Rl. Cook et al., PRESSURE AND TEMPERATURE-DEPENDENT VISCOSITY OF 2 GLASS-FORMING LIQUIDS - GLYCEROL AND DIBUTYL PHTHALATE, The Journal of chemical physics, 100(7), 1994, pp. 5178-5189
The pressure and temperature dependent viscosities of two glass formin
g liquids, glycerol and dibutyl phthalate (DBP), have been studied in
the range P=0-3 GPa, T=0-125-degrees-C, and eta=10(1)-10(10) cP. These
studies were made using a combination of a Tolling-ball and a centrif
ugal-force diamond anvil cell viscometer. The majority of the results
extend up to viscosities of 10(7) cP, with those at 22.5-degrees-C goi
ng to 10(10) cP. The overall precision of the data are approximately 1
0% or better throughout. This level of precision allows us to define a
viscosity surface which can then be extrapolated to the glass transit
ion along both temperature and pressure cuts. The T-dependence of visc
osity is larger for glycerol than DBP but the P-dependence smaller for
glycerol than for DBP, whereas the T-dependence is much more pressure
sensitive for DBP. These data provide an assessment of the T-dependen
ce of an isothermal model (free volume), the P-dependence of an isobar
ic model (Vogel-Tammann-Fulcher) and by extension that for isochoric c
onditions. Fragility parameters are evaluated for these three isometri
c conditions. For glycerol and (less conclusively) DBP under isobaric
conditions, the fragility increases markedly at high pressure. Under i
sochoric conditions, the fragility for both glycerol and DBP increases
with increasing density. This is dramatic for DBP, which goes from a
strong to an intermediate-strength liquid. For the isothermal model, w
e derive a new measure of fragility. Using this, DBP shows a trend com
mon to several liquids, a decrease in fragility with increasing temper
ature. Glycerol, however, becomes more fragile over the same temperatu
re range. For glycerol, the trends towards increased fragility at elev
ated pressure and temperature are consistent with diminished hydrogen
bonding under those conditions. The P-dependence of the glass transiti
on is also determined over a wide range of T. The slope, dT(g)/dP, is
positive with the pressure dependence for glycerol being considerably
smaller than for DBP; both are nonlinear, tending to saturate in tempe
rature at high pressures.