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The Theory of Adsorption of Gases on Solids when the Potential Energy Varies Continuously over the Surface

Published online by Cambridge University Press:  24 October 2008

A. R. Miller  and
J. K. Roberts
A. R. Miller
Affiliation:
Department of Colloid ScienceCambridge
J. K. Roberts
Affiliation:
Department of Colloid ScienceCambridge
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Extract

In developing the theory of adsorption taking into account the interaction between adsorbed particles it has been usual to use a physical model in which it is assumed that there is a fixed interaction energy between particles adsorbed on neighbouring sites on the surface. In this paper the differences between the behaviour of this model and that of actual surfaces are discussed by considering a one-dimensional film in which the potential energy of a single adsorbed particle varies continuously and periodically with its position on the surface and in which there is a repulsive force between adsorbed particles which varies with the distance between them according to an inverse power law. For such a physical model the variation of the heat of adsorption with the fraction of the sites occupied is considered in detail and it is shown in particular that there is much less difference between the behaviour of mobile and immobile films than is indicated by the earlier model in which a fixed interaction energy is assumed. These results are considered in connexion with the interpretation of experiments on the adsorption of hydrogen on tungsten.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 37 , Issue 1 , January 1941 , pp. 82 - 94
Copyright
Copyright © Cambridge Philosophical Society 1941

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References

REFERENCES

(1)Roberts, J. K.Some problems in adsorption. (Cambridge, 1939), § 2.6.Google Scholar
(2)Roberts, J. K.Proc. Roy. Soc. A, 152 (1935), 445–80; 161 (1937), 141–53.Google Scholar
(3)Roberts, J. K.Proc. Cambridge Phil. Soc. 34 (1938), 406.Google Scholar