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Eyring equation : ウィキペディア英語版
Eyring equation

The Eyring equation (occasionally also known as Eyring–Polanyi equation) is an equation used in chemical kinetics to describe the variance of the rate of a chemical reaction with temperature. It was developed almost simultaneously in 1935 by Henry Eyring, Meredith Gwynne Evans and Michael Polanyi. This equation follows from the transition state theory (''aka'', activated-complex theory) and is trivially equivalent to the empirical Arrhenius equation which are both readily derived from statistical thermodynamics in the kinetic theory of gases.〔Chapman & Enskog 1939〕
==General form==
The general form of the Eyring–Polanyi equation somewhat resembles the Arrhenius equation:
\ k = \frac\mathrm^}
where Δ''G'' is the Gibbs energy of activation, ''k''B is Boltzmann's constant, and ''h'' is Planck's constant.
It can be rewritten as:
k = \frac \mathrm^} \mathrm^}
To find the linear form of the Eyring-Polanyi equation:
\ln \frac = \frac \cdot \frac + \ln \frac + \frac
where:
*\ k = reaction rate constant
*\ T = absolute temperature
*\ \Delta H^\ddagger = enthalpy of activation
*\ R = gas constant
*\ k_\mathrm = Boltzmann constant
*\ h = Planck's constant
*\ \Delta S^\ddagger = entropy of activation
A certain chemical reaction is performed at different temperatures and the reaction rate is determined. The plot of \ \ln(k/T) versus \ 1/T gives a straight line with slope \ -\Delta H^\ddagger / R from which the enthalpy of activation can be derived and with intercept \ \ln(k_\mathrm/h) + \Delta S^\ddagger / R from which the entropy of activation is derived.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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