The rates of unimolecular reactions in gases
- 1 January 1939
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 35 (1) , 56-69
- https://doi.org/10.1017/s0305004100020739
Abstract
The molecule of a dissociating gas is treated as a dynamical system with n normal modes of vibration with incommensurable frequencies. The assumption that the molecule dissociates when one coordinate attains a critical high value leads to a unimolecular velocity constant expressed as an integral; analytical expressions are derived for bounds to its value. Calculations in a simple case indicate that the velocity constant is approximately of the formThis is in general agreement with experiment if the constant W is identified with the corresponding empirical energy constant.Keywords
This publication has 2 references indexed in Scilit:
- On the Real Zeros of a certain Trigonometric FunctionMathematical Proceedings of the Cambridge Philosophical Society, 1935
- ber die Gleichverteilung von Zahlen mod. EinsMathematische Annalen, 1916