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The total bond order between adjacent carbon atoms of benzene is ​
Question

The total bond order between adjacent carbon atoms of benzene is


A.

0.5

B.

2

C.

1.5

D.

2.5

Correct option is C

​Benzene is an organic chemical compound with the molecular formula C6H6. The benzene molecule is composed of six carbon atoms joined in a planar hexagonal ring with one hydrogen atom attached to each. Because it contains only carbon and hydrogen atoms, benzene is classed as a hydrocarbon. 

X-ray diffraction shows that all six carbon-carbon bonds in benzene are of the same length, at 140 picometres (pm). The C–C bond lengths are greater than a double bond (135 pm) but shorter than a single bond (147 pm). This intermediate distance is caused by electron delocalization: the electrons for C=C bonding are distributed equally between each of the six carbon atoms.

In molecular orbital theory, bond order is defined as half the difference between the number of bonding electrons and the number of antibonding electrons as per the equation below. This often but not always yields similar results for bonds near their equilibrium lengths, but it does not work for stretched bonds. Bond order is also an index of bond strength and is also used extensively in valence bond theory.

In benzene, the delocalized molecular orbitals contain 6 pi electrons over six carbons, essentially yielding half a pi bond together with the sigma bond for each pair of carbon atoms, giving a calculated bond order of 1.5 (one and a half bond).

For each C-C single bond, it has two bonding electrons. B.O for each C-C single bond = (2-0)/2 = 1

Benzene has six pi molecular orbitals. The number of electrons in the pi-bonding molecular orbital of benzene is six. While there are no electrons in the antibonding molecular orbital. Thus, for benzene the pi bond order = (6-0)/2= 3

The bond order for each C-C bond in benzene is = 1 + 0.5 = 1.5

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