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This can be seen readily if one compares the hydrogenation enthalpy of benzene giving 1,3-cyclohexadiene (+5.6 kcal/mol) to that of the corresponding radical cation (-17.4 kcal/mol). The difference between the two numbers is close to the ca. 20 kcal/mol which is customarily associated with the extra resonance energy of benzene, which is lost on removing an electron from the 6π cyclic system.
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