Using classical molecular dynamics simulations combined with the Voron
oi tessellation we study, at very low temperature, the local structure
in a model glass as a function of the quenching rate and the relaxati
on time. The critical quenching rate below which crystallization effec
ts become important is detected by the geometrical analysis. In fact w
e show that this rate can be viewed as an ideal cooling rate since the
study as a function of the aging time reveals a maximum stability of
the glass structures quenched at that rate.