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Electronic states at the surfaces of crystals

IV. The activation of adsorbed atoms by surface electrons

Published online by Cambridge University Press:  24 October 2008

E. T. Goodwin
E. T. Goodwin
Affiliation:
The UniversitySheffield
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Extract

In the present paper application of the work of paper I is made to a specific problem, namely the excitation of an adsorbed atom by the surface electrons of the underlying metal. It is shown that the corresponding mean life-time in a typical excited level is 3·7 × 10−11 sec., which is comparable with the value 1·7 × 10−12 sec. for deactivation by the conduction electrons when the Brillouin zone is only partly filled. Thus, though this is an essentially surface phenomenon, the effect of the surface electrons is begligible. This suggests that their effect can, in general, only become appreciable in semi-conductors or insulators.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 35 , Issue 3 , July 1939 , pp. 474 - 484
Copyright
Copyright © Cambridge Philosophical Society 1939

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References

† Goodwin, , Proc. Cambridge Phil. Soc. 35 (1939), 205, 221 and 232.CrossRefGoogle Scholar

‡ Lennard-Jones, and Goodwin, , Proc. Roy. Soc. A, 163 (1937), 101.CrossRefGoogle Scholar We refer to this as x, it being the tenth of the series.

† Cf. X, footnote on p. 106.

† Goodwin, loc. cit. p. 211.

† In this paper we are not concerned with the internuclear distance of MX, Previously called ρ, since the value of ρnn′, is taken over directly from X. There should, therefore, be little likelihood of confusion with the coordinate ρ used here.

‡ Watson, , Theory of Bessel functions (Cambridge, 1922), pp. 20, 434 and 80.Google Scholar

† The efficiency of the individual surface electrons is much greater, but their number is much less, so that their collective, effect is less.