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Quantum Mechanics and Band Theory

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Part of the book series: Modern Electrical Studies ((MOELST))

Abstract

The Bohr theory of the atom was founded on a hypothesis, that the momentum of the orbiting electron is an integral multiple of (h/2π) (section 1.3). No justification for this was given, nor was certain finer detail of atomic spectra accurately accounted for on Bohr’s theory. Justification had, in fact, to await a suggestion put forward in 1924 by L. de Broglie. He argued that if electromagnetic radiation could often be considered to be made up of particles, could not particles often be considered as waves? This suggestion was developed by de Broglie, Dirac, Heisenberg and Schrödinger in the years 1926 and 1927, and formed the basis of a new quantum theory called quantum mechanics.

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References

  1. See for example BORN, M. (1963), Atomic physics,pp. 92,348. Blackie.

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  2. DAVISSON, C. and GERMER, L. H. (1927), `Diffraction of electrons by a crystal of nickel’, Phys. Rev., 30, 705–40.

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  3. See for example: PIPES, L. A. (1946), Applied mathematics for engineers and physicists,pp. 353, and 331–2, McGraw-Hill.

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  4. LOTHIAN, G. F. (1963), Electrons in atoms,pp. 89–104, and chapter 8, Butterworth.

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  5. BLOCH, F. (1928), `Quantum mechanics of electrons in crystal lattices’, Z. Physik, 52, 555–600.

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  6. KRONIG, R. DE L. and PENNEY, W. G. (1930), `Quantum mechanics of electrons in crystal lattices, Proc. Roy. Soc., A130, 499–513.

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  7. SHOCKLEY, W. (1950), Electrons and holes in semiconductors,p. 143, Van Nostrand.

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  8. BRAGG, W. L. (1913), `Diffraction of short electromagnetic waves by a crystal’, Proc. Camb. Phil. Soc., 17, 43–51.

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  9. BRILLOUIN, L. (1953), Wave propagation in periodic structures,Dover Publications.

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  10. A more thorough study of crystallography will be found in BARRETT, C. s. (1952), Structure of metals,McGraw-Hill.

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  11. ZIMAN, J. M. (1964), Principles of the theory of solids, Cambridge Univ. Press.

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  12. DEKKER, A. J. (1962), Solid state physics,MacMillan.

    Google Scholar 

  13. JONES, H. (1962), Theory of brillouin zones and electronic states in crystals,North-Holland.

    Google Scholar 

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© 1966 Springer Science+Business Media Dordrecht

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Nichols, K.G., Vernon, E.V. (1966). Quantum Mechanics and Band Theory. In: Transistor Physics. Modern Electrical Studies. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9916-5_2

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  • DOI: https://doi.org/10.1007/978-94-010-9916-5_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-412-21080-8

  • Online ISBN: 978-94-010-9916-5

  • eBook Packages: Springer Book Archive

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