No CrossRef data available.
Article contents
XX.—On the Partition of Heat Energy in the Molecules of Gases
Published online by Cambridge University Press: 15 September 2014
Extract
In a paper published some time since, Mr Peddie takes up the following question: Given a gas whose molecules contain atoms which are held together by purely elastic forces, do there exist, even in this simplest type of multiply-atomic molecules, cases in which, when there is equilibrium of heat, the average equipartition of kinetic energy demanded by the Boltzmann-Maxwell Law does not exist?
- Type
- Proceedings
- Information
- Copyright
- Copyright © Royal Society of Edinburgh 1907
References
page 195 note * Peddie, W., “On Vibrating Systems which are not subject to the Boltzmann-Maxwell Law,’ Proc. Boy. Soc. Edin., vol. xxvi. 1906 (pp. 130–141).Google Scholar
page 197 note 1 Moreover, it can then be shown that the integral does not contain the co-ordinates ξ1, ξ2, ξ3. For the proof, one has to use the supposition that the forces depend only on the co-ordinates.
page 199 note * One can also proceed from any other original value of E1. Only one must then specially prove first that 
remains constant with E1. There exists here an analogy to the case of rigid molecules with rotational symmetry.
page 199 note † In § 8 this restriction will be removed.
page 200 note * Here, naturally, the earlier assumptions regarding l 11, l 12, l 13 are no longer made.
page 200 note † Cf. Peddie, l.c., § 13.
page 200 note ‡ Cf. Peddie, l.c., §§ 2, 3, 13, 14.
page 201 note * To see this readily, one introduces new quantities jhi=