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In this paper, a new method based on Greens function theory and Fouriertransform analysis has been proposed for calculating band structure with highaccuracy and low processing time. This method utilizes sampling of potentialenergy in some points of crystals unit cell with Dirac delta functions, thenthrough lattice Fourier transform gives us a simple and applicable formula formost of nanostructures. Sampling of potential in a crystal lattice of any kindcontains accurate approximation of actual potential energy of atoms in thecrystal. The step forward regarding the method concentrated on two novel ideas,Firstly, the potential was sampled and approximated by delta functions spreadover the unit cell. Secondly, the principal equation of lattice is translatedinto reciprocal lattice and resulted in a huge reduction of calculations. Bythis method, it is possible to extract the band structure of any one, two orthree dimensional crystalline structure.

Calculating the Energy Band Structure Using Sampling and Greens Function Techniques