Periodic Potential Lab

Solve the time independent schrodinger eqn. for arbitrary periodic potentials

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Archive Version 1.0.4
Published on 10 Jun 2009, unpublished on 15 Jun 2009 All versions

doi:10.4231/D3QN5ZB1N cite this



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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.

First Time User Guide This document explains some important details about the tool and details to use the tool. This is very useful if you are running the tool for the first time or want to understand the basic science behind the tool.

Other useful documents: A list of some other useful documents associated with this tool.
  • Quantum Mechanics: Periodic Potentials and Kronig-Penney Model [Link]
  • Kronig-Penney Model Explained [Link ].
  • Simplified Band-Structure Model [ Link ].

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NCN, Purdue University

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  • 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," (DOI: 10.4231/D3QN5ZB1N).

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