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An equation is derived that expresses the thermodynamic scaling exponent, g,which superposes relaxation times and other measures of molecular mobilitydetermined over a range of temperatures and densities, in terms of static,physical quantities. The latter are available in the literature or can bemeasured at ambient pressure. We show for 13 materials, both molecular liquidsand polymers, that the calculated g are equivalent to the scaling exponentsobtained directly by superpositioning. The assumptions of the analysis are thatthe glass transition is isochronal and that the first Ehrenfest relation isvalid; the first assumption is true by definition, while the second has beencorroborated for many glass-forming materials at ambient pressure. However, wefind that the Ehrenfest relation breaks down at elevated pressure, althoughthis limitation is of no consequence herein, since the appeal of the newequation is its applicability to ambient pressure data.

Determination of the Thermodynamic Scaling Exponent from Static, Ambient-Pressure Quantities