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An Asymptotic Expansion for

Published online by Cambridge University Press:  24 October 2008

H. P. Mulholland
H. P. Mulholland
Affiliation:
Queens' College
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In the theory of the specific heats of gases of diatomic molecules the function

plays a well-known and important part. The rotational specific heat Crot of a diatomic molecule, which is susceptible of representation as a rigid body with two equal principal moments of inertia, without spin about the other principal axis, is given by

where R is the gram-molecular gas-constant and

the pair of equal moments of inertia being equal to A. Whether such a model is or is not an adequate representation is a matter for determination by a detailed study of the structure of the band spectrum, particularly of the nature of the normal electronic and vibrational state. It is known to be applicable to normal molecules of the halogen hydrides, to CO and other molecules which have a normal state of type 1S including (but for a certain special feature) H2.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 24 , Issue 2 , April 1928 , pp. 280 - 289
Copyright
Copyright © Cambridge Philosophical Society 1928

References

* Cf. Lindelöf, E., Calcul des Résidus, p. 56.Google Scholar

* Legitimate, since the series is uniformly convergent in (δ, ∞) and the integrand is bounded in (0, δ).Google Scholar