [[Chemistry:Pi bond|π-system]] of benzene, there are six pi electrons which fill the three lowest-energy pi molecular orbitals (the bonding pi orbitals).&lt;br /&gt;
&lt;br /&gt;
Antibonding orbitals are also important for explaining [[Chemistry:Chemical reaction|chemical reaction]]s in terms of molecular orbital theory. [[Biography:Roald Hoffmann|Roald Hoffmann]] and [[Biography:Kenichi Fukui|Kenichi Fukui]] shared the 1981 Nobel Prize in Chemistry for their work and further development of qualitative molecular orbital explanations for chemical reactions.&amp;lt;ref&amp;gt;{{cite web | title = The Nobel Prize in Chemistry 1981 | publisher = Nobelprize.org | url = http://nobelprize.org/nobel_prizes/chemistry/laureates/1981/index.html | access-date = 15 March 2022 | archive-url = https://web.archive.org/web/20081221120050/http://nobelprize.org/nobel_prizes/chemistry/laureates/1981/index.html | archive-date = 21 December 2008 | url-status = live }}&amp;lt;/ref&amp;gt;&lt;br /&gt;
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==See also==&lt;br /&gt;
*[[Chemistry:Bonding molecular orbital|Bonding molecular orbital]]&lt;br /&gt;
*[[Physics:Valence and conduction bands|Valence and conduction bands]]&lt;br /&gt;
*[[Chemistry:Valence bond theory|Valence bond theory]]&lt;br /&gt;
*[[Chemistry:Molecular orbital theory|Molecular orbital theory]]&lt;br /&gt;
*[[Chemistry:Conjugated system|Conjugated system]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{Reflist}}&lt;br /&gt;
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==Further reading==&lt;br /&gt;
&lt;br /&gt;
* Orchin, M. Jaffe, H.H. (1967) &amp;#039;&amp;#039;The Importance of Antibonding Orbitals&amp;#039;&amp;#039;. Houghton Mifflin. ISBN B0006BPT5O&lt;br /&gt;
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{{Chemical bonding theory}}&lt;br /&gt;
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[[Category:Chemical bonding]]&lt;br /&gt;
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{{Sourceattribution|Antibonding molecular orbital}}&lt;/div&gt;</summary>
		<author><name>imported&gt;WikiHarold</name></author>
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