Worked example 1
The enthalpy of hydrogenation of cyclohexene is -120 kJ mol^{-1}. Based on this, predict the enthalpy of hydrogenation for the hypothetical cyclohexa-1,3,5-triene. The experimental value for benzene is -208 kJ mol^{-1}. Calculate the delocalisation energy of benzene.
Show solution outline
Step 1: Calculate the theoretical enthalpy of hydrogenation for a structure with three double bonds (Kekulé structure). Expected ΔH = 3 × (Enthalpy of hydrogenation of cyclohexene) Expected ΔH = $3 \times (-120 \text{ kJ mol}^{-1}) = -360 \text{ kJ mol}^{-1}$
Step 2: Compare the theoretical value with the experimental value. Experimental ΔH for benzene = -208 kJ mol^{-1}
Step 3: Calculate the difference, which represents the delocalisation energy. Delocalisation Energy = Theoretical ΔH - Experimental ΔH Delocalisation Energy =
This means that benzene is 152 kJ mol^{-1} more stable than the hypothetical cyclohexa-1,3,5-triene due to the delocalisation of its pi electrons.