A novel derivation of collision theory rate constants for a bimolecular reaction
- 239 Downloads
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.
KeywordsGraduate education Physical chemistry Reference textbooks Kinetic-molecular theory
Unable to display preview. Download preview PDF.
- 1.R.D. Present Kinetic Theory of Gases (McGraw Hill, 1958)Google Scholar
- 2.Moore J.W., Pearson R.G.: Kinetics and Mechanism, 3rd edn. Wiley, New York (1989)Google Scholar
- 4.A. Gupta, Groundwork of Mathematical Probability and Statistics. (5th edn. revised; Academic Publishers, Kolkata 2004), pp. 123–124Google Scholar
- 5.A. Szabo, N.S. Ostlund, Modern Quantum Chemistry. (1st edn. revised; McGraw Hill: New York, 1989)Google Scholar
- 6.Nordman C.E., Blinder S.M.: J. Chem. Ed. 51, 790 (1969)Google Scholar
- 7.Blinder S.M.: Advanced Physical Chemistry, pp. 240–241. The Macmillan Ca., New York (1969)Google Scholar
- 11.Houston P.L.: Chemical Kinetics and Reaction Dynamics. Dover, Mineola, NY (2001)Google Scholar
- 13.D.R. Herschbach, In Nobel Lectures, Chemistry 1981–1990. (Editor-in-Charge Tore Frängsmyr, Editor Bo G. Malmström, World Scientific Publishing Co., Singapore,1992)Google Scholar