Simulationof Energy Levels for Electron Subjected to 1d Periodic Potentials Based on Nearly Free Approximation

Results of theoretical models for calculations of electron energy levels in one-dimensional periodic potentials are presented. An appropriate equation to obtain the energy levels for electron subjected to any periodic potential such as Rectangular potential, Cosine potential, saw-toothed potentials is derived. An electron subjected to a rectangular potential under some limited parameters is considered. The computed values were obtained using the simulated Fortran Codes and ran on a FORTRAN 97 compiler o an accuracy of at least 1 percent. The results have shown good degree of accuracy when compared with the similar results in the some theoretical models.