The dynamic structure factor of the glass formers glycerol, o-terpheny
l, and n-butyl-benzene has been studied by inelastic x-ray scattering
across the liquid-glass transition. Data taken at selected temperature
s in the 1-8 nm(-1) momentum transfer (Q) range show a propagating sou
nd like mode in both liquid and glass phases. The energy of this mode,
studied at fixed Q (approximate to 2 nm(-1)) on a fine temperature gr
id, shows a cusp behavior in a region either comparable or higher than
the macroscopic structural arrest temperature T-c. This suggests the
existence of a correlation between the glass structure and the arrest
taking place at the molecular scale.