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- Video demo: demonstration of how to use the Periodic Potential Lab [Link]
- Quantum Mechanics: Periodic Potentials and Kronig-Penney Model [Link]
- Kronig-Penney Model Explained [Link ].
- Simplified Band-Structure Model [ Link ].
- Comparison of PCPBT Lab and Periodic Potential Lab [ Link ].
- Learn more about the Periodic Potential Lab in the [ Topic page ].
- Rectangular Potential
- Triangular Potential
- Parabolic (harmonic)Potential
- Coulombic Potential
- Sinosoidal Potential New potentials included in V 1.0.6
- Exponential Potential
- Gaussian Potential
- Polynomial Potential (upto order 4)
- Added predefined material masses, such as GaAs, InAs, InP.
- Reduced the maximum barrier height to a lower value in square well case. Version 1.0.5
- Wavefunction plot added to the output. Completes this wish
- 50% Wavefunction probability plot added to the output. Completes this wish
- New Sinosoidal Periodic potential added to the tool.
- Now the tool provides a log of the steps run in the tool. Version 1.0.6
- New periodic potentials have been added.
- Effective mass is provided in a separate table with E and K locations.
- Now the free electron EK starts from Emin=0eV, which provides a better comparison with the EK of the electron in periodic EK.
- Tool now provides the breakup of the time needed to obtain the solutions at different stages. Version 1.0.7
- A new 1D Density of States(DOS) plot included in the tool.
- Now the plots for allowed bands and reduced EK compared to effective mass EK are clearer.
- Effective masses calculation has been corrected and now values are correct. Can be seen in the effective mass table as well as the plot of reduced dispersion with effective mass EK plot.
- Allowed energy bands calculation has been modified to obtain all the correct energy bands.
NCN, Purdue University
- Introduction to Solid State Physics, Charles Kittel
Researchers should cite this work as follows: