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D-optimal design of DSC experiments for nth order kinetics

D-optimal design of DSC experiments for nth order kinetics D-optimal experimental designs are developed for differential scanning calorimetry experiments conducted under non-isothermal, constant heating modes under the assumption that the kinetics can be described by an nth order model. Two separate cases are considered: single-scan experiments in which the entire rate of reaction versus temperature curve is available, albeit only at selected points, and multiple-scan experiments in which only the temperature at the maximum in the DSC curve is available but it is known at several heating rates. For the single-scan experiment, the D-optimal heating rate and critical extents of reaction where the data should be analyzed are determined. For the multiple-scan experiment the three D-optimal heating rates are determined. For both cases, a hypothetical example is given which illustrates the success and limitations of this approach. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Thermal Analysis and Calorimetry Springer Journals

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References (18)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Akadémiai Kiadó, Budapest, Hungary
Subject
Chemistry; Measurement Science and Instrumentation; Inorganic Chemistry ; Polymer Sciences ; Analytical Chemistry ; Physical Chemistry
ISSN
1388-6150
eISSN
1572-8943
DOI
10.1007/s10973-009-0116-2
Publisher site
See Article on Publisher Site

Abstract

D-optimal experimental designs are developed for differential scanning calorimetry experiments conducted under non-isothermal, constant heating modes under the assumption that the kinetics can be described by an nth order model. Two separate cases are considered: single-scan experiments in which the entire rate of reaction versus temperature curve is available, albeit only at selected points, and multiple-scan experiments in which only the temperature at the maximum in the DSC curve is available but it is known at several heating rates. For the single-scan experiment, the D-optimal heating rate and critical extents of reaction where the data should be analyzed are determined. For the multiple-scan experiment the three D-optimal heating rates are determined. For both cases, a hypothetical example is given which illustrates the success and limitations of this approach.

Journal

Journal of Thermal Analysis and CalorimetrySpringer Journals

Published: Sep 1, 2009

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