Let us now compare the previous results for the degenerated problem for a particular example of a system composed of six quantum harmonic oscillators, all with frequency 1015 cm -1 . For typical photoexcited systems, we may expect vibrational energy excess of about 2 to 4 eV. These values are much bigger than the vibrational frequency (0.14 eV in our example). Thus, we can compute the temperature by numerical differentiation of the entropy (Eq. ( )), using either ( )