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Energy Band Structure

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Semiconductor Physics

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 40))

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Abstract

The energy band structure is the relationship between the energy and momentum of a carrier in a solid. For an electron in free space, the energy is proportional to the square of the momentum. The factor of proportionality is 1/2 m 0, where m 0 is the free electron mass. In the simple model of band structure, the same relationship between energy and momentum is assumed except that m 0 is replaced by an effective mass m. This may be larger or smaller than m 0. Why this is so will be seen later in this chapter. Quite often the band structure is more complex and can only be calculated semi-empirically even with computers. A short description of some typical band structures will be given in Sect. 2.4 and used for the calculation of charge transport in Chaps. 7, 8, while in Chaps. 4, 5, the transport properties will be calculated assuming the simple model of band structure (which is quite a good approximation for most purposes).

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References

  1. R. de Laer Kronig, W.J. Penney: Proc. Roy. Soc. London A130, 499 (1930)

    Article  Google Scholar 

  2. A. Nussbaum: Semiconductor Device Physics (Prentice-Hall, Englewood Cliffs, N.J. 1962) Sects.l.9 and 1. 13

    Google Scholar 

  3. R.A. Smith: Wave Mechanics of Crystalline Solids, 2nd edn. (Chapman and Hall, London 1969) Sect. 6. 2

    Google Scholar 

  4. J.P. McKelvey: Solid-State and Semiconductor Physics (Harper and Row, New York 1966) Sect. 8. 6

    Google Scholar 

  5. E.O. Kane: J. Phys. Chem. Solids 1, 249 (1957)

    Article  Google Scholar 

  6. W.A. Harrison: Electronic Structure and the Properties of Solids (Freeman, San Francisco 1980). In particular, the pages 140, 141, 150 contain comparisons of band structures of various semiconductors M.L. Cohen, J.R. Chelikowsky: Electronic Structure and Optical Properties of Semiconductors, 2nd edn., Springer Ser. Solid-State Sci., vol. 75 ( Springer, Berlin, Heidelberg 1989 )

    Google Scholar 

  7. D. Long: Energy Bands in Semiconductors ( Wiley, New York 1968 ) p. 49

    Google Scholar 

  8. D. Matz: J. Phys. Chem. Solids 28, 373 (1967)

    Article  Google Scholar 

  9. S. Flügge: Rechenmethoden der Quantentheorie,3rd edn. Heidelberger Taschenbücher, Vol. 6 (Springer, Berlin, Heidelberg 1966) Problem No.91

    Google Scholar 

  10. F. Hund, B. Mrowka: Ber. Sächs. Akad. Wiss. 87, 185–325 (1935)

    Google Scholar 

  11. A.H. Wilson: The Theory of Metals, 2nd edn. (Cambridge Univ. Press, London 1965) pp. 66–70, 83

    Google Scholar 

  12. G.E. Kimball: J. Chem. Phys. 3, 560 (1935)

    Article  Google Scholar 

  13. F. Hund: Theorie des Aufbaues der Materie (Teubner, Stuttgart 1961 ) Chap. VII

    Google Scholar 

  14. E. Wigner, F. Seitz: Phys. Rev. 43, 804 (1933)

    Article  Google Scholar 

  15. J.C. Slater: Phys. Rev. 51, 846 (1937)

    Article  Google Scholar 

  16. C. Herring: Phys. Rev. 57, 1169 (1940)

    Article  Google Scholar 

  17. E. Antoncik: J. Phys. Chem. Solids 10, 314 (1959)

    Article  Google Scholar 

  18. J.C. Phillips, L. Kleinman: Phys. Rev. 116, 287, 880 (1959)

    Google Scholar 

  19. M.L. Cohen, V. Heine: Solid State Physics 24, 37 (Academic, New York 1970) (review)

    Google Scholar 

  20. J. Koringa: Physica 13, 392 (1947)

    Article  Google Scholar 

  21. W. Kohn, N. Rostoker: Phys. rev. 94, 1111 (1954)

    Google Scholar 

  22. N.W. Ashcroft, N.D. Mermin: Solid State Physics ( Holt, Rinehart, and Winston, New York 1976 ) p. 202

    Google Scholar 

  23. W. Shockley: Electrons and Holes in Semiconductors ( Van Nostrand, New York 1950 )

    Google Scholar 

  24. C. Kittel: Introduction to Solid State Physics, 7th edn, ( Wiley, New York 1995 )

    Google Scholar 

  25. O. Madelung: Introduction to Solid-State Theory, Springer Ser. Solid-State Sci., Vol. 2 ( Springer, Berlin, Heidelberg 1978 )

