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III. The approximation of tight binding: further extensions
Published online by Cambridge University Press: 24 October 2008
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.
† 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.