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Preliminary Results on the Nature of n in Equation (dx/dt)=(a-x)n as Applied to Three Solid Thermal Decomposition Reactions

  • Chapter
Analytical Calorimetry

Abstract

The relation

$$ \frac{{d\alpha }}{{dt}} = k{(1 - \alpha )^n} $$
((1))

a fundamental equation in homogeneous kinetics, has been widely applied to solid-state chemistry. This application has been as widely contested because the physical significance of the equation in solid reactivity has not been elucidated. This is particularly true for values of n other than 0, 1/2, 2/3. and 1 , yet precise experimental results show that n frequently acquires values other than these. Thus, the equation has been used mainly for purposes of analytical convenience.

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Author information

Authors and Affiliations

  1. Lighting Research Laboratory, General Electric Co., Cleveland, Ohio, 44112, USA

    D. M. Speros

  2. Lamp Glass Dept., General Electric Co., Cleveland, Ohio, 44143, USA

    H. R. Werner

Authors
  1. D. M. Speros
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  2. H. R. Werner
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Editor information

Editors and Affiliations

  1. Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts, USA

    Roger S. Porter (Head) (Head)

  2. Department of Chemistry and Institute of Materials Science, University of Connecticut, Storrs, Connecticut, USA

    Julian F. Johnson

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© 1974 Springer Science+Business Media New York

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Speros, D.M., Werner, H.R. (1974). Preliminary Results on the Nature of n in Equation (dx/dt)=(a-x)n as Applied to Three Solid Thermal Decomposition Reactions. In: Porter, R.S., Johnson, J.F. (eds) Analytical Calorimetry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4509-2_39

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  • DOI: https://doi.org/10.1007/978-1-4757-4509-2_39

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-4511-5

  • Online ISBN: 978-1-4757-4509-2

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