    Google Scholar 

  26. R.A. Smith: Wave Mechanics of Crystalline Solids ( Chapman and Hall, London 1961 )

    Google Scholar 

  27. H. Jones: The Theory of Brillouin Zones and Electronic States in Crystals ( North-Holland, Amsterdam 1960 )

    Google Scholar 

  28. F. Seitz: Modern Theory of Solids ( McGraw-Hill, New York 1940 )

    Google Scholar 

  29. L.P. Bouckaert, R. Smoluchowski, E.P. Wigner: Phys. Rev. 50, 58 (1936)

    Article  Google Scholar 

  30. J. Callaway: Energy Band Theory ( Academic, New York 1964 )

    Google Scholar 

  31. H.W. Streitwolf: Gruppentheorie in der Festkörperphysik ( Geest und Portig, Leipzig 1967 )

    Google Scholar 

  32. D. Long: Energy Bands in Semiconductors ( Wiley, New York 1968 )

    Google Scholar 

  33. C. Rigaux, G. Drilhorn: J. Phys. Soc. Jpn. 21, Suppl., 193 (1966) ( Proc. Int’l. Conf. Phys. Semicond. Kyoto )

    Google Scholar 

  34. J.R. Drabble: In Progress in Semiconductors, Vol.7, ed. by A.F. Gibson, R.E.Burgess ( Temple, London 1963 ) p. 45

    Google Scholar 

  35. D.L. Greenaway, G. Harbeke: J. Phys. Chem. Solids 26, 1585 (1965)

    Article  Google Scholar 

  36. I. Meingailis: J. Physique, Suppl. No.11–12, 29, 34–84 (1968)

    Google Scholar 

  37. J.O. Dimmock, I. Melngailis, A.J. Strauss: Phys. Rev. Lett. 16, 1193 (1966)

    Article  Google Scholar 

  38. C. Vérié: Festkörper-Probleme/Advances in Solid State Physics, 10, 1–19 ( Vieweg, Braunschweig 1970 )

    Google Scholar 

  39. S. Groves, W. Paul: Phys. Rev. Lett. 11, 194 (1963)

    Article  Google Scholar 

  40. R. Dornhaus, G. Nimtz: Springer Tracts Mod. Phys. 78, 1–112 ( Springer, Berlin, Heidelberg 1976 )

    Google Scholar 

  41. M. Cardona, F.H. Pollak: Phys. Rev. 142, 530 (1966)

    Article  Google Scholar 

  42. J.C. Phillips, D. Brust, F. Bassani: Proc. Int’l. Conf. Phys. Semicond., Exeter ( The Institute of Physics, London 1962 ) p. 564

    Google Scholar 

  43. A.B. Pippard: Philos. Trans. A250, 325 (1957)

    Google Scholar 

  44. W. Brauer: Einführung in die Elektronentheorie der Metalle ( Geest und Portig, Leipzig 1966 )

    Book  Google Scholar 

  45. J.M. Ziman: Contemp. Phys. 3, 241 (1962)

    Article  Google Scholar 

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Authors and Affiliations

  1. Am Modenapark 13/5, A-1030, Wien, Austria

    Professor Dr. Karlheinz Seeger

  2. Institut für Materialphysik, Universität Wien, Boltzmanngasse 5, A-1090, Wien, Austria

    Professor Dr. Karlheinz Seeger

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  1. Professor Dr. Karlheinz Seeger
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© 1997 Springer-Verlag Berlin Heidelberg

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Seeger, K. (1997). Energy Band Structure. In: Semiconductor Physics. Springer Series in Solid-State Sciences, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03347-0_2

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  • DOI: https://doi.org/10.1007/978-3-662-03347-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78064-9

  • Online ISBN: 978-3-662-03347-0

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