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Modulated differential scanning calorimetry in the glass transition region

II. The mathematical treatment of the kinetics of the glass transition

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Abstract

Temperature-modulated differential scanning calorimetry (TMDSC) is based on heat flow and represents a linear system for the measurement of heat capacity. As long as the measurements are carried out close to steady state and only a negligible temperature gradient exists within the sample, quantitative data can be gathered as a function of modulation frequency. Applied to the glass transition, such measurements permit the determination the kinetic parameters of the material. Based on either the hole theory of liquids or irreversible thermodynamics, the necessary equations are derived to describe the apparent heat capacity as a function of frequency.

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Presented in part at the 24th Conference of the Northamerican Thermal Analysis Society, San Francisco, CA, September 10–13, 1995.

On leave from Toray Industries, Inc., Otsu, Shiga 520, Japan.

The authors gratefully acknowledge constructive discussions with Dr. M. Reading, ICE Paints, Messrs. L. Thomas and B. S. Crowe of TA Instruments, Inc., R. Truttmann of MettIer-Toledo, and all attendees of the Third LÄhnwitz Seminar, 1994. This work was financially supported by the Div. of Materials Res., NSF, Polymers Program, Grant # DMR 90-00520 and the Div. of Materials Sci., Office of Basic Energy Sciences, U. S. Department of Energy, under Contract DE-AC05-84OR21400 with Lockheed Martin Energy Systems. Support for instrumentation came from TA Instruments, Inc. and Mettler-Toledo, Inc. Research support was also given by ICI Paints, Exxon Res. and Eng. Co., Shell Development Co., and Toray Industries, Inc.

The submitted manuscript has been authored by a contractor of the U.S. Government under the contract No. DE-AC05-84OR21400. Accordingly, the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.

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Wunderlich, B., Boller, A., Okazaki, I. et al. Modulated differential scanning calorimetry in the glass transition region. Journal of Thermal Analysis 47, 1013–1026 (1996). https://doi.org/10.1007/BF01979445

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