A numeric study on the influence of the values of the parameter p in kronig–peneny equation on the width of the bands

Abstract EN

-After showing the importance of Bloch Theory about Schrödinger' equation solution with a periodic potential; we demonstrated that the periodic structure of square well in one dimension of the model of Kronig-Penney on the band theory of solid, shows clearly the structure of the allowed and forbidden bands in the in the crystalized solids and we showed how we can introduce the parameter p in the final equation of this model of bands.

Then, we conducted a sufficient study on the influence of this parameter on the widths of the allowed and forbidden energy bands in the crystals.

We find that, the width of an allowed band decreases with the increase in the value of this parameter, and the width of a forbidden band increases with the increase in the value of this parameter.