The equivalente degenerated model with arithmetic mean frequency gave an excellent approximation for the temperature of the isolated H2O2. Nevertheless, is this a general result or just a coincidence? To check this point, I have computed the Gibbs volume temperature for 30 arbitrary systems (10 with N = 6, 10 with N = 7, and 10 with N = 8) with frequencies randomly distributed between 300 and 3000 cm -1 . The systems with N equal 7 and 8 do not correspond to )). N = 9, which correspond to Nat = 5, is already unaffordable. For each energy value, the relative error