The steady-state formulation, rather than that of dynamic equilibrium, is invoked since biological phenomena, in contrast with most chemical and physical phenemena, are time irreversible.
The Eyring-Stover theory of survival describes the observed biological phenomena of damage and repair as steady-state processes that can be expressed in the formalism of absolute reaction rate theory. International Nuclear Information System (INIS) The Eyring-Stover theory of survival applied to life-span radiation effects studies in animals Our work highlights capabilities and shortcomings of Eyring transition state theory and quantum chemical methods, when applied for the Z\\to E (back-)isomerization of azobenzenes under solvent-free conditions. Also, the effect of anharmonicities on activation entropies is discussed for this model system. For a simpler model—Z\\to E isomerization in azobenzene—a systematic test of quantum chemical methods from both density functional theory and wavefunction theory is carried out in the context of Eyring theory. Several factors are discussed that may have an influence on activation entropies, among them dynamical and geometric constraints (imposed by the MOF). However, theoretical Arrhenius prefactors and activation entropies are in qualitiative disagreement with experiment.
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As previously found for other azobenzenes (albeit in solution), good agreement between theory and experiment emerges for activation energies and activation free energies, already at a comparatively simple level of theory, B3LYP/6-31G* including dispersion corrections. We critically test the validity of Eyring transition state theory for this reaction. The molecule can be switched thermally from cis to trans, under solvent-free conditions. In this paper, quantum chemical calculations are performed to model the kinetics of an experimental benchmark system, where a modified azobenzene (AzoBiPyB) is embedded in a metal-organic framework (MOF). It has been studied for decades, yet its kinetics is not fully understood. The thermal Z\\to E (back-)isomerization of azobenzenes is a prototypical reaction occurring in molecular switches. Rietze, Clemens Titov, Evgenii Lindner, Steven Saalfrank, Peter Thermal isomerization of azobenzenes: on the performance of Eyring transition state theory The new mathematical model is derived by combining the Arrhenius equation and the Eyring-Polanyi transition theory. The objective of this work is to develop a new thermodynamic mathematical model for evaluating the effect of temperature on the rate of microbial growth. This article focuses on two dimensional (2D) systems, but the approaches developed in this article can be extended to 3D systems.Įffect of temperature on microbial growth rate - thermodynamic analysis, the arrhenius and eyring-polanyi connection The obtained Hall conductivity is clearly quantized as with prefactors related to both the magnetic flux quantum number and the magnetic quantum number via the azimuthal quantum number, with and without an externally applied magnetic field. The basic assumptions are that the conduction process is a common rate controlled "reaction" process that can be described with Eyring's absolute rate process theory the mobility of electrons should be dependent on the free volume available for conduction electrons. The Hall effects, especially the integer, fractional and anomalous quantum Hall effects, have been addressed using Eyring's rate process theory and free volume concept. Integer, fractional, and anomalous quantum Hall effects explained with Eyring's rate process theory and free volume concept.
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