We study the properties of local potential energy minima (inherent structur
es') sampled by liquids at low temperatures as an approach to elucidating t
he mechanisms of the observed dynamical slowing down observed as the glass
transition temperature is approached. This onset of slow dynamics is accomp
anied by the sampling of progressively deeper potential energy minima. Furt
her, evidence is found in support of a qualitative change in the inherent s
tructures sampled in a temperature range that includes the mode coupling cr
itical temperature T-c, such that a separation of vibrational relaxation wi
thin inherent structure basins from that due to inter-basin transitions bec
omes valid at temperatures T < T-c, Average inherent structure energies do
not show any qualitatively significant system size dependence. (C) 1999 Pub
lished by Elsevier Science B.V. All rights reserved.