|  | Useful Concepts |  | 
The resonance
  
  energy of a compound is a
  
  measure of the extra stability of the conjugated system compared to the
  
  corresponding number of isolated double bonds.  This can be
  
  calculated
  
  from experimental measurements. 
  
|  | The diagram shows
the experimental heats of hydrogenation, ΔHh,
for three molecules, benzene, 1,3-cyclohexadiene and cyclohexene. These
are related in that under appropriate conditions that can all be
reduced
to the same product, cyclohexane. The ΔHh for "cyclohexatriene", a hypothetical molecule in which the double bonds are assumed to be isolated from each other, is calculated to be 3 times the value for cyclohexene. This value reflects the energy we could expect to be released from 3 isolated C=C. By comparing this value with the experimental value for benzene, we can conclude that benzene is 152 kJ or 36 kcal / mol more stable than the hypothetical system. This is the resonance energy for benzene. What is the resonance energy of 1,3-cyclohexadiene ? ANSWER | 
| In principle, resonance energies can be calculated for any π systems. The following table contains data on a selection of systems, and some comments about them in relation to benzene or about their aromaticity. | 
|  | 
|  | © Dr. Ian Hunt, Department of Chemistry |  |