Journal of Mathematical Chemistry

, Volume 49, Issue 8, pp 1544–1557 | Cite as

A novel derivation of collision theory rate constants for a bimolecular reaction

  • Guglielmo Monaco
Original Paper


A novel exact derivation for the kinetic constant of a bimolecular reaction according to three well-known models of collision theory is reported. The use of probability density functions, with the introduction of a novel geometry to study the collision process, allows simplifying the derivation to such an extent, that, for a proper statistical background, it is is possible to recover the line-of-centers and the angular dependent line-of-centers models in no more than a couple of lectures. Although the derivation is introduced to recover the temperature-dependent kinetic constant, it is shown that the energy-dependent reactive cross section can be recovered as well. A possible confusion in the interpretation of the pre-exponential factor is commented.


Graduate education Physical chemistry Reference textbooks Kinetic-molecular theory 


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Dipartimento di ChimicaUniversità di SalernoFiscianoItaly

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