Estimation of frequency from a temperature scanning rate in differential scanning calorimetry at the glass transition of polystyrene

A transform formulation of a heating rate β in differential scanning calorimetry (DSC) into frequency ω at the glass transition of polystyrene is proposed by using Duhamel’s theorem, a superposition integral based on a linear response theory. capacity spectroscopy in a frequency range of eight orders of magnitudes for glass transition of polystyrene, including the results of temperature wave analysis and all the literature values, is well fitted with a Vogel-Fulcher-Tamman-Hesse (VFTH) curve. The origin of the discrepancies is discussed.