A. Vailaya et C. Horvath, ENTHALPY-ENTROPY COMPENSATION IN HYDROPHOBIC INTERACTION CHROMATOGRAPHY, Journal of physical chemistry, 100(6), 1996, pp. 2447-2455
Exothermodynamic relationships between thermodynamic quantities and mo
lecular structure are employed to facilitate a molecular interpretatio
n of enthalpy-entropy compensation (EEC). For hydrophobic interactions
the compensation temperature T-C is expressed in terms of the enthalp
y and entropy change, both per unit nonpolar surface area of the molec
ules, and it is concluded that the utility of T-C as a diagnostic tool
for the mechanistic identity of processes rests on this simple depend
ence of T-C on molecular parameters. Whereas classical EEC is observed
only with processes involving no heat capacity change and T-C is eval
uated from the slopes of linear enthalpy versus entropy plots of data
measured at any temperature, this investigation shows that even when t
he heat capacity change is finite and constant or varies linearly with
the temperature, EEC can occur with processes if they are subject to
the same mechanism at a fixed temperature. Tn turn, the compensation t
emperature changes with the experimental temperature, reflecting mecha
nistic changes as expected with processes such as hydrophobic interact
ion chromatography that are governed by hydrophobic interactions and d
riven by entropy or enthalpy change at low or high temperatures. These
compensating processes exhibit at least one isoenergetic temperature
T-G, which marks the intersection point of curved van't Hoff plots, w
here all species have the same free energy change in the same way as a
t T-C in the case of linear van't Hoff plots. In turn, the isoenthalpi
c T-H and isoentropic T-S* temperatures mark the intersection points
of the respective plots of enthalpy and entropy versus temperature as
described in the literature. The triad of isothermodynamic temperature
s is characteristic for processes which can be represented by constant
heat capacity change and evince compensation behavior.