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

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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.

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Authors and Affiliations

  1. Research Center for Thermal Analysis in Environmental Problems, West University of Timişoara, Str. Pestalozzi No. 16, Timişoara, 300115, Romania

    Nicolina Pop, Gabriela Vlase, T. Vlase, N. Doca, A. Mogoş & A. Ioiţescu

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  1. Nicolina Pop
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  2. Gabriela Vlase
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  3. T. Vlase
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  4. N. Doca
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  5. A. Mogoş
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  6. A. Ioiţescu
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Correspondence to N. Doca.

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Pop, N., Vlase, G., Vlase, T. et al. Compensation effect as a consequence of vibrational energy transfer in homogeneous and isotropic heat field. J Therm Anal Calorim 92, 313–317 (2008). https://doi.org/10.1007/s10973-007-8723-2

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