Periodic Potential Lab

Solve the time independent schrodinger eqn. for arbitrary periodic potentials

Launch Tool

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Archive Version 1.0.3
Published on 18 Nov 2008, unpublished on 10 Jun 2009 All versions

doi:10.4231/D38911Q5B cite this

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Abstract

The Periodic Potential Lab solves the time independent Schroedinger Equation in a 1-D spatial potential variation. Rectangular, triangular, parabolic (harmonic), and Coulomb potential confinements can be considered. The user can determine energetic and spatial details of the potential profiles, compute the allowed and forbidden bands, plot the bands in a compact and an expanded zone, and compare the results against a simple effective mass parabolic band. Transmission is also calculated through the well for the given energy range.

Recent Changes:

  • Version 1.0.3: Added predefined material masses, such as GaAs, InAs, InP.
  • Version 1.0.3: Reduced the maximum barrier height to a lower value in square well case.

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References

Introduction to Solid State Physics, Charles Kittel

Cite this work

Researchers should cite this work as follows:

  • Abhijeet Paul; Gerhard Klimeck (2014), "Periodic Potential Lab," http://nanohub.org/resources/kronig_penney. (DOI: 10.4231/D38911Q5B).

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Tags

  1. nanoelectronics
  2. Effective mass
  3. Periodic Potential
  4. wavefunction
  5. nanoelectronics
  6. Kroenig-Penney
  7. Effective mass
  8. Periodic Potential
  9. wavefunction
  10. Kroenig-Penney
  11. NCN@Purdue Supported
  12. NCN Supported
  13. NCN Supported
  14. NCN@Purdue Supported
  15. density of states
  16. Kronig-Penney Model
  17. kronig-penney