Dependence of the Fluctuation Free Volume of Amorphous Substances on the Cooling Rate

The dependence of the fraction f _g of fluctuation free volume (frozen at the glass transition temperature) on the cooling rate is determined using the Bartenev equation for the dependence of the glass transition temperature on the cooling rate. Both dependences are found to be similar to each other. It is shown that the constancy of the ratio of the empirical coefficients involved in this equation (C ₁/C ₂ const 0.03) stems from the criterion for glass transition (f _g const 0.02–0.03) in the theory of fluctuation free volume.