FIGURE 3.
Frequency dependence in MHz of the normalized density of vibrational distribution of states σ(ω)/3N calculated from Eq. 1 for different dimensionalities d (3, dS = 4/3 and 1). The range of frequency (104 − 2 × 107 Hz) probed by magnetic relaxation dispersion is indicated by an arrow. The frequency, Ω ≈ 1013 Hz, corresponds to the highest vibrational mode. One notes a dramatic increase (18 orders of magnitude) of the density of vibrational states at low-frequency when reducing the dimensionality from d = 3 to d = 1.