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RRKM theory/ reaction coordinate vector (helppppp)

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I have to present the attached paper in one of my course. I have too many difficulties to understand some part of that:

 

 

1- RRKM theory in this paper has been failed to apply and i do not get why?

2-in "Vectorial decomposition coordinate" section they have used reaction coordinate vector to measure the rate constant ratio. do you have any idea how they have done that? I checked the references and they were not that much helpful

 

AccChemRes92.pdf

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