Increased interest in molecular time scales below the glass transition temperature, T
g, has arisen from the
desire to identify the conditions (e.g., temperature) where the molecular processes which lead to unwanted
changes in amorphous systems (e.g., chemical reactivity, crystallization, structural collapse) are improbable.
The purpose of this study was to characterize the molecular mobility of selected amorphous systems (i.e.,
indomethacin, sorbitol, sucrose, and trehalose) below T
g using a combined experimental and theoretical
approach. Of particular interest was the temperature where the time scales for molecular motion (i.e., relaxation
time) exceed expected lifetimes or storage times. As a first approximation of this temperature, the temperature
where the thermodynamic properties of the crystal and the equilibrium supercooled liquid converge (i.e., the
Kauzmann temperature, T
K) was determined. T
K values derived from heat capacity and enthalpy of fusion
data ranged from 40 to 190 K below the calorimetric T
g. A more refined approach, using a form of the
Vogel−Tamman−Fulcher (VTF) equation derived from the Adam−Gibbs formulation for nonequilibrium
systems below T
g, was used to predict the temperatures where the relaxation times of real glasses exceed
practical storage times. Relaxation times in glasses were characterized in terms of their fictive temperature,
as determined from heat capacity data measured using modulated differential scanning calorimetry. The
calculated relaxation times were in good agreement with measured relaxation times for at least two materials.
Relaxation times in real glasses were on the order of three years at temperatures near T
K, indicating low (but
not zero) mobility under conditions where the equilibrium supercooled liquid experiences total loss of structural
mobility. The results of this study demonstrate the importance of excess configurational entropy formed during
vitrification in determining structural relaxation dynamics in real glasses.