Zeitschrift für Physik B Condensed Matter

, Volume 32, Issue 4, pp 355–362 | Cite as

Scattering of tight-binding electrons off screw dislocations

I. Numerical Solution of the Schrödinger Equation
  • Yugo Yosida
  • Kiyoshi Kawamura


The Schrödinger equation in the tight-binding approximation is solved numerically with the method of conjugate gradients to study the phase mismatching effect on the scattering of electrons off a screw dislocation. When an electron beam strikes on a screw dislocation, there appears in the down stream a semi-infinite plane on which the amplitude of electronic wave is reduced appreciably.


Spectroscopy Neural Network State Physics Electron Beam Complex System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Kawamura, K.: Z. Physik B29, 101 (1978)CrossRefGoogle Scholar
  2. 2.
    Kawamura, K.: Z. Physik B30, 1 (1978)CrossRefGoogle Scholar
  3. 3.
    See, for example, Baker, B.B., Copson, E.T.: The Mathematical Theory of Huygens' Principle, Ch. 2. Oxford: Clarendon Press 1950Google Scholar
  4. 4.
    Aharonov, Y., Bohm, D.: Phys. Rev.115, 485 (1959)CrossRefGoogle Scholar
  5. 5.
    Hestenes, M.R., Stiefel, E.: J. Res. NBS49, 409 (1952) Togawa, H.: Kyoeki kobai ho (in Japanese). Tokyo: Kyoiku Shuppan 1977Google Scholar
  6. 6.
    Hunter, S.C., Nabarro, F.R.N.: Proc. Roy. Soc. A220, 542 (1953)Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Yugo Yosida
    • 1
  • Kiyoshi Kawamura
    • 2
  1. 1.Department of Materials ScienceHiroshima UniversityHiroshimaJapan
  2. 2.Institut für Theoretische PhysikUniversität zu KölnKöln 41Federal Republic of Germany

Personalised recommendations