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Compensation effect as a consequence of vibrational energy transfer in homogeneous and isotropic heat field

  • Nicolina Pop
  • Gabriela Vlase
  • T. Vlase
  • N. Doca
  • A. Mogoş
  • A. Ioiţescu
Article

Abstract

By kinetics of decomposition of solids in both isothermal and non-isothermal conditions, the compensation effect (CE) is rather a rule.

The topic of this work is to suggest an activation mechanism which leads to the dependences similar with CE.

The solid is assimilated to a system of the harmonic oscillator with a Bose-Einstein energy distribution.

Considering an activation process due to a vibrational energy transfer from a homogeneous and isotropic field of thermic oscillators to the solid-state oscillator, the thermodynamic functions are in the relationship
$$ \Delta S^ * = \Delta H^ * /T_{is} $$
where ΔH* and ΔS* are the activation functions and T is is the isokinetic temperature.
Taking into account the definitions of H and S by means of the partition function, the isokinetic temperature is assimilated with the characteristic temperature
$$ T = \hbar \theta /k_B $$

An important consequence, a correlation between the isokinetic temperature and the spectroscopic wavenumber of the activated bond, is illustrated by a number of decomposition reactions under non-isothermal conditions.

Keywords

activation mechanism compensation effect isokinetic temperature vibrational energy 

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Copyright information

© Springer Science+Business Media, LLC. 2008

Authors and Affiliations

  • Nicolina Pop
    • 1
  • Gabriela Vlase
    • 1
  • T. Vlase
    • 1
  • N. Doca
    • 1
  • A. Mogoş
    • 1
  • A. Ioiţescu
    • 1
  1. 1.Research Center for Thermal Analysis in Environmental ProblemsWest University of TimişoaraTimişoaraRomania

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