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Describe the shape of PCl5 molecule. Why are the axial bonds longer as compared to equatorial bonds?

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The ground state and excited state outer electronic configurations of phosphorus (Z = 15) are: 

Excited state: Ne 3s1 3px 1 3py 1 3p1 z 3d1 

Phosphorus atom is sp3 d hybridized in the excited state. These orbitals are filled by the electron pairs donated by five Cl atoms. The five sp3 d hybrid orbitals are directed towards the five corners of the trigonal bi-pyramidals. Hence, the geometry of PCl5 can be represented as:

There are five P–Cl sigma bonds in PCl5. Three P–Cl bonds lie in one plane and make an angle of 120° with each other. These bonds are called equatorial bonds. The remaining two P–Cl bonds lie above and below the equatorial plane and make an angle of 90° with the plane. These bonds are called axial bonds. As the axial bond pairs suffer more repulsion from the equatorial bond pairs, axial bonds are slightly longer than equatorial bonds

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