Despite the same frequency, we argue that because these dynamics simulations are performed on excited CMESs and the underlying quantum picture corresponds to excited state harmonic oscillator wave functions, these vibrational frequencies ω should not be viewed as the fundamental transition frequency. Instead, they should be viewed as excited states absorption frequencies, which happen to be the same as the fundamental transition frequency in the harmonic oscillator model. This is the key hypothesis of this paper, which we will provide numerical support in Section 3 on a series of anharmonic model systems.