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Electronic states at the surfaces of crystals

III. The approximation of tight binding: further extensions

Published online by Cambridge University Press:  24 October 2008

E. T. Goodwin
Affiliation:
The UniversitySheffield

Extract

The method of the previous paper is extended to determine the surface states of a simple cubic crystal on the approximation of tight binding. It is also applied to the case of a semi-infinite linear chain when the atomic s- and p-states are to be regarded as degenerate, the existence of surface states being again predicted.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1939

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References

Cf. M.J. pp. 72 et seq. (see reference in paper I, p. 205).

M.J. p. 66.

M.J. pp. 59 and 72.

Cf. M.J. p. 68, equation (58·1).

Here, as in I and II, we neglect the electron spin which has the effect of doubling the number of possible electronic states.

§ Cf. M.J. pp. 56 and 69.