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Pi bond
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In , pi bonds ( π bonds) are chemical , in each of which two lobes of an on one overlap with two lobes of an orbital on another atom, and in which this overlap occurs laterally. Each of these atomic orbitals has an of zero at a shared nodal plane that passes through the two bonded . This plane also is a nodal plane for the molecular orbital of the pi bond. Pi bonds can form in and but do not form in in most cases.

The Greek letter π in their name refers to , since the of the pi bond is the same as that of the p orbital when seen down the bond axis. One common form of this sort of bonding involves p orbitals themselves, though also engage in pi bonding. This latter mode forms part of the basis for .


Properties
Pi bonds are usually weaker than . The C–C double bond, composed of one sigma and one pi bond,
(1992). 9780024181701, Macmillan. .
has a less than twice that of a C–C single bond, indicating that the stability added by the pi bond is less than the stability of a sigma bond. From the perspective of quantum mechanics, this bond's weakness is explained by significantly less overlap between the component p-orbitals due to their parallel orientation. This is contrasted by sigma bonds which form bonding orbitals directly between the nuclei of the bonding atoms, resulting in greater overlap and a strong sigma bond.

Pi bonds result from overlap of atomic orbitals that are in contact through two areas of overlap. Most orbital overlaps that do not include the s-orbital, or have different internuclear axes (for example px + py overlap, which does not apply to an s-orbital) are generally all pi bonds. Pi bonds are more diffuse bonds than the sigma bonds. in pi bonds are sometimes referred to as pi electrons. Molecular fragments joined by a pi bond cannot rotate about that bond without breaking the pi bond, because rotation involves destroying the parallel orientation of the constituent p orbitals.

For homonuclear diatomic molecules, bonding π molecular orbitals have only the one nodal plane passing through the bonded atoms, and no nodal planes between the bonded atoms. The corresponding , or π* ("pi-star") molecular orbital, is defined by the presence of an additional nodal plane between these two bonded atoms.


Multiple bonds
A typical consists of one sigma bond and one pi bond; for example, the C=C double bond in (H2C=CH2). A typical , for example in (HC≡CH), consists of one sigma bond and two pi bonds in two mutually perpendicular planes containing the bond axis. Two pi bonds are the maximum that can exist between a given pair of atoms. are extremely rare and can be formed only between atoms, and consist of one sigma bond, two pi bonds and one .

A pi bond is weaker than a sigma bond, but the combination of pi and sigma bond is stronger than either bond by itself. The enhanced strength of a multiple bond versus a single (sigma bond) is indicated in many ways, but most obviously by a contraction in bond lengths. For example, in organic chemistry, carbon–carbon are about 154  in , 134 pm in ethylene and 120 pm in acetylene. More bonds make the total bond length shorter and the bond becomes stronger.

+Comparison of bond-lengths in simple structures
(1 σ bond) (1 σ bond + 1 π bond) (1 σ bond + 2 π bonds)


Special cases
A pi bond can exist between two atoms that do not have a net sigma-bonding effect between them.

In certain , pi interactions between a metal atom and and pi antibonding orbitals form pi-bonds.

In some cases of multiple bonds between two atoms, there is no net sigma-bonding at all, only pi bonds. Examples include diiron hexacarbonyl (Fe2(CO)6), (C2), and diborane(2) (B2H2). In these compounds the central bond consists only of pi bonding because of a sigma accompanying the sigma bond itself. These compounds have been used as computational models for analysis of pi bonding itself, revealing that in order to achieve maximum the bond distances are much shorter than expected.


See also

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