  Contrary to previous studies of boson peak, we analyze the density of states
and specific heat contribution of dispersion forces in an amorphous solid of
nano-scales ($\sim 3 nm$). Our analysis indicates a universal semi-circle form
of the average density of states in the bulk of the spectrum along with a
super-exponentially increasing behavior in its edge. The latter in turn leads
to a specific heat, behaving linearly below $T < 1^o \; {\bf K}$ even at
nano-scales, and, surprisingly agreeing with the experiments although the
latter are carried out at macroscopic scales. The omnipresence of dispersion
forces at microscopic scales indicates the application of our results to other
disordered materials too.
