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XXXVI.—Graphite Crystals and Crystallites. II. Energies of Mobile Electrons in Crystallites Infinite in One Direction

Published online by Cambridge University Press:  14 February 2012

C. A. Coulson
Affiliation:
Wheatstone Physics Laboratory, King's College, London
G. S. Rushbrooke
Affiliation:
Chemistry Department, Leeds University

Summary

The shapes of the energy bands have been determined for the mobile electrons in graphitic strips of infinite length but finite width, using as a basis the approximation of tight binding discussed for finite crystal layers in the previous paper. It appears that the effect of including overlap between the orbitals of adjacent atoms, whose incorporation in this type of calculation has hitherto been neglected, is to widen the top half of the band by a factor of the order of 2 or 3, the lower half of the band not being greatly affected. Some of these strips may be classed as conductors, the others as insulators; but the distinction between the two may not be made on the basis of any simple chemical bond diagrams.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1946

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References

REFERENCES TO LITERATURE

Greene, J. B., and Manning, M. F., 1943. “Electronic Energy Bands in Face-centred Iron”, Phys. Rev., LXIII, 207.Google Scholar
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