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Example · Example 5

Q.PCl5\text{PCl}_5 is trigonal bipyramidal in the gas phase but behaves as an ionic solid in the crystalline state. Describe both structures and explain the difference.

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In the gas/vapour phase, PCl5\text{PCl}_5 is a discrete, covalent molecule: phosphorus is sp3dsp^3d hybridised, with three chlorine atoms in equatorial positions at 120∘120^\circ to each other and two chlorine atoms in axial positions, perpendicular to the equatorial plane, giving a trigonal bipyramidal shape. The two axial P-Cl bonds are experimentally longer and weaker than the three equatorial bonds, because each axial bond is repelled by three neighbouring equatorial bonding pairs at 90∘90^\circ, while each equatorial bond is repelled by only two axial pairs at 90∘90^\circ (plus two equatorial pairs at the wider 120∘120^\circ). In the solid state, PCl5\text{PCl}_5 instead adopts an ionic structure: one PCl5\text{PCl}_5 unit effectively donates a chloride ion to a second PCl5\text{PCl}_5 unit, giving a lattice of tetrahedral [PCl4]+[\text{PCl}_4]^+ cations (sp3sp^3 phosphorus, four equivalent Cl at 109.5∘109.5^\circ) paired with octahedral [PCl6]−[\text{PCl}_6]^- anions (sp3d2sp^3d^2 phosphorus, six equivalent Cl at 90∘90^\circ). This gas-versus-solid structural change happens because the ionic lattice, with its strong ele …

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