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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
E. T. Goodwin
Affiliation:
The UniversitySheffield
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 35 , Issue 2 , April 1939 , pp. 232 - 241
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.