In this paper, a new relationship between the activation,) of the low temperature thermolysis and detonation energies (E(a)) temperature for different carbocyclic nitroaromatic compounds is introduced. Two structural parameters are needed to obtain a relatively good correlation for E(a). The resulting R(2) value of the new correlation is 0.942. The new equation assumes that the calculated detonation temperature can be applied to predict E(a) of carbocyclic nitroaromatic compounds with the general formula C(a)H(b)N(c)O(d) and any complicated molecular structure. The proposed new method was also used to predict E(a) of some technologically attractive high thermostable polynitro arenes with complex molecular structure, e.g., 2,2',2 '',2"',4.4',4 '' 4"',6,6'16 '',6"'-dodecanitro-[1,3',1',1 ''] quaterphenyl (DODECA).