In the present work, we would like to examine the problem posed by the inuence of the local structure of hydrogen bonded labile clusters on the global understanding of these liquids, under two dierent perspectives, one based of charge order arguments, and the other on the importance of the dynamics of the labile structures. For this, we investigate the atom-atom pair correlation functions of classical models of water, methanol and ethanol. Molecular dynamics simulations are conducted and dynamical atom-atom correlation functions are computed from the 5ns long trajectories. Details can be found in the Supplemental Information(SI). In general, it is found that all dynamical functions are signicantly decayed within 100ps. The calculated functions are as follows. If ρ ai (r, t) = δ(r -r ia (t)) designates the time dependent local density of atom a of a molecule i in the liquid, located at position r at time t, then from this random variable on could dene another random variable which is the total dynamical density of atom a as ρ a (r, t) = i=1,N ρ ia (r, t), where N is the number of molecules. From these 2 random variables, using the isotropy and homogeneity of the liquid state, one can dene the total van Hove dynamical correlation function between a pair of atoms a and b as by the ensemble