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Archive for February 13th, 2006

Eyring Equation

Monday, February 13th, 2006


k=\kappa\frac{k_{b}T}{h}e^{\left(-\Delta G^{\ddagger}/RT\right)}

Now, at T_{c}


k=\frac{\pi\delta\nu}{\sqrt{2}}

Substituting into the Eyring equation, and assuming that κ=1, which is typically true for polyatomic molecules in adiabatic reactions.

\Delta G^{\ddagger}=aT_{c}\left[9.972+\log\left(\frac{T_{c}}{\delta\nu}\right)\right]

Where a = 1.914 × 10^-2^ kJ mol^-1^ K^-1^
(Just because I can)