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Compensation effect as a consequence of vibrational energy transfer in homogeneous and isotropic heat field
Authors:Nicolina Pop  Gabriela Vlase  T Vlase  N Doca  A Mogoş  A Ioiţescu
Institution:(1) Research Center for Thermal Analysis in Environmental Problems, West University of Timişoara, Str. Pestalozzi No. 16, Timişoara, 300115, Romania
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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